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Reservoir EngineeringPressure Transient Analysis

Fracture Conductivity During Bilinear Flow Formula

FC=[44.1QμBmbfh(ϕμctk)0.25]2F_C=\left[\frac{44.1 Q \mu B}{m_{bf} h (\phi \mu c_t k)^{0.25}}\right]^2

Fracture Conductivity During Bilinear Flow calculates fracture conductivity for pressure transient analysis workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (Q, B, mu, m_bf, h, phi, c_t, k) are known and the assumptions behind the cited pressure transient analysis 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, F_C equals 148,520.340625 mD*ft.

QSTB/day

500

Bbbl/STB

1.2

mucP

1.5

m_bfpsi/cycle

100

hft

50

phifraction

0.12

c_t1/psi

0.00001

kmD

0.1

Inputs

Q

STB/day

Flow rate

B

bbl/STB

Formation volume factor

mu

cP

Fluid viscosity

m_bf

psi/cycle

Bilinear-flow buildup-test slope

h

ft

Formation thickness

phi

fraction

Porosity

c_t

1/psi

Total compressibility

k

mD

Reservoir permeability

Outputs

F_C

mD*ft

Fracture conductivity

Q

STB/day

Flow rate

B

bbl/STB

Formation volume factor

m_bf

psi/cycle

Bilinear-flow buildup-test slope

h

ft

Formation thickness

k

mD

Reservoir permeability

Source and review

reviewed

Ahmed, T. and McKinney, P. D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 1, Page 95.

Source

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