Coupled model of hygro-thermal behavior of concrete during fire
Journal of Computational and Applied Mathematics
Editorial: Special section: Numerical modelling in geomechanics and geodynamics
Future Generation Computer Systems
Large scale parallel FEM computations of far/near stress field changes in rocks
Future Generation Computer Systems
Are upwind techniques in multi-phase flow models necessary?
Journal of Computational Physics
Thermo-Hydro-Mechanical-Chemical Processes in Porous Media: Benchmarks and Examples
Thermo-Hydro-Mechanical-Chemical Processes in Porous Media: Benchmarks and Examples
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In this paper, conceptual modeling as well as numerical simulation of two-phase flow in deep, deformable geological formations induced by CO"2 injection are presented. The conceptual approach is based on balance equations for mass, momentum and energy completed by appropriate constitutive relations for the fluid phases as well as the solid matrix. Within the context of the primary effects under consideration, the fluid motion will be expressed by the extended Darcy's law for two phase flow. Additionally, constraint conditions for the partial saturations and the pressure fractions of carbon dioxide and brine are defined. To characterize the stress state in the solid matrix, the effective stress principle is applied. Furthermore, the interaction of fluid and solid phases is illustrated by constitutive models for capillary pressure, porosity and permeability as functions of saturation. Based on this conceptual model, a coupled system of nonlinear differential equations for two-phase flow in a deformable porous matrix (H^2M model) is formulated. As the displacement vector acts as primary variable for the solid matrix, multiphase flow is simulated using both pressure/pressure or pressure/saturation formulations. An object-oriented finite element method is used to solve the multi-field problem numerically. The capabilities of the model and the numerical tools to treat complex processes during CO"2 sequestration are demonstrated on three benchmark examples: (1) a 1-D case to investigate the influence of variable fluid properties, (2) 2-D vertical axi-symmetric cross-section to study the interaction between hydraulic and deformation processes, and (3) 3-D to test the stability and computational costs of the H^2M model for real applications.