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Hydraulic Fracture Efficiency from Saydam Leakoff Function Formula

η=100exD2erfc(xD)+2xD/π1xD2\eta=100\frac{e^{x_D^2}\operatorname{erfc}(x_D)+2x_D/\sqrt{\pi}-1}{x_D^2}

Hydraulic Fracture Efficiency from Saydam Leakoff Function calculates hydraulic fracture efficiency for hydraulic fracturing workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (C_L, t, W_f) are known and the assumptions behind the cited hydraulic fracturing 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, eta_pct equals 39.998415 percent.

C_Lm/sqrt(min)

0.0004

tmin

60

W_fm

0.006

Inputs

C_L

m/sqrt(min)

Fracture Fluid Leakoff Coefficient

t

min

Injection Time

W_f

m

Fracture Width

Outputs

eta_pct

percent

Hydraulic Fracture Efficiency

eta_frac

fraction

Hydraulic Fracture Efficiency Fraction

x_D

dimensionless

Saydam Leakoff Parameter

F_L

dimensionless

Saydam Leakoff Function

Source and review

reviewed

Principles of Hydraulic Fracturing, Saydam, T. (1967)

Saydam, T. 1967. Principles of Hydraulic Fracturing, ARI Publishing Co., Page 23.

source conflict
Source

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