Volume 25, Issue 1
Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang

Commun. Comput. Phys., 25 (2019), pp. 244-265.

Published online: 2018-09

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  • Abstract

In this paper, we introduce a physics-based nonlinear preconditioned Inexact Newton Method (INB) for the multi-physical simulation of fractured reservoirs. Instead of solving the partial differential equations (PDE) exactly, Inexact Newton method finds a direction for the iteration and solves the equations inexactly with fewer iterations. However, when the equations are not smooth enough, especially when local discontinuities exits, and when proper preconditioning operations are not adopted, the Inexact Newton method may be slow or even stagnant.
As pointed out by Keyes et al. [1], multi-physical numerical simulation faces several challenges, one of which is the local-scale nonlinearity and discontinuity. In this work, we have proposed and studied a nonlinear preconditioner to improve the performance of Inexact Newton Method. The nonlinear preconditioner is essentially a physics-based strategy to adaptively identify and eliminate the highly nonlinear zones.
The proposed algorithm has been implemented into our fully coupled, fully implicit THM reservoir simulator (Wang et al. [2, 3]) to study the effects of cold water injection on fractured petroleum reservoirs. The results of this work show that after the implementation of this nonlinear preconditioner, the iterative solver has become significantly more robust and efficient.

  • Keywords

Physics-based nonlinearity-elimination, Inexact Newton method, thermal-hydraulic-mechanical simulation, restricted additive Schwarz approach, parallel reservoir simulation.

  • AMS Subject Headings

60-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-25-244, author = {}, title = {Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery}, journal = {Communications in Computational Physics}, year = {2018}, volume = {25}, number = {1}, pages = {244--265}, abstract = {

In this paper, we introduce a physics-based nonlinear preconditioned Inexact Newton Method (INB) for the multi-physical simulation of fractured reservoirs. Instead of solving the partial differential equations (PDE) exactly, Inexact Newton method finds a direction for the iteration and solves the equations inexactly with fewer iterations. However, when the equations are not smooth enough, especially when local discontinuities exits, and when proper preconditioning operations are not adopted, the Inexact Newton method may be slow or even stagnant.
As pointed out by Keyes et al. [1], multi-physical numerical simulation faces several challenges, one of which is the local-scale nonlinearity and discontinuity. In this work, we have proposed and studied a nonlinear preconditioner to improve the performance of Inexact Newton Method. The nonlinear preconditioner is essentially a physics-based strategy to adaptively identify and eliminate the highly nonlinear zones.
The proposed algorithm has been implemented into our fully coupled, fully implicit THM reservoir simulator (Wang et al. [2, 3]) to study the effects of cold water injection on fractured petroleum reservoirs. The results of this work show that after the implementation of this nonlinear preconditioner, the iterative solver has become significantly more robust and efficient.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0108}, url = {http://global-sci.org/intro/article_detail/cicp/12670.html} }
TY - JOUR T1 - Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery JO - Communications in Computational Physics VL - 1 SP - 244 EP - 265 PY - 2018 DA - 2018/09 SN - 25 DO - http://dor.org/10.4208/cicp.OA-2017-0108 UR - https://global-sci.org/intro/article_detail/cicp/12670.html KW - Physics-based nonlinearity-elimination, Inexact Newton method, thermal-hydraulic-mechanical simulation, restricted additive Schwarz approach, parallel reservoir simulation. AB -

In this paper, we introduce a physics-based nonlinear preconditioned Inexact Newton Method (INB) for the multi-physical simulation of fractured reservoirs. Instead of solving the partial differential equations (PDE) exactly, Inexact Newton method finds a direction for the iteration and solves the equations inexactly with fewer iterations. However, when the equations are not smooth enough, especially when local discontinuities exits, and when proper preconditioning operations are not adopted, the Inexact Newton method may be slow or even stagnant.
As pointed out by Keyes et al. [1], multi-physical numerical simulation faces several challenges, one of which is the local-scale nonlinearity and discontinuity. In this work, we have proposed and studied a nonlinear preconditioner to improve the performance of Inexact Newton Method. The nonlinear preconditioner is essentially a physics-based strategy to adaptively identify and eliminate the highly nonlinear zones.
The proposed algorithm has been implemented into our fully coupled, fully implicit THM reservoir simulator (Wang et al. [2, 3]) to study the effects of cold water injection on fractured petroleum reservoirs. The results of this work show that after the implementation of this nonlinear preconditioner, the iterative solver has become significantly more robust and efficient.

Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang. (2020). Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery. Communications in Computational Physics. 25 (1). 244-265. doi:10.4208/cicp.OA-2017-0108
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