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Total Rock Conductivity from Water Saturation Formula

Ct=CwSwϕEC_t=C_wS_w\phi E

Total Rock Conductivity from Water Saturation calculates total conductivity of rock for electrical properties workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (C_w, S_w, phi, E) are known and the assumptions behind the cited electrical properties relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, C_t equals 0.0616 1/ohm m.

C_w1/ohm m

1

S_wfraction

0.35

phifraction

0.22

Efraction

0.8

Inputs

C_w

1/ohm m

Conductivity of Water

S_w

fraction

Water Saturation

phi

fraction

Porosity

E

fraction

Electrical Efficiency

Outputs

C_t

1/ohm m

Total Conductivity of Rock

C_w

1/ohm m

Conductivity of Water

S_w

fraction

Water Saturation

phi

fraction

Porosity

E

fraction

Electrical Efficiency

Source and review

reviewed

Well Logging for Earth Scientists, Ellis, D. V., Singer, J. M. (2008)

Ellis, D. V. and Singer, J. M. 2008. Well Logging for Earth Scientists, Second Edition, Springer, Chapter 4, Page 77.

Source

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