Abstract: 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.

Abstract: A computer system and method of simulating the behavior of an oil and gas reservoir including changes in the margins of frangible solids. A system of equations including state equations such as momentum, and conservation laws such as mass conservation and volume fraction continuity, are defined and discretized for at least two phases in a modeled volume, one of which corresponds to frangible material. A material point model technique for numerically solving the system of discretized equations, to derive fluid flow at each of a plurality of mesh nodes in the modeled volume, and the velocity of at each of a plurality of particles representing the frangible material in the modeled volume. A time-splitting technique improves the computational efficiency of the simulation while maintaining accuracy on the deformation scale. The method can be applied to derive accurate upscaled model equations for larger volume scale simulations.