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.