Dimensionless fracture width for linear vertical fracture (Geertsma & Klerk)

Input(s)

\(C\): Over-all Fluid-Loss Coefficient \(\left(\mathrm{m} /\left(\mathrm{s}^{0.5}\right)\right)\)

\(h\) : Fracture Height (m)

E: Young's Modulus of the Formation Rock \(\left(\mathrm{kg} / \mathrm{m}-\mathrm{s}^{2}\right.\) )

\(i\) : Fluid Injection Rate \(\left(\mathrm{m}^{3} / \mathrm{s}\right)\)

\(t\) : Total time for Fluid Injection (s)

\(w_{w}\) : Fracture width at the Wellbore (m)

\(V_{s p t}\) : The Spurt Volume \(\left(\mathrm{m}^{3} / \mathrm{m}^{2}\right)\)

Output(s)

\(K_{L}\): Dimensionless Fracture Length (dimensionless)

\(K_{u}\): Reciprocal Dimensionless Fracture Width (dimensionless)

\(K_{s}\): Dimensionless Fluid-Loss Coefficient (dimensionless)

\(K_{\eta L}\): Dimensionless Variable (dimensionless)

Formula(s)

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: 40.