Mudcake growth equation - Formation invasion
Input(s)
\(f_{s}\): Mud Solid Fraction (fraction)
\(\varnothing_{c}\): Mudcake Porosity (fraction)
\(v_{N}\): Darcy Velocity of the Filtrate through the cake and past the paper (in./s)
Output(s)
\(\frac{d x_{c}(t)}{d t}\): Mudcake Growth by time (in./s)
Formula(s)
\[
\frac{d x_{c}(t)}{d t}=\left(\frac{f_{s}}{\left(1-f_{s}\right)\left(1-\emptyset_{c}\right)}\right)\left|v_{n}\right|
\]
Reference(s)
Chin, W. C. (1995). Formation Invasion, Page: 39.