Pseudo-steady state productivity of horizontal Wells - Method 1

Input(s)

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

s: Skin Factor (dimensionless)

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

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

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

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

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

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

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

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

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

\(r_{w}\): Radius of Wellbore (ft)

\(\mu_{o}\): Viscosity of Oil (cP)

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

Output(s)

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

\(s_{m}\): Mechanical Skin Factor (dimensionless)

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

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

Formula(s)

Reference(s)

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