Malysheva, TetyanaWhite, Luther W.2022-05-182022-05-182017-05-24Malysheva, T., & White, L. W. (2017). Well-Posedness of a fully coupled thermo-chemo-poroelastic system with applications to petroleum rock mechanics. <i>Electronic Journal of Differential Equations, 2017</i>(137), pp. 1-22.1072-6691https://hdl.handle.net/10877/15792We consider a system of fully coupled parabolic and elliptic equations constituting the general model of chemical thermo-poroelasticity for a fluid-saturated porous media. The main result of this paper is the developed well-posedness theory for the corresponding initial-boundary problem arising from petroleum rock mechanics applications. Using the proposed pseudo-decoupling method, we establish, subject to some natural assumptions imposed on matrices of diffusion coefficients, the existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the problem. Numerical experiments confirm the applicability of the obtained well-posedness results for thermo-chemo-poroelastic models with real-data parameters.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalParabolic-elliptic systemPoroelasticityThermo-poroelasticityThermo-chemo-poroelasticityExistenceUniquenessWell-posednessArticle