Вычислительные методы и приложения
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
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.
Buckley–Leverett equation; geostatistics; hybrid difference schemes
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A. V. Isaeva, M. L. Serdobol'skaya, “Solving the Buckley–Leverett equation with a random coefficient of porosity”, Vychisl. Metody Programm., 13:4 (2012), 517–524
Citation in format AMSBIB
\by A.~V.~Isaeva, M.~L.~Serdobol'skaya
\paper Solving the Buckley--Leverett equation with a random coefficient of porosity
\jour Vychisl. Metody Programm.
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