Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the presence of fractures, which dominate flow and heat transfer. At the same time, the fractures deform and propagate in response to changes in the stress state. Mathematically, the model governing the physics is tightly coupled and must account for the strong discontinuities introduced by the fractures. Over the last decade, and motivated by a number of porous media applications, research into such coupled models has advanced modelling of processes in porous media substantially. Building on this effort, this work presents a novel model that couples flow, heat transfer, deformation, and propagation of fractures with flow, heat transfer, and thermo-poroelasticity in the matrix. The model is based on explicit representation of fractures in the porous medium, and discretised using multi-point finite volume methods. Frictional contact and non-penetration conditions for the fractures are handled through active set methods, while a propagation criterion based on stress intensity factors governs fracture extension. Considering both forced and natural convection processes, the numerical results show the intricate nature of thermo-poromechanical fracture deformation and propagation.
翻译:在多孔介质的影响下,多孔介质驱动的冷却在多孔介质影响热阴极机械压力,从而导致变形。这些过程受到骨折的存在的强烈影响,这种骨折控制了流动和热传导。同时,骨折变形并随着压力状态的变化而扩散。从数学角度讲,物理模型是紧密结合的,必须说明骨折带来的强烈不连续性。在过去十年里,在一些多孔介质应用的驱动下,对此类结合模型的研究已大大推进了对多孔介质中过程的模拟。在这项努力的基础上,这项工作提出了一种新型模型,即双胞胎流动、热传导、变形、骨折传播与流动、热传导和热传导以及矩阵中的热聚变异性。该模型基于有孔介质介质介质介质的介质介质介质,使用多点有限体积法处理骨折接触和骨折无穿透性条件问题,通过积极设定的方法处理,同时根据压力强度因素的传播标准调节骨折延伸。考虑到强迫和自然凝聚过程、数字变变变和骨质性结果。