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马强, 杨奕琪, 周凤玺, 邵生俊. 热效应作用下P波入射非饱和土自由场地地震响应研究[J]. 岩土工程学报. DOI: 10.11779/CJGE20230841
引用本文: 马强, 杨奕琪, 周凤玺, 邵生俊. 热效应作用下P波入射非饱和土自由场地地震响应研究[J]. 岩土工程学报. DOI: 10.11779/CJGE20230841
Seismic response study of free-field earthquakes in unsaturated soils with P-wave incidence under thermal effects[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20230841
Citation: Seismic response study of free-field earthquakes in unsaturated soils with P-wave incidence under thermal effects[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20230841

热效应作用下P波入射非饱和土自由场地地震响应研究

Seismic response study of free-field earthquakes in unsaturated soils with P-wave incidence under thermal effects

  • 摘要: 基于单相热弹性介质和非饱和多孔热弹性介质中波的传播理论,建立了平面P波入射下非饱和土自由场地模型,采用亥姆霍兹矢量分解原理,对热效应作用下非饱和土自由场地中的波场进行分析,获得了热效应作用下平面P波入射非饱和土自由场地地震响应的解析解答。通过数值计算,分析了热传导系数、介质温度、热膨胀系数等热物性参数对非饱和土自由场地地震响应所产生的影响规律。研究结果表明:考虑热效应和不考虑热效应的两种理论模型下所得到的地表位移放大系数有着明显差异;水平位移放大系数随着热传导系数的增大而逐渐增大,但竖向位移放大系数几乎不发生变化;随着热膨胀系数的增大,水平位移放大系数逐渐增大,竖向位移放大系数逐渐减小;随着介质温度的增大,水平位移放大系数逐渐减小,竖向位移放大系数逐渐增大;此外,随着饱和度的增大,水平位移放大系数逐渐减小,竖向位移放大系数逐渐增大,说明土体中气相的存在对地表位移放大系数有着明显的影响。

     

    Abstract: Based on the theory of wave propagation in single-phase thermoelastic media and unsaturated porous thermoelastic media, a free-field model of unsaturated soil under plane P-wave incidence is established, and the Helmholtz vector decomposition principle is adopted to analyze the wave field in the free-field of unsaturated soil under the action of thermal effect, and analytical solutions for the seismic response of the free-field of unsaturated soil under the action of thermal effect with plane P-wave incidence are obtained. The influence of thermal physical parameters such as thermal conductivity, medium temperature, and thermal expansion coefficient on the seismic response of an unsaturated soil-free field is analyzed through numerical calculations. The results show that: the displacement magnification factors of the ground obtained under the two theoretical models considering thermal effect and not considering thermal effect have apparent differences; the horizontal displacement magnification factor gradually increases with the increase of thermal conductivity, but the vertical displacement magnification factor is almost unchanged; the horizontal displacement magnification factor gradually increases with the increase of the coefficient of thermal expansion, while the vertical displacement magnification factor decreases gradually; With the increase of medium temperature, the horizontal displacement magnification factor decreases, and the vertical displacement magnification factor gradually increases; in addition, with the increase of saturation degree, the horizontal displacement magnification factor gradually decreases, and the vertical displacement magnification factor gradually increases, which indicates that the existence of gas phase in the soil has a significant influence on the surface displacement magnification factor.

     

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