JZUS - Journal of Zhejiang University SCIENCE

Journal of Zhejiang University SCIENCE A 2021 Vol.22 No.12 P.992-1004

Dynamic response of bilayered saturated porous media based on fractional thermoelastic theory

Author(s): Min-jie Wen, Kui-hua Wang, Wen-bing Wu, Yun-peng Zhang, Hou-ren Xiong
Affiliation(s): Research Center of Coastal Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China; more
Corresponding email(s): 0620577@zju.edu.cn
Key Words: Bilayered saturated porous media, Thermo-hydro-mechanical (THM) coupling dynamic response, Fractional thermoelastic theory, Thermal contact resistance, Elastic wave impedance

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Abstract: Considering the thermal contact resistance and elastic wave impedance at the interface, in this paper we theoretically investigate the thermo-hydro-mechanical (THM) coupling dynamic response of bilayered saturated porous media. fractional thermoelastic theory is applied to porous media with imperfect thermal and mechanical contact. The analytical solutions of the dynamic response of the bilayered saturated porous media are obtained in frequency domain. Furthermore, the effects of fractional derivative parameters and thermal contact resistance on the dynamic response of such media are systematically discussed. Results show that the effects of fractional derivative parameters on the dynamic response of bilayered saturated porous media are related to the thermal contact resistance at the interface. With increasing thermal contact resistance, the displacement, pore water pressure, and stress decrease gradually.

基于分数阶热弹性理论的双层饱和多孔介质动力响应

目的:由于双层饱和多孔介质的界面具有空隙,且空隙中水和土体的导热系数存在明显的差异,导致界面具有非完全热接触问题,并且热传导过程中存在接触热阻现象.本文利用接触热阻模型和弹性波的反射和透射原理,构建非完全热接触界面条件.同时采用分数阶热弹性理论描述饱和多孔介质的热力学行为,探讨分数阶参数对动力响应的影响是否与热阻系数有关,并分析热阻系数对动力响应的影响.
创新点:1. 将分数阶热弹性理论引入到Biot动力方程中,构建分数阶热-水-力耦合动力模型;2. 利用接触热阻模型和弹性波的反射和透射原理,构建双层饱和多孔介质的界面非完全热接触条件.
方法:1. 通过将分数阶热弹性理论引入到热-水-力耦合动力方程中,建立分数阶热-水-力耦合动力模型;2. 采用微分算子法,在频率域内得到温度增量、位移、孔隙水压力和应力的解析表达式;3. 利用接触热阻模型和弹性波的反射和透射原理,构建双层饱和多孔介质的界面非完全热接触条件和边界条件.
结论:1. 随着分数阶导数参数α₁和α₂的增加, 温度增量、位移、孔隙水压力和应力的响应幅值明显增加.同时,分数阶导数参数对热-水-力耦合响应的影响与界面的接触热阻有关.如果界面存在接触热阻,分数阶导数对系统响应的影响减弱.分数阶导数参数揭示了双层饱和多孔介质热-水-力耦合响应的热传导过程和热动力行为.2. 分数阶导数参数α₂对温度增量、位移、孔隙水压力和应力的影响大于分数阶导数α₁的影响.而且,随着分数阶导数α₂的增加,第二层的响应幅值显著增加.3. 由于界面接触热阻的存在,界面温度增量存在跳跃现象,且随着接触热阻的增加变得更加明显.随着接触热阻的增加,位移、孔隙水压力和应力显著减小.
关键词：双层饱和多孔介质;热-水-力耦合动力响应;分数阶热弹性理论;接触热阻;弹性波阻抗

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