Fracture-fluid invasion of the formation (acidizing)

Input(s)

$\Delta P_{v}$ : Pressure difference between the fracture wall and the interface between the penetrating fracture fluid-formation fluids (psi)

$\mu$: Viscosity $(\mathrm{cP})$

Ø: Porosity (per cent)

$k$ : Permeability (Darcy)

$\mathrm{t}$: Time $(\min )$

Output(s)

$v_{N}$: Fluid Loss Velocity (ft/min)

Formula(s)

$$ v_{N}=0.0374 \sqrt{\frac{k \emptyset\left(\Delta P_{v}\right)}{\mu t}} $$

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: 41.