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Reservoir EngineeringWaterflooding and EOR

Steady-State Five-Spot Steam-Drive Injection Rate Formula

i=(7.082×1032π)(πk(h/μ)ln(208.71A/rw)0.964)(PiPb)i=\left(\frac{7.082\times10^{-3}}{2\pi}\right)\left(\frac{\pi k(h/\mu)}{\ln(208.71\sqrt{A}/r_w)-0.964}\right)(P_i-P_b)

Steady-State Five-Spot Steam-Drive Injection Rate calculates injection rate for waterflooding and eor workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, h, mu, A, r_w, P_i, P_b) are known and the assumptions behind the cited waterflooding and eor 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, i equals 9,057.750955 BBL/d.

kmD

500

hft

50

mucP

2

Aacre

40

r_wft

0.33

P_ipsi

2500

P_bpsi

1000

Inputs

k

mD

Permeability

h

ft

Pay Zone Thickness

mu

cP

Viscosity

A

acre

Area Per Pattern

r_w

ft

Wellbore Radius

P_i

psi

Injection Pressure

P_b

psi

Borehole Pressure

Outputs

i

BBL/d

Injection Rate

k

mD

Permeability

h

ft

Pay Zone Thickness

mu

cP

Viscosity

A

acre

Area Per Pattern

P_i

psi

Injection Pressure

P_b

psi

Borehole Pressure

Source and review

reviewed

Thermal Recovery Monograph Vol. 7, Pratts, M. (1986)

Pratts, M. 1986. Thermal Recovery Monograph Vol. 7. Society of Petroleum Engineers, Houston, Page 83.

Source

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