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可变形水饱和多孔介质的冻结:第一部分——THM公式、OpenGeoSys-6实现与基准测试

Freezing of a deformable water-saturated porous medium. Part I: THM formulation, OpenGeoSys-6 implementation and benchmarking

Tymofiy Gerasimov, Christian B. Silbermann, Dmitri Naumov, Olaf Kolditz, Haibing Shao, Thomas Nagel

arXiv 2608.30591首次发表:更新:

发表机构

BGE Technology GmbH; UFZ Leipzig; Technische Universität Bergakademie Freiberg; Technische Universität Dresden(BGE技术有限公司; 莱比锡赫尔姆霍兹环境研究中心; 弗莱贝格矿业技术大学; 德累斯顿工业大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究第一部分提出耦合热-水-力学公式并在OpenGeoSys-6中实现,通过基准测试分析多孔介质冻结的关键影响因素,预告第二部分将完成代码验证并模拟钻孔热交换器周围的冰生长过程。

AI 中文摘要

在本项研究(第一部分)中,我们提出了一种耦合热-水-力学(THM)公式,用于建模和分析可变形完全饱和多孔介质中的水-冰相变过程。该公式在多物理计算平台OpenGeoSys-6中实现。我们计算了一系列精心设计的基准问题,这些问题严格检验了对应的公式组件和整体实现。我们识别出对数值结果有定性和定量影响的若干关键因素,并对其进行了详细剖析和评述。模拟还考虑了由冻结引起的土壤变形(源于水-冰相变导致的9%体积膨胀)。即将发表的第二部分将通过考虑浅层地下储冰的真实全尺寸三维案例研究,完成代码的验证与确认工作。更具体地说,我们模拟了一组包含零下温度冷却剂的钻孔热交换器(BHE)周围完全饱和土壤试样中的冰生长过程,本部分已将该任务的数值结果快照作为预告展示。

英文摘要

In this contribution, Part I, we present a coupled thermo-hydro-mechanical formulation for modeling and analyzing water-to-ice phase change in a deformable fully-saturated porous medium. It is implemented in the multi-physics computational platform OpenGeoSys-6. We compute a series of carefully designed benchmark problems which critically examine the corresponding formulation components and the overall implementation. Several ingredients that have a qualitative and quantitative impact on the numerical results are identified, particularly dissected and commented on. Simulations also account for soil deformation induced by freezing (as a result of 9% volumetric expansion caused by water-to-ice phase transition). The forthcoming Part II will complete the code verification and validation campaign by considering a real full-scale three-dimensional case study of shallow subsurface ice storage. More specifically, we simulate the ice growth process in a fully saturated soil specimen surrounding a group of borehole heat exchangers (BHEs) that contain subzero temperature coolant fluid. A snapshot of the numerical results of this task is already depicted here in Part I as a teaser.

Comments39 pages, 24 figures

论文原文

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