Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows
Type
ArticleKAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2019-07-30Online Publication Date
2019-07-30Print Publication Date
2019-11Embargo End Date
2021-07-30Permanent link to this record
http://hdl.handle.net/10754/656717
Metadata
Show full item recordAbstract
The numerical simulation of multicomponent compressible flow in porous media is an important research topic in reservoir modeling. Traditional semi-implicit methods for such problems are usually conditionally stable, suffer from large splitting errors, and may accompany with violations of the boundedness requirement of the numerical solution. In this study we reformulate the original multicomponent equations into a nonlinear complementarity problem and discretize it using a fully implicit finite element method. We solve the resultant nonsmooth nonlinear system of equations arising at each time step by a parallel, scalable, and nonlinearly preconditioned semismooth Newton algorithm, which is able to preserve the boundedness of the solution and meanwhile treats the possibly imbalanced nonlinearity of the system. Some numerical results are presented to demonstrate the robustness and efficiency of the proposed algorithm on the Tianhe-2 supercomputer for both standard benchmarks as well as realistic problems in highly heterogeneous media.Citation
Yang, H., Sun, S., Li, Y., & Yang, C. (2019). Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows. Computer Physics Communications, 244, 2–12. doi:10.1016/j.cpc.2019.07.011Sponsors
The authors would like to express their appreciationto the anonymous reviewers for the invaluable comments that have greatly improved the quality of the manuscript. The work was supported in part by the National Natural Science Foundation of China (11571100 and 11871069).Publisher
Elsevier BVJournal
Computer Physics CommunicationsAdditional Links
https://linkinghub.elsevier.com/retrieve/pii/S001046551930222Xae974a485f413a2113503eed53cd6c53
10.1016/j.cpc.2019.07.011