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Many applications involving porous media--notably reservoir engineering andgeologic applications--involve tight coupling between multiphase fluid flow,transport, and poromechanical deformation. While numerical models for theseprocesses have become commonplace in research and industry, the poorscalability of existing solution algorithms has limited the size and resolutionof models that may be practically solved. In this work, we propose a two-stageNewton-Krylov solution algorithm to address this shortfall. The proposed solverexhibits rapid convergence, good parallel scalability, and is robust in thepresence of highly heterogeneous material properties. The key to success of thesolver is a block-preconditioning strategy that breaks the fully-coupled systemof mass and momentum balance equations into simpler sub-problems that may bereadily addressed using targeted algebraic methods. Numerical results arepresented to illustrate the performance of the solver on challenging benchmarkproblems.

A Two-Stage Preconditioner for Multiphase Poromechanics in Reservoir Simulation