Dimensionless pressure drop during pseudo-steady state flow for a fractured vertical well in a square drainage area
Input(s)
\(t_{D A}\): Dimensionless Time (dimensionless)
\(C_{f}\): Shape Factor for a Fractured Vertical Well (dimensionless)
\(x_{e}\): Half the Side of Square Drainage Area \((\mathrm{ft})\)
\(x_{f}\): Fracture Half Length \((\mathrm{ft})\)
Output(s)
\(P_{D}\): Wellbore Dimensionless Pressure Drop (dimensionless)
Formula(s)
\[
P_{D}=2 * \pi * t_{D A}+0.5 * \ln \left(\frac{x_{e}}{x_{f}}\right)^{2}+0.5 * \ln \left(\frac{2.2458}{C_{f}}\right)+0.5 * 2.77
\]
Reference(s)
Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7, Page: 211 .