Mudcake growth equation 2 - Formation invasion

Input(s)

eff: \varnothing_{\text {eff: }} \quad Effective Porosity (fraction)

fsf_{s}: Mud Solid Fraction (fraction)

c\varnothing_{c}: Mudcake Porosity (fraction)

xfx_{f}: Transient Invasion Front (in.)

xf,ox_{f, o}: Initial Displacement, i.e., Spurt (in.)

Output(s)

xc(t)x_{c}(t): Mudcake Growth by time (in./s)

Formula(s)

xc(t)=[efffs/{(1c)(1fs)}](xfxf,o)x_{c}(t)=\left[\varnothing_{e f f} f_{s} /\left\{\left(1-\varnothing_{c}\right)\left(1-f_{s}\right)\right\}\right]\left(x_{f}-x_{f, o}\right)

Reference(s)

Chin, W. C. (1995). Formation Invasion, Page: 45.


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