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Ideal Fracture Conductivity Created by Acid Reaction Formula

wa=Xit2xLh(1ϕ)w_a=\frac{Xit}{2x_Lh(1-\phi)}

Ideal Fracture Conductivity Created by Acid Reaction calculates opened channel width for hydraulic fracturing workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (X, i, t, x_L, h, phi) 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, w_a equals 0.0075 ft.

Xft^3/ft^3

0.1

ift^3/min

10

tmin

60

x_Lft

100

hft

50

phifraction

0.2

Inputs

X

ft^3/ft^3

Acid Dissolving Power

i

ft^3/min

Injection Rate

t

min

Injection Time

x_L

ft

Acid Penetration Distance

h

ft

Fracture Height

phi

fraction

Porosity

Outputs

w_a

ft

Opened Channel Width

X

ft^3/ft^3

Acid Dissolving Power

i

ft^3/min

Injection Rate

t

min

Injection Time

x_L

ft

Acid Penetration Distance

h

ft

Fracture Height

phi

fraction

Porosity

Source and review

reviewed

Williams, B.B., Gidley, J.L. and Schechter, R.S. 1979. Acidizing Fundamentals, Henry L. Doherty Memorial Fund of AIME, SPE of AIME, Page 49.

Source

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