PFLOTRAN中顺序热-孔隙弹性公式的验证
Verification of a sequential thermo-poroelasticity formulation in PFLOTRAN
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中文总结 AI 辅助
在PFLOTRAN框架中实现了热-水-力耦合，采用顺序非迭代固定应力分裂策略，通过基准测试验证了孔隙弹性与热-孔隙弹性响应，并提出了处理不连续性的方法。
中文摘要 AI 辅助
我们介绍了在PFLOTRAN框架内实现的热-水-力耦合能力的验证，重点是基于基准的THM实现评估。质量和能量平衡的热-水方程在控制体积块或Voronoi单元上求解，而准静态动量平衡在基于单元的双重网格上求解。耦合采用严格的顺序非迭代固定应力分裂策略，其中TH系统隐式求解压力和温度，随后进行位移未知量的力学更新。针对孔隙弹性和热-孔隙弹性基准设置了多个验证问题，展示了与压力扩散、温度场和力学变形的解析或半解析基准响应的一致性。此外，我们提出了一种基于力学和流动自由度映射的不连续性（例如裂缝）处理方法，并通过与解析解的比较验证了该方法。这项工作为PFLOTRAN中的热-孔隙弹性耦合奠定了基础，并为涉及地质多孔介质中耦合热-水-力过程的各种应用（例如增强型地热系统和其他地下储能）提供了坚实的建模基础。
英文摘要
We present the verification of a thermo--hydrologic--mechanical capability implemented within the PFLOTRAN framework, with emphasis on benchmark-based assessment of the THM implementation. The thermal--hydrologic (TH) equations for mass and energy balance are solved on control-volume blocks or Voronoi cells, while the quasi-static momentum balance is solved on an element-based dual mesh. The coupling is achieved using a strictly sequential, non-iterative fixed-stress split strategy in which the TH system is solved implicitly for pressure and temperature, followed by a mechanics update for the displacement unknowns. Several verification problems are set up against poroelastic and thermo-poroelastic benchmarks, demonstrating agreement with analytical or semi-analytical benchmark responses for pressure diffusion, the temperature field, and mechanical deformation. In addition, we propose a treatment for discontinuities (e.g., fractures) based on mapping between mechanical and flow degrees of freedom, and validate the approach by comparison to an analytical solution. This work establishes the basis for thermo-poroelastic coupling in PFLOTRAN and provides a solid modeling foundation for a range of applications (e.g., enhanced geothermal systems and other subsurface energy storage) involving coupled thermal--hydrologic--mechanical (THM) processes in geologic porous media.
