A computer system and method of simulating the behavior of an oil and gas reservoir including movement of the steam-bitumen interface during oil production using the Steam Assisted Gravity Drainage (SAGD) technique. A system of equations including state equations involving momentum and heat transport for each phase, mass conservation equations, and heat balance equations, in combination with a continuity constraint, is defined and discretized for the modeled volume. A material point model technique for numerically solving the system of discretized equations is applied, where interface marker particles that move through the Eulerian grid represent the location of points along the steam-bitumen interface.
STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT
 The United States government has rights in this invention pursuant to Contract No. DE-AC52-06NA25396 between the United States Department of Energy and Los Alamos National Security, LLC for the operation of Los Alamos National Laboratory.