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.