..., the governing equations usually consist of a parabolic pressure equation accounting for flow mechanisms, and a set of hyperbolic saturation (or mass accumulation) equations accounting for mass transport mechanisms ( Aziz, 1979 ). The industry standard for solving the pressure equation is the two-point flux...

... pressure equation coefficient saturation filtration numerical solution grid Introduction Nowadays developing oil fields are characterized by increasing the proportion of fields with hard-to-recover reserves, which, in particular, include heavy oil fields. The distinctive features of these oils...

... pressure equation is discretized using a block-centered finite difference approximation analogous to the lowest order mixed finite element method. Later, Geiger-Boschung et al. (2009 ) applied the same Trangenstein and Bell (1989 ) black-oil model to the discrete-fracture model, previously developed...

... an improved compositional volume balance technique. Specifically, we reduce the component flow equations to a single pressure equation using partial molar volumes as weighting factors. This pressure equation is the unique feature of this paper and is used to analyze pressure and rate transient tests...

... pressure relationship P cow ( S w ) = P o − P w complete the system. A water pressure equation is constructed by substituting Darcy's law (2) into the mass conservation equation (1) and applying the saturation constraint and capillary pressure equation. Each term that contains pressure...

... efficient parallel computing Modeling & Simulation Fluid Dynamics boundary gridblock pressure equation Houston flow in porous media CPU time Simulation pressure solution Multiscale reservoir simulation simulation method permeability society of petroleum engineers multiscale multimesh...

... and heterogeneous media that demonstrate the superiority of our method to the finite difference (FD) approach. Our proposed MFE-DG method becomes orders of magnitude faster than the FD method for a desired accuracy in 2D. pressure equation flow in porous media approximation fluid modeling solution fdm...

... equations for the mobile phases at each position and time in the core. Darcy's equations are recast to give separate pressure and fractional flow equations. The fractional flow equation is solved locally, independently of any boundary condition assumptions, and the pressure equation (written in a global...

... to achieve more accurate and robust coarse scale models. tensor grid upstream oil & gas equation rotation procedure boundary condition scaling method fluid dynamics principal direction pressure equation border region full tensor spe 62928 accuracy coarse block procedure reservoir...

... Abstract Commercial simulators generally assume that the pressure equation always has a diagonal tensor permeability field. However, cases that involve the use of non-Cartesian grids, cross-bedding or upscaling (or any combination there-of) will give rise to a full tensor coefficient velocity...

... with the solution of the pressure equation, and where a good initial guess is generally available. The reduced equation flashes offer no significant improvement over these other methods; this is true even for the 3-equation flash which solves a simpler problem (with kij = 0). Introduction Historically, flash...

... coefficient because the thermal expansion of a compressible fracturing fluid will contribute to the pressure behavior during the test. wellbore pressure transient analysis pressure equation pressure behavior formation temperature equation upstream oil & gas incompressible model case 2...

... processes is used to generate two phenomenological laws. One law is a generalized Darcy-like equation composed of standard terms plus viscous and temperature couplings. The other one is a plus viscous and temperature couplings. The other one is a new capillary pressure equation. It is not standard because...

... reservoir pressure transient testing laplace space spe 18169 pressure equation drillstem testing pressure transient analysis reservoir equation equation fracture wall skin skin factor source function fracture laplace transform society of petroleum engineers reservoir SPE Society...

... in accuracy. flow in porous media vertical permeability accuracy pressure equation Modeling & Simulation Fluid Dynamics oil pressure change saturation change reservoir simulation approximate method calculation gas saturation change initial value equation agreement permeability...

... oscillation experiment viscosity ratio truncation error enhanced recovery approximation pressure equation mesh Computation dispersion coefficient flow in porous media permeability displacement variation miscible displacement mesh point equation SOCIETY OF PETROLEUM ENGINEERS OF AIME 6300...