Matching conditions at the cake-to-rock interface - Formation invasion
Input(s)
\(P_{i_{-} \text {wall }}\): Pressure value at Cake to Rock Interface (psi)
\(P_{i_{\text {wall }-1}}\): Pressure value at previous grid of Cake to Rock Interface (psi)
\(P_{i_{\text {wall }+1}}\): Pressure value at the following grid of Cake to Rock Interface (psi)
\(k_{c}\): Permeability of the Mudcake \((\mathrm{mD})\)
\(k_{r}\): Permeability of the Rock \((\mathrm{mD})\)
Output(s)
\(\left(k_{c}+k_{r}\right) P_{i \_ \text {wall }}\): Relationship for matching conditions at the Cake-to-Rock interface (mD psi)
Formula(s)
\[
\left(k_{c}+k_{r}\right) P_{i_{-} \text {wall }}=k_{c} P_{i_{\text {wall }-1}}+k_{r} P_{i_{\text {wall }+1}}
\]
Reference(s)
Chin, W. C. (1995). Formation Invasion, Page: 147.