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Carter Leakoff Volume for Hydraulic Fracturing Formula

VL=AL(2CLt+Sp)V_L=A_L\left(2C_L\sqrt{t}+S_p\right)

Carter Leakoff Volume for Hydraulic Fracturing calculates leakoff volume for hydraulic fracturing workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (A_L, C_L, t, S_p) 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, V_L equals 1,329.516003 ft^3.

A_Lft^2

20000

C_Lft/min^0.5

0.003

tmin

60

S_pft

0.02

Inputs

A_L

ft^2

Leakoff Area

C_L

ft/min^0.5

Carter Leakoff Coefficient

t

min

Elapsed Exposure Time

S_p

ft

Instantaneous Spurt Loss

Outputs

V_L

ft^3

Leakoff Volume

A_L

ft^2

Leakoff Area

C_L

ft/min^0.5

Carter Leakoff Coefficient

t

min

Elapsed Exposure Time

S_p

ft

Instantaneous Spurt Loss

Source and review

reviewed

Espinoza, D.N. Introduction to Energy Geomechanics, Section 7.3.2.3, Carter leak-off equation.

Source

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