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.