Permeability and skin factor from a constant-rate flow test

Input(s)

tat_{a}: Time at Pwf1 from given values or trendline (h)

tbt_{b}: Time at Pwf 2 from given values or trendline (h)

pwp_{w}: Well flowing Pressure at point 2 from given values or trend line (psi)

pwfp_{w f}: Well flowing Pressure at point 1 from given values or trendline (psi)

pip_{i}: Initial Pressure (psi)

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

q: Flow Rate (STB/day)

B: Volume factor (RB/STB)(\mathrm{RB} / \mathrm{STB})

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

μ\mu: Viscosity of Oil (cP)

\varnothing: Porosity (fraction)

ctc_{t}: Compressibility (1/psi)

rwr_{w}: Wellbore Radius (ft)

Output(s)

s: Skin Factor (dimensionless)

Formula(s)

s=1.151(piphrpwfpwlog(tb)log(ta)log(162.6qBμ(pwfpwlog(tb)log(ta))hμctrw2)+3.23)s=1.151 *\left(\frac{p_{i}-p h r}{\frac{p_{w f}-p_{w}}{\log \left(t_{b}\right)-\log \left(t_{a}\right)}}-\log \left(\frac{162.6 * q * B * \frac{\mu}{\left(\frac{p_{w f}-p_{w}}{\log \left(t_{b}\right)-\log \left(t_{a}\right)}\right) * h}}{\varnothing * \mu * c_{t} * r_{w}^{2}}\right)+3.23\right)

Reference(s)

Pressure Buildup and Flow Tests in Wells, Matthews & Russell, Page: 57.


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