Fracture geometry (acidizing)
Input(s)
i/h: Injection Rate per unit of Fracture Height \(\left(\mathrm{m}^{2} / \mathrm{s}\right)\)
\(\mu\) : Fluid Viscosity \((\mathrm{kg} / \mathrm{m} \mathrm{s})\)
E: Young's Modulus \(\left(\mathrm{kg} / \mathrm{m} \mathrm{s}^{2}\right)\)
L: Fracture Length \((\mathrm{m})\)
Output(s)
\(W_{w}\): Fracture width at the Wellbore (m)
Formula(s)
\[
\frac{W_{w}}{L} \approx\left(\frac{\mu i}{E h L^{2}}\right)^{0.25}
\]
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: 29.