Matching conditions at the cake-to-rock interface - Formation invasion

Input(s)

Piwall P_{i_{-} \text {wall }}: Pressure value at Cake to Rock Interface (psi)

Piwall 1P_{i_{\text {wall }-1}}: Pressure value at previous grid of Cake to Rock Interface (psi)

Piwall +1P_{i_{\text {wall }+1}}: Pressure value at the following grid of Cake to Rock Interface (psi)

kck_{c}: Permeability of the Mudcake (mD)(\mathrm{mD})

krk_{r}: Permeability of the Rock (mD)(\mathrm{mD})

Output(s)

(kc+kr)Pi_wall \left(k_{c}+k_{r}\right) P_{i \_ \text {wall }}: Relationship for matching conditions at the Cake-to-Rock interface (mD psi)

Formula(s)

(kc+kr)Piwall =kcPiwall 1+krPiwall +1\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.


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