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 .