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Keywords: convergence
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Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203961-MS
... delaunay triangulation convergence machine learning upstream oil & gas discretization tpfa transmissibility truncation error artificial intelligence fluid dynamics voronoi grid grid quality measure strata local approximation permeability grid flow in porous media approximation spe...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203900-MS
...-problems. In standard SFI, the sub-problems are usually fully solved at each outer iteration. This can result in wasted computations that contribute little towards the coupled solution. The issue is known as ‘over-solving’. Our objective is to minimize the cost while maintain or improve the convergence...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-204009-MS
... multi-phase zone. In this paper, a new multi-level nonlinear solver is presented in a state-of-the-art parallel complex wellbore model for addressing some difficult numerical convergence problems. A sequential two-level nonlinear solver is implemented, where the inner solver is used to address...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193833-MS
... implementation. A local well solver can be applied to provide a better nonlinear precondition for MSWell variables in order to accelerate the nonlinear convergence of the FC method. However, solving the coupled MSWell and reservoir model in a fully implicit scheme can still present limitations on some practical...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193851-MS
... in compositional and thermal simulations for complex fluid systems in which three or four phase may co-exist. Solution of the Richford-Rice (RR) equations is an important operation in the multiphase flash. The Newton method generally does not converge during solution of the RR equations unless very good initial...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182713-MS
... and computational efficiency are observed, and the iteration converges for significantly larger time-step sizes. These comparisons show that absent of tailored ad hoc strategies such as those recently proposed for black oil simulation, the proposed strategy is more robust and efficient than the current state...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182598-MS
... are highlighted. An example is used to compare the three methods. Results show that MOPSO seems particularly suitable for medium-scale RM problems, mainly because of its relatively high rate of convergence and efficient recovery of Pareto front. MOO method optimization iteration optimization problem...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182630-MS
...) method. On the other hand, the coarse grid correction must be physically meaningful in order to speed up the overall convergence. It has been common practice in CPR-type applications to use an approximate pressure-saturation decoupling to fulfill this requirement. This, however, can have drastic impacts...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182619-MS
... convergence problems of the CPR-AMG method for large-scale thermal models. We observed significant reduction in the number of linear iterations (47-68%) but only modest reduction in runtime (0-26%) for these moderately difficult test simulations. This is partly due to some of the implementation short-cuts...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182661-MS
... porosity iteration society of petroleum engineers convergence strain path Introduction In a multi-physics process, a system has multiple physical phenomena evolving simultaneously. Often, a set of coupled equations represents the multiple interacting physical phenomena. The physical phenomena...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182636-MS
... diffusion dominates numerical diffusion to obtain converged solutions. This typically requires the use of high mesh resolution and high order numerical methods. This is computationally expensive, particularly in 3D. We use IC-FERST, a novel control volume finite element (CVFE) code that uses dynamic mesh...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182633-MS
... Abstract In reservoir simulation, the nonlinear solver is used to solve the nonlinear system of conservation and phase-equilibrium equations at each time step. The convergence behavior of this solver is vital for the robustness and performance of any reservoir simulator. Based on the basic...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182723-MS
... system multigrid method convergence Modeling & Simulation Fluid Dynamics two-stage preconditioner scaling method Upstream Oil & Gas scalability application solver equation problem size reservoir model algorithm preconditioner artificial intelligence Reservoir Simulation Symposium...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173294-MS
... sequential methods: the undrained-adiabatic split that combines the undrained split in poromechanics with the adiabatic split in thermomechanics, and the extended fixed-stress split. We perform new stability and convergence analysis for the undrained-adiabatic and extended fixed-stress split methods...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173232-MS
...) method for multi-phase multi-component flow ( Doster, Keilegavlen, & Nordbotten, 2013 ). For this time-stepping scheme the coupling is exact and the iterative scheme converges in one iteration, even for nonlinear flow and nonlinear geo-mechanics. The finite volume discretization of stress and strain...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173244-MS
... Computation coefficient wellbore integrity Upstream Oil & Gas convergence vector data structure preconditioner algorithm matrix Implementation solver iteration effective condition number rigid body mode equation Introduction The advances in hardware for high performance computing...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163608-MS
... overall convergence of the two-stage approach. The importance of this will be demonstrated for several industrial cases. In particular, some of these cases are very hard to solve by AMG if applied in a standard way. Preliminary results for a CPR-type coupling of SAMG to CMG’s PARASOL, a variable degree...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163577-MS
... and Johns ( 2011 , 2013 ), an offshoot of the Li and Johns (2006) reduced approach, is more robust than all other methods. Upstream Oil & Gas phase composition composition algorithm conventional method computational time iteration matrix eigenvalue calculation convergence NR...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163589-MS
... using a selected linear solver to obtain x = M −1 r updated + Wx P . The 4 steps are repeated until convergence or stopping criterion is reached. Note that, in step 2, a preconditioned linear solver is applied to solve the decoupled pressure system. M −1 in step 4 acts as the second stage...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163659-MS
... problems and proved that in the absence of counter-current flow, the algorithm is always convergent. However, in the presence of counter-current flow, reduced Newton converges only when a backward CFL condition is satisfied. When the backward CFL number is much larger than unity, it is possible for reduced...

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