论文标题
对流驱动的冷却,变形和热弹性介质破裂的数值建模
Numerical modelling of convection-driven cooling, deformation and fracturing of thermo-poroelastic media
论文作者
论文摘要
多孔培养基中以对流为导向的冷却会影响热孔机械应力,从而导致变形。这些过程受到骨折的存在的强烈影响,骨折的存在占据了流动和传热。同时,裂缝因应力状态变化而变形并传播。从数学上讲,管理物理学的模型紧密耦合,必须解释裂缝引入的强烈不连续性。在过去的十年中,受许多多孔媒体应用程序的促进,对这种耦合模型的研究基本上对多孔媒体的流程进行了高级建模。 在这项工作的基础上,这项工作提出了一种新型模型,该模型将裂缝的流动,传热,变形和传播与基质中的流动,传热和热弹性性。该模型基于多孔培养基中断裂的显式表示,并使用多点有限体积方法离散。裂缝的摩擦接触和非渗透条件是通过主动集合方法来处理的,而基于应力强度因子的传播标准控制裂缝延伸。考虑到强制和自然对流过程,数值结果表明了热pormenical断裂变形和传播的复杂性质。
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.