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 Num. Meth. Prog., 2012, Volume 13, Issue 4, Pages 517–524 (Mi vmp58)

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Solving the Buckley–Leverett equation with a random coefficient of porosity

A. V. Isaeva, M. L. Serdobol'skaya

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The Buckley–Leverett equation with a random coefficient of porosity is considered. In order to analyze the equation, a combination of analytical (the method of characteristics) and numerical (upwind and hybrid difference schemes) approaches is used. An explicit expression for the stochastic characteristics of the Buckley–Leverett equation is obtained. The statistical parameters of breakthrough time are considered. A comparison between the analytical estimates and the numerical results is discussed.

Keywords: Buckley–Leverett equation; geostatistics; hybrid difference schemes.

Full text: PDF file (401 kB)
UDC: 519.688

Citation: A. V. Isaeva, M. L. Serdobol'skaya, “Solving the Buckley–Leverett equation with a random coefficient of porosity”, Num. Meth. Prog., 13:4 (2012), 517–524

Citation in format AMSBIB
\Bibitem{IsaSer12} \by A.~V.~Isaeva, M.~L.~Serdobol'skaya \paper Solving the Buckley--Leverett equation with a random coefficient of porosity \jour Num. Meth. Prog. \yr 2012 \vol 13 \issue 4 \pages 517--524 \mathnet{http://mi.mathnet.ru/vmp58}