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多相流传输THM全耦合数值模型及程序验证

期刊名称：岩石力学与工程学报
时间：0
页码：649-665
分类：TU45[建筑科学—岩土工程;建筑科学—土工工程]
作者机构：[1]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072, [2]瑞典皇家工学院,瑞典斯德哥尔摩10044
相关基金：国家自然科学基金资助项目（50709026;50839004）;国家杰出青年基金项目（50725931）致谢本文是第一作者在瑞典皇家工学院（KTH）进行学术访问期间完成的,文中涉及的试验数据来自欧盟委员会资助的THERESA项目（FP6036458）.为此,第一作者谨对武汉大学的支持和THERESA项目的帮助表示感谢!
相关项目：暴雨诱发滑坡致灾机理、风险评估与减灾方法研究

关键词：岩石力学, 多孔介质, THM耦合, 多相流传输, 相对湿度, 吸湿膨胀, 数值模拟, 程序验证, rock mechanics, porous medium, THM coupling, multiphase flow transfer, relative humidity, moisture swelling, numerical simulation, code validation

中文摘要：

基于连续介质力学原理和混合体理论，导出多孔介质多相流THM全耦合数学模型。该模型从固、液、气三相系统的动量、质量及能量守恒出发，考虑应力-应变、水体流动、气体传输、蒸气传输、热能传输和孔隙率演化等6个过程的耦合作用，实现对相变、溶解、热驱动、湿度传输和吸湿膨胀等物理现象的模拟，确保THM耦合控制方程组的封闭性和协调性。该模型在THM耦合体系中纳入气体及蒸气传输过程，摒弃以往采用基质吸力和绝对温度定义相对湿度的传统方法，从而使描述介质气体和蒸气运移特性以及THM耦合特性的相对湿度在严格的物理意义上加以定义。通过选取位移、水压、气压、蒸气压、温度和孔隙率为基本未知量，建立有限元数值计算格式，研发三维八自由度多相流THM全耦合有限元程序THYME3D，并采用法国原子能委员会开展的膨润土THM耦合Mock-up试验对数值模型和计算程序进行验证，揭示试验过程涉及的多场耦合机制。研究结果深化对多相流THM全耦合控制方程组、本构关系及计算参数特性的理解，从而为进一步研究THMC全耦合问题奠定基础。

英文摘要：

A numerical model for fully coupled THM processes with multiphase flow in porous media was developed based on the momentum, mass and energy conservation laws of the continuum mechanics and the averaging approach of the mixture theory over a solid-liquid-gas three-phase system. To characterize multiphase THM coupling and to make the governing equations closed, complete and compatible, six processes and their coupling effects were considered, including stress-strain, water flow, gas flow, vapor flow, heat transport and porosity evolution processes. The physical phenomena such as phase transition, gas solubility in liquid, thermo-osmosis, moisture transfer and moisture swelling were modeled. As a result, the relative humidity of pore gas was defined on a sounder physical basis, avoiding the traditional definition as a negative exponential function of suction and absolute temperature. By selecting displacements, pore water pressure, pore gas pressure, pore vapor pressure, temperature and porosity as basic unknown variables, a finite element formulation was then established, and a three-dimensional computer code, THYME3D, was developed, with each node of 8 degrees of freedom. The bentonite THM Mock-up experiments performed by CEA were employed to validate the mathematical model and the software. The main coupling mechanisms involved in the experiments were satisfactorily simulated in the validation, and the effects of the governing equations, the constitutive relations and the parameters on the coupled THM processes were understood. The work developed enabled further in-depth research on fully coupled THM or THMC processes in porous media.

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