Many applications involving porous media-notably reservoir engineering and geologic applications-involve tight coupling between multiphase fluid flow, transport, and poromechanical deformation. While numerical models for these processes have become commonplace in research and industry, the poor scalability of existing solution algorithms has limited the size and resolution of models that may be practically solved. In this work, we propose a two-stage Newton-Krylov solution algorithm to address this shortfall. The proposed solver exhibits rapid convergence, good parallel scalability, and is robust in the presence of highly heterogeneous material properties. The key to success of the solver is a block-preconditioning strategy that breaks the fully-coupled system of mass and momentum balance equations into simpler sub-problems that may be readily addressed using targeted algebraic methods. Numerical results are presented to illustrate the performance of the solver on challenging benchmark problems.

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Abstract. This paper discusses the considerations for production modernization, replacement of imported spare parts manufactured in-house and redistribution of items manufactured spare parts between managed societies, with a goal to improve the quality and reliability of products, to reduce its cost, and work. Noted that the process of acquiring new foreign equipment and modern materials are complicated. There are examples of restrictive measures of the sanctions impact on industrial products and the dynamics of dependency on imports of industrial products. We used analytic and statistical research methods. Authors conducted a comparative analysis of the engineering assets of «Metalloinvest» holding that showed that all businesses have an impressive fleet of metal-working equipment on all groups of machines on the basis of an analysis of the needs for them to transport spare parts.