Page 219 - Formulas and Calculations for Petroleum Engineering
P. 219
212 Formulas and calculations for petroleum engineering
4.18 Convective mass transfer for laminar flow (acidizing)
Input(s)
2
D A : Diffusion Coefficient of Component A (cm /s)
4
∂c A /∂Y: Concentration Gradient (mol/cm )
3
c a : Concentration of Flowing Acid (mol/cm )
V N : Fluid Velocity Normal to the Surface (cm/s)
Output(s)
2
U a, y : Diffusion Flux of a Component A in Y direction (mol/cm s)
Formula(s)
∂c a
U ¼ D + c V
a,y A a N
∂Y
Reference: Williams, B. B., Gidley, J. L., & Schechter, R. S. (1979). Acidizing fundamentals. Henry L. Doherty Memorial
Fund of AIME, Society of Petroleum Engineers of AIME, Page 22.
4.19 Convective mass transfer for turbulent flow (acidizing)
Input(s)
2
D A : Diffusion Coefficient of Component A (cm /s)
2
D E : Effective Diffusion Coefficient of Component A (cm /s)
4
dc a /dY: Concentration Gradient (mol/cm )
3
c a : Concentration of Flowing Acid (mol/cm )
3
<c a >: Average Concentration of Flowing Acid (mol/cm )
3
<c a (w)>: Average Concentration of Flowing Acid (mol/cm )
V N : Fluid Velocity Normal to the Surface (cm/s)
<V N >: Average Fluid Velocity Normal to the Surface (cm/s)
K g : Effective Mass Transfer Coefficient (cm/s)
Output(s)
2
U a, y : Diffusion Flux of a Component A in Y direction (mol/cm s)
2
<U a, y >: Average Diffusion Flux of a Component A in Y direction (mol/cm s)
Formula(s)
d < c >
< U a,y >¼ D A a + < c V >
a N
∂Y
d < c >
a
< U >¼ D + < c >< V >
a,y E a N
dY
< U >¼ K < c > < c wðÞ > + < c >< V >
½
a,y g a a a N
Reference: Williams, B. B., Gidley, J. L., & Schechter, R. S. (1979). Acidizing fundamentals. Henry L. Doherty Memorial
Fund of AIME, Society of Petroleum Engineers of AIME, Page 23.
