Pseudo-steady state productivity of horizontal Wells - Method 1

Input(s)

A: Drainage Area (ft2)\left(\mathrm{ft}^{2}\right)

s: Skin Factor (dimensionless)

D: Turbulence Coefficient (1/BOPD for oil and 1/MSCFD for gas)

C: Shape Factor Conversion Constant =1.386=1.386 (dimensionless)

sCAhs_{C A h}: Shape-Related Skin Factor (dimensionless)

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

kvk_{v}: Vertical Permeability (mD)(\mathrm{mD})

khk_{h}: Horizontal Permeability (mD)(\mathrm{mD})

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

q: Flow Rate (BOPD for oil and MSCFD for gas)

L: Fracture Length (ft)(\mathrm{ft})

rwr_{w}: Radius of Wellbore (ft)

μo\mu_{o}: Viscosity of Oil (cP)

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

Output(s)

rer_{e}: Effective Radius of Drainage Area (ft)

sms_{m}: Mechanical Skin Factor (dimensionless)

sfs_{f}: Skin Factor of an Infinite-conductivity, Fully Penetrating Fracture of Length L (dimensionless)

JhJ_{h}: Pseudo-steady State Productivity of a Horizontal Well (bbl/day/psi)

Formula(s)

re=(Aπ)0.5sm=shL(khkv)0.5sf=ln(L4rw)Jh=0.007078khμoBoln(rerw)A+sf+sm+sCAhC+Dq\begin{gathered} r_{e}=\left(\frac{A}{\pi}\right)^{0.5} \\ s_{m}=s * \frac{h}{L} *\left(\frac{k_{h}}{k_{v}}\right)^{0.5} \\ s_{f}=-\ln \left(\frac{L}{4 * r_{w}}\right) \\ J_{h}=\frac{0.007078 * k * \frac{h}{\mu_{o} * B_{o}}}{\ln \left(\frac{r_{e}}{r_{w}}\right)-A+s_{f}+s_{m}+s_{C A h}-C+D * q} \end{gathered}

Reference(s)

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7, Page: 221.


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