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Reservoir EngineeringWell Performance

Efros Horizontal Well Critical Rate Formula

qo=4.888×104khh2(ρwρo)LBoμoGEq_o=4.888\times10^{-4}\frac{k_hh^2(\rho_w-\rho_o)L}{B_o\mu_oG_E}

Efros Horizontal Well Critical Rate calculates critical oil rate for well performance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (rho_o, rho_w, y_e, h, mu_o, B_o, k_h, L) 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, q_o equals 10.174011 STB/day.

rho_og/cc

0.8

rho_wg/cc

1.0

y_eft

500

hft

50

mu_ocP

2

B_oRB/STB

1.2

k_hmD

100

Lft

1000

Inputs

rho_o

g/cc

Oil Density

rho_w

g/cc

Water Density

y_e

ft

Half of Horizontal Well Spacing

h

ft

Oil Column Thickness

mu_o

cP

Oil Viscosity

B_o

RB/STB

Oil Formation Volume Factor

k_h

mD

Horizontal Permeability

L

ft

Length of Reservoir

Outputs

q_o

STB/day

Critical Oil Rate

k_h

mD

Horizontal Permeability

L

ft

Length of Reservoir

B_o

RB/STB

Oil Formation Volume Factor

mu_o

cP

Oil Viscosity

rho_w

g/cc

Water Density

rho_o

g/cc

Oil Density

Source and review

reviewed

Joshi, S.D. 1991. Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company, pages 286-295.

Source

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