Critical rate for horizontal Wells in edge-water drive reservoirs

Input(s)

e1: Constant for \(\mathrm{C} 1\) Equals +0.023 or -0.023 (dimensionless)

\(e 2\): Constant for \(\mathrm{C} 2\) equals +0.0013 or -0.0013 (dimensionless)

e3: Constant for \(\mathrm{C} 3\) equals +0.022 or -0.022 (dimensionless)

e4: Constant for \(\mathrm{C} 4\) equals +0.0013 or -0.0013 (dimensionless)

\(\Delta_{\rho}\): Density Difference between water and oil or, oil and gas \((\mathrm{gm} / \mathrm{cc})\) h: Pay Zone Thickness (ft)

L: Length of Well (ft)

\(x_{e}\): Distance between Horizontal Well and Constant Pressure Boundary (ft)

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

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

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

Output(s)

\(c_{1}\): Dimensionless Constant for calculation (dimensionless)

\(c_{2}\): Dimensionless Constant for calculation (dimensionless)

\(c_{3}\): Dimensionless Constant for calculation (dimensionless)

\(c_{4}\): Dimensionless Constant for calculation (dimensionless)

\(q_{c}\): Dimensionless Critical Rate per Unit length (STB/day/ft)

\(q_{o}\): Critical Rate (STB/day)

\(z_{c}\): Critical Height Representing the Difference between the Apex of the Gas/Water Crest from the Well Elevation \((\mathrm{ft})\)

Formula(s)

Reference(s)

Joshi, S.D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7, Page: 309,310 .