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Reservoir EngineeringFluid Flow in Porous Media

Hydraulic Diffusivity Coefficient in Field Units Formula

η=0.0002637kϕμct\eta=\frac{0.0002637k}{\phi\mu c_t}

Hydraulic Diffusivity Coefficient in Field Units calculates hydraulic diffusivity coefficient for fluid flow in porous media workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, phi, mu, c_t) are known and the assumptions behind the cited fluid flow in porous media 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, eta_h equals 6,104.166667 ft^2/hr.

kmD

50

phifraction

0.18

mucP

1.2

c_t1/psi

0.00001

Inputs

k

mD

Effective Permeability

phi

fraction

Porosity

mu

cP

Fluid Viscosity

c_t

1/psi

Total Compressibility

Outputs

eta_h

ft^2/hr

Hydraulic Diffusivity Coefficient

k

mD

Effective Permeability

phi

fraction

Porosity

mu

cP

Fluid Viscosity

c_t

1/psi

Total Compressibility

Source and review

reviewed

PetroSkills, The Diffusivity Equation, reservoir diffusivity-equation derivation; Lee, Rollins and Spivey field-unit dimensionless-time constant.

Source

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