Characteristic time for linear diffusion in reservoirs

Input(s)

Φ\Phi: Porosity (fraction)

βf\beta_f: Fluid Compressibility (1/psi)

βr\beta_r: Rock Compressibility (1/psi)

μ\mu: Viscosity (cP)

ll: Characteristic Length Scale of Diffusion (ft)

k\mathrm{k}: Permeability (mD)

Output(s)

τ\tau: Time (s)

Formula(s)

τ=(Φβf+βr)μI2k\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.


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