Vertical well critical rate correlations - Craft and Hawkins method

Input(s)

b: Penetration Ratio, (hp/h)\left(h_{p} / \mathrm{h}\right) (dimensionless)

rer_{e}: Radius of Drainage (ft)(\mathrm{ft})

rwr_{w}: Radius of Wellbore (ft)(\mathrm{ft})

hph_{p}: Thickness of Perforated interval (ft)

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

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

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

kok_{o}: Effective Oil Permeability (mD)(\mathrm{mD})

pwsp_{w s}: Static Well Pressure Corrected to the Middle of the Producing Interval (psi)

pwfp_{w f}: Flowing Well Pressure at the Middle of the Producing Interval (psi)

Output(s)

PR: Productivity Ratio (dimensionless)

qoq_{o}: Critical Rate (Maximum Oil Rate without Coning) (STB/day)

Formula(s)

PR=b(1+7(rw2bh)0.5cos(b90))qo=0.007078koh(pwspwf)μoBoln(rerw)PR\begin{gathered} P R=b *\left(1+7 *\left(\frac{r_{w}}{2 * b * h}\right)^{0.5} * \cos \left(b * 90^{\circ}\right)\right) \\ q_{o}=\frac{0.007078 * k_{o} * h *\left(p_{w s}-p_{w f}\right)}{\mu_{o} * B_{o} * \ln \left(\frac{r_{e}}{r_{w}}\right)} * P R \end{gathered}

Reference(s)

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 8 , Page: 254.


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