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)

$$ \psi=\frac{r_{a v e} \beta \Gamma}{\rho_{m a}^{\prime}} $$

or

$$ \rho_{m a} l \frac{d A}{d t}=r_{a v e} \beta \Gamma l $$

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.