饱和多孔介质中热弹耦合对体波传播特性的影响分析

doi:10.13722/j.cnki.jrme.2019.0848

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摘要基于饱和多孔介质的研究成果，考虑热效应的影响，研究饱和多孔热弹性介质中体波的传播特性。利用饱和土中耦合热的动量平衡方程、渗流连续方程和双相位滞后传热模型，建立问题的热弹性波动方程。通过引入势函数，经过理论推导给出饱和多孔热弹性介质中体波的弥散特征方程。结合数值算例分析4种热弹性体波(P1波、P2波、S波和热波)的波速随频率、孔隙率、渗透系数、热膨胀系数、热传导系数和热通量与温度梯度的相位延迟时间等热物性参数的变化规律。结果表明：热膨胀系数的增大将引起P1波和P2波的波速增大以及热波的波速减小；热传导系数和温度梯度的相位延迟时间的增加仅引起热波的波速增大；热通量的相位延迟时间的增加仅造成热波的波速减小；频率、孔隙率和渗透系数等物理参数对各类热弹性波的波速均有较大影响，不可忽视。

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	柳鸿博1
	周凤玺1
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	张瑞玲1
	岳国栋1

关键词 ：土力学, 饱和土, 热弹性波, 双相位滞后模型, 波速, 传播特性

Abstract：Based on the research results of saturated porous medium and considering the influence of thermal effect，the propagation characteristics of body waves in saturated porothermoelastic medium are studied in this paper. The thermoelastic wave equations are established by means of thermal coupling momentum balance equation and seepage continuity equation in porothermoelastic medium and the dual-phase-lag model. By introducing potential functions，the dispersivity characteristic equations of body waves in saturated porothermoelastic medium are derived theoretically. The velocity variation of four body waves(P1 wave，P2 wave，S wave and thermal wave) with thermal physical parameters such as frequency，porosity，permeability coefficient，thermal expansion coefficient，thermal conductivity and phase-lag of heat flux and temperature gradient is analyzed with numerical examples. The results show that the increase of thermal expansion coefficient will cause the increase of wave velocity of P1 wave and P2 wave and the decrease of wave velocity of thermal wave. The increase of thermal conductivity and phase-lag of temperature gradient will only cause the increase of wave velocity of thermal wave，while the increase of phase-lag of heat flux only causes the decrease of wave velocity of thermal wave. The variations of frequency，porosity and permeability coefficient have a great influence on the wave velocity of various thermoelastic waves，which cannot be ignored.

Key words： soil mechanics saturated soil thermoelastic waves dual-phase-lag model wave velocity；propagation characteristics

引用本文:

柳鸿博1，周凤玺1，2，张瑞玲1，岳国栋1. 饱和多孔介质中热弹耦合对体波传播特性的影响分析[J]. 岩石力学与工程学报, 2020, 39(S1): 2693-2702.
LIU Hongbo1，ZHOU Fengxi1，2，ZHANG Ruiling1，YUE Guodong 1. Effects of thermoelastic coupling on the propagation of body waves in saturated porous media. , 2020, 39(S1): 2693-2702.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2019.0848 或 http://rockmech.whrsm.ac.cn/CN/Y2020/V39/IS1/2693

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