Nonlinear finite volume discretization of geomechanical problem

Elliptic differential operators describe a wide range of processes in mechanics relevant to geo-energy applications. Extensively used reservoir modeling, the Finite Volume Method with TPFA can be consistently applied discretize only specific type application under severe assumptions. In this paper, we introduce positivity preserving Nonlinear Two Point Stress Approximation (NTPSA) based on recently developed collocated scheme for linear elastic mechanics. The gradient reconstruction is different from one TPFA, but similar form weighting employed reconstruct traction vector at each interface. convergence tested homogeneous anisotropic stiffness tensor. motivation behind implementation new discretization framework develop uniform technique monotonicity generic poromechanics