Dynamically coupled linear flow - Formation invasion
Input(s)
\(x_{f}\): Transient Invasion Front (in.)
\(x_{f, o}\): Initial Displacement, i.e., Spurt (in.)
L: Lineal Core Length (in.)
\(p_{m}\): Constant Mud Pressure (psi)
\(p_{r}\): Constant Reservoir Pressure (psi)
\(\emptyset_{\text {eff: }} \quad\) Effective Rock Porosity (fraction)
\(\varnothing_{c}\): Mudcake Porosity (fraction)
\(k_{1}\): Mudcake Permeability to Filtrate (mD)
\(k_{2}\): Rock Permeability to Filtrate \((\mathrm{mD})\)
\(k_{3}\): Rock Permeability to "Oil" (mD)
\(\mu_{f}\): Mud Filtrate Viscosity \((\mathrm{cP})\)
\(\mu_{o}\): Viscosity of "Oil" or Formation Fluid (cP)
\(f_{s}\): Mud Solid Fraction (fraction)
Output(s)
\(\mathrm{x}_{\mathrm{f}}(\mathrm{t})\): Minimum Number of Jobs to Survive in a Minimum Chance Scenario (dimensionless)
Formula(s)
Reference(s)
Chin, W. C. (1995). Formation Invasion, Page: 16.