Bottomhole flowing pressure during infinite-acting pseudoradial flow

Input(s)

pip_{i}: Initial Reservoir Pressure (psi)

QoQ_{o}: Well Flow Rate (STB/day)

BoB_{o}: Oil Formation Volume Factor (bbl/STB)

μo\mu_{o}: Oil Viscosity (cP)(\mathrm{cP})

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

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

t\mathrm{t}: Flowing Time (h)

\emptyset: Porosity (fraction)

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

rwr_{w}: Wellbore Radius (ft)

S\mathrm{S}: Skin (dimensionless)

Output(s)

PwfP_{w f}: Wellbore Flowing Pressure (psi)

Formula(s)

Pwf=pi(162.6QoμoBokh)(log(t)+log(kμoctrw2)3.23+0.87S)pipwf=Δp=a+mlog(t)\begin{gathered} P_{w f}=p_{i}-\left(\frac{162.6 * Q_{o} * \mu_{o} * B_{o}}{k * h}\right) *\left(\log (t)+\log \left(\frac{k}{\emptyset * \mu_{o} * c_{t} * r_{w}^{2}}\right)-3.23+0.87 * S\right) \\ p_{i}-p_{w f}=\Delta p=a+m \log (t) \end{gathered}

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1, Page: 98.


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