Author(s)

T. Samardzioska & V. Popov

Abstract

The numerical model of two-phase flow through porous media is used in many branches of science and engineering, including groundwater hydrology, soil science, reservoir problems in petroleum engineering, storage of radioactive or chemical wastes, etc. Two-phase flow consists of two flowing fluids, which do not interchange mass and do not have reaction with the solid matrix. The equations governing the two-phase flow through porous media are special cases of general balance laws. From a numerical point of view, due to the high nonlinearity of the governing equations and their strong coupling, the simulation provides a challenging numerical problem, even when simplifying assumptions are invoked. A new numerical scheme based on the dual reciprocity method – multi domain (DRM-MD) for the numerical simulation is presented. The efficiency of the method is proved on one and two dimensional two-phase flow examples. 1 Introduction Numerical simulation of multiphase flow through fractured rocks is important in many branches of science and engineering. Hydrologists, agricultural engineers, soil physicists and others have for many years been concerned with fluid movement in air-water porous media systems. In the most recent years, environmental concerns and search for secure atomic waste depositories and for remediation strategies for contaminated aquifers raised more interest in the movement of fluids in the so-called vadose or unsaturated zone interposed between the atmosphere and the groundwater (saturated zone). Many potential

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