Hybrid modelling of coupled pore fluid-solid deformation problems

A hybrid formulation for coupled pore fluid-solid deformation problems is p roposed. The scheme is a hybrid in the sense that we use a vertex centered finite volume formulation for the analysis of the pore fluid and a particle method for the solid in our model. The pore fluid formally occupies the sa me space as the solid particles. The size of the particles is not necessari ly equal to the physical size of materials. A finite volume mesh for the po re fluid flow is generated by Delaunay triangulation. Each triangle possess es an initial porosity. Changes of the porosity are specified by the transl ations of the mass centers of particles. Net pore pressure gradients are ap plied to the particle centers and are considered in the particle momentum b alance. The potential of our model is illustrated by means of a simulation of coupled fracture and fluid flow developed in porous rock under biaxial c ompression condition.