Pore growth function (acidizing)

Input(s)

\(r_{\text {ave }}\) : Average Wall Reaction Rate taken over the entire Reactive Surface Area \(\left(\mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)\)

\(\beta\) : Acid gravimetric dissolving power (mass rock/mass acid)

\(\rho_{m a}\): Formation Matrix Density \(\left(\mathrm{g} / \mathrm{cm}^{3}\right)\)

\(\Gamma\): Perimeter of the Pore \((\mu \mathrm{m})\)

A: Cross-sectional Area of Pore \(\left(\mathrm{cm}^{2}\right)\)

\(l\) : Length of Pore \((\mu \mathrm{m})\)

\(\mathrm{t}\): time \((\mathrm{s})\)

Output(s)

\(\psi\): Pore Growth Function \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)

Formula(s)

or

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: 69.