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Moly-Cop Tools / document.xlsx Page 1 05/12/2022 / 08:38:43 Moly-Cop Tools, Version 3.0 About the HPGRSim_Open Spreadsheet ... Scope: The HPGRSim_Open spreadsheet was designed to simulate the Size-by-Size Mass Balance respons High Pressure Grinding Roll (HPGR), operating in Open Circuit. Theoretical Framework: The attached HPGR model has been adapted from Magín Torres' MS Thesis at the University of published in April, 2010 plus additional documentation made available by the main equipment suppliers. The model consists of 3 specific equations which all combined allow for the calculation of Specific Energy Consumption (kWh/ton), the key input for the solution of the linear grindin model equations; as they can be applied to a HPGR type of equipment: 1. Operational Gap Equation: The Operational Gap or separation between the two rolls is determined on the basis of the of compression that the ore particles are subjected to in their pass through the rolls: g = 1000 D cos a c (1 - cos a c ) / (r c /r a - cos a c ) where: g = Operational Gap, mm D = Roll Diameter, m r a = Apparent Density of the bulk particles being fed to the rolls, ton/m 3 r c = Apparent Density of the compressed particles (Cake), ton/m 3 a c = Critical Compression (Nipping) Angle defining the point at which particle compression starts, (°) Typical values of a c are in the range of 7° - 9°. 2. Capacity Equation: The grinding capacity developed by the HPGR is given by: M = 3.6 r c g L U c where: M = Grinding Capacity, ton/hr (metric) L = Roll Length, m U = Peripheral Roll Velocity, m/sec c = Extrusion/Slippage factor (between 1.0 and 1.15) Krupp Polysius, HPGR manufacturer, recommends U = 1.35 D 0.5 when D < 1.82 m or U = D when D
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CERRO VERDE-HPGRSim_Open.xlsx

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Page 1: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx Page 1 04/21/2023 / 10:40:53

Moly-Cop Tools, Version 3.0About the HPGRSim_Open Spreadsheet ...

Scope:

The HPGRSim_Open spreadsheet was designed to simulate the Size-by-Size Mass Balance response of a High Pressure Grinding Roll (HPGR), operating in Open Circuit.

Theoretical Framework:

The attached HPGR model has been adapted from Magín Torres' MS Thesis at the University of Chile, published in April, 2010 plus additional documentation made available by the main equipment suppliers.

The model consists of 3 specific equations which all combined allow for the calculation of the Specific Energy Consumption (kWh/ton), the key input for the solution of the linear grinding model equations; as they can be applied to a HPGR type of equipment:

1. Operational Gap Equation:

The Operational Gap or separation between the two rolls is determined on the basis of the degree of compression that the ore particles are subjected to in their pass through the rolls:

g = 1000 D cos ac (1 - cos ac) / (rc/ra - cos ac)

where:

g = Operational Gap, mmD = Roll Diameter, mra = Apparent Density of the bulk particles being fed to the rolls, ton/m3

rc = Apparent Density of the compressed particles (Cake), ton/m3

ac = Critical Compression (Nipping) Angle defining the point at which particle compression starts, (°)

Typical values of ac are in the range of 7° - 9°.

2. Capacity Equation:

The grinding capacity developed by the HPGR is given by:

M = 3.6 rc g L U cwhere:

M = Grinding Capacity, ton/hr (metric)L = Roll Length, mU = Peripheral Roll Velocity, m/secc = Extrusion/Slippage factor (between 1.0 and 1.15)

Krupp Polysius, HPGR manufacturer, recommends U = 1.35 D0.5 when D < 1.82 m or U = D when D > 1.82 m, in order to avoid excessive ore slippage through the rolls.

3. Net Power Draw:

The Net Power drawn by the rolls is a direct function of the compressive force applied in between the rolls, defined as:

F = 100 p D L

Page 2: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx Page 2 04/21/2023 / 10:40:53

Moly-Cop Tools, Version 3.0About the HPGRSim_Open Spreadsheet ...

where:

F = Compressive Force, kNewtonsp = Compressive Pressure, Bars

The Net Power Draw may be estimated from a typical '(torque) x (angular velocity)' equation where the torque against rotation of the rolls is being exerted by the friction component of the compressive force:

P = 2 w Torque = 2 (2 p N/60) (D/2) ( m F) = m p N D F /30

where:

P = Net Power Draw, kWw = Rotational Roll Speed, radians/secN = Rotational Roll Speed, rpmm = Friction Coefficient; which may be approximated as sin(ac)

The factor 2 in the above equation takes into account that both rolls must be provided similar amounts of power.

Finally, the Specific Energy Consumption (kWh/ton) may be calculated as:

E = P/M

As it is widely recognized, a small fraction of the feed ore by-passes the grinding device near the edges of the rolls. In order to account for this effect, it is assumed that the energy actually applied to each ensemble of particles will vary along the length of the rolls, as illustrated:

Under such assumption, the following energy balance must apply:

E M = Ec Mc + Ee Me

where the subscripts c and e refer to the center and edge material, respectively. The above expression is equivalent to:

E M = Ec [M (L - Le) /L] + (Ec/2) [M 2Le/L]

wherefrom:

Ec = E / (1 - Le/L)

Ec

E

Le LeL

Page 3: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx Page 3 04/21/2023 / 10:40:53

Moly-Cop Tools, Version 3.0About the HPGRSim_Open Spreadsheet ...

is the specific energy applied to the center particles, while E is the average specific energy applied to the whole ensemble of particles.

4. Linear Grinding Model:

The Linear Grinding Model equations (Ref. About in any of the BallSim spreadsheets) are applied to the whole ensemble of particles as well as the center particles using E and Ec, respectively, to calculate the resulting product size distributions. The edge product is then calculated by difference.In terms of Residence Time Distribution, a HPGR is assumed to behave as a nearly plug flow reactor.

Data Input and Program Execution:

The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

Page 4: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx Page 4 04/21/2023 / 10:40:53

Circuit Type OPEN Simulacion N° 1

Remarks BALANCE DE MATERIA DEL CHANCADORA TERCIARIA - HPRGCERRO VERDE

HPGR Dimensions and Operating ConditionsDefault Values

Roll Diameter, D, m 2.40Roll Length, L, m 1.40

Peripheral Speed, U, m/sec 2.40 2.40 Max19.10

Operating Pressure, p, Bars 71.00

7.10Compression Force, kNewton 23856

0.071 0.071Net Power Draw, P, kW 8130.1

8.20 8.0Operational Gap, g, mm 51.5

As % of Roll Diameter 2.1Nipping Gap, mm 76.0

Extrusion/Slippage Factor 1.00 1.00 154.4Grinding Capacity, M, ton/hr (wet) 1597.2 As # of gaps 3.0Feed Moisture, % 8.0

Grinding Capacity, M, ton/hr (dry) 1469.4

182.2

Specific Energy, E, kWh/ton 5.53

2.70

Bulk Feed Particles % Voids 35.0 35.0 ® 1.76

Product Particles (Cake) % Voids 5.0 5.0 ® 2.57

Feed Size Distribution

i Mesh Opening Mid-Size ton/hr % Retained % Passing

1 2 1/2 63500 100.002 2 50800 56796 54.52 3.71 96.293 1 1/2 38100 43994 338.71 23.05 73.244 1 25400 31109 367.36 25.00 48.245 3/4 19050 21997 339.44 23.10 25.146 5/8 15875 17390 131.37 8.94 16.27 1/2 12700 14199 163.55 11.13 5.078 3/8 9525 10999 54.52 3.71 1.369 1/4 6350 7777 6.91 0.47 0.89

10 4 4757 5496 0.59 0.04 0.8511 6 3364 4000 0.15 0.01 0.8412 8 2378 2828 0.29 0.02 0.8213 10 2000 2181 0.15 0.01 0.8114 20 841 1297 0.44 0.03 0.7815 35 500 648 0.44 0.03 0.7516 50 297 386 0.29 0.02 0.7317 70 210 250 0.73 0.05 0.6818 100 149 177 0.29 0.02 0.6619 140 105 125 0.73 0.05 0.6120 200 74 88 0.44 0.03 0.5821 -200 0 37 8.38 0.57 0.01

F99/Gap Ratio 1.16F99/Nipping Gap Ratio 0.79

Selection Function Parameters :alpha0 alpha1 alpha2 dcrit

0.03160 0.325 3 90002174.8 % of Gap

Breakage Function Parameters :beta0 beta1 beta2

0.378 0.363 4

Moly-Cop Tools TM (Version 3.0)

HPGRSIM: Circuito abierto - SIMULADOR HPRG.

(see Flowsheet)

Rotational Speed, w, rpm

Specific Grinding Force, Newton/mm2

Friction Coefficient, m

Critical Compression Angle, ac, (°)

Edge By-Pass, Le, mm

Specific Throughput, ton sec / m3 hr)

Ore Density, rs, ton/m3

App. Density, rap, ton/m3

App. Density, rc, ton/m3

M

c gD/2

p

G12
Nominal Roll Diameter
G13
Nominal Roll Length.
G15
Peripheral Roll Speed, related to the Rotational Roll Speed by the expression: U = w D/2.
H15
Krupp Polysius recommends: - If D < 1.82 m, U = 1.35 D0.5 - If D > 1.82 m, U = D, in order to avoid excessive ore slippage through the rolls.
G17
Hydraulic Pressure applied to the moving roll.
G20
Friction Coefficient between the layer of particles being ground and the surface of the rolls which converts the applied normal compression force into a radial component that opposes torque against roll rotation.
H20
The m coefficient may be estimated as sin(ac/2).
G23
Indicates the position at which particles begin to be compressed from their bulk apparent density to their maximum apparent density at the exit of the rolls (see Sketch).
H23
This angle is normally in the range of 7° to 9°.
G24
The minimum distance between the rolls (see Sketch)
G28
Correction factor to account for the possibility of 'cake' extrusion or ore slippage at the point of maximum compression.
H28
Expected to be between 1.00 and 1.15.
L28
Lengths at each extreme of the rolls where the ore may by-pass and therefore be submitted to a reduced (50%) amount of specific energy.
G30
Recommended to be as low as possible.
E41
The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.
I41
The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.
I62
This ratio should be less than 1.0 for harder ores (Compressive Strength > 250 Mpa) and up to 1.5 for softer ores (Compressive Strength < 100 Mpa)
C66
May be estimated from actual experimental data with the aid of HPGRParam_Open.
D66
May be estimated from actual experimental data with the aid of HPGRParam_Open.
E66
May be estimated from actual experimental data with the aid of HPGRParam_Open.
F66
May be estimated from actual experimental data with the aid of HPGRParam_Open.
C70
May be estimated from actual experimental data with the aid of HPGRParam_Open.
D70
May be estimated from actual experimental data with the aid of HPGRParam_Open.
E70
May be estimated from actual experimental data with the aid of HPGRParam_Open.
Page 5: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx 04/21/2023 / 10:40:54

Simulation N° 1 Remarks : BALANCE DE MATERIA DEL CHANCADORA TERCIARIA - HPRGCERRO VERDE

Moly-Cop Tools TM (Version 3.0)

HPGRSim_Open : Open Circuit HPGR Simulator

10 100 1000 10000 100000

1

10

100

Fresh Feed

HPGR Discharge

Edges

Particle Size, microns

% P

as

sin

g

Size Distributions

Page 6: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx Page 6 04/21/2023 / 10:40:54

Simulacion N° 1

HPGRSIM_OpenBALANCE DE MATERIA DEL CHANCADORA TERCIARIA - HPRG

Remarks: BALANCE DE MATERIA DEL CHANCADORA TERCIARIA - HPRGCERRO VERDE

Roll Diameter, D, m 2.40 8.20

Roll Length, L, m 1.40 Operational Gap, g, mm 51.5

As % of Roll Diameter 2.1

Peripheral Speed, U, m/sec 2.40

Rotational Speed, w, rpm 19.10 Grinding Capacity, M, ton/hr (wet) 1597.2

Operating Pressure, p, Bars 71.0 Feed Moisture, % 8.00

Grinding Capacity, M, ton/hr (dry) 1469.4

Friction Coefficient, m 0.071

Net Power Draw, P, kW 8130.1 Specific Energy, E, kWh/ton 5.53

2.70

Bulk Feed Particles % Voids 35 ® 1.76

Product Particles (Cake) % Voids 5 ® 2.57

HPGR HPGR Rolls RollsFeed Discharge Center Edge

Ore, ton/hr 1469.3 1469.3 1145.1 324.2 Water, m3/hr 127.8 127.8 99.6 28.2 Slurry, ton/hr 1597.1 1597.1 1244.7 352.4 Slurry, m3/hr 671.9 671.9 523.7 148.3 Slurry Dens., ton/m3 2.377 2.377 2.377 2.377 % Solids (by volume) 81.0 81.0 81.0 81.0 % Solids (by weight) 92.00 92.00 92.00 92.00

i Mesh Opening Size Distributions, % Passing

1 2 1/2 63500 56796 100.00 100.00 100.00 100.002 2 50800 43994 96.29 99.96 99.97 99.933 1 1/2 38100 31109 73.24 99.50 99.64 99.004 1 25400 21997 48.24 97.84 98.39 95.915 3/4 19050 17390 25.14 94.82 96.02 90.606 5/8 15875 14199 16.20 91.79 93.54 85.607 1/2 12700 10999 5.07 87.62 90.06 79.008 3/8 9525 7777 1.36 82.38 85.53 71.269 1/4 6350 5496 0.89 75.81 79.63 62.32

10 4 4756.82846 4000 0.85 70.52 74.68 55.8511 6 3363.58566 2828 0.84 64.96 69.32 49.5512 8 2378.41423 2181 0.82 59.73 64.16 44.1013 10 2000 1297 0.81 56.84 61.23 41.3414 20 840.896415 648 0.78 48.31 52.66 32.9715 35 500 386 0.75 41.52 45.58 27.2116 50 297.301779 250 0.73 35.63 39.31 22.6417 70 210.224104 177 0.68 31.80 35.16 19.9218 100 148.650889 125 0.66 28.50 31.57 17.6419 140 105.112052 88 0.61 25.56 28.36 15.6420 200 74.3254447 37 0.58 22.92 25.48 13.87

D80, microns 41806 8256 6521 13151

Moly-Cop ToolsTM, Version 3.0

Critical Compression Angle, ac, (°)

Ore Density, rs, ton/m3

Apparent Density, rap, ton/m3

Apparent Density, rc, ton/m3

Page 7: CERRO VERDE-HPGRSim_Open.xlsx

Moly-Cop Tools / document.xlsx Page 7 04/21/2023 / 10:40:54

Ratio reduccion: 5.1

Selection Function Parameters Breakage Function Parametersalpha0 alpha1 alpha2 Dcrit Beta0 Beta1 Beta2

0.03160 0.325 3 90002 0.378 0.36 4.00

Page 8: CERRO VERDE-HPGRSim_Open.xlsx

SiE

Page 8

Selection Function :

alpha0 alpha1 alpha2 dcrit0.0315955 0.3245107 3 90002.047

i Mesh Opening Mid-Size SiE

1 2 1/2 635002 2 50800 56796.127 1.37979683 1 1/2 38100 43994.091 1.13352174 1 25400 31108.52 0.94446445 3/4 19050 21997.045 0.82236266 5/8 15875 17390.191 0.75643367 1/2 12700 14199.032 0.70595898 3/8 9525 10998.523 0.6484459 1/4 6350 7777.1299 0.5787856

10 4 4756.8285 5495.9859 0.516902611 6 3363.5857 4000 0.466197812 8 2378.4142 2828.4271 0.416583313 10 2000 2181.0155 0.382879114 20 840.89642 1296.8396 0.323438115 35 500 648.41978 0.25828716 50 297.30178 385.55271 0.21819117 70 210.2241 250 0.189575518 100 148.65089 176.7767 0.169409819 140 105.11205 125 0.151389120 200 74.325445 88.388348 0.135285421 -200 0 37.162722 0

10 100 1000 10000 1000000.01

0.10

1.00

10.00

100.00

1000.00

Mid Particle Size, microns

SiE

, to

n/k

Wh

Page 9: CERRO VERDE-HPGRSim_Open.xlsx

SiE

Page 9

10 100 1000 10000 1000000.01

0.10

1.00

10.00

100.00

1000.00

Mid Particle Size, microns

SiE

, to

n/k

Wh

Page 10: CERRO VERDE-HPGRSim_Open.xlsx

Bij

Page 10

Breakage Function :

Beta00 Beta01 Beta1 Beta20.3783317 0 0.3630397 4

i Mesh Opening Beta0J Cummulative

1 2 1/2 63500 0.3783317 12 2 50800 0.3783317 1 13 1 1/2 38100 0.3783317 0.5375119 1 14 1 25400 0.3783317 0.3330165 0.4493449 1 15 3/4 19050 0.3783317 0.2772836 0.3330165 0.5375119 1 16 5/8 15875 0.3783317 0.2539467 0.2940596 0.4138432 0.6539022 1 17 1/2 12700 0.3783317 0.2311468 0.2615726 0.3330165 0.4493449 0.603527 1 18 3/8 9525 0.3783317 0.2068045 0.2311468 0.2772836 0.3330165 0.3948599 0.5375119 1 19 1/4 6350 0.3783317 0.177986 0.1978914 0.2311468 0.2615726 0.2871866 0.3330165 0.4493449 1 1

10 4 4756.8285 0.3783317 0.1601767 0.1779083 0.2067117 0.2310363 0.2492754 0.2771105 0.3327045 0.5364291 1 111 6 3363.5857 0.3783317 0.1412094 0.1567794 0.1817898 0.2021948 0.2166383 0.2366188 0.2689397 0.3493303 0.48902 1 112 8 2378.4142 0.3783317 0.1245071 0.1382201 0.1601767 0.1779083 0.1902344 0.2067117 0.2310363 0.2771105 0.3330165 0.48902 113 10 2000 0.3783317 0.1169144 0.1297884 0.1503894 0.1669946 0.1784979 0.1937724 0.2158885 0.2548429 0.2956537 0.390971 0.666098214 20 840.89642 0.3783317 0.0853602 0.0947575 0.1097852 0.1218729 0.130215 0.1412094 0.1567794 0.1817898 0.2022849 0.2311468 0.269098115 35 500 0.3783317 0.0706791 0.07846 0.0909027 0.1009103 0.1078159 0.1169144 0.1297884 0.1503894 0.1670672 0.1896847 0.215987216 50 297.30178 0.3783317 0.058523 0.0649657 0.0752683 0.0835545 0.0892722 0.0968052 0.1074628 0.1245071 0.13828 0.1568474 0.17798617 70 210.2241 0.3783317 0.051604 0.057285 0.0663696 0.0736762 0.0787178 0.0853602 0.0947575 0.1097852 0.1219256 0.13828 0.156847418 100 148.65089 0.3783317 0.0455031 0.0505124 0.058523 0.0649657 0.0694113 0.0752683 0.0835545 0.0968052 0.1075093 0.1219256 0.1382819 140 105.11205 0.3783317 0.0401234 0.0445405 0.051604 0.057285 0.061205 0.0663696 0.0736762 0.0853602 0.0947985 0.1075093 0.121925620 200 74.325445 0.3783317 0.0353797 0.0392747 0.0455031 0.0505124 0.053969 0.058523 0.0649657 0.0752683 0.0835907 0.0947985 0.1075093

Page 11: CERRO VERDE-HPGRSim_Open.xlsx

Bij

Page 11

i Mesh Opening Partial

1 2 1/2 63500 02 2 50800 0.4624881 03 1 1/2 38100 0.2044953 0.5506551 04 1 25400 0.0557329 0.1163284 0.4624881 05 3/4 19050 0.0233368 0.0389569 0.1236687 0.3460978 06 5/8 15875 0.0227999 0.032487 0.0808267 0.2045573 0.396473 07 1/2 12700 0.0243423 0.0304259 0.0557329 0.1163284 0.2086671 0.4624881 08 3/8 9525 0.0288185 0.0332554 0.0461368 0.0714439 0.1076733 0.2044953 0.5506551 09 1/4 6350 0.0178093 0.0199831 0.0244351 0.0305363 0.0379112 0.055906 0.1166403 0.4635709 0

10 4 4756.8285 0.0189673 0.0211289 0.0249219 0.0288415 0.0326371 0.0404917 0.0637648 0.1870989 0.51098 011 6 3363.5857 0.0167022 0.0185593 0.0216131 0.0242865 0.0264039 0.0299071 0.0379034 0.0722198 0.1560035 0.51098 012 8 2378.4142 0.0075928 0.0084317 0.0097873 0.0109137 0.0117365 0.0129394 0.0151478 0.0222676 0.0373628 0.098049 0.333901813 10 2000 0.0315542 0.0350309 0.0406042 0.0451217 0.0482829 0.052563 0.0591091 0.0730531 0.0933688 0.1598242 0.397000214 20 840.89642 0.0146811 0.0162974 0.0188825 0.0209626 0.0223991 0.024295 0.026991 0.0314004 0.0352178 0.0414621 0.053110915 35 500 0.0121561 0.0134943 0.0156344 0.0173558 0.0185437 0.0201091 0.0223256 0.0258823 0.0287872 0.0328373 0.038001216 50 297.30178 0.006919 0.0076807 0.0088987 0.0098784 0.0105544 0.0114451 0.0127053 0.0147219 0.0163543 0.0185675 0.021138517 70 210.2241 0.006101 0.0067726 0.0078466 0.0087105 0.0093065 0.0100919 0.0112029 0.01298 0.0144163 0.0163543 0.018567518 100 148.65089 0.0053797 0.0059719 0.006919 0.0076807 0.0082062 0.0088987 0.0098784 0.0114451 0.0127108 0.0144163 0.016354319 140 105.11205 0.0047436 0.0052659 0.006101 0.0067726 0.0072361 0.0078466 0.0087105 0.0100919 0.0112078 0.0127108 0.014416320 200 74.325445 0.0353797 0.0392747 0.0455031 0.0505124 0.053969 0.058523 0.0649657 0.0752683 0.0835907 0.0947985 0.1075093

1 1 1 1 1 1 1 1 1 1 1

Page 12: CERRO VERDE-HPGRSim_Open.xlsx

Bij

Page 12

11 1

0.2956537 1 10.2311468 0.390971 1 10.1896847 0.2690981 0.390971 1 10.1670672 0.2311468 0.2956537 0.48902 1 10.1472675 0.2022849 0.2484261 0.3330165 0.48902 1 10.1298446 0.177986 0.2159872 0.2690981 0.3330165 0.48902 1 10.1144905 0.1568474 0.1896847 0.2311468 0.2690981 0.3330165 0.48902 1 1

Page 13: CERRO VERDE-HPGRSim_Open.xlsx

Bij

Page 13

00.7043463 00.0645069 0.609029 00.0414621 0.121873 0.609029 00.0226175 0.0379513 0.0953173 0.51098 00.0197997 0.0288618 0.0472276 0.1560035 0.51098 00.0174229 0.024299 0.0324389 0.0639184 0.1560035 0.51098 00.0153541 0.0211385 0.0263025 0.0379513 0.0639184 0.1560035 0.51098 00.1144905 0.1568474 0.1896847 0.2311468 0.2690981 0.3330165 0.48902 1 0

1 1 1 1 1 1 1 1 0

Page 14: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 14

Ebar 5.53 N 5

Matrix J1 2 3 4 5 6 7 8 9 10

1 0.00970787721 0 0 0 0 0 0 0 0 02 0 0.0171764887 0 0 0 0 0 0 0 03 0 0 0.02795261653 0 0 0 0 0 0 04 0 0 0 0.03934073626 0 0 0 0 0 05 0 0 0 0 0.04779801872 0 0 0 0 06 0 0 0 0 0 0.05577706635 0 0 0 07 0 0 0 0 0 0 0.06690573631 0 0 08 0 0 0 0 0 0 0 0.08417288189 0 09 0 0 0 0 0 0 0 0 0.10417445924 0

10 0 0 0 0 0 0 0 0 0 0.1249347865811 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0

Page 15: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 15

Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 -2.5911666699 1 0 0 0 0 0 0 0 03 3.06706206914 -3.3015366305 1 0 0 0 0 0 0 04 -1.9283548389 4.2109082741 -3.5773722192 1 0 0 0 0 0 05 0.43767641151 -2.2727758103 4.79380677464 -4.3170335283 1 0 0 0 0 06 0.03406354809 0.4407904464 -3.8248186032 9.6773682128 -5.9417007334 1 0 0 0 07 -0.0019102525 -0.100419748 2.64075394902 -14.799469393 16.5027434122 -5.6768452049 1 0 0 08 -0.0028973609 0.0290212386 -1.6807103255 17.1618088197 -28.800203194 14.8039145669 -5.1259335084 1 0 09 -0.0014033927 -0.0074818905 0.77521879603 -12.337288459 27.908592346 -18.947325401 9.88042885455 -4.3357378392 1 0

10 -0.0017327362 0.000571321 -0.1665287001 5.10525195504 -16.503232308 15.0463141209 -11.500571461 9.2096560851 -5.2091022286 111 -0.0014481103 8.970569E-05 0.03513948793 -1.7570705605 7.60499678011 -8.8355712535 9.19763943109 -11.627919012 11.5656798148 -4.801372726712 -0.0005901337 4.938039E-05 -0.0022830361 0.26041295001 -1.5740368469 2.36164077284 -3.3447724848 6.46886054424 -10.371057661 7.4671260938613 -0.0030014005 0.0002656671 0.00142389435 0.07711720178 -0.4189176992 0.45033688121 -0.1866637615 -1.3342163329 6.32650315721 -9.065393865514 -0.0009459886 7.160424E-05 0.00093908173 -0.035082656 0.16788214319 -0.18832911 0.08707804478 0.75835880229 -4.49885206 8.1198603911815 -0.0009546449 8.102247E-05 0.00080583135 -0.0038901548 -0.0094644052 0.02475918954 -0.0174310446 -0.212889718 1.68965776109 -3.942579198216 -0.0005186461 4.29911E-05 0.00042471589 -0.0039219144 0.00902520063 -0.0073948585 0.00332447899 0.04170103941 -0.3992330345 1.1564366020417 -0.0004700967 3.932221E-05 0.00039312013 -0.0035065076 0.00689634098 -0.0041404333 0.00097476395 0.00461962043 -0.0045848638 -0.065163891718 -0.0004141347 3.461725E-05 0.00034566038 -0.0030621995 0.00591619366 -0.0034371131 0.00075236384 0.00351229226 -0.012478954 0.0184795491819 -0.0003631361 3.031046E-05 0.00030213043 -0.002670247 0.00514298743 -0.0029752685 0.00064667625 0.00302336299 -0.0109370011 0.0143720549820 -0.002630486 0.0002181783 0.00215944218 -0.01896352 0.03635978248 -0.0209468888 0.00452764658 0.02103115569 -0.0755949297 0.09823499095

Vector SiE1 2 3 4 5 6 7 8 9 10

1 1.37979676466 1.1335217342 0.94446444939 0.82236264185 0.75643359116 0.70595889927 0.64844497874 0.57878555972 0.51690263991 0.46619775695

Matrix bij1 2 3 4 5 6 7 8 9 10

1 0 0 0 0 0 0 0 0 0 02 0.46248814819 0 0 0 0 0 0 0 0 0

Page 16: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 16

3 0.20449534617 0.5506551239 0 0 0 0 0 0 0 04 0.05573294403 0.1163283704 0.46248814819 0 0 0 0 0 0 05 0.02333683082 0.0389568693 0.12366865302 0.34609782573 0 0 0 0 0 06 0.02279994512 0.0324869942 0.08082669315 0.20455729821 0.3964730246 0 0 0 0 07 0.0243423011 0.0304258564 0.05573294403 0.11632837042 0.20866710796 0.46248814819 0 0 0 08 0.02881851861 0.033255361 0.04613677594 0.07144386353 0.10767330112 0.20449534617 0.55065512394 0 0 09 0.01780928841 0.0199830934 0.02443506501 0.03053632385 0.03791117231 0.05590600845 0.11664034711 0.46357085541 0 0

10 0.01896730894 0.0211288949 0.0249219054 0.02884149369 0.0326371126 0.04049170444 0.06376484164 0.18709888603 0.51098001528 011 0.01670222579 0.0185593281 0.02161313772 0.02428649336 0.02640391105 0.02990707208 0.03790336906 0.07221976138 0.15600347908 0.5109800152812 0.00759276075 0.008431701 0.00978727506 0.0109137429 0.01173648344 0.01293935352 0.01514780856 0.02226760981 0.03736279342 0.0980489719813 0.03155419798 0.0350309281 0.04060417965 0.045121712 0.04828291959 0.05256299853 0.05910907338 0.07305307211 0.09336877549 0.1598242270614 0.0146811232 0.016297434 0.0188824756 0.02096256428 0.02239910113 0.02429498654 0.02699102907 0.03140041278 0.03521776406 0.0414620987815 0.01215608943 0.0134943491 0.01563442095 0.0173557629 0.01854367121 0.02010914405 0.02232561498 0.02588225966 0.02878721751 0.0328372502316 0.00691896141 0.0076806626 0.00889871155 0.00987837787 0.01055437964 0.01144505393 0.01270531316 0.01472191999 0.01635433593 0.0185674814917 0.00610095708 0.0067726043 0.00784664328 0.00871047522 0.00930653697 0.0100918578 0.01120292999 0.01297998482 0.01441632676 0.0163543359318 0.00537966273 0.0059719034 0.00691896141 0.00768066262 0.00820624943 0.00889871155 0.00987837787 0.01144505393 0.0127108125 0.0144163267619 0.00474364448 0.0052658666 0.00610095708 0.00677260434 0.00723605174 0.00784664328 0.00871047522 0.0100918578 0.01120777782 0.012710812520 0.03537974575 0.0392746591 0.04550305297 0.05051242907 0.05396897721 0.05852297146 0.06496569603 0.07526832629 0.08359070216 0.09479847998

1 1 1 1 1 1 1 1 1 1

Matrix Tij (inverse)1 2 3 4 5 6 7 8 9 10

1 1 -7.225172E-14 6.99298E-14 1.2339445E-14 3.5920663E-17 -1.137209E-14 -4.733629E-16 4.0186229E-15 1.671375E-14 1.1814421E-142 2.59116666988 1 1.6046539E-13 6.4235108E-14 5.42381E-14 -1.675211E-15 1.0699409E-14 1.2031277E-14 4.3568554E-14 3.0634699E-143 5.48776960717 3.3015366305 1 1.7422872E-13 1.789589E-13 2.9348121E-14 3.6776324E-14 2.7396337E-14 9.258107E-14 6.4906018E-144 10.648984207 7.5999171484 3.57737221918 1 4.1188021E-13 9.0113898E-14 8.5595558E-14 5.5093621E-14 1.799638E-13 1.2597548E-135 25.1161792598 19.254944286 10.6498290387 4.31703352829 1 2.5217004E-13 2.2296966E-13 1.2678726E-13 4.1261009E-13 2.8234912E-136 65.9921776871 53.046908232 32.483367414 15.9731530684 5.94170073341 1 6.3244198E-13 3.1951655E-13 1.0443616E-12 6.9287072E-137 103.511096777 87.236296743 58.9541092497 34.2336901774 17.2273719054 5.67684520494 1 4.7177078E-13 1.5433701E-12 9.699382E-138 103.394723497 91.503447366 68.3176205404 46.1840601994 29.1461360661 14.2952164909 5.12593350836 1 1.3997088E-12 7.9261809E-13

Page 17: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 17

9 102.122601991 93.732015482 75.3264598427 56.5019255844 40.8269274298 24.8379712942 12.3442750189 4.33573783921 1 6.1195541E-1310 138.281476724 130.16974618 110.112181476 88.4946723605 69.4729076256 47.9701539111 28.5950772457 13.3756455559 5.20910222865 111 143.620840965 138.04909712 121.90877552 103.626075677 86.7252314328 65.9001810219 44.9319918595 25.7036231782 13.4451615566 4.8013727267412 177.580632535 172.76022708 156.485554911 137.409406526 119.194367382 95.5212627585 70.1216704993 44.6993346911 26.9626279989 12.348286195813 89.3203428436 88.387079713 83.1185494677 76.5259033655 69.8492170328 60.3646362122 49.1861801694 36.4669466091 26.44205476 16.242927314214 35.0165824025 35.082445776 34.0120149278 32.5409526846 30.9312474417 28.4040124533 25.1727040704 21.0681040015 17.5228053155 13.22682849315 39.7337895157 39.984728982 39.2852012342 38.2340010277 37.0056388153 34.9354254648 32.1796768429 28.4856664332 25.1772528226 20.789322489216 48.894396582 49.289742104 48.7737052059 47.9149197536 46.8434909985 44.925214752 42.3094343876 38.6902284307 35.3995972359 30.76568982817 79.9717556461 80.666745804 80.1342842583 79.1393517624 77.8168296061 75.3252916032 71.878462601 67.020390955 62.5867208833 56.08020010718 106.531518565 107.47112574 107.056565209 106.134634935 104.810323484 102.176220062 98.4924503462 93.2305000571 88.4421271246 81.14952385119 128.87804651 129.99111107 129.73882569 128.980674153 127.77980948 125.247255738 121.677784222 116.533266658 111.894413293 104.58396013220 1 1 1 1 1 1 1 1 1 1

Page 18: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 18

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.15024097157 0 0 0 0 0 0 0 0 00 0.1709784111 0 0 0 0 0 0 0 00 0 0.21659890795 0 0 0 0 0 0 00 0 0 0.28452259547 0 0 0 0 0 00 0 0 0 0.3391326355 0 0 0 0 00 0 0 0 0 0.38589994914 0 0 0 00 0 0 0 0 0 0.42354729795 0 0 00 0 0 0 0 0 0 0.46097437392 0 00 0 0 0 0 0 0 0 0.4978233 00 0 0 0 0 0 0 0 0 1

Page 19: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 19

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-4.1270306259 1 0 0 0 0 0 0 0 010.1732870079 -4.5369272579 1 0 0 0 0 0 0 0-12.155445786 6.97476133713 -3.0234828487 1 0 0 0 0 0 07.8671203735 -5.6725207384 4.14442282439 -3.9231906337 1 0 0 0 0 0

-2.9769921771 2.62671607605 -2.9874356286 6.00746548261 -3.8961796438 1 0 0 0 00.39426991116 -0.5231307389 1.14178242495 -5.1823989175 7.03921213351 -4.803660966 1 0 0 0-0.0497615861 0.07456054509 -0.2953426273 2.96809358907 -7.6056023402 10.1149884676 -4.8036613274 1 0 0-0.0155048145 0.00386727788 0.04387872625 -1.136090744 5.32219941574 -12.297407336 10.1149898706 -4.8036614552 1 0-0.1099423034 0.05267349894 -0.0238228711 0.26612122353 -1.8596295653 5.98607983426 -6.3113285432 3.80366145519 -1 1

11 12 13 14 15 16 17 18 19 200.41658325074 0.38287914167 0.32343813969 0.25828704986 0.21819103744 0.1895755038 0.16940978134 0.15138914942 0.1352854 0

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 20: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 20

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.33390178338 0 0 0 0 0 0 0 0 00.39700015785 0.70434628778 0 0 0 0 0 0 0 00.05311088651 0.06450692655 0.60902898726 0 0 0 0 0 0 00.03800120628 0.04146209878 0.12187295398 0.60902898726 0 0 0 0 0 0

0.0211385293 0.02261751422 0.03795127309 0.09531730052 0.51098001528 0 0 0 0 00.01856748149 0.01979969599 0.02886184894 0.04722762777 0.15600347908 0.51098001528 0 0 0 00.01635433593 0.0174228913 0.02429897077 0.03243891221 0.06391844688 0.15600347908 0.51098001528 0 0 00.01441632676 0.01535405596 0.0211385293 0.02630248535 0.03795127309 0.06391844688 0.15600347908 0.51098001528 0 00.10750929247 0.11449052943 0.15684743666 0.18968468689 0.23114678568 0.26909805876 0.33301650564 0.48901998472 1 0

1 1 1 1 1 1 1 1 1 0

11 12 13 14 15 16 17 18 19 201.1616858E-14 9.6750744E-15 8.5838832E-15 -1.324722E-14 2.4714268E-15 -2.775611E-15 -2.281606E-15 -1.336142E-15 -3.74E-17 03.0101214E-14 2.506973E-14 2.2242272E-14 -3.432575E-14 6.4038787E-15 -7.19207E-15 -5.91202E-15 -3.462167E-15 -9.68E-17 06.3750639E-14 5.3094579E-14 4.7106374E-14 -7.269769E-14 1.3562621E-14 -1.523191E-14 -1.252093E-14 -7.332441E-15 -2.05E-16 01.2370773E-13 1.0302971E-13 9.1409637E-14 -1.410694E-13 2.6318185E-14 -2.955743E-14 -2.429678E-14 -1.422856E-14 -3.98E-16 02.8554244E-13 2.3730548E-13 2.1331434E-13 -3.159176E-13 6.1880107E-14 -6.974725E-14 -5.730521E-14 -3.355879E-14 -9.38E-16 07.2961304E-13 6.0463873E-13 5.5292201E-13 -7.74381E-13 1.6194992E-13 -1.833737E-13 -1.505681E-13 -8.817494E-14 -2.46E-15 01.0952005E-12 9.033604E-13 8.4924859E-13 -1.081782E-12 2.5250053E-13 -2.879011E-13 -2.361715E-13 -1.383056E-13 -3.87E-15 01.0197343E-12 8.3435208E-13 8.2107475E-13 -8.799821E-13 2.4991628E-13 -2.879894E-13 -2.35906E-13 -1.381501E-13 -3.86E-15 0

Page 21: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 21

9.319838E-13 7.5707785E-13 7.8351701E-13 -6.671364E-13 2.4452783E-13 -2.848617E-13 -2.330035E-13 -1.364503E-13 -3.81E-15 01.1722752E-12 9.5033579E-13 1.0285636E-12 -6.659532E-13 3.2839847E-13 -3.862133E-13 -3.155038E-13 -1.847637E-13 -5.16E-15 0

1 9.1658919E-13 1.0350139E-12 -4.49003E-13 3.3832172E-13 -4.016287E-13 -3.276861E-13 -1.918979E-13 -5.36E-15 04.12703062592 1 1.2514316E-12 -3.53251E-13 4.1869367E-13 -4.789097E-13 -4.000364E-13 -2.347704E-13 -6.63E-15 08.55075073283 4.53692725785 1 0 2.1931668E-13 -1.682163E-13 -1.805077E-13 -1.079906E-13 -3.32E-15 09.22344032265 6.74256041261 3.02348284866 1 9.4543153E-14 0 -4.561412E-14 -2.989649E-14 -1.29E-15 016.2909346213 13.3219257162 7.7172767686 3.92319063369 1 3.6284728E-14 -2.356314E-14 -1.968501E-14 -1.45E-15 025.7441803566 22.3259789067 14.8918634294 9.27799000315 3.89617964381 1 0 -9.301934E-15 -1.77E-15 048.7921265344 43.7561569747 31.7390266164 22.1345462276 11.6767139379 4.80366096597 1 0 -2.86E-15 072.7725494086 66.9368464648 51.8484086958 39.3502361044 24.2867693499 12.9601719446 4.8036613274 1 -3.75E-15 0

96.028908148 90.0557948537 73.4717664631 59.4858117174 41.1462833119 25.9647037464 12.9601728917 4.80366145519 1 01 1 1 1 1 1 1 1 1 1

Page 22: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Overall)

Page 22

SiE1 1.379796764662 1.133521734193 0.944464449394 0.822362641855 0.756433591166 0.705958899277 0.648444978748 0.578785559729 0.51690263991

10 0.4661977569511 0.4165832507412 0.3828791416713 0.3234381396914 0.2582870498615 0.2181910374416 0.189575503817 0.1694097813418 0.1513891494219 0.1352854271720 0

Page 23: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 23

Matrix J1 2 3 4 5 6 7 8 9 10

1 0.00970787721 0 0 0 0 0 0 0 0 02 0 0.01717648871 0 0 0 0 0 0 0 03 0 0 0.02795261653 0 0 0 0 0 0 04 0 0 0 0.03934073626 0 0 0 0 0 05 0 0 0 0 0.04779801872 0 0 0 0 06 0 0 0 0 0 0.05577706635 0 0 0 07 0 0 0 0 0 0 0.06690573631 0 0 08 0 0 0 0 0 0 0 0.08417288189 0 09 0 0 0 0 0 0 0 0 0.10417445924 0

10 0 0 0 0 0 0 0 0 0 0.1249347865811 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0

Page 24: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 24

Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 -2.5911666699 1 0 0 0 0 0 0 0 03 3.06706206914 -3.3015366305 1 0 0 0 0 0 0 04 -1.9283548389 4.2109082741 -3.5773722192 1 0 0 0 0 0 05 0.43767641151 -2.2727758103 4.79380677464 -4.3170335283 1 0 0 0 0 06 0.03406354809 0.44079044641 -3.8248186032 9.6773682128 -5.9417007334 1 0 0 0 07 -0.0019102525 -0.100419748 2.64075394902 -14.799469393 16.5027434122 -5.6768452049 1 0 0 08 -0.0028973609 0.02902123863 -1.6807103255 17.1618088197 -28.800203194 14.8039145669 -5.1259335084 1 0 09 -0.0014033927 -0.0074818905 0.77521879603 -12.337288459 27.908592346 -18.947325401 9.88042885455 -4.3357378392 1 0

10 -0.0017327362 0.000571321 -0.1665287001 5.10525195504 -16.503232308 15.0463141209 -11.500571461 9.2096560851 -5.2091022286 111 -0.0014481103 8.9705691E-05 0.03513948793 -1.7570705605 7.60499678011 -8.8355712535 9.19763943109 -11.627919012 11.5656798148 -4.801372726712 -0.0005901337 4.9380391E-05 -0.0022830361 0.26041295001 -1.5740368469 2.36164077284 -3.3447724848 6.46886054424 -10.371057661 7.4671260938613 -0.0030014005 0.00026566707 0.00142389435 0.07711720178 -0.4189176992 0.45033688121 -0.1866637615 -1.3342163329 6.32650315721 -9.065393865514 -0.0009459886 7.1604238E-05 0.00093908173 -0.035082656 0.16788214319 -0.18832911 0.08707804478 0.75835880229 -4.49885206 8.1198603911815 -0.0009546449 8.1022472E-05 0.00080583135 -0.0038901548 -0.0094644052 0.02475918954 -0.0174310446 -0.212889718 1.68965776109 -3.942579198216 -0.0005186461 4.2991104E-05 0.00042471589 -0.0039219144 0.00902520063 -0.0073948585 0.00332447899 0.04170103941 -0.3992330345 1.1564366020417 -0.0004700967 3.9322211E-05 0.00039312013 -0.0035065076 0.00689634098 -0.0041404333 0.00097476395 0.00461962043 -0.0045848638 -0.065163891718 -0.0004141347 3.4617253E-05 0.00034566038 -0.0030621995 0.00591619366 -0.0034371131 0.00075236384 0.00351229226 -0.012478954 0.0184795491819 -0.0003631361 3.031046E-05 0.00030213043 -0.002670247 0.00514298743 -0.0029752685 0.00064667625 0.00302336299 -0.0109370011 0.0143720549820 -0.002630486 0.00021817831 0.00215944218 -0.01896352 0.03635978248 -0.0209468888 0.00452764658 0.02103115569 -0.0755949297 0.09823499095

Matrix T (inverse)1 2 3 4 5 6 7 8 9 10

1 1 -4.749211E-14 4.8469467E-14 -4.983355E-14 -2.739314E-14 1.7549932E-14 1.8744752E-14 6.3134696E-15 -1.644793E-15 9.4634212E-152 2.59116666988 1 -3.452658E-14 -1.362344E-13 -9.24369E-14 2.2676407E-14 2.8341157E-14 1.3610289E-14 -4.341523E-15 2.4408798E-14

Page 25: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 25

3 5.48776960717 3.30153663048 1 -2.969403E-13 -2.211674E-13 2.1040258E-14 3.6078051E-14 2.5571065E-14 -9.289015E-15 5.156164E-144 10.648984207 7.59991714838 3.57737221918 1 -4.547784E-13 1.3623061E-14 4.5869137E-14 4.6340147E-14 -1.812025E-14 9.9920805E-145 25.1161792598 19.2549442862 10.6498290387 4.31703352829 1 -4.4674354E-14 5.0667255E-14 9.5341608E-14 -4.481056E-14 2.2257158E-136 65.9921776871 53.0469082325 32.483367414 15.9731530684 5.9417007334 1 -1.798189E-14 2.0963097E-13 -1.244536E-13 5.4161569E-137 103.511096777 87.2362967425 58.9541092497 34.2336901774 17.2273719054 5.67684520494 1 2.3431631E-13 -2.09211E-13 7.4646481E-138 103.394723497 91.503447366 68.3176205404 46.1840601994 29.1461360661 14.2952164909 5.12593350836 1 -2.250688E-13 5.8956073E-139 102.122601991 93.7320154819 75.3264598427 56.5019255844 40.8269274298 24.8379712942 12.3442750189 4.33573783921 1 4.2517657E-13

10 138.281476724 130.169746179 110.112181476 88.4946723605 69.4729076256 47.9701539111 28.5950772457 13.3756455559 5.20910222865 111 143.620840965 138.049097121 121.90877552 103.626075677 86.7252314328 65.9001810219 44.9319918595 25.7036231782 13.4451615566 4.8013727267412 177.580632534 172.760227081 156.485554911 137.409406526 119.194367382 95.5212627585 70.1216704993 44.6993346911 26.9626279989 12.348286195813 89.3203428436 88.3870797126 83.1185494677 76.5259033655 69.8492170328 60.3646362122 49.1861801694 36.4669466091 26.44205476 16.242927314214 35.0165824025 35.082445776 34.0120149278 32.5409526846 30.9312474417 28.4040124533 25.1727040704 21.0681040015 17.5228053155 13.22682849315 39.7337895157 39.9847289817 39.2852012341 38.2340010277 37.0056388153 34.9354254648 32.1796768429 28.4856664332 25.1772528226 20.789322489216 48.8943965819 49.2897421039 48.7737052059 47.9149197536 46.8434909985 44.925214752 42.3094343876 38.6902284307 35.3995972359 30.76568982817 79.971755646 80.6667458044 80.1342842582 79.1393517623 77.8168296061 75.3252916032 71.878462601 67.020390955 62.5867208833 56.08020010718 106.531518565 107.471125737 107.056565209 106.134634935 104.810323484 102.176220062 98.4924503462 93.2305000571 88.4421271246 81.14952385119 128.87804651 129.99111107 129.73882569 128.980674153 127.77980948 125.247255738 121.677784222 116.533266658 111.894413293 104.58396013220 1 1 1 1 1 1 1 1 1 1

Matrix T*J1 2 3 4 5 6 7 8 9 10

1 0.00970787721 0 0 0 0 0 0 0 0 02 -0.0251547279 0.01717648871 0 0 0 0 0 0 0 03 0.02977466196 -0.0567088067 0.02795261653 0 0 0 0 0 0 04 -0.018720232 0.07232861842 -0.0999969138 0.03934073626 0 0 0 0 0 05 0.00424890886 -0.039038308 0.13399944247 -0.1698352775 0.04779801872 0 0 0 0 06 0.00033068474 0.00757123213 -0.1069136877 0.38071479054 -0.2840015229 0.05577706635 0 0 0 07 -1.85445E-05 -0.0017248587 0.07381598248 -0.5822220221 0.78879843851 -0.3166377717 0.06690573631 0 0 08 -2.812722E-05 0.00049848298 -0.0469802512 0.6751581945 -1.3765926514 0.82571892507 -0.3429543556 0.08417288189 0 0

Page 26: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 26

9 -1.362396E-05 -0.0001285126 0.02166939373 -0.4853580114 1.33397541934 -1.0568262261 0.66105736752 -0.364951549 0.10417445924 010 -1.682119E-05 9.8132887E-06 -0.0046549129 0.2008443707 -0.7888218067 0.83923926108 -0.7694542015 0.77520329389 -0.5426554078 0.1249347865811 -1.405808E-05 1.5408288E-06 0.00098224063 -0.0691244495 0.36350377845 -0.4928222441 0.61537483841 -0.9787554536 1.2048484405 -0.599858476912 -5.728945E-06 8.4818173E-07 -6.381683E-05 0.01024483718 -0.0752358427 0.13172539409 -0.2237844659 0.54450263455 -1.0803993237 0.9329038049113 -2.913723E-05 4.5632273E-06 3.9801573E-05 0.0030338475 -0.020023436 0.0251184701 -0.0124888764 -0.1123048338 0.65906004531 -1.132583047914 -9.183541E-06 1.2299094E-06 2.6249792E-05 -0.0013801775 0.00802443382 -0.0105044453 0.0058260207 0.0638332459 -0.4686654806 1.0144530250415 -9.267575E-06 1.3916816E-06 2.2525095E-05 -0.0001530416 -0.0004523798 0.00138099496 -0.0011662369 -0.0179195411 0.17601918357 -0.492565290716 -5.034953E-06 7.3843621E-07 1.187192E-05 -0.000154291 0.00043138671 -0.0004124635 0.00022242671 0.00351009667 -0.0415898855 0.1444791600717 -4.563641E-06 6.7541751E-07 1.0988736E-05 -0.0001379486 0.00032963144 -0.0002309412 6.52173E-05 0.00038884676 -0.0004776257 -0.008141236918 -4.020369E-06 5.9460286E-07 9.662112E-06 -0.0001204692 0.00028278234 -0.0001917121 5.0337457E-05 0.00029563976 -0.0012999883 0.0023087385319 -3.525281E-06 5.2062727E-07 8.445336E-06 -0.0001050495 0.00024582461 -0.0001659517 4.326635E-05 0.00025448518 -0.0011393562 0.0017955696220 -2.553644E-05 3.7475373E-06 6.0362059E-05 -0.0007460388 0.00173792556 -0.001168356 0.00030292553 0.00177025298 -0.0078750609 0.01227296763

Matrix [T*J*T(inv.)]1 2 3 4 5 6 7 8 9 10

1 0.00970787721 -4.610476E-16 4.7053563E-16 -4.837779E-16 -2.659292E-16 1.7037258E-16 1.8197175E-16 6.1290388E-17 -1.596744E-17 9.1869731E-172 0.01935241719 0.01717648871 -1.812282E-15 -1.086479E-15 -8.986745E-16 -5.1962709E-17 1.5282434E-17 7.4963366E-17 -3.319781E-17 1.8120766E-163 0.03623021168 0.03557778072 0.02795261653 -2.058344E-15 -1.755842E-15 -1.7527842E-16 -4.059862E-17 1.3093634E-16 -6.242285E-17 3.3885912E-164 0.03887412803 0.04117148066 0.04073954316 0.03934073626 -1.948289E-15 -2.5640523E-16 -1.041975E-16 1.3225175E-16 -6.721675E-17 3.6325031E-165 0.03038263291 0.03297990959 0.03547616679 0.03651037193 0.04779801872 -2.4403196E-15 -1.560711E-15 -3.9104068E-16 -1.46623E-16 -3.35035E-166 0.03527403009 0.03836006135 0.04230410169 0.04560631277 0.04740911318 0.05577706635 -1.565957E-15 -3.7094408E-16 -1.543315E-16 -2.843157E-167 0.04199708238 0.04536601722 0.05046662456 0.05577393767 0.06004156031 0.06317573666 0.06690573631 -6.1096169E-16 -6.534755E-17 -4.013914E-168 0.05288825762 0.05619997101 0.06188920344 0.06854863411 0.07469412893 0.08208970508 0.08851024014 0.08417288189 -7.24383E-17 -4.945331E-169 0.04337736669 0.04534550183 0.04921873402 0.05415786657 0.05910695965 0.06631494701 0.07629816822 0.08672159578 0.10417445924 -2.844706E-16

10 0.04795504452 0.04935327063 0.0524285636 0.05653774723 0.06082364826 0.06754727652 0.0780186168 0.09347513148 0.1081426674 0.1249347865811 0.04733940747 0.04805434558 0.04999227228 0.05271901714 0.05568338367 0.06063909496 0.06894659537 0.08339446856 0.10013844671 0.1215044264212 0.02708408188 0.02725040755 0.02797471127 0.02905579552 0.03028439825 0.03245677879 0.03626091591 0.04347807511 0.05255905927 0.0671073640213 0.08335431819 0.08326886136 0.08412231735 0.08555102063 0.08729785498 0.09058511184 0.09634775627 0.10742369383 0.12146441761 0.1454783684314 0.06809136456 0.06752898745 0.06758228551 0.06793102836 0.06855128283 0.07002674521 0.07264302812 0.07787228254 0.08457156269 0.09782494395

Page 27: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 27

15 0.05972157147 0.05906120632 0.05887096366 0.05886114244 0.05908038322 0.05984934027 0.06116355724 0.06369059188 0.06668695644 0.073125435516 0.0389804636 0.03848102214 0.03828077159 0.0381766081 0.03822316833 0.03857581066 0.03914516497 0.04015264028 0.04116043572 0.0435311060217 0.03361060276 0.03316699874 0.03297241576 0.03285171058 0.03285849646 0.03310457364 0.03348119102 0.0340871061 0.03456523545 0.0358036710218 0.02979127526 0.02939081384 0.02920788838 0.0290864808 0.02907724361 0.02926937181 0.02955126709 0.02996635656 0.03020523807 0.0309138524919 0.0267757855 0.02641032395 0.02624042122 0.02612430367 0.02610918271 0.02627137827 0.02650343738 0.02682517594 0.0269594784 0.0274256752720 0.22921208101 0.22585655137 0.2242803992 0.22316728623 0.22296117689 0.22431706291 0.22622432516 0.22874000004 0.22937204299 0.23235037031

Matrix [T*J*T(inv.)] (inverse)1 2 3 4 5 6 7 8 9 10

1 103.00913149 7.2252874E-12 -3.568952E-12 8.072027E-13 9.1908837E-13 3.6088914E-15 -1.838923E-13 -8.3957119E-14 9.5524937E-14 -7.805533E-142 -116.05839356 58.2191166636 5.5546866E-12 -3.251182E-13 0 6.6325074E-14 2.6245914E-13 2.5089013E-14 0 5.2648549E-153 14.2046608732 -74.100646879 35.7748262701 -7.097019E-15 1.2299805E-14 0 -1.373786E-14 9.6833195E-15 0 04 4.96214265859 15.8070063038 -37.046842982 25.4189447146 0 -4.3586393E-15 1.769537E-14 -1.0129267E-14 0 05 0.26800494914 2.7537966739 1.74568559048 -19.416183988 20.9213692706 3.2664207E-13 3.0686381E-13 1.0006558E-13 -8.666059E-14 1.0163164E-136 -0.3848612526 0.89674997243 1.67428335508 -4.2806173628 -17.782641299 17.9285155244 0 0 0 07 -0.6931089441 -0.0773326409 0.75069518792 0.27642620953 -1.983689267 -16.928999485 14.9464015378 3.7023918E-14 -1.46696E-14 08 -0.8534386229 -0.4977019108 -0.1050590069 0.41306743229 0.86304683546 0.31653018602 -15.716577117 11.8803108264 -4.538761E-15 09 -0.3536150751 -0.2119848096 -0.1611877087 -0.0196591321 0.18395530763 0.72256761643 2.13664261518 -9.889943473 9.59928188976 -2.180338E-14

10 -0.4437327553 -0.2768973282 -0.2534641072 -0.2007016126 -0.1372488654 0.01622156404 0.57589490216 -0.328081154 -8.3090704924 8.0041758373811 -0.36144547 -0.2167252176 -0.2008962843 -0.176260925 -0.157072484 -0.1377569311 -0.0250381453 0.26274245865 0.32169431357 -6.47321954812 -0.1339848556 -0.0738293291 -0.0675655803 -0.0586100889 -0.0528268957 -0.0531015791 -0.043558352 0.01639491746 0.14936792703 0.0986393022413 -0.7929214528 -0.4949774262 -0.4558947102 -0.4043548826 -0.3713963593 -0.3760333534 -0.3763885192 -0.3586266879 -0.2110779991 -0.117069980614 -0.1763728055 -0.075901671 -0.0660494363 -0.0511531067 -0.0410225444 -0.041754634 -0.0439806755 -0.0590196347 -0.0530657366 0.0121672035115 -0.2175808066 -0.1218236572 -0.1105619404 -0.0948615285 -0.0844535702 -0.0852443418 -0.0868645753 -0.1002937761 -0.096900591 -0.103484011416 -0.1146833056 -0.0620354707 -0.0560378353 -0.0475494368 -0.0418807059 -0.0422230195 -0.042888462 -0.0496974204 -0.0471603889 -0.050259138617 -0.1065325965 -0.0589496153 -0.0534100867 -0.045646668 -0.0404838285 -0.0408282366 -0.0414852285 -0.0476562942 -0.0451756248 -0.047567498318 -0.093742371 -0.051802602 -0.0469249308 -0.0400857795 -0.0355365526 -0.0358379716 -0.0364116006 -0.0418306947 -0.039606335 -0.041583478319 -0.0817801336 -0.0449919013 -0.0407321748 -0.0347476091 -0.0307634298 -0.0310220442 -0.0315142258 -0.0362499134 -0.0342936751 -0.035984848120 -0.5777459628 -0.3110691543 -0.2808636199 -0.2380062358 -0.2093556118 -0.2110332943 -0.2142321538 -0.2480491542 -0.2339932875 -0.2458138398

Page 28: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 28

Matrix { [T*J*T(inv.)] (inverse) - C} (Open Circuit: no C matrix)1 2 3 4 5 6 7 8 9 10

1 103.00913149 7.2252874E-12 -3.568952E-12 8.072027E-13 9.1908837E-13 3.6088914E-15 -1.838923E-13 -8.3957119E-14 9.5524937E-14 -7.805533E-142 -116.05839356 58.2191166636 5.5546866E-12 -3.251182E-13 0 6.6325074E-14 2.6245914E-13 2.5089013E-14 0 5.2648549E-153 14.2046608732 -74.100646879 35.7748262701 -7.097019E-15 1.2299805E-14 0 -1.373786E-14 9.6833195E-15 0 04 4.96214265859 15.8070063038 -37.046842982 25.4189447146 0 -4.3586393E-15 1.769537E-14 -1.0129267E-14 0 05 0.26800494914 2.7537966739 1.74568559048 -19.416183988 20.9213692706 3.2664207E-13 3.0686381E-13 1.0006558E-13 -8.666059E-14 1.0163164E-136 -0.3848612526 0.89674997243 1.67428335508 -4.2806173628 -17.782641299 17.9285155244 0 0 0 07 -0.6931089441 -0.0773326409 0.75069518792 0.27642620953 -1.983689267 -16.928999485 14.9464015378 3.7023918E-14 -1.46696E-14 08 -0.8534386229 -0.4977019108 -0.1050590069 0.41306743229 0.86304683546 0.31653018602 -15.716577117 11.8803108264 -4.538761E-15 09 -0.3536150751 -0.2119848096 -0.1611877087 -0.0196591321 0.18395530763 0.72256761643 2.13664261518 -9.889943473 9.59928188976 -2.180338E-14

10 -0.4437327553 -0.2768973282 -0.2534641072 -0.2007016126 -0.1372488654 0.01622156404 0.57589490216 -0.328081154 -8.3090704924 8.0041758373811 -0.36144547 -0.2167252176 -0.2008962843 -0.176260925 -0.157072484 -0.1377569311 -0.0250381453 0.26274245865 0.32169431357 -6.47321954812 -0.1339848556 -0.0738293291 -0.0675655803 -0.0586100889 -0.0528268957 -0.0531015791 -0.043558352 0.01639491746 0.14936792703 0.0986393022413 -0.7929214528 -0.4949774262 -0.4558947102 -0.4043548826 -0.3713963593 -0.3760333534 -0.3763885192 -0.3586266879 -0.2110779991 -0.117069980614 -0.1763728055 -0.075901671 -0.0660494363 -0.0511531067 -0.0410225444 -0.041754634 -0.0439806755 -0.0590196347 -0.0530657366 0.0121672035115 -0.2175808066 -0.1218236572 -0.1105619404 -0.0948615285 -0.0844535702 -0.0852443418 -0.0868645753 -0.1002937761 -0.096900591 -0.103484011416 -0.1146833056 -0.0620354707 -0.0560378353 -0.0475494368 -0.0418807059 -0.0422230195 -0.042888462 -0.0496974204 -0.0471603889 -0.050259138617 -0.1065325965 -0.0589496153 -0.0534100867 -0.045646668 -0.0404838285 -0.0408282366 -0.0414852285 -0.0476562942 -0.0451756248 -0.047567498318 -0.093742371 -0.051802602 -0.0469249308 -0.0400857795 -0.0355365526 -0.0358379716 -0.0364116006 -0.0418306947 -0.039606335 -0.041583478319 -0.0817801336 -0.0449919013 -0.0407321748 -0.0347476091 -0.0307634298 -0.0310220442 -0.0315142258 -0.0362499134 -0.0342936751 -0.035984848120 -0.5777459628 -0.3110691543 -0.2808636199 -0.2380062358 -0.2093556118 -0.2110332943 -0.2142321538 -0.2480491542 -0.2339932875 -0.2458138398

Page 29: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 29

Matrix { [T*J*T(inv.)] (inverse) - C} (inverse)1 2 3 4 5 6 7 8 9 10

1 0.00970787721 -4.690532E-16 4.6550095E-16 -4.876191E-16 -2.690764E-16 1.6675926E-16 1.7867368E-16 5.6787046E-17 -1.788848E-17 9.0750413E-172 0.01935241719 0.01717648871 -1.818605E-15 -1.090408E-15 -8.987712E-16 -5.7400943E-17 9.3640641E-18 6.847692E-17 -4.543977E-17 1.6961067E-163 0.03623021168 0.03557778072 0.02795261653 -2.077209E-15 -1.778849E-15 -1.9375444E-16 -6.089913E-17 8.4621284E-17 -9.992365E-17 3.0035332E-164 0.03887412803 0.04117148066 0.04073954316 0.03934073626 -1.98505E-15 -2.8094927E-16 -1.407659E-16 1.0320493E-16 -1.138845E-16 3.1456021E-165 0.03038263291 0.03297990959 0.03547616679 0.03651037193 0.04779801872 -2.4687333E-15 -1.581195E-15 -4.0122986E-16 -1.668938E-16 -3.490177E-166 0.03527403009 0.03836006135 0.04230410169 0.04560631277 0.04740911318 0.05577706635 -1.592885E-15 -3.834326E-16 -1.815066E-16 -3.05658E-167 0.04199708238 0.04536601722 0.05046662456 0.05577393767 0.06004156031 0.06317573666 0.06690573631 -6.0882806E-16 -1.194276E-16 -4.083415E-168 0.05288825762 0.05619997101 0.06188920344 0.06854863411 0.07469412893 0.08208970508 0.08851024014 0.08417288189 -1.233913E-16 -5.295048E-169 0.04337736669 0.04534550183 0.04921873402 0.05415786657 0.05910695965 0.06631494701 0.07629816822 0.08672159578 0.10417445924 -2.825575E-16

10 0.04795504452 0.04935327063 0.0524285636 0.05653774723 0.06082364826 0.06754727652 0.0780186168 0.09347513148 0.1081426674 0.1249347865811 0.04733940747 0.04805434558 0.04999227228 0.05271901714 0.05568338367 0.06063909496 0.06894659537 0.08339446856 0.10013844671 0.1215044264212 0.02708408188 0.02725040755 0.02797471127 0.02905579552 0.03028439825 0.03245677879 0.03626091591 0.04347807511 0.05255905927 0.0671073640213 0.08335431819 0.08326886136 0.08412231735 0.08555102063 0.08729785498 0.09058511184 0.09634775627 0.10742369383 0.12146441761 0.1454783684314 0.06809136456 0.06752898745 0.06758228551 0.06793102836 0.06855128283 0.07002674521 0.07264302812 0.07787228254 0.08457156269 0.0978249439515 0.05972157147 0.05906120632 0.05887096366 0.05886114244 0.05908038322 0.05984934027 0.06116355724 0.06369059188 0.06668695644 0.073125435516 0.0389804636 0.03848102214 0.03828077159 0.0381766081 0.03822316833 0.03857581066 0.03914516497 0.04015264028 0.04116043572 0.0435311060217 0.03361060276 0.03316699874 0.03297241576 0.03285171058 0.03285849646 0.03310457364 0.03348119102 0.0340871061 0.03456523545 0.0358036710218 0.02979127526 0.02939081384 0.02920788838 0.0290864808 0.02907724361 0.02926937181 0.02955126709 0.02996635656 0.03020523807 0.0309138524919 0.0267757855 0.02641032395 0.02624042122 0.02612430367 0.02610918271 0.02627137827 0.02650343738 0.02682517594 0.0269594784 0.0274256752720 0.22921208101 0.22585655137 0.2242803992 0.22316728623 0.22296117689 0.22431706291 0.22622432516 0.22874000004 0.22937204299 0.23235037031

Circuit Balance1 2 3 4 5 6 7

Fresh Mill Mill Sump Cyclone Cyclone CycloneFeed Feed Discharge Water Feed U'flow O'flow

1 54.516 54.516 0.529 0.000 0.529 0.000 0.5292 338.707 338.707 6.873 0.000 6.873 0.000 6.873

Page 30: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 30

3 367.361 367.361 24.294 0.000 24.294 0.000 24.2944 339.442 339.442 44.384 0.000 44.384 0.000 44.3845 131.368 131.368 44.532 0.000 44.532 0.000 44.5326 163.549 163.549 61.288 0.000 61.288 0.000 61.2887 54.516 54.516 76.994 0.000 76.994 0.000 76.9948 6.906 6.906 96.567 0.000 96.567 0.000 96.5679 0.588 0.588 77.618 0.000 77.618 0.000 77.618

10 0.147 0.147 81.800 0.000 81.800 0.000 81.80011 0.294 0.294 76.805 0.000 76.805 0.000 76.80512 0.147 0.147 42.501 0.000 42.501 0.000 42.50113 0.441 0.441 125.240 0.000 125.240 0.000 125.24014 0.441 0.441 99.763 0.000 99.763 0.000 99.76315 0.294 0.294 86.535 0.000 86.535 0.000 86.53516 0.735 0.735 56.389 0.000 56.389 0.000 56.38917 0.294 0.294 48.505 0.000 48.505 0.000 48.50518 0.735 0.735 43.168 0.000 43.168 0.000 43.16819 0.441 0.441 38.767 0.000 38.767 0.000 38.76720 8.376 8.376 336.743 0.000 336.743 0.000 336.743

Total 1469.297 1469.297 1469.297 0.000 1469.297 0.000 1469.297CL = 0

Page 31: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 31

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.15024097157 0 0 0 0 0 0 0 0 00 0.1709784111 0 0 0 0 0 0 0 00 0 0.21659890795 0 0 0 0 0 0 00 0 0 0.28452259547 0 0 0 0 0 00 0 0 0 0.3391326355 0 0 0 0 00 0 0 0 0 0.38589994914 0 0 0 00 0 0 0 0 0 0.42354729795 0 0 00 0 0 0 0 0 0 0.46097437392 0 00 0 0 0 0 0 0 0 0.4978232539 00 0 0 0 0 0 0 0 0 1

Page 32: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 32

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-4.1270306259 1 0 0 0 0 0 0 0 010.1732870079 -4.5369272579 1 0 0 0 0 0 0 0-12.155445786 6.97476133713 -3.0234828487 1 0 0 0 0 0 07.8671203735 -5.6725207384 4.14442282439 -3.9231906337 1 0 0 0 0 0

-2.9769921771 2.62671607605 -2.9874356286 6.00746548261 -3.8961796438 1 0 0 0 00.39426991116 -0.5231307389 1.14178242495 -5.1823989175 7.03921213351 -4.803660966 1 0 0 0-0.0497615861 0.07456054509 -0.2953426273 2.96809358907 -7.6056023402 10.1149884676 -4.8036613274 1 0 0-0.0155048145 0.00386727788 0.04387872625 -1.136090744 5.32219941574 -12.297407336 10.1149898706 -4.8036614552 1 0-0.1099423034 0.05267349894 -0.0238228711 0.26612122353 -1.8596295653 5.98607983426 -6.3113285432 3.80366145519 -1 1

11 12 13 14 15 16 17 18 19 20-1.895816E-17 3.0219872E-15 2.113733E-15 2.3509062E-15 1.1586776E-15 9.2820793E-16 4.4757338E-16 1.3755028E-16 -9.111814E-18 0-4.912375E-17 7.8304726E-15 5.4770344E-15 6.0915898E-15 3.0023267E-15 2.4051414E-15 1.1597372E-15 3.5641571E-16 -2.361023E-17 0

Page 33: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 33

-1.04038E-16 1.658397E-14 1.159968E-14 1.2901232E-14 6.3585556E-15 5.0937912E-15 2.4561796E-15 7.5484427E-16 -5.000354E-17 0-2.018851E-16 3.2181094E-14 2.2509109E-14 2.5034763E-14 1.2338739E-14 9.8844716E-15 4.7662019E-15 1.4647708E-15 -9.703156E-17 0-6.271792E-16 6.8675039E-14 5.3428941E-14 5.8045373E-14 2.8826198E-14 2.3368679E-14 1.1241333E-14 3.4547376E-15 -2.28854E-16 0-2.148422E-15 1.5649437E-13 1.4151028E-13 1.4919729E-13 7.4827574E-14 6.158507E-14 2.9536342E-14 9.0772428E-15 -6.013085E-16 0-4.707247E-15 1.8832881E-13 2.2465289E-13 2.2611047E-13 1.1519233E-13 9.7038383E-14 4.6328812E-14 1.4237981E-14 -9.431739E-16 0-7.095642E-15 1.0185531E-13 2.2845982E-13 2.1391326E-13 1.1177558E-13 9.7593546E-14 4.6276726E-14 1.4221974E-14 -9.421135E-16 0-1.222552E-14 1.3583916E-14 2.2973798E-13 1.9919054E-13 1.0713634E-13 9.7062694E-14 4.5707358E-14 1.4046993E-14 -9.305222E-16 0-2.948292E-14 -8.423692E-14 3.1588845E-13 2.5534316E-13 1.4136008E-13 1.3221956E-13 6.1891108E-14 1.9020656E-14 -1.259995E-15 0

1 -1.929661E-13 3.3300061E-13 2.5025297E-13 1.4321706E-13 1.3813555E-13 6.4280866E-14 1.9755088E-14 -1.308646E-15 04.12703062591 1 4.174784E-13 3.0508037E-13 1.8063969E-13 1.7261126E-13 7.9293648E-14 2.4464283E-14 -1.591513E-15 08.55075073283 4.53692725785 1 1.7563576E-13 1.1430264E-13 9.1999686E-14 3.9130291E-14 1.2458518E-14 -6.933313E-16 09.22344032265 6.74256041261 3.02348284866 1 7.6080306E-14 4.3983927E-14 1.4859435E-14 5.0522078E-15 -1.399253E-16 016.2909346213 13.3219257162 7.7172767686 3.92319063369 1 6.2166581E-14 1.7045676E-14 5.8907849E-15 -8.104138E-18 025.7441803566 22.3259789067 14.8918634294 9.27799000315 3.89617964381 1 2.1852163E-14 7.3824874E-15 1.4764975E-16 048.7921265344 43.7561569747 31.7390266164 22.1345462276 11.6767139379 4.80366096597 1 1.2245253E-14 4.1745179E-16 072.7725494086 66.9368464648 51.8484086958 39.3502361044 24.2867693499 12.9601719446 4.8036613274 1 7.2896468E-16 0

96.028908148 90.0557948537 73.4717664631 59.4858117174 41.1462833119 25.9647037464 12.9601728917 4.80366145519 1 01 1 1 1 1 1 1 1 1 1

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 34: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 34

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.15024097157 0 0 0 0 0 0 0 0 0-0.6200490909 0.1709784111 0 0 0 0 0 0 0 01.52844452411 -0.7757166138 0.21659890795 0 0 0 0 0 0 0-1.8262459847 1.19253361121 -0.6548830832 0.28452259547 0 0 0 0 0 01.18196380836 -0.9698785828 0.89767745784 -1.1162363816 0.3391326355 0 0 0 0 0

-0.447266197 0.44911174109 -0.6470752947 1.70925967132 -1.321321671 0.38589994914 0 0 0 00.05923549451 -0.0894440625 0.24730882636 -1.4745095908 2.38722656272 -1.8537325225 0.42354729795 0 0 0

-0.007476229 0.01274824353 -0.0639708905 0.84448969156 -2.5793079662 3.9033735352 -2.0345777755 0.46097437392 0 0-0.0023294584 0.00066122103 0.00950408419 -0.3232434872 1.80493151454 -4.7455688655 4.28417662844 -2.2143648318 0.4978232539 0-0.0165178385 0.00900603116 -0.0051600079 0.07571750123 -0.6306610755 2.31002790359 -2.6731461509 1.75339045791 -0.4978232539 1

11 12 13 14 15 16 17 18 19 20-1.840435E-19 2.9337081E-17 2.051986E-17 2.2822309E-17 1.12483E-17 9.0109286E-18 4.3449874E-18 1.3353213E-18 -8.845637E-20 0-3.668862E-19 5.8482757E-17 4.0905842E-17 4.5495718E-17 2.2423212E-17 1.7963067E-17 8.6616268E-18 2.6619305E-18 -1.763356E-19 0-6.868581E-19 1.0948724E-16 7.6580993E-17 8.5173829E-17 4.1979134E-17 3.362917E-17 1.6215678E-17 4.9834759E-18 -3.30123E-19 0-7.369818E-19 1.1747712E-16 8.2169526E-17 9.1389429E-17 4.504258E-17 3.6083274E-17 1.7399025E-17 5.3471474E-18 -3.542138E-19 0-7.794587E-18 -2.535598E-16 8.0474225E-17 2.3609185E-17 2.2042205E-17 3.086097E-17 1.3598458E-17 4.1791398E-18 -2.768409E-19 0-7.828585E-18 -2.35968E-16 9.0681087E-17 3.5497465E-17 2.7816845E-17 3.5379564E-17 1.5787717E-17 4.8519529E-18 -3.214104E-19 0-1.944089E-17 -3.069297E-16 1.0918742E-16 3.8665125E-17 3.2128275E-17 4.2322847E-17 1.8796776E-17 5.7767106E-18 -3.826696E-19 0-2.495276E-17 -3.798923E-16 1.3719098E-16 4.9610705E-17 4.0712963E-17 5.3247418E-17 2.3671376E-17 7.2747949E-18 -4.81908E-19 0-2.661765E-16 -2.985858E-16 1.1127629E-16 3.7998493E-17 3.9308838E-17 4.3552035E-17 1.9414555E-17 5.9665691E-18 -3.952465E-19 0-2.761206E-16 -2.972548E-16 1.2151657E-16 4.685818E-17 4.4342988E-17 4.7896592E-17 2.1463402E-17 6.59623E-18 -4.369574E-19 0

0.15024097157 -2.617748E-16 1.1850661E-16 5.0925621E-17 4.4636004E-17 4.7039139E-17 2.1187859E-17 6.511549E-18 -4.313479E-19 00.08558404804 0.1709784111 3.6157715E-16 1.4162628E-15 1.1069847E-15 2.2299131E-16 -1.98023E-17 1.0225458E-17 4.2958443E-18 00.17912157273 0.20697687567 0.21659890795 1.7799797E-15 1.3876581E-15 3.196958E-16 -1.3387313E-18 1.9333988E-17 4.7395434E-18 00.11991192725 0.13978748897 0.20536610424 0.28452259547 1.0876137E-15 8.033646E-16 1.3124072E-16 8.8011646E-18 3.0934995E-18 0

Page 35: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 35

0.08430931536 0.09442728471 0.1399363124 0.21424559757 0.3391326355 6.0076255E-16 1.0462838E-16 7.3775832E-18 1.9646137E-18 00.04761967102 0.05120976965 0.07060630995 0.10583873788 0.18221385538 0.38589994914 5.5077228E-17 5.121658E-18 1.0053809E-18 00.03782284462 0.03947189426 0.04948986599 0.06715073465 0.11039228093 0.18084509993 0.42354729795 2.1261133E-17 -6.200846E-18 0

0.0319562772 0.03269218704 0.03787092956 0.04582810217 0.06733217087 0.10425884099 0.17978699745 0.46097437392 -2.350158E-18 00.02802753504 0.02836011116 0.0312326394 0.03445345808 0.04425636942 0.06144751294 0.0989933611 0.17700954444 0.4978232539 00.23540583717 0.23609597745 0.24889893051 0.24796077418 0.2566726879 0.267548597 0.29767234351 0.36201608164 0.5021767461 1

11 12 13 14 15 16 17 18 19 201.4083696E-14 -9.638317E-15 0 -6.7541471E-15 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 5.4596922E-15 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

-2.018143E-14 4.3522989E-14 -5.307572E-15 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 4.9831344E-15 0 0 0 0 0 0 0 0

1.4951773E-14 -5.020963E-15 0 0 0 0 0 0 0 00 3.698696E-15 0 0 0 0 0 0 0 0

6.6559739967 0 0 0 0 0 0 0 0 0-3.331679097 5.84869161889 1.8834488E-14 -1.5164871E-14 -1.631325E-14 -4.795708E-15 0 0 0 0

-2.3206395861 -5.5888735983 4.61682844791 0 0 0 0 0 0 00.50673337996 1.16050987908 -3.3323893687 3.51465934839 0 -4.630592E-15 0 0 0 0

-0.089589873 -0.0555058329 0.20018068613 -2.2203710687 2.9486988137 0 0 0 0 0-0.0512995152 -0.0456423437 -0.0252838335 0.08446558071 -1.3923136824 2.59134524953 0 0 0 0-0.0478158298 -0.0420586154 -0.0525083555 -0.0145799936 -0.1740548958 -1.1064457096 2.36101140262 0 0 0-0.0415223767 -0.0361779526 -0.0510412795 -0.0385113681 -0.0479169249 -0.1545554469 -0.9208302566 2.16931798507 0 0-0.0358406639 -0.0310740554 -0.0451089217 -0.0396859802 -0.0386331065 -0.0448816958 -0.1420759467 -0.7713379905 2.00874505592 0

-0.244320435 -0.2098690996 -0.3106773752 -0.2859765184 -0.2957802042 -0.2854623973 -0.2981051993 -0.3979799946 -1.0087450559 1

Page 36: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 36

11 12 13 14 15 16 17 18 19 201.4083696E-14 -9.638317E-15 0 -6.7541471E-15 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 5.4596922E-15 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

-2.018143E-14 4.3522989E-14 -5.307572E-15 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 4.9831344E-15 0 0 0 0 0 0 0 0

1.4951773E-14 -5.020963E-15 0 0 0 0 0 0 0 00 3.698696E-15 0 0 0 0 0 0 0 0

6.6559739967 0 0 0 0 0 0 0 0 0-3.331679097 5.84869161889 1.8834488E-14 -1.5164871E-14 -1.631325E-14 -4.795708E-15 0 0 0 0

-2.3206395861 -5.5888735983 4.61682844791 0 0 0 0 0 0 00.50673337996 1.16050987908 -3.3323893687 3.51465934839 0 -4.630592E-15 0 0 0 0

-0.089589873 -0.0555058329 0.20018068613 -2.2203710687 2.9486988137 0 0 0 0 0-0.0512995152 -0.0456423437 -0.0252838335 0.08446558071 -1.3923136824 2.59134524953 0 0 0 0-0.0478158298 -0.0420586154 -0.0525083555 -0.0145799936 -0.1740548958 -1.1064457096 2.36101140262 0 0 0-0.0415223767 -0.0361779526 -0.0510412795 -0.0385113681 -0.0479169249 -0.1545554469 -0.9208302566 2.16931798507 0 0-0.0358406639 -0.0310740554 -0.0451089217 -0.0396859802 -0.0386331065 -0.0448816958 -0.1420759467 -0.7713379905 2.00874505592 0

-0.244320435 -0.2098690996 -0.3106773752 -0.2859765184 -0.2957802042 -0.2854623973 -0.2981051993 -0.3979799946 -1.0087450559 1

Page 37: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 37

11 12 13 14 15 16 17 18 19 20-4.671034E-18 2.5163685E-17 1.3465533E-17 1.86557E-17 1.7694445E-31 7.9906231E-32 0 0 0 0-9.311593E-18 5.0163194E-17 2.6843213E-17 3.7189684E-17 3.5273446E-31 1.5929113E-31 0 0 0 0-3.573258E-17 7.2578601E-17 1.8912471E-17 2.6202111E-17 4.8706115E-31 1.8114031E-31 0 0 0 0

-4.53761E-17 6.9672928E-17 8.2426171E-18 1.1419659E-17 4.5597403E-31 1.4934746E-31 0 0 0 0-2.551715E-17 -2.515011E-16 5.7315062E-17 3.2776486E-18 -1.6084E-30 -4.595869E-31 0 0 0 0-3.244112E-17 -2.415664E-16 5.599697E-17 2.0709293E-18 -1.545775E-30 -4.433575E-31 0 0 0 0-3.776186E-17 -3.104962E-16 7.0692662E-17 2.3109585E-18 -1.98715E-30 -5.704945E-31 0 0 0 0-8.259922E-17 -4.556394E-16 8.9836913E-17 5.4967108E-18 -2.914279E-30 -8.33413E-31 0 0 0 0-2.640838E-16 -2.844941E-16 7.2931966E-17 6.9019416E-18 -1.816702E-30 -5.141695E-31 0 0 0 0-3.175822E-16 -3.673228E-16 7.7656093E-17 1.0712731E-17 -2.344104E-30 -6.606479E-31 0 0 0 0

0.15024097157 -3.305681E-16 7.3624495E-17 1.3314206E-17 -2.106451E-30 -5.879785E-31 0 0 0 00.08558404804 0.1709784111 3.2419863E-16 1.4306808E-15 1.0953216E-15 3.1642353E-16 0 0 0 00.17912157273 0.20697687567 0.21659890795 1.7510079E-15 1.3259349E-15 3.8304458E-16 0 0 0 00.11991192725 0.13978748897 0.20536610424 0.28452259547 1.1355746E-15 7.6712592E-16 0 0 0 00.08430931536 0.09442728471 0.1399363124 0.21424559757 0.3391326355 5.5759829E-16 0 0 0 00.04761967102 0.05120976965 0.07060630995 0.10583873788 0.18221385538 0.38589994914 0 0 0 00.03782284462 0.03947189426 0.04948986599 0.06715073465 0.11039228093 0.18084509993 0.42354729795 0 0 0

0.0319562772 0.03269218704 0.03787092956 0.04582810217 0.06733217087 0.10425884099 0.17978699745 0.46097437392 0 00.02802753504 0.02836011116 0.0312326394 0.03445345808 0.04425636942 0.06144751294 0.0989933611 0.17700954444 0.4978232539 00.23540583717 0.23609597745 0.24889893051 0.24796077418 0.2566726879 0.267548597 0.29767234351 0.36201608164 0.5021767461 1

Page 38: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 38

0

Page 39: CERRO VERDE-HPGRSim_Open.xlsx

Model (Overall)

Page 39

Fresh MillFeed Discharge

1 54.52 1 0.529238323412 338.71 2 6.872818793143 367.36 3 24.29428203254 339.44 4 44.3843452215 131.37 5 44.53172021736 163.55 6 61.28773549097 54.52 7 76.99413342148 6.91 8 96.56726617619 0.59 9 77.6182886834

10 0.15 10 81.800493883911 0.29 11 76.805397879112 0.15 12 42.500801758313 0.44 13 125.2397928114 0.44 14 99.762501710215 0.29 15 86.535345622416 0.73 16 56.389143532117 0.29 17 48.505422697818 0.73 18 43.168086842919 0.44 19 38.767172565220 8.38 20 336.743273994

1469.29726166 1469.29726166

Page 40: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Center)

Page 40

L 1.40 Le 0.15443914214

Ebar 6.22 N 5

Matrix J1 2 3 4 5 6 7 8 9 10

1 0.0067645749 0 0 0 0 0 0 0 0 02 0 0.0123045888 0 0 0 0 0 0 0 03 0 0 0.02055959098 0 0 0 0 0 0 04 0 0 0 0.02952639235 0 0 0 0 0 05 0 0 0 0 0.0363136728 0 0 0 0 06 0 0 0 0 0 0.04280262627 0 0 0 07 0 0 0 0 0 0 0.05197528593 0 0 08 0 0 0 0 0 0 0 0.0664538603 0 09 0 0 0 0 0 0 0 0 0.08354864881 0

10 0 0 0 0 0 0 0 0 0 0.1016098809811 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0

Page 41: CERRO VERDE-HPGRSim_Open.xlsx

J&T (Center)

Page 41

Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 -2.5911666699 1 0 0 0 0 0 0 0 03 3.06706206914 -3.3015366305 1 0 0 0 0 0 0 04 -1.9283548389 4.2109082741 -3.5773722192 1 0 0 0 0 0 05 0.43767641151 -2.2727758103 4.79380677464 -4.3170335283 1 0 0 0 0 06 0.03406354809 0.4407904464 -3.8248186032 9.6773682128 -5.9417007334 1 0 0 0 07 -0.0019102525 -0.100419748 2.64075394902 -14.799469393 16.5027434122 -5.6768452049 1 0 0 08 -0.0028973609 0.0290212386 -1.6807103255 17.1618088197 -28.800203194 14.8039145669 -5.1259335084 1 0 09 -0.0014033927 -0.0074818905 0.77521879603 -12.337288459 27.908592346 -18.947325401 9.88042885455 -4.3357378392 1 0

10 -0.0017327362 0.000571321 -0.1665287001 5.10525195504 -16.503232308 15.0463141209 -11.500571461 9.2096560851 -5.2091022286 111 -0.0014481103 8.970569E-05 0.03513948793 -1.7570705605 7.60499678011 -8.8355712535 9.19763943109 -11.627919012 11.5656798148 -4.801372726712 -0.0005901337 4.938039E-05 -0.0022830361 0.26041295001 -1.5740368469 2.36164077284 -3.3447724848 6.46886054424 -10.371057661 7.4671260938613 -0.0030014005 0.0002656671 0.00142389435 0.07711720178 -0.4189176992 0.45033688121 -0.1866637615 -1.3342163329 6.32650315721 -9.065393865514 -0.0009459886 7.160424E-05 0.00093908173 -0.035082656 0.16788214319 -0.18832911 0.08707804478 0.75835880229 -4.49885206 8.1198603911815 -0.0009546449 8.102247E-05 0.00080583135 -0.0038901548 -0.0094644052 0.02475918954 -0.0174310446 -0.212889718 1.68965776109 -3.942579198216 -0.0005186461 4.29911E-05 0.00042471589 -0.0039219144 0.00902520063 -0.0073948585 0.00332447899 0.04170103941 -0.3992330345 1.1564366020417 -0.0004700967 3.932221E-05 0.00039312013 -0.0035065076 0.00689634098 -0.0041404333 0.00097476395 0.00461962043 -0.0045848638 -0.065163891718 -0.0004141347 3.461725E-05 0.00034566038 -0.0030621995 0.00591619366 -0.0034371131 0.00075236384 0.00351229226 -0.012478954 0.0184795491819 -0.0003631361 3.031046E-05 0.00030213043 -0.002670247 0.00514298743 -0.0029752685 0.00064667625 0.00302336299 -0.0109370011 0.0143720549820 -0.002630486 0.0002181783 0.00215944218 -0.01896352 0.03635978248 -0.0209468888 0.00452764658 0.02103115569 -0.0755949297 0.09823499095

Vector SiE1 2 3 4 5 6 7 8 9 10

1 1.37979676466 1.1335217342 0.94446444939 0.82236264185 0.75643359116 0.70595889927 0.64844497874 0.57878555972 0.51690263991 0.46619775695

Matrix bij1 2 3 4 5 6 7 8 9 10

1 0 0 0 0 0 0 0 0 0 02 0.46248814819 0 0 0 0 0 0 0 0 0

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J&T (Center)

Page 42

3 0.20449534617 0.5506551239 0 0 0 0 0 0 0 04 0.05573294403 0.1163283704 0.46248814819 0 0 0 0 0 0 05 0.02333683082 0.0389568693 0.12366865302 0.34609782573 0 0 0 0 0 06 0.02279994512 0.0324869942 0.08082669315 0.20455729821 0.3964730246 0 0 0 0 07 0.0243423011 0.0304258564 0.05573294403 0.11632837042 0.20866710796 0.46248814819 0 0 0 08 0.02881851861 0.033255361 0.04613677594 0.07144386353 0.10767330112 0.20449534617 0.55065512394 0 0 09 0.01780928841 0.0199830934 0.02443506501 0.03053632385 0.03791117231 0.05590600845 0.11664034711 0.46357085541 0 0

10 0.01896730894 0.0211288949 0.0249219054 0.02884149369 0.0326371126 0.04049170444 0.06376484164 0.18709888603 0.51098001528 011 0.01670222579 0.0185593281 0.02161313772 0.02428649336 0.02640391105 0.02990707208 0.03790336906 0.07221976138 0.15600347908 0.5109800152812 0.00759276075 0.008431701 0.00978727506 0.0109137429 0.01173648344 0.01293935352 0.01514780856 0.02226760981 0.03736279342 0.0980489719813 0.03155419798 0.0350309281 0.04060417965 0.045121712 0.04828291959 0.05256299853 0.05910907338 0.07305307211 0.09336877549 0.1598242270614 0.0146811232 0.016297434 0.0188824756 0.02096256428 0.02239910113 0.02429498654 0.02699102907 0.03140041278 0.03521776406 0.0414620987815 0.01215608943 0.0134943491 0.01563442095 0.0173557629 0.01854367121 0.02010914405 0.02232561498 0.02588225966 0.02878721751 0.0328372502316 0.00691896141 0.0076806626 0.00889871155 0.00987837787 0.01055437964 0.01144505393 0.01270531316 0.01472191999 0.01635433593 0.0185674814917 0.00610095708 0.0067726043 0.00784664328 0.00871047522 0.00930653697 0.0100918578 0.01120292999 0.01297998482 0.01441632676 0.0163543359318 0.00537966273 0.0059719034 0.00691896141 0.00768066262 0.00820624943 0.00889871155 0.00987837787 0.01144505393 0.0127108125 0.0144163267619 0.00474364448 0.0052658666 0.00610095708 0.00677260434 0.00723605174 0.00784664328 0.00871047522 0.0100918578 0.01120777782 0.012710812520 0.03537974575 0.0392746591 0.04550305297 0.05051242907 0.05396897721 0.05852297146 0.06496569603 0.07526832629 0.08359070216 0.09479847998

1 1 1 1 1 1 1 1 1 1

Matrix Tij (inverse)1 2 3 4 5 6 7 8 9 10

1 1 -7.225172E-14 6.99298E-14 1.2339445E-14 3.5920663E-17 -1.137209E-14 -4.733629E-16 4.0186229E-15 1.671375E-14 1.1814421E-142 2.59116666988 1 1.6046539E-13 6.4235108E-14 5.42381E-14 -1.675211E-15 1.0699409E-14 1.2031277E-14 4.3568554E-14 3.0634699E-143 5.48776960717 3.3015366305 1 1.7422872E-13 1.789589E-13 2.9348121E-14 3.6776324E-14 2.7396337E-14 9.258107E-14 6.4906018E-144 10.648984207 7.5999171484 3.57737221918 1 4.1188021E-13 9.0113898E-14 8.5595558E-14 5.5093621E-14 1.799638E-13 1.2597548E-135 25.1161792598 19.254944286 10.6498290387 4.31703352829 1 2.5217004E-13 2.2296966E-13 1.2678726E-13 4.1261009E-13 2.8234912E-136 65.9921776871 53.046908232 32.483367414 15.9731530684 5.94170073341 1 6.3244198E-13 3.1951655E-13 1.0443616E-12 6.9287072E-137 103.511096777 87.236296743 58.9541092497 34.2336901774 17.2273719054 5.67684520494 1 4.7177078E-13 1.5433701E-12 9.699382E-138 103.394723497 91.503447366 68.3176205404 46.1840601994 29.1461360661 14.2952164909 5.12593350836 1 1.3997088E-12 7.9261809E-13

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J&T (Center)

Page 43

9 102.122601991 93.732015482 75.3264598427 56.5019255844 40.8269274298 24.8379712942 12.3442750189 4.33573783921 1 6.1195541E-1310 138.281476724 130.16974618 110.112181476 88.4946723605 69.4729076256 47.9701539111 28.5950772457 13.3756455559 5.20910222865 111 143.620840965 138.04909712 121.90877552 103.626075677 86.7252314328 65.9001810219 44.9319918595 25.7036231782 13.4451615566 4.8013727267412 177.580632535 172.76022708 156.485554911 137.409406526 119.194367382 95.5212627585 70.1216704993 44.6993346911 26.9626279989 12.348286195813 89.3203428436 88.387079713 83.1185494677 76.5259033655 69.8492170328 60.3646362122 49.1861801694 36.4669466091 26.44205476 16.242927314214 35.0165824025 35.082445776 34.0120149278 32.5409526846 30.9312474417 28.4040124533 25.1727040704 21.0681040015 17.5228053155 13.22682849315 39.7337895157 39.984728982 39.2852012342 38.2340010277 37.0056388153 34.9354254648 32.1796768429 28.4856664332 25.1772528226 20.789322489216 48.894396582 49.289742104 48.7737052059 47.9149197536 46.8434909985 44.925214752 42.3094343876 38.6902284307 35.3995972359 30.76568982817 79.9717556461 80.666745804 80.1342842583 79.1393517624 77.8168296061 75.3252916032 71.878462601 67.020390955 62.5867208833 56.08020010718 106.531518565 107.47112574 107.056565209 106.134634935 104.810323484 102.176220062 98.4924503462 93.2305000571 88.4421271246 81.14952385119 128.87804651 129.99111107 129.73882569 128.980674153 127.77980948 125.247255738 121.677784222 116.533266658 111.894413293 104.58396013220 1 1 1 1 1 1 1 1 1 1

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J&T (Center)

Page 44

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.12400944098 0 0 0 0 0 0 0 0 00 0.14264569201 0 0 0 0 0 0 0 00 0 0.18442777604 0 0 0 0 0 0 00 0 0 0.24835849927 0 0 0 0 0 00 0 0 0 0.30104201706 0 0 0 0 00 0 0 0 0 0.34696232164 0 0 0 00 0 0 0 0 0 0.38442143611 0 0 00 0 0 0 0 0 0 0.42206960411 0 00 0 0 0 0 0 0 0 0.4595124 00 0 0 0 0 0 0 0 0 1

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J&T (Center)

Page 45

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-4.1270306259 1 0 0 0 0 0 0 0 010.1732870079 -4.5369272579 1 0 0 0 0 0 0 0-12.155445786 6.97476133713 -3.0234828487 1 0 0 0 0 0 07.8671203735 -5.6725207384 4.14442282439 -3.9231906337 1 0 0 0 0 0

-2.9769921771 2.62671607605 -2.9874356286 6.00746548261 -3.8961796438 1 0 0 0 00.39426991116 -0.5231307389 1.14178242495 -5.1823989175 7.03921213351 -4.803660966 1 0 0 0-0.0497615861 0.07456054509 -0.2953426273 2.96809358907 -7.6056023402 10.1149884676 -4.8036613274 1 0 0-0.0155048145 0.00386727788 0.04387872625 -1.136090744 5.32219941574 -12.297407336 10.1149898706 -4.8036614552 1 0-0.1099423034 0.05267349894 -0.0238228711 0.26612122353 -1.8596295653 5.98607983426 -6.3113285432 3.80366145519 -1 1

11 12 13 14 15 16 17 18 19 200.41658325074 0.38287914167 0.32343813969 0.25828704986 0.21819103744 0.1895755038 0.16940978134 0.15138914942 0.1352854 0

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

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J&T (Center)

Page 46

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.33390178338 0 0 0 0 0 0 0 0 00.39700015785 0.70434628778 0 0 0 0 0 0 0 00.05311088651 0.06450692655 0.60902898726 0 0 0 0 0 0 00.03800120628 0.04146209878 0.12187295398 0.60902898726 0 0 0 0 0 0

0.0211385293 0.02261751422 0.03795127309 0.09531730052 0.51098001528 0 0 0 0 00.01856748149 0.01979969599 0.02886184894 0.04722762777 0.15600347908 0.51098001528 0 0 0 00.01635433593 0.0174228913 0.02429897077 0.03243891221 0.06391844688 0.15600347908 0.51098001528 0 0 00.01441632676 0.01535405596 0.0211385293 0.02630248535 0.03795127309 0.06391844688 0.15600347908 0.51098001528 0 00.10750929247 0.11449052943 0.15684743666 0.18968468689 0.23114678568 0.26909805876 0.33301650564 0.48901998472 1 0

1 1 1 1 1 1 1 1 1 0

11 12 13 14 15 16 17 18 19 201.1616858E-14 9.6750744E-15 8.5838832E-15 -1.324722E-14 2.4714268E-15 -2.775611E-15 -2.281606E-15 -1.336142E-15 -3.74E-17 03.0101214E-14 2.506973E-14 2.2242272E-14 -3.432575E-14 6.4038787E-15 -7.19207E-15 -5.91202E-15 -3.462167E-15 -9.68E-17 06.3750639E-14 5.3094579E-14 4.7106374E-14 -7.269769E-14 1.3562621E-14 -1.523191E-14 -1.252093E-14 -7.332441E-15 -2.05E-16 01.2370773E-13 1.0302971E-13 9.1409637E-14 -1.410694E-13 2.6318185E-14 -2.955743E-14 -2.429678E-14 -1.422856E-14 -3.98E-16 02.8554244E-13 2.3730548E-13 2.1331434E-13 -3.159176E-13 6.1880107E-14 -6.974725E-14 -5.730521E-14 -3.355879E-14 -9.38E-16 07.2961304E-13 6.0463873E-13 5.5292201E-13 -7.74381E-13 1.6194992E-13 -1.833737E-13 -1.505681E-13 -8.817494E-14 -2.46E-15 01.0952005E-12 9.033604E-13 8.4924859E-13 -1.081782E-12 2.5250053E-13 -2.879011E-13 -2.361715E-13 -1.383056E-13 -3.87E-15 01.0197343E-12 8.3435208E-13 8.2107475E-13 -8.799821E-13 2.4991628E-13 -2.879894E-13 -2.35906E-13 -1.381501E-13 -3.86E-15 0

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J&T (Center)

Page 47

9.319838E-13 7.5707785E-13 7.8351701E-13 -6.671364E-13 2.4452783E-13 -2.848617E-13 -2.330035E-13 -1.364503E-13 -3.81E-15 01.1722752E-12 9.5033579E-13 1.0285636E-12 -6.659532E-13 3.2839847E-13 -3.862133E-13 -3.155038E-13 -1.847637E-13 -5.16E-15 0

1 9.1658919E-13 1.0350139E-12 -4.49003E-13 3.3832172E-13 -4.016287E-13 -3.276861E-13 -1.918979E-13 -5.36E-15 04.12703062592 1 1.2514316E-12 -3.53251E-13 4.1869367E-13 -4.789097E-13 -4.000364E-13 -2.347704E-13 -6.63E-15 08.55075073283 4.53692725785 1 0 2.1931668E-13 -1.682163E-13 -1.805077E-13 -1.079906E-13 -3.32E-15 09.22344032265 6.74256041261 3.02348284866 1 9.4543153E-14 0 -4.561412E-14 -2.989649E-14 -1.29E-15 016.2909346213 13.3219257162 7.7172767686 3.92319063369 1 3.6284728E-14 -2.356314E-14 -1.968501E-14 -1.45E-15 025.7441803566 22.3259789067 14.8918634294 9.27799000315 3.89617964381 1 0 -9.301934E-15 -1.77E-15 048.7921265344 43.7561569747 31.7390266164 22.1345462276 11.6767139379 4.80366096597 1 0 -2.86E-15 072.7725494086 66.9368464648 51.8484086958 39.3502361044 24.2867693499 12.9601719446 4.8036613274 1 -3.75E-15 0

96.028908148 90.0557948537 73.4717664631 59.4858117174 41.1462833119 25.9647037464 12.9601728917 4.80366145519 1 01 1 1 1 1 1 1 1 1 1

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J&T (Center)

Page 48

SiE1 1.379796764662 1.133521734193 0.944464449394 0.822362641855 0.756433591166 0.705958899277 0.648444978748 0.578785559729 0.51690263991

10 0.4661977569511 0.4165832507412 0.3828791416713 0.3234381396914 0.2582870498615 0.2181910374416 0.189575503817 0.1694097813418 0.1513891494219 0.1352854271720 0

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Model (Center)

Page 49

Matrix J1 2 3 4 5 6 7 8 9 10

1 0.0067645749 0 0 0 0 0 0 0 0 02 0 0.0123045888 0 0 0 0 0 0 0 03 0 0 0.02055959098 0 0 0 0 0 0 04 0 0 0 0.02952639235 0 0 0 0 0 05 0 0 0 0 0.0363136728 0 0 0 0 06 0 0 0 0 0 0.04280262627 0 0 0 07 0 0 0 0 0 0 0.05197528593 0 0 08 0 0 0 0 0 0 0 0.0664538603 0 09 0 0 0 0 0 0 0 0 0.08354864881 0

10 0 0 0 0 0 0 0 0 0 0.1016098809811 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0

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Model (Center)

Page 50

Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 -2.5911666699 1 0 0 0 0 0 0 0 03 3.06706206914 -3.3015366305 1 0 0 0 0 0 0 04 -1.9283548389 4.2109082741 -3.5773722192 1 0 0 0 0 0 05 0.43767641151 -2.2727758103 4.79380677464 -4.3170335283 1 0 0 0 0 06 0.03406354809 0.44079044641 -3.8248186032 9.6773682128 -5.9417007334 1 0 0 0 07 -0.0019102525 -0.100419748 2.64075394902 -14.799469393 16.5027434122 -5.6768452049 1 0 0 08 -0.0028973609 0.02902123863 -1.6807103255 17.1618088197 -28.800203194 14.8039145669 -5.1259335084 1 0 09 -0.0014033927 -0.0074818905 0.77521879603 -12.337288459 27.908592346 -18.947325401 9.88042885455 -4.3357378392 1 0

10 -0.0017327362 0.000571321 -0.1665287001 5.10525195504 -16.503232308 15.0463141209 -11.500571461 9.2096560851 -5.2091022286 111 -0.0014481103 8.9705691E-05 0.03513948793 -1.7570705605 7.60499678011 -8.8355712535 9.19763943109 -11.627919012 11.5656798148 -4.801372726712 -0.0005901337 4.9380391E-05 -0.0022830361 0.26041295001 -1.5740368469 2.36164077284 -3.3447724848 6.46886054424 -10.371057661 7.4671260938613 -0.0030014005 0.00026566707 0.00142389435 0.07711720178 -0.4189176992 0.45033688121 -0.1866637615 -1.3342163329 6.32650315721 -9.065393865514 -0.0009459886 7.1604238E-05 0.00093908173 -0.035082656 0.16788214319 -0.18832911 0.08707804478 0.75835880229 -4.49885206 8.1198603911815 -0.0009546449 8.1022472E-05 0.00080583135 -0.0038901548 -0.0094644052 0.02475918954 -0.0174310446 -0.212889718 1.68965776109 -3.942579198216 -0.0005186461 4.2991104E-05 0.00042471589 -0.0039219144 0.00902520063 -0.0073948585 0.00332447899 0.04170103941 -0.3992330345 1.1564366020417 -0.0004700967 3.9322211E-05 0.00039312013 -0.0035065076 0.00689634098 -0.0041404333 0.00097476395 0.00461962043 -0.0045848638 -0.065163891718 -0.0004141347 3.4617253E-05 0.00034566038 -0.0030621995 0.00591619366 -0.0034371131 0.00075236384 0.00351229226 -0.012478954 0.0184795491819 -0.0003631361 3.031046E-05 0.00030213043 -0.002670247 0.00514298743 -0.0029752685 0.00064667625 0.00302336299 -0.0109370011 0.0143720549820 -0.002630486 0.00021817831 0.00215944218 -0.01896352 0.03635978248 -0.0209468888 0.00452764658 0.02103115569 -0.0755949297 0.09823499095

Matrix T (inverse)1 2 3 4 5 6 7 8 9 10

1 1 -4.749211E-14 4.8469467E-14 -4.983355E-14 -2.739314E-14 1.7549932E-14 1.8744752E-14 6.3134696E-15 -1.644793E-15 9.4634212E-152 2.59116666988 1 -3.452658E-14 -1.362344E-13 -9.24369E-14 2.2676407E-14 2.8341157E-14 1.3610289E-14 -4.341523E-15 2.4408798E-14

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Model (Center)

Page 51

3 5.48776960717 3.30153663048 1 -2.969403E-13 -2.211674E-13 2.1040258E-14 3.6078051E-14 2.5571065E-14 -9.289015E-15 5.156164E-144 10.648984207 7.59991714838 3.57737221918 1 -4.547784E-13 1.3623061E-14 4.5869137E-14 4.6340147E-14 -1.812025E-14 9.9920805E-145 25.1161792598 19.2549442862 10.6498290387 4.31703352829 1 -4.4674354E-14 5.0667255E-14 9.5341608E-14 -4.481056E-14 2.2257158E-136 65.9921776871 53.0469082325 32.483367414 15.9731530684 5.9417007334 1 -1.798189E-14 2.0963097E-13 -1.244536E-13 5.4161569E-137 103.511096777 87.2362967425 58.9541092497 34.2336901774 17.2273719054 5.67684520494 1 2.3431631E-13 -2.09211E-13 7.4646481E-138 103.394723497 91.503447366 68.3176205404 46.1840601994 29.1461360661 14.2952164909 5.12593350836 1 -2.250688E-13 5.8956073E-139 102.122601991 93.7320154819 75.3264598427 56.5019255844 40.8269274298 24.8379712942 12.3442750189 4.33573783921 1 4.2517657E-13

10 138.281476724 130.169746179 110.112181476 88.4946723605 69.4729076256 47.9701539111 28.5950772457 13.3756455559 5.20910222865 111 143.620840965 138.049097121 121.90877552 103.626075677 86.7252314328 65.9001810219 44.9319918595 25.7036231782 13.4451615566 4.8013727267412 177.580632534 172.760227081 156.485554911 137.409406526 119.194367382 95.5212627585 70.1216704993 44.6993346911 26.9626279989 12.348286195813 89.3203428436 88.3870797126 83.1185494677 76.5259033655 69.8492170328 60.3646362122 49.1861801694 36.4669466091 26.44205476 16.242927314214 35.0165824025 35.082445776 34.0120149278 32.5409526846 30.9312474417 28.4040124533 25.1727040704 21.0681040015 17.5228053155 13.22682849315 39.7337895157 39.9847289817 39.2852012341 38.2340010277 37.0056388153 34.9354254648 32.1796768429 28.4856664332 25.1772528226 20.789322489216 48.8943965819 49.2897421039 48.7737052059 47.9149197536 46.8434909985 44.925214752 42.3094343876 38.6902284307 35.3995972359 30.76568982817 79.971755646 80.6667458044 80.1342842582 79.1393517623 77.8168296061 75.3252916032 71.878462601 67.020390955 62.5867208833 56.08020010718 106.531518565 107.471125737 107.056565209 106.134634935 104.810323484 102.176220062 98.4924503462 93.2305000571 88.4421271246 81.14952385119 128.87804651 129.99111107 129.73882569 128.980674153 127.77980948 125.247255738 121.677784222 116.533266658 111.894413293 104.58396013220 1 1 1 1 1 1 1 1 1 1

Matrix T*J1 2 3 4 5 6 7 8 9 10

1 0.0067645749 0 0 0 0 0 0 0 0 02 -0.017528141 0.0123045888 0 0 0 0 0 0 0 03 0.02074737109 -0.0406240506 0.02055959098 0 0 0 0 0 0 04 -0.0130445007 0.05181349477 -0.0735493096 0.02952639235 0 0 0 0 0 05 0.00296069487 -0.0279655718 0.09855870651 -0.1274664258 0.0363136728 0 0 0 0 06 0.00023042542 0.00542374519 -0.078636706 0.28573777079 -0.2157649763 0.04280262627 0 0 0 07 -1.292205E-05 -0.0012356237 0.05429282106 -0.4369749399 0.5992752245 -0.2429838837 0.05197528593 0 0 08 -1.959941E-05 0.00035709441 -0.0345547168 0.5067263007 -1.0458411553 0.63364642254 -0.2664218598 0.0664538603 0 0

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Model (Center)

Page 52

9 -9.493355E-06 -9.206159E-05 0.01593818136 -0.3642756196 1.01346349065 -0.8109952879 0.51353811484 -0.2881265166 0.08354864881 010 -1.172122E-05 7.0298699E-06 -0.003423762 0.15073967228 -0.5992929781 0.64402176006 -0.5977454901 0.61201719885 -0.4352134527 0.1016098809811 -9.79585E-06 1.1037916E-06 0.0007224535 -0.0518799548 0.27616536469 -0.3781856542 0.47804993933 -0.7727201056 0.96629692106 -0.487866911312 -3.992003E-06 6.0760541E-07 -4.693829E-05 0.00768905494 -0.057159059 0.10108442738 -0.1738455063 0.42988075488 -0.8664878543 0.7587337936713 -2.03032E-05 3.268924E-06 2.9274685E-05 0.00227699276 -0.0152124403 0.01927560122 -0.0097019024 -0.0886638258 0.52857079046 -0.921133591714 -6.399211E-06 8.8106071E-07 1.9307136E-05 -0.0010358643 0.00609641722 -0.0080609805 0.00452590628 0.0503958699 -0.3758730108 0.8250580479415 -6.457767E-06 9.969482E-07 1.6567563E-05 -0.0001148622 -0.0003436873 0.00105975834 -0.0009059835 -0.0141473436 0.14116862289 -0.400605003116 -3.508421E-06 5.2898785E-07 8.731985E-06 -0.0001158 0.00032773818 -0.0003165194 0.00017279075 0.00277119505 -0.0333553806 0.117505385517 -3.180005E-06 4.8384364E-07 8.0823891E-06 -0.0001035345 0.00025043147 -0.0001772214 5.0663635E-05 0.00030699161 -0.0003830592 -0.006621295318 -2.801445E-06 4.2595107E-07 7.106636E-06 -9.04157E-05 0.00021483872 -0.0001471175 3.9104326E-05 0.00023340538 -0.0010425997 0.0018777047919 -2.456462E-06 3.7295774E-07 6.211678E-06 -7.884276E-05 0.00018676076 -0.0001273493 3.3611183E-05 0.00020091414 -0.0009137717 0.001460342820 -1.779412E-05 2.6845944E-06 4.4397248E-05 -0.0005599243 0.00132035724 -0.0008965819 0.00023532573 0.00139760148 -0.0063158542 0.00998164574

Matrix [T*J*T(inv.)]1 2 3 4 5 6 7 8 9 10

1 0.0067645749 -3.21264E-16 3.2787534E-16 -3.371028E-16 -1.853029E-16 1.1871783E-16 1.2680028E-16 4.2707938E-17 -1.112632E-17 6.4016022E-172 0.01435509935 0.0123045888 -1.274415E-15 -8.028187E-16 -6.572473E-16 -2.8593816E-17 2.0165631E-17 5.6805624E-17 -2.459049E-17 1.3446404E-163 0.0283099836 0.02725419208 0.02055959098 -1.604492E-15 -1.360285E-15 -1.2451345E-16 -2.067831E-17 1.0381346E-16 -4.873324E-17 2.648431E-164 0.03201731998 0.03338589056 0.03207758614 0.02952639235 -1.593407E-15 -1.9924281E-16 -7.522713E-17 1.103638E-16 -5.531906E-17 2.9923735E-165 0.02603747219 0.02791307957 0.02929826317 0.02930091724 0.0363136728 -1.8672708E-15 -1.188134E-15 -2.8628517E-16 -1.164816E-16 -2.268954E-166 0.03100783226 0.0333895545 0.03606698262 0.03796603509 0.03855541962 0.04280262627 -1.274371E-15 -2.9304397E-16 -1.295025E-16 -2.094992E-167 0.03787981887 0.04063952075 0.04447141387 0.04820336493 0.05093528515 0.05207176902 0.05197528593 -5.0048413E-16 -6.82809E-17 -3.182727E-168 0.04893071567 0.05182267572 0.05644010696 0.0616319474 0.06622105069 0.07118308503 0.07421620949 0.0664538603 -7.571444E-17 -4.182959E-169 0.0413746582 0.04323139942 0.04663173636 0.05084024268 0.05494424876 0.06062910537 0.06796824685 0.0741185214 0.08354864881 -2.658752E-16

10 0.04658258651 0.04800160175 0.05085866569 0.054570197 0.05835010194 0.06405387933 0.07256182075 0.08414351683 0.09408280477 0.1016098809811 0.04684382597 0.04766213439 0.04958374814 0.05220544866 0.05498701852 0.05947762737 0.06677217889 0.07884707618 0.09227527454 0.1075486364512 0.02737560667 0.0276185839 0.02838729681 0.02949196034 0.03071299568 0.03279810739 0.03635763897 0.04286154041 0.05082730813 0.0628654223913 0.0834831067 0.08361482598 0.08460931114 0.08614908559 0.08794041602 0.09114784635 0.0966527869 0.10690407161 0.11964857582 0.140367619314 0.07070204106 0.07029283339 0.07046572833 0.07093650532 0.07164731724 0.07319450266 0.07590375031 0.08120911119 0.08795670039 0.10077737779

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Model (Center)

Page 53

15 0.06328408881 0.06272245988 0.06260874144 0.06268002997 0.0629626142 0.06379237156 0.06520775022 0.06791457068 0.07116758517 0.0778780673716 0.04208759559 0.04163208245 0.04146543627 0.04139781606 0.04147375262 0.04185672075 0.04247915524 0.04359258014 0.04476148162 0.0473796387917 0.03646540114 0.03605194155 0.03587882084 0.03578090632 0.03580526032 0.03606746273 0.03647236373 0.03713697145 0.03771059884 0.0391038669118 0.03242718271 0.0320492367 0.03188120769 0.03177514803 0.03177709485 0.03197760535 0.0322736951 0.03271853256 0.0330105015 0.0338043973519 0.02923487414 0.02888690776 0.0287280386 0.02862308221 0.028615779 0.02878276417 0.02902223413 0.02935885841 0.02952289753 0.0300339490720 0.25483621567 0.25152649088 0.24998732496 0.2489209208 0.2487579726 0.25016452666 0.25213688348 0.25474078885 0.25548762288 0.2586311436

Matrix [T*J*T(inv.)] (inverse)1 2 3 4 5 6 7 8 9 10

1 147.828949275 1.0416228E-11 -4.970531E-12 1.0193107E-12 1.2262837E-12 2.2610957E-14 -2.258948E-13 -1.1311335E-13 1.2050993E-13 -9.0174E-142 -172.46405299 81.2704931946 7.5750144E-12 -4.468848E-13 -2.633563E-14 6.6101797E-14 3.2650379E-13 4.5046048E-14 0 03 25.0653478215 -107.73374017 48.6390999288 0 1.9843898E-14 -6.4944426E-15 8.8319378E-15 -6.7935807E-15 4.2740458E-15 04 7.47613768713 25.1487052607 -52.84170511 33.86800487 1.319247E-14 0 -6.040117E-15 0 0 05 0.31618476931 4.15880810851 3.39456927834 -27.327547211 27.537836936 3.8799267E-13 3.8879881E-13 1.1941948E-13 -1.196324E-13 1.2956853E-136 -0.5938601344 1.32945475283 2.82799038557 -5.4251066274 -24.805320396 23.3630523905 8.2029915E-15 0 0 07 -0.9836487602 -0.0968056762 1.23013533386 0.80575815789 -2.1354507399 -23.406421837 19.2399133948 7.4632357E-14 -2.186495E-14 08 -1.1579468567 -0.6615877308 -0.088058365 0.73258805607 1.51413017204 1.11478492123 -21.487291132 15.0480347649 0 09 -0.4563134224 -0.2595216772 -0.1998182545 -0.0061160326 0.28482058092 1.09859684552 3.41002599889 -13.349564627 11.9690744766 -2.985031E-14

10 -0.5820156223 -0.3444915333 -0.318930994 -0.2524735571 -0.1693472708 0.04682075124 0.89664789238 -0.1006800107 -11.082427087 9.8415625560911 -0.4707694508 -0.2637704896 -0.2451438637 -0.2145698196 -0.1913307033 -0.1692411749 -0.012702272 0.45294289629 0.70519057058 -8.535210102612 -0.172222505 -0.0863190752 -0.0787066516 -0.0672947802 -0.0601124738 -0.0617505555 -0.0508466565 0.03528224505 0.23910809234 0.2647771865213 -1.043389353 -0.6154285204 -0.5645747781 -0.4950702748 -0.450244272 -0.4571188761 -0.4587646627 -0.4334679422 -0.2170952655 -0.00258315314 -0.2183574877 -0.0756544186 -0.0636994274 -0.0442185733 -0.0306466387 -0.0312765794 -0.0338069594 -0.0556576201 -0.0520173883 0.030874519515 -0.2829597084 -0.1459584991 -0.1315613298 -0.1104985162 -0.0962781444 -0.0970111443 -0.0985205607 -0.1166520038 -0.1127151679 -0.123525068116 -0.14828492 -0.0730514406 -0.0654436296 -0.0541025699 -0.0463828976 -0.0466561457 -0.047156292 -0.0561966668 -0.0528397295 -0.057033730617 -0.1381047252 -0.0700648173 -0.0630067809 -0.0526115727 -0.0455691139 -0.0458669704 -0.0464022821 -0.0546059872 -0.0512803203 -0.054363784118 -0.1214699091 -0.0615035871 -0.055291318 -0.0461357784 -0.0399314981 -0.04019112 -0.0406555808 -0.0478573566 -0.0448710001 -0.04737878319 -0.105918843 -0.0533249585 -0.0479045139 -0.0398965987 -0.0344649129 -0.0346847129 -0.0350767288 -0.0413677015 -0.0387420879 -0.040876791120 -0.7473048601 -0.3662387218 -0.3279499098 -0.2707091723 -0.2317086276 -0.2330357925 -0.2353641591 -0.2802099902 -0.2613850932 -0.2762428497

Page 54: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 54

Matrix { [T*J*T(inv.)] (inverse) - C} (Open Circuit: no C matrix)1 2 3 4 5 6 7 8 9 10

1 147.828949275 1.0416228E-11 -4.970531E-12 1.0193107E-12 1.2262837E-12 2.2610957E-14 -2.258948E-13 -1.1311335E-13 1.2050993E-13 -9.0174E-142 -172.46405299 81.2704931946 7.5750144E-12 -4.468848E-13 -2.633563E-14 6.6101797E-14 3.2650379E-13 4.5046048E-14 0 03 25.0653478215 -107.73374017 48.6390999288 0 1.9843898E-14 -6.4944426E-15 8.8319378E-15 -6.7935807E-15 4.2740458E-15 04 7.47613768713 25.1487052607 -52.84170511 33.86800487 1.319247E-14 0 -6.040117E-15 0 0 05 0.31618476931 4.15880810851 3.39456927834 -27.327547211 27.537836936 3.8799267E-13 3.8879881E-13 1.1941948E-13 -1.196324E-13 1.2956853E-136 -0.5938601344 1.32945475283 2.82799038557 -5.4251066274 -24.805320396 23.3630523905 8.2029915E-15 0 0 07 -0.9836487602 -0.0968056762 1.23013533386 0.80575815789 -2.1354507399 -23.406421837 19.2399133948 7.4632357E-14 -2.186495E-14 08 -1.1579468567 -0.6615877308 -0.088058365 0.73258805607 1.51413017204 1.11478492123 -21.487291132 15.0480347649 0 09 -0.4563134224 -0.2595216772 -0.1998182545 -0.0061160326 0.28482058092 1.09859684552 3.41002599889 -13.349564627 11.9690744766 -2.985031E-14

10 -0.5820156223 -0.3444915333 -0.318930994 -0.2524735571 -0.1693472708 0.04682075124 0.89664789238 -0.1006800107 -11.082427087 9.8415625560911 -0.4707694508 -0.2637704896 -0.2451438637 -0.2145698196 -0.1913307033 -0.1692411749 -0.012702272 0.45294289629 0.70519057058 -8.535210102612 -0.172222505 -0.0863190752 -0.0787066516 -0.0672947802 -0.0601124738 -0.0617505555 -0.0508466565 0.03528224505 0.23910809234 0.2647771865213 -1.043389353 -0.6154285204 -0.5645747781 -0.4950702748 -0.450244272 -0.4571188761 -0.4587646627 -0.4334679422 -0.2170952655 -0.00258315314 -0.2183574877 -0.0756544186 -0.0636994274 -0.0442185733 -0.0306466387 -0.0312765794 -0.0338069594 -0.0556576201 -0.0520173883 0.030874519515 -0.2829597084 -0.1459584991 -0.1315613298 -0.1104985162 -0.0962781444 -0.0970111443 -0.0985205607 -0.1166520038 -0.1127151679 -0.123525068116 -0.14828492 -0.0730514406 -0.0654436296 -0.0541025699 -0.0463828976 -0.0466561457 -0.047156292 -0.0561966668 -0.0528397295 -0.057033730617 -0.1381047252 -0.0700648173 -0.0630067809 -0.0526115727 -0.0455691139 -0.0458669704 -0.0464022821 -0.0546059872 -0.0512803203 -0.054363784118 -0.1214699091 -0.0615035871 -0.055291318 -0.0461357784 -0.0399314981 -0.04019112 -0.0406555808 -0.0478573566 -0.0448710001 -0.04737878319 -0.105918843 -0.0533249585 -0.0479045139 -0.0398965987 -0.0344649129 -0.0346847129 -0.0350767288 -0.0413677015 -0.0387420879 -0.040876791120 -0.7473048601 -0.3662387218 -0.3279499098 -0.2707091723 -0.2317086276 -0.2330357925 -0.2353641591 -0.2802099902 -0.2613850932 -0.2762428497

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Model (Center)

Page 55

Matrix { [T*J*T(inv.)] (inverse) - C} (inverse)1 2 3 4 5 6 7 8 9 10

1 0.0067645749 -3.173895E-16 3.269479E-16 -3.377463E-16 -1.861367E-16 1.1859208E-16 1.2616165E-16 4.2339323E-17 -1.061901E-17 6.2016691E-172 0.01435509935 0.0123045888 -1.275893E-15 -8.03576E-16 -6.559292E-16 -3.1802512E-17 1.7781055E-17 5.3014659E-17 -2.253459E-17 1.3160557E-163 0.0283099836 0.02725419208 0.02055959098 -1.621744E-15 -1.375803E-15 -1.3502353E-16 -3.497304E-17 9.4123922E-17 -5.60019E-17 2.551128E-164 0.03201731998 0.03338589056 0.03207758614 0.02952639235 -1.60914E-15 -1.8908666E-16 -7.059453E-17 1.1556781E-16 -4.879552E-17 3.094999E-165 0.02603747219 0.02791307957 0.02929826317 0.02930091724 0.0363136728 -1.8642505E-15 -1.183895E-15 -2.8177187E-16 -1.358316E-16 -2.518819E-166 0.03100783226 0.0333895545 0.03606698262 0.03796603509 0.03855541962 0.04280262627 -1.288011E-15 -2.8285797E-16 -1.477564E-16 -2.323555E-167 0.03787981887 0.04063952075 0.04447141387 0.04820336493 0.05093528515 0.05207176902 0.05197528593 -5.5735902E-16 -9.491431E-17 -3.360698E-168 0.04893071567 0.05182267572 0.05644010696 0.0616319474 0.06622105069 0.07118308503 0.07421620949 0.0664538603 -1.106761E-16 -4.403374E-169 0.0413746582 0.04323139942 0.04663173636 0.05084024268 0.05494424876 0.06062910537 0.06796824685 0.0741185214 0.08354864881 -2.67885E-16

10 0.04658258651 0.04800160175 0.05085866569 0.054570197 0.05835010194 0.06405387933 0.07256182075 0.08414351683 0.09408280477 0.1016098809811 0.04684382597 0.04766213439 0.04958374814 0.05220544866 0.05498701852 0.05947762737 0.06677217889 0.07884707618 0.09227527454 0.1075486364512 0.02737560667 0.0276185839 0.02838729681 0.02949196034 0.03071299568 0.03279810739 0.03635763897 0.04286154041 0.05082730813 0.0628654223913 0.0834831067 0.08361482598 0.08460931114 0.08614908559 0.08794041602 0.09114784635 0.0966527869 0.10690407161 0.11964857582 0.140367619314 0.07070204106 0.07029283339 0.07046572833 0.07093650532 0.07164731724 0.07319450266 0.07590375031 0.08120911119 0.08795670039 0.1007773777915 0.06328408881 0.06272245988 0.06260874144 0.06268002997 0.0629626142 0.06379237156 0.06520775022 0.06791457068 0.07116758517 0.0778780673716 0.04208759559 0.04163208245 0.04146543627 0.04139781606 0.04147375262 0.04185672075 0.04247915524 0.04359258014 0.04476148162 0.0473796387917 0.03646540114 0.03605194155 0.03587882084 0.03578090632 0.03580526032 0.03606746273 0.03647236373 0.03713697145 0.03771059884 0.0391038669118 0.03242718271 0.0320492367 0.03188120769 0.03177514803 0.03177709485 0.03197760535 0.0322736951 0.03271853256 0.0330105015 0.0338043973519 0.02923487414 0.02888690776 0.0287280386 0.02862308221 0.028615779 0.02878276417 0.02902223413 0.02935885841 0.02952289753 0.0300339490720 0.25483621567 0.25152649088 0.24998732496 0.2489209208 0.2487579726 0.25016452666 0.25213688348 0.25474078885 0.25548762288 0.2586311436

Circuit Balance1 2 3 4 5 6 7

Fresh Mill Mill Sump Cyclone Cyclone CycloneFeed Feed Discharge Water Feed U'flow O'flow

1 54.516 54.516 0.369 0.000 0.369 0.000 0.3692 338.707 338.707 4.950 0.000 4.950 0.000 4.950

Page 56: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 56

3 367.361 367.361 18.327 0.000 18.327 0.000 18.3274 339.442 339.442 34.860 0.000 34.860 0.000 34.8605 131.368 131.368 36.353 0.000 36.353 0.000 36.3536 163.549 163.549 51.202 0.000 51.202 0.000 51.2027 54.516 54.516 66.570 0.000 66.570 0.000 66.5708 6.906 6.906 86.721 0.000 86.721 0.000 86.7219 0.588 0.588 72.687 0.000 72.687 0.000 72.687

10 0.147 0.147 78.753 0.000 78.753 0.000 78.75311 0.294 0.294 75.875 0.000 75.875 0.000 75.87512 0.147 0.147 43.046 0.000 43.046 0.000 43.04613 0.441 0.441 125.913 0.000 125.913 0.000 125.91314 0.441 0.441 104.028 0.000 104.028 0.000 104.02815 0.294 0.294 92.035 0.000 92.035 0.000 92.03516 0.735 0.735 61.037 0.000 61.037 0.000 61.03717 0.294 0.294 52.753 0.000 52.753 0.000 52.75318 0.735 0.735 47.056 0.000 47.056 0.000 47.05619 0.441 0.441 42.395 0.000 42.395 0.000 42.39520 8.376 8.376 374.367 0.000 374.367 0.000 374.367

Total 1469.297 1469.297 1469.297 0.000 1469.297 0.000 1469.297CL = 0

Page 57: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 57

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.12400944098 0 0 0 0 0 0 0 0 00 0.14264569201 0 0 0 0 0 0 0 00 0 0.18442777604 0 0 0 0 0 0 00 0 0 0.24835849927 0 0 0 0 0 00 0 0 0 0.30104201706 0 0 0 0 00 0 0 0 0 0.34696232164 0 0 0 00 0 0 0 0 0 0.38442143611 0 0 00 0 0 0 0 0 0 0.42206960411 0 00 0 0 0 0 0 0 0 0.45951235231 00 0 0 0 0 0 0 0 0 1

Page 58: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 58

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-4.1270306259 1 0 0 0 0 0 0 0 010.1732870079 -4.5369272579 1 0 0 0 0 0 0 0-12.155445786 6.97476133713 -3.0234828487 1 0 0 0 0 0 07.8671203735 -5.6725207384 4.14442282439 -3.9231906337 1 0 0 0 0 0

-2.9769921771 2.62671607605 -2.9874356286 6.00746548261 -3.8961796438 1 0 0 0 00.39426991116 -0.5231307389 1.14178242495 -5.1823989175 7.03921213351 -4.803660966 1 0 0 0-0.0497615861 0.07456054509 -0.2953426273 2.96809358907 -7.6056023402 10.1149884676 -4.8036613274 1 0 0-0.0155048145 0.00386727788 0.04387872625 -1.136090744 5.32219941574 -12.297407336 10.1149898706 -4.8036614552 1 0-0.1099423034 0.05267349894 -0.0238228711 0.26612122353 -1.8596295653 5.98607983426 -6.3113285432 3.80366145519 -1 1

11 12 13 14 15 16 17 18 19 20-1.895816E-17 3.0219872E-15 2.113733E-15 2.3509062E-15 1.1586776E-15 9.2820793E-16 4.4757338E-16 1.3755028E-16 -9.111814E-18 0-4.912375E-17 7.8304726E-15 5.4770344E-15 6.0915898E-15 3.0023267E-15 2.4051414E-15 1.1597372E-15 3.5641571E-16 -2.361023E-17 0

Page 59: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 59

-1.04038E-16 1.658397E-14 1.159968E-14 1.2901232E-14 6.3585556E-15 5.0937912E-15 2.4561796E-15 7.5484427E-16 -5.000354E-17 0-2.018851E-16 3.2181094E-14 2.2509109E-14 2.5034763E-14 1.2338739E-14 9.8844716E-15 4.7662019E-15 1.4647708E-15 -9.703156E-17 0-6.271792E-16 6.8675039E-14 5.3428941E-14 5.8045373E-14 2.8826198E-14 2.3368679E-14 1.1241333E-14 3.4547376E-15 -2.28854E-16 0-2.148422E-15 1.5649437E-13 1.4151028E-13 1.4919729E-13 7.4827574E-14 6.158507E-14 2.9536342E-14 9.0772428E-15 -6.013085E-16 0-4.707247E-15 1.8832881E-13 2.2465289E-13 2.2611047E-13 1.1519233E-13 9.7038383E-14 4.6328812E-14 1.4237981E-14 -9.431739E-16 0-7.095642E-15 1.0185531E-13 2.2845982E-13 2.1391326E-13 1.1177558E-13 9.7593546E-14 4.6276726E-14 1.4221974E-14 -9.421135E-16 0-1.222552E-14 1.3583916E-14 2.2973798E-13 1.9919054E-13 1.0713634E-13 9.7062694E-14 4.5707358E-14 1.4046993E-14 -9.305222E-16 0-2.948292E-14 -8.423692E-14 3.1588845E-13 2.5534316E-13 1.4136008E-13 1.3221956E-13 6.1891108E-14 1.9020656E-14 -1.259995E-15 0

1 -1.929661E-13 3.3300061E-13 2.5025297E-13 1.4321706E-13 1.3813555E-13 6.4280866E-14 1.9755088E-14 -1.308646E-15 04.12703062591 1 4.174784E-13 3.0508037E-13 1.8063969E-13 1.7261126E-13 7.9293648E-14 2.4464283E-14 -1.591513E-15 08.55075073283 4.53692725785 1 1.7563576E-13 1.1430264E-13 9.1999686E-14 3.9130291E-14 1.2458518E-14 -6.933313E-16 09.22344032265 6.74256041261 3.02348284866 1 7.6080306E-14 4.3983927E-14 1.4859435E-14 5.0522078E-15 -1.399253E-16 016.2909346213 13.3219257162 7.7172767686 3.92319063369 1 6.2166581E-14 1.7045676E-14 5.8907849E-15 -8.104138E-18 025.7441803566 22.3259789067 14.8918634294 9.27799000315 3.89617964381 1 2.1852163E-14 7.3824874E-15 1.4764975E-16 048.7921265344 43.7561569747 31.7390266164 22.1345462276 11.6767139379 4.80366096597 1 1.2245253E-14 4.1745179E-16 072.7725494086 66.9368464648 51.8484086958 39.3502361044 24.2867693499 12.9601719446 4.8036613274 1 7.2896468E-16 0

96.028908148 90.0557948537 73.4717664631 59.4858117174 41.1462833119 25.9647037464 12.9601728917 4.80366145519 1 01 1 1 1 1 1 1 1 1 1

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 60: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 60

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.12400944098 0 0 0 0 0 0 0 0 0-0.5117907608 0.14264569201 0 0 0 0 0 0 0 01.26158363474 -0.6471731283 0.18442777604 0 0 0 0 0 0 0-1.5073900367 0.99491965751 -0.5576142177 0.24835849927 0 0 0 0 0 00.97559719961 -0.8091606461 0.76434668445 -0.9743577381 0.30104201706 0 0 0 0 0-0.3691751357 0.37468973237 -0.550966109 1.49200511167 -1.1729137788 0.34696232164 0 0 0 00.04889319128 -0.0746223463 0.21057639335 -1.2870928178 2.11909861922 -1.6666893611 0.38442143611 0 0 0-0.0061709065 0.01063574055 -0.0544693839 0.73715126947 -2.2896058695 3.50951988211 -1.8466303861 0.42206960411 0 0-0.0019227434 0.00055165053 0.0080924559 -0.2821577922 1.60220564733 -4.2667369995 3.8884189323 -2.0274794887 0.45951235231 0-0.0136338836 0.00751364771 -0.0043935991 0.0660934677 -0.5598266353 2.07694415684 -2.4262099823 1.60540988456 -0.4595123523 1

11 12 13 14 15 16 17 18 19 20-1.282439E-19 2.0442459E-17 1.4298505E-17 1.5902881E-17 7.8379613E-18 6.278932E-18 3.0276437E-18 9.304692E-19 -6.163755E-20 0-2.721462E-19 4.3380927E-17 3.0342847E-17 3.3747492E-17 1.6632932E-17 1.3324517E-17 6.4249604E-18 1.974548E-18 -1.30801E-19 0-5.367051E-19 8.5552409E-17 5.9839746E-17 6.6554116E-17 3.2802143E-17 2.6277551E-17 1.2670795E-17 3.8940463E-18 -2.579553E-19 0-6.069894E-19 9.6755932E-17 6.7676065E-17 7.5269716E-17 3.7097751E-17 2.971873E-17 1.43301E-17 4.4039915E-18 -2.917359E-19 0-5.977813E-18 -1.83708E-16 6.7384527E-17 2.4883155E-17 2.0169848E-17 2.6188747E-17 1.165368E-17 3.5814617E-18 -2.372486E-19 0-6.410597E-18 -1.848859E-16 7.8652835E-17 3.4325343E-17 2.5311615E-17 3.092701E-17 1.387828E-17 4.2651361E-18 -2.825376E-19 0-1.585039E-17 -2.535725E-16 9.7388084E-17 3.8095818E-17 2.9865161E-17 3.7994481E-17 1.6953999E-17 5.2103799E-18 -3.451539E-19 0-2.155202E-17 -3.306277E-16 1.2594457E-16 4.8783433E-17 3.8460561E-17 4.9102539E-17 2.1900086E-17 6.7304339E-18 -4.458476E-19 0

-2.15709E-16 -2.740484E-16 1.0572874E-16 3.8414303E-17 3.7080475E-17 4.1461484E-17 1.8518196E-17 5.691096E-18 -3.769982E-19 0-2.418053E-16 -2.831809E-16 1.1784339E-16 4.6760327E-17 4.2715318E-17 4.6485032E-17 2.0849126E-17 6.407448E-18 -4.244519E-19 0

0.12400944098 -2.580459E-16 1.1726085E-16 5.0823025E-17 4.385168E-17 4.6540389E-17 2.096605E-17 6.4433816E-18 -4.268322E-19 00.07691237875 0.14264569201 3.1358127E-16 1.1870374E-15 9.2794176E-16 1.9077912E-16 -1.4381648E-17 9.1884407E-18 3.5404319E-18 00.16767625517 0.18956227593 0.18442777604 1.6386244E-15 1.2774088E-15 2.9987102E-16 1.9704963E-18 1.8689657E-17 4.2756911E-18 00.12137347651 0.13963669935 0.1932934452 0.24835849927 1.0713043E-15 7.3257917E-16 1.1631218E-16 9.9017888E-18 3.0657052E-18 0

Page 61: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 61

0.08922977163 0.09941813695 0.14161733942 0.20668748356 0.30104201706 5.9471132E-16 1.0192092E-16 8.2135172E-18 2.0647518E-18 00.05182601138 0.05573441713 0.07530100847 0.10955371217 0.17891375594 0.34696232164 5.7279538E-17 5.6442946E-18 1.0972821E-18 00.04137184147 0.04325392452 0.05379572588 0.07200185444 0.11415659883 0.17994088599 0.38442143611 2.0170836E-17 -5.484977E-18 00.03499068025 0.03586586445 0.04144979538 0.05009427796 0.07224641221 0.10902821981 0.18084904866 0.42206960411 -2.307267E-18 00.03071232518 0.0311210137 0.03422401911 0.03791447432 0.04848607808 0.06652855312 0.10445365224 0.17986228629 0.45951235231 00.26189781868 0.26276197596 0.2758908905 0.27538969827 0.28515513788 0.29754001944 0.33027586299 0.3980681096 0.54048764769 1

11 12 13 14 15 16 17 18 19 201.4410439E-14 -7.311119E-15 0 -8.5521192E-15 0 -4.93121E-15 0 0 0 0

0 0 0 0 0 0 0 0 0 00 -4.2562E-15 0 4.7927607E-15 0 0 0 0 0 00 0 -5.520532E-15 0 0 0 0 0 0 0

-2.710289E-14 5.9025503E-14 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

2.0679144E-14 -4.367562E-15 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

8.06390216846 5.4540302E-15 0 0 0 0 0 0 0 0-4.3479329032 7.01037645049 2.1886452E-14 -1.5381341E-14 -1.756772E-14 0 0 0 0 0-2.8624802202 -7.2055464942 5.42217675394 0 0 0 0 0 0 00.73154662819 1.66645828066 -4.2199933899 4.02643760106 0 -5.578473E-15 0 0 0 0-0.1099562752 -0.0696391524 0.34661463432 -2.7644455203 3.32179544155 0 0 0 0 0-0.0591236842 -0.0525752082 -0.0230387049 0.15415548537 -1.7129090447 2.88215733415 0 0 0 0-0.0547467665 -0.0472829463 -0.0605203693 -0.0053851067 -0.1846476077 -1.3490869539 2.60131175336 0 0 0-0.0472081705 -0.0401127486 -0.0590787359 -0.0422054096 -0.0470041778 -0.1664545148 -1.1146141567 2.36927746103 0 0-0.0405767186 -0.0342150135 -0.0520018496 -0.0451026604 -0.0421361402 -0.0454608197 -0.1550327479 -0.9273823845 2.17622006238 0-0.2734240583 -0.227463168 -0.3541583386 -0.3234543895 -0.3350984712 -0.3211550458 -0.3316648487 -0.4418950765 -1.1762200624 1

Page 62: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 62

11 12 13 14 15 16 17 18 19 201.4410439E-14 -7.311119E-15 0 -8.5521192E-15 0 -4.93121E-15 0 0 0 0

0 0 0 0 0 0 0 0 0 00 -4.2562E-15 0 4.7927607E-15 0 0 0 0 0 00 0 -5.520532E-15 0 0 0 0 0 0 0

-2.710289E-14 5.9025503E-14 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

2.0679144E-14 -4.367562E-15 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

8.06390216846 5.4540302E-15 0 0 0 0 0 0 0 0-4.3479329032 7.01037645049 2.1886452E-14 -1.5381341E-14 -1.756772E-14 0 0 0 0 0-2.8624802202 -7.2055464942 5.42217675394 0 0 0 0 0 0 00.73154662819 1.66645828066 -4.2199933899 4.02643760106 0 -5.578473E-15 0 0 0 0-0.1099562752 -0.0696391524 0.34661463432 -2.7644455203 3.32179544155 0 0 0 0 0-0.0591236842 -0.0525752082 -0.0230387049 0.15415548537 -1.7129090447 2.88215733415 0 0 0 0-0.0547467665 -0.0472829463 -0.0605203693 -0.0053851067 -0.1846476077 -1.3490869539 2.60131175336 0 0 0-0.0472081705 -0.0401127486 -0.0590787359 -0.0422054096 -0.0470041778 -0.1664545148 -1.1146141567 2.36927746103 0 0-0.0405767186 -0.0342150135 -0.0520018496 -0.0451026604 -0.0421361402 -0.0454608197 -0.1550327479 -0.9273823845 2.17622006238 0-0.2734240583 -0.227463168 -0.3541583386 -0.3234543895 -0.3350984712 -0.3211550458 -0.3316648487 -0.4418950765 -1.1762200624 1

Page 63: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 63

11 12 13 14 15 16 17 18 19 204.6574352E-19 1.6992121E-17 1.3694163E-17 1.8022342E-17 5.9681227E-18 1.1573809E-17 0 0 0 09.8835397E-19 3.6058967E-17 2.9060372E-17 3.8245198E-17 1.2664949E-17 2.4560772E-17 0 0 0 0-3.280376E-18 6.9835529E-17 3.8263957E-17 5.0951583E-17 2.4976803E-17 4.8436799E-17 0 0 0 02.1376628E-17 1.0933154E-16 6.5160674E-17 4.7118624E-17 2.8247643E-17 5.4779844E-17 0 0 0 0-2.134259E-17 -2.115042E-16 5.5400333E-17 3.4495262E-17 2.2971854E-17 4.4548659E-17 0 0 0 0-1.734362E-17 -2.092464E-16 6.8013993E-17 3.9680453E-17 2.7357011E-17 5.3052667E-17 0 0 0 0-2.412503E-17 -2.860285E-16 8.4562686E-17 4.7984977E-17 3.3419899E-17 6.4810252E-17 0 0 0 0-3.199671E-17 -3.736622E-16 1.0951831E-16 6.3180431E-17 4.3169677E-17 8.3717719E-17 0 0 0 0

-2.12906E-16 -2.563269E-16 9.2320984E-17 5.472453E-17 3.650326E-17 7.0789727E-17 0 0 0 0-2.376599E-16 -2.617176E-16 1.0274563E-16 6.3568206E-17 4.1098014E-17 7.9700201E-17 0 0 0 0

0.12400944098 -3.327454E-16 1.0204793E-16 6.578177E-17 4.1328495E-17 8.0147167E-17 0 0 0 00.07691237875 0.14264569201 2.6908719E-16 1.1020141E-15 7.7855159E-16 4.6838132E-17 0 0 0 00.16767625517 0.18956227593 0.18442777604 1.5341556E-15 1.0761771E-15 1.4283493E-16 0 0 0 00.12137347651 0.13963669935 0.1932934452 0.24835849927 1.0487414E-15 6.0167003E-16 0 0 0 00.08922977163 0.09941813695 0.14161733942 0.20668748356 0.30104201706 5.0832326E-16 0 0 0 00.05182601138 0.05573441713 0.07530100847 0.10955371217 0.17891375594 0.34696232164 0 0 0 00.04137184147 0.04325392452 0.05379572588 0.07200185444 0.11415659883 0.17994088599 0.38442143611 0 0 00.03499068025 0.03586586445 0.04144979538 0.05009427796 0.07224641221 0.10902821981 0.18084904866 0.42206960411 0 00.03071232518 0.0311210137 0.03422401911 0.03791447432 0.04848607808 0.06652855312 0.10445365224 0.17986228629 0.45951235231 00.26189781868 0.26276197596 0.2758908905 0.27538969827 0.28515513788 0.29754001944 0.33027586299 0.3980681096 0.54048764769 1

Page 64: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 64

0

Page 65: CERRO VERDE-HPGRSim_Open.xlsx

Model (Center)

Page 65

Fresh MillFeed Discharge

1 54.52 1 0.368780136182 338.71 2 4.950237049593 367.36 3 18.32733341134 339.44 4 34.86004150835 131.37 5 36.35327832176 163.55 6 51.2018568277 54.52 7 66.57032942428 6.91 8 86.72080259159 0.59 9 72.6865003507

10 0.15 10 78.753353347511 0.29 11 75.875367182712 0.15 12 43.045808875413 0.44 13 125.91346949614 0.44 14 104.02758811315 0.29 15 92.035311198516 0.73 16 61.036993451517 0.29 17 52.752930211218 0.73 18 47.055527175319 0.44 19 42.394666268720 8.38 20 374.367086716

1469.29726166 1469.29726166