Production EngineeringHydraulic Fracturing

Turbulent Acidizing Mass Transfer Flux - Effective Diffusivity Form Formula

\langle U_{a,y}\rangle=-D_E\frac{d\langle c_a\rangle}{dY}+\langle c_a\rangle\langle V_N\rangle

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

Calculate

How engineers use this formula

Use this formula when the listed inputs (D_E, dc_avg_dY, c_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 0.001 mol/cm2/s.

D_Ecm2/s

0.00005

dc_avg_dYmol/cm4

-0.001

c_avgmol/cm3

0.1

V_N_avgcm/s

0.01

Inputs

D_E

cm2/s

Effective Diffusion Coefficient of Component A

dc_avg_dY

mol/cm4

Average Acid Concentration Gradient in Y Direction

c_avg

mol/cm3

Average Concentration of Flowing Acid

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

D_E