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.