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Pseudo-Steady State Horizontal Well Productivity Method 3 Formula

Jh=khh70.6μo(F+h0.5Lkhkvsx)J_h=\frac{k_hh}{70.6\mu_o\left(F+\frac{h}{0.5L}\sqrt{\frac{k_h}{k_v}}s_x\right)}

Pseudo-Steady State Horizontal Well Productivity Method 3 calculates pseudo-steady state horizontal well productivity index for well performance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k_h, k_v, h, mu_o, F, L, s_x) are known and the assumptions behind the cited well performance 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, J_h equals 13.45161 STB/day/psi.

k_hmD

100

k_vmD

10

hft

50

mu_ocP

2

Fdimensionless

2

Lft

1000

s_xdimensionless

2

Inputs

k_h

mD

Horizontal Permeability

k_v

mD

Vertical Permeability

h

ft

Reservoir Thickness

mu_o

cP

Oil Viscosity

F

dimensionless

Shape and Drainage Geometry Factor

L

ft

Fracture Length

s_x

dimensionless

Pseudo-Skin Factor

Outputs

J_h

STB/day/psi

Pseudo-Steady State Horizontal Well Productivity Index

F

dimensionless

Shape and Drainage Geometry Factor

s_x

dimensionless

Pseudo-Skin Factor

mu_o

cP

Oil Viscosity

L

ft

Fracture Length

Source and review

reviewed

Joshi, S.D. 1991. Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company.

Source

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