Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows
KAUST DepartmentComputational Transport Phenomena Lab
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Online Publication Date2019-07-30
Print Publication Date2019-11
Embargo End Date2021-07-30
Permanent link to this recordhttp://hdl.handle.net/10754/656717
MetadataShow full item record
AbstractThe 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.
CitationYang, 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.2019.07.011
SponsorsThe 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).
JournalComputer Physics Communications