Dimensionless time (linear flow/constant rate production/hydraulically fractured wells)
Input(s)
\(\mathrm{t}\): Production Time \((\mathrm{h})\)
\(\mathrm{k}\): Permeability \((\mathrm{mD})\)
\(\emptyset\): Porosity (fraction)
\(c_{t}\): Total Compressibility \((1 / \mathrm{psi})\)
\(\mu\): Oil Viscosity \((\mathrm{cP})\)
\(L_{f}\): Half Length of Fracture \((\mathrm{ft})\)
Output(s)
\(t_{L_{f} p}\): Dimensionless Time (dimensionless)
Formula(s)
\[
t_{L_{f D}}=\frac{0.0002637 * k * t}{\phi * \mu * c_{t} * L_{f}^{2}}
\]
Reference(s)
Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of Petroleum Engineers, Page: 10.1