... splitting errors. Introducing a fully coupled solution stage on the local subdomains as an additional correction step restores nonlinear convergence. Detailed analysis of the ‘coupling strength’ criteria indicates that the criteria related to the sensitivity of the mass balance to changes in the pressure...

... designed for massively parallel architectures. The computational efficiency and scalability of these preconditioners is evaluated according to challenging real-world reservoir problems. Modeling & Simulation computational time iterative solver correction convergence rate linear system...

... formulation iteration Fluid Dynamics Voskov nonlinear solver Jacobian equation correction nonlinear iteration operator parametrization Tchelepi formulation Introduction Numerical simulations are essential for the modern development of subsurface reservoirs ( Aziz and Settari, 1979...

...-free algorithms use approximate gradients of the objective function based on stochastic methods ( Wang et al., 2009 ) and ensemble methods ( Chen and Oliver, 2010 ), which may be corrected by additional finite difference computations ( Xia and Reynolds, 2013 ) or be incorporated into a quadratic...

.... This is the case when applying the conventional streamline operator-splitting approach, where the nonlinear terms associated with capillarity and gravity limit the time step. Earlier studies have shown the importance of an "anti-diffusive" correction in which numerical dispersion from the convective solution must...

... and can be extended to include higher-order terms in the appropriate Taylor series. The proposed MMPFA is combined with the mixed corrections which ensure linear completeness. The mixed correction utilizes Shepard Functions in combination with a correction to derivative approximations. Incompleteness...

...-diffusion model calculation representation oil cut durlofsky upstream oil & gas global boundary condition saturation equation reservoir characterization mobility scale model permeability pseudo pressure equation subgrid term fluid dynamics correction two-phase flow boundary condition...

... flux correction on the accuracy of the solution and on the appropriate choice of time step, across a range of mobility ratios. The proposed approach eliminates much of the subjectivity associated with streamline simulation, and provides a basis for automatic control of pressure time step within full...

... decomposition-based preconditioner to achieve faster convergence with high parallel scalability. A preliminary test case of 1.5 million grid blocks with up to 59 processors shows a parallel efficiency of above 90%. calculation formulation solver reservoir simulation correction equation subdomain...

... , just a short overview of the alpha-factor method is presented here. Alpha-Factor Method Overview The alpha-factors introduce corrections to the molar flux of a component i in each phase p due to sub-grid heterogeneity effects, where p=l for the liquid phase or p=g for the gas phase...

... scale simulations of nonconventional wells. grid solution correlation length agreement scaling method reservoir simulation standard approach transmissibility grid block calculation flow in porous media durlofsky flow problem modeling & simulation correction upstream oil & gas...

... submitted by the aU1hor(s). Contents of the paper. as presented. have not been reviewed by the Society of Petroleum Engineers and are subject to correction by the author(s). The material. as presented. does not necessarily reflect any position of the Society of Petroleum Engineers. its officers. or members...

... upstream oil & gas matrix preconditioner transmissibility permeability computation symposium correction tridiagonal matrix SPE 29101 Society of Petroleum Engineers A New Iterative Solution Method With Alternating lnterblock Direction (AID} Preconditioner Dalsoo Shin; Saudi Aramco SPE Member...

... media upstream oil & gas approximation finite-element reservoir simulator spe 25246 equation finite-element method fluid dynamics singularity eqn node pvt measurement coefficient artificial intelligence reservoir simulation accuracy spe 25246 discretization correction peaceman...

.... equation calculation construction bilinear function correction flow in porous media mccracken grid nine-point scheme five-point scheme spe 21223 interpolation time step saturation fluid dynamics stream tube reservoir simulation pressure field stream line upstream oil & gas yanosik...

... SPE Members Abstract The use of parallel iterative techniques for the linear equations associated with reservoir simulation was investigated. A technique is described in which a lower dimensional problem is used as a correction to the preconditioned generalized conjugate residual method...

... as a nearly-unit mobility ratio at the displacement front. First-order corrections for these effects are found and applied to the model. 1. Introduction Most natural rock systems are heterogeneous. Porous sedimentary rocks are often made up of layers and patches of different permeabilities which affect...

... preconditioner correction residual constraint matrix residual acceleration conjugate residual method spe 13536 constraint kendall procedure equation upstream oil & gas eigenvector eigenspace convergence reservoir simulation artificial intelligence SPE SocIety of PetroIeun Engineers of "'ME...