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Production EngineeringHydraulic Fracturing

Turbulent Acidizing Mass Transfer Flux - Coefficient Form Formula

Ua,y=Kg(caca(w))+caVN\langle U_{a,y}\rangle=K_g\left(\langle c_a\rangle-\langle c_a(w)\rangle\right)+\langle c_a\rangle\langle V_N\rangle

Turbulent Acidizing Mass Transfer Flux - Coefficient Form calculates average diffusion flux of component a in y direction for hydraulic fracturing workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (K_g, c_avg, c_wall_avg, V_N_avg) 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, U_ay equals 0.0014 mol/cm2/s.

K_gcm/s

0.02

c_avgmol/cm3

0.1

c_wall_avgmol/cm3

0.08

V_N_avgcm/s

0.01

Inputs

K_g

cm/s

Effective Mass Transfer Coefficient

c_avg

mol/cm3

Average Concentration of Flowing Acid

c_wall_avg

mol/cm3

Average Acid Concentration at the Wall

V_N_avg

cm/s

Average Fluid Velocity Normal to the Surface

Outputs

U_ay

mol/cm2/s

Average Diffusion Flux of Component A in Y Direction

K_g

cm/s

Effective Mass Transfer Coefficient

c_wall_avg

mol/cm3

Average Acid Concentration at the Wall

V_N_avg

cm/s

Average Fluid Velocity Normal to the Surface

Source and review

reviewed

Williams, B.B., Gidley, J.L. and Schechter, R.S. 1979. Acidizing Fundamentals. Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers of AIME, Page 23.

Source

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