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.

中文翻译：

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可变形多孔介质侵蚀-沉积过程的数学建模与实验研究

摘要

这项工作致力于可变形多孔介质中耦合侵蚀和沉积过程的实验和数值研究。该数学模型基于具有质量可变骨架的可变形多孔介质中的流动理论。该实验包括用粘土溶液堵塞样品，然后通过注入水进行清洗。执行注水到地层的 3-D 数值模拟。结果表明，在井附近流体流动（窒息）从固相侵蚀的颗粒沉淀会导致距离注入井一定距离处的多孔空间堵塞，在那里流速较低。并行 AMGCL 求解器库用于在 GPU 上进行计算。开发了新的块矩阵预处理器以实现耦合位移-压力线性系统的快速求解。