Ideal fracture conductivity created by acid reaction (acidizing)

Input(s)

$h$: Fracture Height $(\mathrm{ft})$

i: Injection rate $\left(\mathrm{ft}^{3} / \mathrm{min}\right)$

$\mathrm{t}$ : Time $(\min )$

$\mathrm{x} L$: Acid Penetration Distance $(\mathrm{ft})$

$X$ : Acid Dissolving Power $\left(\mathrm{ft}^{3} / \mathrm{ft}^{3}\right)$

Ø: Porosity (per cent)

Output(s)

$w_{a}$: Opened Channel of (Dissolved) Width (ft)

Formula(s)

$$ w_{a}=\frac{X \cdot i \cdot t}{2 x L \cdot h(1-\varnothing)} $$

Reference(s)

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: 49.