2020/12/11 by Ivar Stefansson, Stefansson, Ivar, Eirik Keilegavlen +5
Engineering · Environmental Science · #FOS: Mathematics #Hydraulic Fracturing and Reservoir Analysis #Landslides and related hazards #Numerical Analysis (math.NA) #Rock Mechanics and Modeling
paper · pdf · doi:10.48550/arxiv.2012.06493
openalex publication_date 2020/12/11 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Convection-driven cooling in porous media influences thermo-poro-mechanical\nstresses, thereby causing deformation. These processes are strongly influenced\nby the presence of fractures, which dominate flow and heat transfer. At the\nsame time, the fractures deform and propagate in response to changes in the\nstress state. Mathematically, the model governing the physics is tightly\ncoupled and must account for the strong discontinuities introduced by the\nfractures. Over the last decade, and motivated by a number of porous media\napplications, research into such coupled models has advanced modelling of\nprocesses in porous media substantially.\n Building on this effort, this work presents a novel model that couples flow,\nheat transfer, deformation, and propagation of fractures with flow, heat\ntransfer, and thermo-poroelasticity in the matrix. The model is based on\nexplicit representation of fractures in the porous medium, and discretised\nusing multi-point finite volume methods. Frictional contact and non-penetration\nconditions for the fractures are handled through active set methods, while a\npropagation criterion based on stress intensity factors governs fracture\nextension. Considering both forced and natural convection processes, the\nnumerical results show the intricate nature of thermo-poromechanical fracture\ndeformation and propagation.\n