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.