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

Authors

  • A.V. Isaeva
  • M.L. Serdobolskaya

Keywords:

Buckley-Leverett equation
geostatistics
hybrid difference schemes

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.

New computational technologies

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Published

2012-11-01

Issue

Vol. 13 (2012): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biographies

A.V. Isaeva

Lomonosov Moscow State University,
Faculty of Physics
• PhD Student

M.L. Serdobolskaya

Lomonosov Moscow State University,
Faculty of Physics
• Associate Professor

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