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.