Total skin in partially depleted wells for a buildup test

Input(s)

rewr_{e w}: Dimensionless Parameter in terms of Perforated Length and Wellbore Radius (dimensionless)

\emptyset : Porosity (fraction)

μ\mu : Viscosity (cP)(\mathrm{cP})

ctc_{t}: Total Compressibility (1/psi)(1 / \mathrm{psi})

k: Permeability (mD)(\mathrm{mD})

psp_{s}: Shut-in Pressure at any Shut-in Time (psi)

pwp_{w} : Well Flowing Pressure at the Instant of Shut-in (psi)

Δt\Delta t: Shut-in Time (day)

m\mathrm{m} : Slope of Cartesian Pressure Build-up Plot (psi/cycle)

Output(s)

S: Skin (dimensionless)

Formula(s)

S=34.7rew(((μctk))0.5)((pspwm)+(1(Δt)0.5))1S=34.7 * r_{e w} *\left(\left(\left(\emptyset * \mu * \frac{c_{t}}{k}\right)\right)^{0.5}\right) *\left(\left(\frac{p_{s}-p_{w}}{m}\right)+\left(\frac{1}{(\Delta t)^{0.5}}\right)\right)-1

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1, Page: 81 .


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