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Algebraic equation 

LaTeX Math Block Reference
anchorProxyBLSolution
can be used to find a solution of 
LaTeX Math Block Reference
anchorProxyBL
 in terms of saturation over time and distance: 
LaTeX Math Inline
bodys(t,x)
 (see Fig. 1).


Fig. 1 – Sample case of of  Buckley–Leverett reservoir saturation profile 

LaTeX Math Inline
bodys(t,x)
 capturing the moment when water front is still on mid-way towards the producing well, sitting at
LaTeX Math Inline
bodyx_D = 1 \Leftrightarrow x = L
.

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