BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jan Stebel (Technical University of Liberec) DTSTART:20260504T134000Z DTEND:20260504T151000Z DTSTAMP:20260517T231734Z UID:NSCM/213 DESCRIPTION:Title: H ydro-mechanical modelling of fractured porous media: Well-posedness and it erative schemes\nby Jan Stebel (Technical University of Liberec) as pa rt of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\nAssessing the safety of deep geological repositori es requires\nrigorous modeling of coupled hydro-mechanical (HM) processes in fractured\ncrystalline rock. This involves addressing complex fracture manifolds where\nmechanical deformation and fluid flow are linked by non-l inear\, mutually\ndependent transmission conditions.\nWe present a mathema tical framework for a non-linear HM model incorporating\nfracture-matrix i nteractions\, non-penetration contact conditions\, and\naperture-dependent permeability. To solve the resulting evolution problem\,\nwe employ the R othe method for time discretization combined with a\nfixed-stress iterativ e splitting scheme. We establish the well-posedness of\nthe formulation\, identifying the stability conditions and structural\nassumptions necessary to guarantee the existence of weak solutions. These\ntheoretical bounds f urther serve as the foundation for the convergence\nanalysis of the couple d FEM-MHFEM discretization. Numerical experiments are\npresented to valida te the theoretical results and demonstrate the solver's\nrobustness in com plex geometries.\n LOCATION:https://researchseminars.org/talk/NSCM/213/ END:VEVENT END:VCALENDAR