Permeability and reservoir pressure from buildup tests

Input(s)

tp\mathrm{t}_{\mathrm{p}}: Time till which drawdown was done (h)

dtad t_{a}: Time of shut in 1 from given values or trendline (h)

dtbd t_{b}: Time of shut in 2 from given values or trendline (h)

pwsap w s_{a}: Well flowing Pressure at shut in point 2 from given values or trendline (psi)

pwsbp w s_{b}: Well flowing Pressure at shut in point 1 from given values or trendline (psi)

h\mathrm{h}: Thickness of Reservoir (ft)

μ\mu: Viscosity of Oil (cP)(\mathrm{cP})

phr\mathrm{p}_{\mathrm{hr}}: Pressure at t=1 h(psi)t=1 \mathrm{~h}(\mathrm{psi})

pwf\mathrm{p}_{\mathrm{wf}}: Pressure flowing well (psi)(\mathrm{psi})

Ø: Porosity (fraction)

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

rwr_{w}: Wellbore Radius (ft)

Output(s)

s: Skin Factor (dimensionless)

Formula(s)

s=1.151((phrpwf)log(pwsapwsblog(tp+dtbdtb)log(tp+dtadta)μctrw2)+3.23)s=1.151 *\left((p h r-p w f)-\log \left(\frac{\frac{p w s_a-p w s_b}{\log \left(\frac{t p+d t_b}{d t_b}\right)-\log \left(\frac{t p+d t_a}{d t_a}\right)}}{\emptyset * \mu * c_t * r_w^2}\right)+3.23\right)

Reference(s)

Pressure Buildup and Flow Tests in Wells, Matthews & Russell, Page: 21.


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