Mathematical Modeling and Experimental Study of Erosion-Deposition Process in Deformable Porous Media

Abstract: The work is dedicated to the experimental and numerical study of a coupled erosion and deposition process in deformable porous media. The mathematical model is based on the theory of flow in deformable porous media with mass-variable skeleton. The experiment involves clogging of samples with clay solution and subsequent washing by injection of water. 3-D numerical simulation of water injection into the layer is performed. It is shown that precipitation of particles which were eroded from the solid phase by fluid flow near a well (suffosion) causes clogging of porous space at some distance from the injecting well where the flow velocity is lower. Parallel AMGCL solver library is used for calculations on a GPU. New block matrix preconditioner is developed to achieve fast solution of the coupled displacements-pressure linear system