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Reservoir EngineeringPermeability and Flow

Buckley-Leverett Breakthrough Pore Volumes Formula

tD,bt=(dfwdSw)shock1t_{D,bt} = \left(\frac{df_w}{dS_w}\right)_{shock}^{-1}

Buckley-Leverett Breakthrough Pore Volumes calculates dimensionless breakthrough time for permeability and flow workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (dfw_dSw_shock) are known and the assumptions behind the cited permeability and flow 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, t_D_bt equals 0.4 pore volumes.

dfw_dSw_shock1/fraction

2.5

Inputs

dfw_dSw_shock

1/fraction

Fractional Flow Derivative at Shock Front Saturation

Outputs

t_D_bt

pore volumes

Dimensionless Breakthrough Time

dfw_dSw_shock

1/fraction

Fractional Flow Derivative at Shock Front Saturation

Source and review

reviewed

FVTool. Two-phase flow in porous media: analytical vs numerical solution.

Source

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