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Reservoir EngineeringPermeability

Geometric Mean Permeability from Log Average Formula

kg=exp(lnk1+lnk2+lnk33)k_g=\exp\left(\frac{\ln k_1+\ln k_2+\ln k_3}{3}\right)

Geometric Mean Permeability from Log Average calculates geometric mean permeability for permeability workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (k1, k2, k3) are known and the assumptions behind the cited permeability 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, k_g equals 76.630943 mD.

k1mD

20

k2mD

75

k3mD

300

Inputs

k1

mD

Permeability Sample 1

k2

mD

Permeability Sample 2

k3

mD

Permeability Sample 3

Outputs

k_g

mD

Geometric Mean Permeability

k1

mD

Permeability Sample 1

k2

mD

Permeability Sample 2

k3

mD

Permeability Sample 3

Source and review

reviewed

Estimation of the Effective Permeability of Heterogeneous Porous Media by Using Percolation Concepts, Masihi, M., Gago, P.A., King, P.R. (2016)

Masihi, M., Gago, P.A., and King, P.R. 2016. Estimation of the Effective Permeability of Heterogeneous Porous Media by Using Percolation Concepts. Transport in Porous Media 114, 169-199.

Source

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