Characteristic time for linear diffusion in reservoirs
Input(s)
\(\Phi\): Porosity (fraction)
\(\beta_f\): Fluid Compressibility (1/psi)
\(\beta_r\): Rock Compressibility (1/psi)
\(\mu\): Viscosity (cP)
\(l\): Characteristic Length Scale of Diffusion (ft)
\(\mathrm{k}\): Permeability (mD)
Output(s)
\(\tau\): Time (s)
Formula(s)
\[
\tau=\frac{\left(\Phi * \beta_{f}+\beta_{r}\right) * \mu * I^{2}}{k}
\]
Reference(s)
Zoback, M. D. Reservoir Geomechanics, Cambridge University Express, UK, Page: 41.