TheisMatchFt com

8/3/2019 TheisMatchFt com

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Well Function Calculator

Enter u in the yellow cell and W(u) will be calculated in the adjacent collumn

Multiple u values can be enterred below

u W(u) 1/u W(u) Cooper-Jacob

1 0.2193839 4.558218918 -0.577215665

0.00001 10.93572 100000 10.9357098

0.00005 9.3263219 20000 9.326271888

0.0001 8.6332247 10000 8.633124707

0.0002 7.9401775 5000 7.9399775270.0002 7.9401775 5000 7.939977527

0.0005 7.0241867 2000 7.023686795

0.001 6.3315394 1000 6.330539614

0.002 5.6393914 500.0 5.637392434

0.004 4.9482413 250.0 4.944245253

0.007 4.3916172 142.9 4.384629465

0.01 4.0379296 100.0 4.027954521

0.015 3.6374333 66.67 3.622489413

0.02 3.3547078 50.00 3.3348073410.04 2.6812637 25.00 2.64166016

0.06 2.2953069 16.67 2.236195052

0.08 2.026941 12.50 1.948512979

0.1 1.822924 10.00 1.725369428

0.2 1.2226505 5.000 1.032222248

0.3 0.9056767 3.333 0.626757139

0.4 0.7023801 2.500 0.339075067

0.7 0.3737688 1.429 -0.2205407211 0.2193839 1.000 -0.577215665

1.2 0.1584084 0.8333 -0.759537222

1.6 0.0863083 0.6250 -1.047219294

2 0.0489005 0.5000 -1.270362845

2.4 0.0284403 0.4167 -1.452684402

2 7 0 0191819 0 3704 1 570467438


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u 1/u W(u) W(u) Coop %error Wu CJ

1.00E-05 100000 10.9357198 1.09E+01 -9.14E-05

2.00E-05 50000 10.24258262 10.24256 -0.000195

5.00E-05 20000 9.326321887 9.326272 -0.000536

7.00E-05 14285.71 8.98986965 8.9898 -0.000779

1.00E-04 10000 8.633224705 8.633125 -0.001158

2.00E-04 5000 7.940177517 7.939978 -0.002519

5.00E-04 2000 7.024186732 7.023687 -0.0071181.00E-03 1000 6.331539364 6.33054 -0.015792

2.00E-03 500 5.639391434 5.637392 -0.03546

4.00E-03 250 4.948241257 4.944245 -0.080821

7.00E-03 142.8571 4.391617234 4.384629 -0.15937

1.50E-02 66.66667 3.63743335 3.622489 -0.412532

3.00E-02 33.33333 2.959118724 2.929342 -1.016491

5.00E-02 20 2.467898489 2.418517 -2.041825

8.00E-02 12.5 2.026941003 1.948513 -4.025019

1.20E-01 8.333333 1.659541752 1.543048 -7.5495961.80E-01 5.555556 1.309796135 1.137583 -15.13854

2.50E-01 4 1.044282634 0.809079 -29.07059

3.50E-01 2.857143 0.794215435 0.472606 -68.05006

5.00E-01 2 0.559773595 0.115932 -382.8485

5.61E-01 1.783167 0.492204854 0.001175 -41779.85

1.00E+00 1 0.219383934 -0.57722 138.00727

1.40E+00 0.714286 0.116219313 -0.91369 112.7198

2.00E+00 0.5 0.048900511 -1.27036 103.849332.50E+00 0.4 0.024914918 -1.49351 101.66822

3.00E+00 0.333333 0.013048381 -1.67583 100.77862

3.50E+00 0.285714 0.00697014 -1.82998 100.38089

4.00E+00 0.25 0.003779352 -1.96351 100.19248

4.50E+00 0.222222 0.002073401 -2.08129 100.09962

5 00E 00 0 2 0 001148296 2 18665 100 05251

0.001

0.01

0.1

1

10

0 1

W(u)

.


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mult = mult * -1

uuu = uu / (x * Fact)

WF = WF + mult * uuuuu = u * uu

x = x + 1

Wend

WellFunc = WF

End Function


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1 10 100 1000 10000

Theis Type Curve

W(u)

C-J Approx.


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0.01

0.1

1

10

0.1 1 10 100 1000 10000

W(u)

.

1/u

Theis Type Curve


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0.01

0.1

1

10

0.1 1 10 100 1000 10000

ho-h

.

Time

Data Plot


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Theis type curve matching (Match point method)

To minimize the Average % difference between the data and the Theis equation calculation

Use the arrows on the data plot to match the type curve to the data

(or use the solver tool)Minimize Type curve shifting

r = 32.5 ft Av. % difference course fine

Q= 163 ft /hr 60.32423 233 50

233 50

Field Data Theis eq. for comparison

t (hr) ho-h (ft) ho-h calcul %diff

0.01 0.867 0.043113 95.026780.02 1.879 0.239983 87.22767

0.05 3.657 0.885563 75.78671

0.1 5.193 1.629527 68.61979

0.2 6.811 2.512471 63.11318

0.5 9.013 3.79485 57.89696

0.7 9.831 4.283794 56.42646

1 10.701 4.808308 55.06838

2 12.398 5.839437 52.901945 14.648 7.215452 50.74222

7 15.475 7.722653 50.09751

10 16.353 8.260949 49.48236

20 18.058 9.308256 48.45287

50 20.312 10.69403 47.35246

100 22.018 11.74279 46.66823

1

10

100

ho-h(ft)

.


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11/21

Match Point Calculationsump = 1

W(u)mp = 1

tmp = 0.023988 S = 7.79E-04

(ho-h)mp = 1.513561 T = 8.57 ft /hr

u

3.3333332

1.2

0.72

0.432

0.2592

0.15552

0.093312

0.055987

0.033592

0.020155

0.012093

0.007256

0.004354

0.002612

0.001567

0.00094

0.0005640.000339

0.000203

0.000122

7.31E-05

4.39E-05

ata Plot and Theis Type Curve Match

Field Data

Type Curve

7.79E-04S=


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To minimize the Average % difference between the data and the modelUse the arrows on the data plot or enter values in the green cells or

Use the solver tool

Shifted Type Curve

Type Curve 4 2.2

1/u W(u) 1/u shift W(u) Shift

0.3 0.00857445 0.007196499 0.0129780.5 0.04890051 0.011994165 0.074014 0.001 0.001

0.833333 0.15840844 0.019990274 0.239761 0.002 0.002

1.388889 0.35991791 0.033317124 0.544758

2.314815 0.65159785 0.05552854 0.986233

3.858025 1.01626581 0.092547566 1.538181

6.430041 1.43344168 0.154245944 2.169602

10.71674 1.88577047 0.257076573 2.854229

17.86123 2.36062973 0.428460955 3.572958

29.76871 2.84955445 0.714101592 4.312975

49.61452 3.34712205 1.19016932 5.066074

82.69086 3.84995016 1.983615533 5.827135

137.8181 4.35596182 3.306025889 6.593015

229.6968 4.86389347 5.510043148 7.361801

382.828 5.3729807 9.183405247 8.132335

638.0467 5.88276256 15.30567541 8.903921

1063.411 6.39296166 25.50945902 9.676139

1772.352 6.90341128 42.51576503 10.448742953.92 7.41401126 70.85960838 11.22156

4923.2 7.92470149 118.0993473 11.99452

8205.334 8.43544587 196.8322455 12.76756

13675.56 8.94622275 328.0537425 13.54066

22792.59 9.45701913 546.7562375 14.31378


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Increment

Minimize S = 1.45E-04 S*10 =

r = 32.5 m Av. % difference Increment

Q= 163 ft3/hr 0.249225 T = 5.27 ft

2/hr

Field Data Model for comparison Model Fit (solid line on graph)

t (hr) ho-h (ft) ho-h calcul %diff t (hr) ho-h (ft)

0.01 0.867 0.875061 0.941271 0.01 0.87506077

0.02 1.879 1.890675 0.625295 0.015 1.4255805

0.05 3.657 3.671962 0.399774 0.02 1.89067489

0.1 5.193 5.208577 0.302856 0.03 2.631445330.2 6.811 6.827608 0.239465 0.05 3.67196174

0.5 9.013 9.029915 0.184964 0.07 4.40404463

0.7 9.831 9.847924 0.170283 0.1 5.20857652

1 10.701 10.71818 0.156925 0.15 6.14871312

2 12.398 12.41532 0.13594 0.2 6.82760751

5 14.648 14.66524 0.115312 0.3 7.79622684

7 15.475 15.49238 0.109194 0.5 9.02991533

10 16.353 16.36951 0.103369 0.7 9.84792406

20 18.058 18.07467 0.093642 1 10.71818350 20.312 20.32941 0.083266 1.5 11.7102173

100 22.018 22.03528 0.07682 2 12.4153192

3 13.4103205

5 14.6652409

7 15.4923837

10 16.3695069

15 17.3668881

20 18.0746662

30 19.0723453

50 20.3294095

70 21.1574713

100 22.0352839

150 23.0332014


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1.00E-06 To minimize the Average % difference between the data and the model

145 Change T and S using the arrows or entering values in the yellow cells or

0.01 Use the solver tool

599

0.001 0.001

0.002 0.002

0.1

1

10

100

0 01 0 1 1 10 100

ho-h(ft)

.

Data Plot

Field Data

Model Fit

1.45E-04

5.27

S=

T= m2/hr


16/211000


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0.1

1

10

100

0.01 0.1 1 10 100

ho-h(ft)

.

time (hr)

Data Plot

Field Data

Model Fit

1.45E-04

5.27

S=

T= m2/hr


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Cooper-Jacob Analysis

Minimize S =

r = 32.5 m Av. % difference

Q= 163 ft3/hr 3.676333 T =

Field Data Model for comparison Theis Fit

t (hr) ho-h (ft) ln(t) ho-h calcul %diff t (hr)

0.01 0.867 -4.605 0.849334 2.026345 0.01

0.02 1.879 -3.912 1.886668 0.412061 0.015

0.05 3.657 -2.996 3.737431 2.189861 0.02

0.1 5.193 -2.303 5.3467 2.962727 0.030.2 6.811 -1.609 7.047699 3.47074 0.05

0.5 9.013 -0.693 9.365557 3.908835 0.07

0.7 9.831 -0.357 10.22709 4.027017 0.1

1 10.701 0.000 11.14385 4.134597 0.15

2 12.398 0.693 12.93206 4.303693 0.2

5 14.648 1.609 15.30313 4.469985 0.3

7 15.475 1.946 16.17487 4.519315 0.5

10 16.353 2.303 17.09931 4.566284 0.7

20 18.058 2.996 18.89649 4.644727 150 20.312 3.912 21.27295 4.728413 1.5

100 22.018 4.605 23.07093 4.780397 2

3

5

7

10

15

20

30

50

70

100

150


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Set the data range of Slope and Intercept for the log-linear p

1.46E-04 S*10 = 146 If you change the range of the data plotted the log-linear tren

The T and S will be calculated below using the Slope and Int

5 ft2/hr

thin line on C-J Fit to = 0.012352 Slope of h 2.4428729 Intercept of

ho-h (m) D(ho-h) = T= 5.31 m2/hr S=

0.8493345 -0.51593

1.4089027 0.474574 0.001 0.001

1.8866684 1.177345 0.002 0.002

2.6533427 2.1678453.7374313 3.415727

4.5032422 4.237685

5.3466996 5.108997

6.333987 6.099497

7.0476993 6.802267

8.0667585 7.792767

9.3655569 9.040649

10.227087 9.862608

11.143849 10.7339212.189071 11.72442

12.932057 12.42719

13.980596 13.41769

15.303129 14.66557

16.174871 15.48753

17.09931 16.35884

18.150511 17.34934

18.89649 18.05211

19.948025 19.04261

21.272955 20.29049

22.145725 21.11245

23.070935 21.98376

24.122736 22.97426

y = 2.4428729ln(x) + 10.7338813

0

5

10

15

20

25

30

0.01 0.1 1 10

ho-h(ft)

.

time (hr)

Data Plot

Field Data

C-J Fit0.000139

5.31

Theis Fit

Log (Field Data)

S=

T= m2/hr


20/21

rtion of the data

d line formula should match the Slope and Intercept calsulated

rcept, respectively.

10.7338813

0.000139

S=

T= m2/hr

100 1000


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y = 2.4428729ln(x) + 10.7338813

0

5

10

15

20

25

30

35

0.01 0.1 1 10 100 1000

ho-h(ft)

.

time (hr)

Data Plot

Field Data

Theis Fit

0.000139

5.31

Log. (Field Data)

TheisMatchFt com

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