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LaTeX Math Block
anchorProxyBLSolution
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x_D(s) = \begin{cases}\dot f(s) \cdot t, & \mbox{if } s < s^*\\1- \dot f(s) \cdot t, & \mbox{if } s \geq s^*\end{cases}

and used as algebraic equation to find a solution of 

LaTeX Math Block Reference
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 in terms of saturation over time and distance: 
LaTeX Math Inline
bodys(t,x)
.

See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Dynamic Flow Model / Reservoir Flow Model (RFM)

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