Production EngineeringHydraulic FracturingCalculation record

Hydraulic Fracture Efficiency from Saydam Leakoff Function Calculator

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

Enter the declared production engineering inputs below to solve eta_pct. Variable definitions, units, the default calculation, and the available source trail are included on this page.

Tabular solver

Extended guidance in preparation

What is available in this record

This record provides the functioning calculator, formula, declared variables and units, a reproducible default result, and the available citation metadata. A separately written engineering interpretation has not yet been published for this calculation.

Formula reference

Formula, variables, and default calculation

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

Reproducible default result

With the default values shown below, the calculation returns eta_pct = 39.998415 percent. Defaults demonstrate the implementation; they are not recommended field values.

C_Lm/sqrt(min)

0.0004

tmin

W_fm

0.006

Input definitions

C_L

m/sqrt(min)

Fracture Fluid Leakoff Coefficient

t

min

Injection Time

W_f

Fracture Width

Output definitions

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 record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewed

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

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

source conflict

Open source reference