... equation grid discontinuity conservation law simulator upstream oil & gas saturation equation modeling & simulation fluid dynamics spe reservoir engineering numerical method timestep reservoir simulation saturation front february 1992 riemann problem rn 3 flow in porous media...

..., including enhanced gasdrives with phase discontinuities. A new nine-point scheme is also presented, along with general rules for any nine-point scheme to obey Darcy's law. Converged solutions are obtained for displacements at adverse mobility ratios of 5, 000 with no grid-orientation effects...

... 1989 1 2 1989 Copyright 1989, Society of Petroleum Engineers enhanced recovery artificial intelligence fluid dynamics recovery saturation capillary number composition route equation discontinuity viscosity ratio upstream oil & gas oil recovery concentration secondary...

... dynamics flow stability basic flow profile stability condition enhanced recovery immiscible displacement discontinuity equation eigenvalue problem upstream oil & gas flow in porous media jump condition stability wavelength Several important processes involve displacement of a fluid...

... the condition λ 1 = constant (contact discontinuity). It is shown that this exceptional case corresponds to a phase equilibrium relationship of the form ( C V 32 C V 11 - C V 12 C V 31 )/ C V 31 -C V 32 ) = K . This relationship was originally proposed to describe the thermodynamics of concentrated solutions...