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陆世锋, 冯世进. 固相可降解土体多场耦合模型及有限体积法数值实现[J]. 岩土工程学报, 2023, 45(7): 1438-1450. DOI: 10.11779/CJGE20220486
引用本文: 陆世锋, 冯世进. 固相可降解土体多场耦合模型及有限体积法数值实现[J]. 岩土工程学报, 2023, 45(7): 1438-1450. DOI: 10.11779/CJGE20220486
LU Shifeng, FENG Shijin. Multi-field coupled model for solid-phase degradable soils and its numerical implementation using finite volume method[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(7): 1438-1450. DOI: 10.11779/CJGE20220486
Citation: LU Shifeng, FENG Shijin. Multi-field coupled model for solid-phase degradable soils and its numerical implementation using finite volume method[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(7): 1438-1450. DOI: 10.11779/CJGE20220486

固相可降解土体多场耦合模型及有限体积法数值实现

Multi-field coupled model for solid-phase degradable soils and its numerical implementation using finite volume method

  • 摘要: 固相可降解土体内部作用异常复杂,分析其水–力–热–化多场耦合行为对于解决相关工程问题具有重要意义。基于多孔介质基本理论,从可降解土体固液气三相系统的质量、动量及能量守恒出发,建立了考虑降解相变、液气运移、骨架变形、热量传递等过程的多场耦合理论模型。以液相压力、气相压力、组分质量分数、溶质质量浓度、温度、骨架位移和孔隙率为基本未知量,采用有限体积法对耦合模型控制方程进行数值离散,以顺序耦合的求解思路对耦合模型进行求解,并研发了相应的数值求解器。开展砂柱排水试验、多孔介质中溶质迁移和传热过程、可降解生活垃圾试验的模拟,验证了耦合模型及数值求解器的正确性。模型及程序有助于加深对可降解土体多场耦合模型控制方程建立、本构关系确定以及数值实现的理解,为相关可降解土体多场耦合模型建立奠定基础。

     

    Abstract: The internal interaction of solid-phase degradable soils is extremely complex, and analysis of its hydraulic- mechanical-thermal-chemical multi-field coupled behaviors is of great significance for analyzing the related engineering problems. Based on the basic theory of porous media, a multi-field coupled model is developed by incorporating the mass, momentum and energy conservation of the degradable soils characterized by a solid-liquid-gas three-phase system. The coupled model considers the degradation phase transition, liquid-gas migration, skeleton deformation and heat transfer. By selecting the liquid phase pressure, gas phase pressure, mass fraction of gas components, liquid solute concentration, temperature, skeleton displacement and porosity as the basically unknown variables, the finite volume method is used to numerically discretize the governing equations for the established coupled model, and sequentially the solving method is adopted to iteratively solve the coupled model. In addition, the corresponding numerical solver is developed. The simulations of sand column drainage tests, solute migration and heat transfer in porous media, and degradable municipal solid waste experiments are conducted to verify the correctness of the coupled model and the numerical solver. The model and program will help to enhance the understanding of the derivation of the governing equations, the determination of constitutive relations and the numerical implementation for the multi-field coupled model for the degradable soil. It also provides a basis for the development of multi-field coupled model of related degradable soils.

     

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