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  • www.senergyworld.com

    Improved Workflow for Evaluation of Thinly Bedded Sandstones Revisiting the Normalised Qv equation of Juhasz

    Jan van der Wal & Simon Stromberg

  • Thin Beds Introduction 2/19

    What are Thin Beds?

    Laminations of sand and shale, with..

    .. beds so thin that logs do not read true properties.

    Why do we care? In Thin Beds..

    .. conventional evaluation can miss pay,

    .. phi & perm are too low,

    .. resistivity reads too low, and

    .. saturation height functions give too low HC

  • Case Study data where is the HC?

    Vshale

    Original

    Publication

    Neutron &

    Density

    Deep Res

  • What steps in Thin Bed workflow? 4/19

    Aim: properties of sand lamination

    1. Thomas Stieber (1975)

    , Vsand, Vsh.disp

    2. Resistivity of the sand lamination

    3D-res 2000s

    Rsand

    3. Saturation computation

    Juhasz 1981

  • Definitions

    Shale types:

  • Step 1 6/19 Thomas & Stieber, 1975

    2 endpoints + 1 P

    oro

    sit

    y

    Volume of Shale

    Clean Sand

    Pure Shale

  • Step 2: 7/19

    Resistivity of Sand Laminations 3D-res

    2a) Tensor Model

    Horizontal and Vertical, or

    Parallel Conductivity and Serial Resistivity

    2b) Anisotropy Model

    Smart Tensor Model;

    Inputs Thomas Stieber

    Res HOR

    +

    Re

    s V

    ER

  • Step 3 8/19

    Saturation Calculation

    Which saturation equation?

    Conventional (deterministic):

    Laminated Shaly sand eqs:

    Poupon, Indonesia, Simandoux

    Thin Beds (dispersed clay/shale in sand lamination) :

    Dispersed Shaly sand eqs:

    Dual Water, Waxman Smits, Normalised Qv Juhasz

    sh

    shn

    w

    m

    w

    sh

    t R

    VS

    R

    V

    R

    11

    Poupon, parallel conductor

  • Saturation from Resistivity 9/19

    Waxman Smits equation

    For waterleg assume SWT = 1, (and a*=1):

    Shale corr Archie

  • Waxman Smits in Xplot 10/19

    Y = a X + b

    Slope B

    Y =

    X =

    (cousin of Pickett-plot)

  • Juhasz 11/19

    Juhasz: if no core Qv available,

    Qv = f(Vshale)

    100% Shale

    1/Rw_shale

    1/Rw ~ C

    onductivity

    Qv_shale

  • Juhasz Normalised Qv 12/19

    Juhasz: Qv = f(Vsh), or Qv = f(Phi), f(1/Phi)

    Qv = f(1/Phi, Vsh) = f(RPD), (similar to ~Qvn)

    Relative Porosity Difference

    Assume Qv = RPD*C, substitute

  • To better pick BC 13/19

    1/Rw

    RPD

    Slope B*C

    = CWA

  • To better pick Rw 14/19

    Terms divided by RPD:

    BC

    1/RPD

    Slope 1/Rw

    CWA/RPD

  • Data Example 15/19

    BC Rw

  • RPD in Thin Beds? 16/19

    RPD of Bulk not good enough

    We require RPD of sand lamination (RPDs)

    RPDs = f(1/PHIs, Vsh.disp), or

  • BVirr

    H20 HC

    POROSITY

    Conv

    POROSITY

    Conv &

    Par.Cond.

    POROSITY

    Thin Beds &

    3D-Res

    Vshale

    Original

    Publication

    Neutron &

    Density

    H+V Res &

    Parallel

    Conductor

    Case Study, data of Clavaud

  • Summary Workflow 18/19

    In case of: 3D resistivity, no core, water leg

    Optimise Thomas Stieber with Tensor Model

    Resistivity Sand from Anisotropy model

    Relate Qv to RPD

    Compute RPD for sand lamination only

    New Xplots for picking Rw and BQv

  • Conclusions 19/19

    Workflow can be based on log data only

    New form of Norm Qv of Juhasz applied to thin beds

    Qv estimate refined

    Conventional: low HC

    Conventional with 3D res (Parallel Res): more HC

    Thin Beds with 3D res: most HC

  • References

    Clavaud, J. B., Nelson. R., Guru, U. K. and Wang, H., 2005, Field Example of Enhanced

    Hydrocarbon Estimation in Thinly Laminated Formation with a Triaxial Array Induction Tool: A

    Laminated Sand- Shale Analysis with Anisotropic Shale, SPWLA 46th Annual Logging Symposium,

    June 26-29, 2005.

    Thomas, E. C., Stieber, S. J., 1975, The distribution of shale in sandstones and its effect on

    porosity. Transactions of the SPWLA 16th Annual Logging, Symposium, June 4-7, 1975.

    Juhasz, I., 1981, Normalised Qv. The Key to Shaly Sand Evaluation using the Waxman-Smits

    Equation in the Absence of Core Data. SPWLA 22nd Annual Logging Symposium, June 23rd-26th,

    1981.

    Cao-Minh, C., Clavaud, J., Sundararaman, P., Froment, S., Caroli, E., Billon, O., Davis, G. &

    Fairbairn, R., Graphical Analysis of Laminated Sand-Shale Formations in the Presence of

    Anisotropic Shales, 2008, PETROPHYSICS, Vol 49, No. 5, October 2008, pp. 395405.

    Stromberg S., Nieuwenhuijs R., Blumhagen, C., Edwards, J., Ramamoorthy R., Herold, B.,

    2007, Reservoir Quality, Net-to-Gross and Fluid Identification in Laminated Reservoirs from a new

    generation of NMR logging tools. Examples from the Gharif Formation, Southern Oman.

    Transactions of the SPWLA 1st Annual SPWLA Middle East Regional Symposium April 15- 19.

    Waxman, M.H. & Thomas, E. C., 1974. Electrical Conductivities in Shaly Sands-I. The Relation

    between Hydrocarbon Saturation and Resistivity Index; II. The Temperature Coefficient of Electrical

    Conductivity. J. Pet Tech. 213-23. Trans., AIME, 257.

  • What is RPD?

    Middle East for Carbonate stringers (PDO)

    Shaliness indicator

    Combines 1/PHIT and Vshale (~ Neu-Den separation)

    RPD= (Neu + Co PhiT)/ PhiT

    How to get Co

    Use ND overlay

    For clean sand: RPDs ~ 0

    Clean but conduct: RPDs > 0

  • What if no 3D resistivity available?

    Make cases for vertical resistivity

    Check with Thomas Stieber

    Simplest: Rv = Rh * C

    Better: Rv = Rh * C * Vsh_lam, or

    Rv = RH + (RH RshH)*RatioMax*Vshl

    RV = RH + 1/ ((1/RshH 1/RH) * Vshl)

  • What is Parallel Conductor model?

    Ct = Vsand * Csand + Vsh.lam * Cshale, or

    1/ RT = Vsand / Rsand + (1-Vsand) / Rsh.hor

    Res HOR

  • When to apply Thin Beds

    Neutron Density Data

    Intermediate GR?

    Dispersed, Laminated, or

    Both?

    3

    2

    3 < Neutron > 2

    GR

  • When to apply Thin Beds

    Conductive dispersed shale?

    3

    2

    3 < Neutron > 2

    DeepRes

  • What if you do have core?

    Are plugs of the sand lamination?

    Porosity:

    Calibrate Clean Sand endpoint to match the high porosity

    Optimise input PHIT

    Calibrate BC & RPD to match the predicted QV curve