Malysheva, TetyanaWhite, Luther W.2023-05-302023-05-302016-01-08Malysheva, T., & White, L. W. (2016). Sufficient conditions for Hadamard well-posedness of a coupled thermo-chemo-poroelastic system. <i>Electronic Journal of Differential Equations, 2016</i>(15), pp. 1-17.1072-6691https://hdl.handle.net/10877/16887This article addresses the well-posedness of a coupled parabolic-elliptic system modeling fully coupled thermal, chemical, hydraulic, and mechanical processes in porous formations that impact drilling and borehole stability. The underlying thermo-chemo-poroelastic model is a system of time-dependent parabolic equations describing thermal, solute, and fluid diffusions coupled with Navier-type elliptic equations that attempt to capture the elastic behavior of rock around a borehole. An existence and uniqueness theory for a corresponding initial-boundary value problem is an open problem in the field. We give sufficient conditions for the well-posedness in the sense of Hadamard of a weak solution to a fully coupled parabolic-elliptic initial-boundary value problem describing homogeneous and isotropic media.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalParabolic-elliptic systemPoroelasticityThermo-poroelasticityThermo-chemo-poroelasticityHadamard well-posednessArticle