饱和黏土一维非线性固结与热传导耦合模型

doi:10.13722/j.cnki.jrme.2022.1160

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摘要为研究饱和黏土一维非线性固结与热传导耦合问题，在考虑温度变化对黏土物理力学性质影响基础上，推导得到非线性固结和热传导的控制方程，并建立相应耦合模型，该模型可考虑非线性固结过程与热传导过程的相互作用。随后，采用有限差分法对所建耦合模型进行求解，并通过与COMSOL软件和其他解析解计算结果对比，有效验证了模型的合理性。基于所建耦合模型，利用某一算例分析温度增量ΔT、先期固结压力pcR和线性加荷时间ta对固结行为影响。结果发现，温度变化会对非线性固结过程产生多方面影响，ΔT的增大整体上加快了超孔压的消散速率，也增大了沉降速率和最终沉降量；饱和黏土中超孔压的消散速率会随pcR的增大而加快，但沉降量会随pcR的增大而减小；ta的增大会降低饱和黏土中产生的最大超孔压值，也会减慢固结速率。此外，在固结过程中，以沉降定义的固结度Us小于以孔压定义的固结度Up。

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	江文豪1
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	冯晨1
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	李江山1
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关键词 ：土力学, 饱和黏土, 非线性固结, 热传导, 耦合模型, 有限差分法, 固结行为

Abstract：To investigate the coupled problem of one-dimensional nonlinear consolidation and heat conduction in saturated clay，the governing equations for nonlinear consolidation and heat conduction are derived considering the effects of temperature change on the physical and mechanical properties of clay，and a corresponding coupled model is established. This model can consider the interaction between nonlinear consolidation process and heat conduction process. Later，the finite difference method is adopted to solve the proposed coupled model，and the rationality of the model is effectively verified by comparing it with the calculation results of COMSOL software and other analytical solutions. Based on the presented coupled model，an example is used to analyze the influences of temperature increment ΔT，pre-consolidation pressure pcR and linear loading time ta on the consolidation behaviors. The results show that the temperature change has comprehensive effects on the nonlinear consolidation process，the increase of ΔT generally accelerates the dissipation rate of excess pore-water pressure，and also increases the settlement rate and final settlement. The dissipation rate of excess pore-water pressure in saturated clay increases with an increasing pcR，while the settlement decreases with an increasing pcR. The increase of ta reduces the maximum excess pore-water pressure generated in saturated clay，and also slows down the consolidation rate. In addition，it is observed that the consolidation degree Us defined by settlement is less than the consolidation degree Up defined by pore pressure during the consolidation process.

Key words： soil mechanics saturated clay nonlinear consolidation heat conduction coupled model finite difference method consolidation behavior

引用本文:

江文豪1，2，3，冯晨1，2，3，李江山1，3. 饱和黏土一维非线性固结与热传导耦合模型[J]. 岩石力学与工程学报, 2023, 42(10): 2588-2600.
JIANG Wenhao1，2，3，FENG Chen1，2，3，LI Jiangshan1，3. Coupled model for one-dimensional nonlinear consolidation and#br# heat conduction in saturated clay. , 2023, 42(10): 2588-2600.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1160 或 https://rockmech.whrsm.ac.cn/CN/Y2023/V42/I10/2588

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