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热效应下P波入射基岩-饱和土-非饱和土场地地震地面运动研究

STUDY ON SEISMIC GROUND MOTION OF BEDROCK-SATURATED SOIL-UNSATURATED SOIL SITE WITH P-WAVE INCIDENT UNDER THERMAL EFFECT

  • 摘要: 基于热效应下弹性波的传播理论, 通过建立P波入射基岩-饱和土-非饱和土场地模型, 研究了该场地下地震地面运动的问题. 采用Helmholtz分解原理, 结合边界条件, 对热效应作用下场地中的波场进行分析, 得到平面P波入射基岩-饱和土-非饱和土场地地震地面运动的解析解答. 通过数值模拟, 分析了热传导系数、饱和度、地下水水位等物理力学参数对场地地震地面运动的影响规律. 研究结果表明: 在考虑热效应和等温条件两种模型时, 场地位移放大系数表现出显著的差异. 特别地, 在等温条件下位移放大系数普遍大于考虑热效应时的值; 水平位移放大系数的变化趋势与热膨胀系数及热通量相位延迟时间的增长呈正相关性. 与此同时, 当介质温度和饱和度增加时, 水平位移放大系数则表现出下降的趋势; 对于竖向位移放大系数, 其变化模式与热通量相位延迟时间、介质温度和饱和度的增长呈正相关. 然而, 当热膨胀系数增加时, 竖向位移放大系数呈现出减小的趋势; 此外, 热传导系数的增加对自由场地位移放大系数的影响不明显, 表明热传导系数对场地位移放大系数的变化作用较小; 在考虑地下水水位的影响时, 热效应下随着地下水水位的升高, 水平和竖向位移放大系数逐渐增大. 相反, 在等温条件下的位移放大系数均随之减小.

     

    Abstract: Based on the theory of elastic wave propagation under thermal effect, the problem of seismic ground motion under the site is studied by establishing the model of P wave incident bedrock-saturated soil-unsaturated soil site. Based on the Helmholtz decomposition principle, combined with the boundary conditions, the wave field in the site under the thermal effect is analyzed, and the analytical solution of the seismic ground motion of the plane P wave incident bedrock-saturated soil-unsaturated soil site is obtained. Through numerical simulation, the influence of physical and mechanical parameters such as thermal conductivity, saturation and groundwater level on the seismic ground motion of the site is analyzed. The results show that when considering the thermal effect and isothermal conditions, the site displacement amplification coefficient shows a significant difference. In particular, the displacement amplification factor under isothermal conditions is generally greater than the value when the thermal effect is considered; the change trend of the horizontal displacement amplification coefficient is positively correlated with the increase of the thermal expansion coefficient and the phase delay time of the heat flux. At the same time, when the medium temperature and saturation increase, the horizontal displacement amplification coefficient shows a downward trend; For the vertical displacement amplification factor, its change pattern is positively correlated with the increase of heat flux phase delay time, medium temperature and saturation. However, when the thermal expansion coefficient increases, the vertical displacement amplification coefficient shows a decreasing trend. In addition, the increase of the thermal conductivity has no significant effect on the displacement amplification factor of the free site, indicating that the thermal conductivity has little effect on the change of the displacement amplification factor of the site. When considering the influence of groundwater level, the horizontal and vertical displacement amplification coefficients gradually increase with the increase of groundwater level under thermal effect. On the contrary, the displacement amplification coefficient decreases under isothermal conditions.

     

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