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P波入射下饱和冻土自由场地地震地面运动分析

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地震波的放大或衰减受场地条件的影响,因而选择符合实际情况的场地模型来分析地震地面运动极为重要。为了研究西部高寒地区冻土场地的地震地面运动特征,基于弹性波在单相弹性介质与冻结饱和多孔介质中的传播理论,建立了P波入射下基岩上覆饱和冻土自由场地模型,求得了平面P波入射情况下基岩上覆饱和冻土自由场地地震地面运动的解析解答。通过数值计算,分析了平面P波在不同入射角度下,入射频率、孔隙率、介质温度、胶结参数和接触参数等物理力学参数对饱和冻土自由场地地震地面运动的影响规律。分析结果表明:平面P波的入射频率对基岩上覆饱和冻土自由场地地表位移有显著影响。基岩上覆饱和冻土自由场地的水平位移随着平面P波入射频率增大而减小,竖向位移随入射频率增大而增大;孔隙率的增大也会导致饱和冻土自由场地水平位移增大,但其增幅随着平面P波入射角度的增加先增大后减小,竖向位移也增大,但增幅随入射角度增加逐渐减小;冻土场地中介质温度的降低会导致饱和冻土自由场地的水平位移和竖向位移减小。这表明冰相对于冻土场地中地震波传播具有重要影响;此外,泊松比也会对自由场地的位移产生一定影响,水平位移随泊松比增大而减小,增幅随平面P波入射角度增加先增大后减小。随着泊松比增大,饱和冻土自由场地的竖向位移显著增大,增幅随平面P波入射角度增加逐渐减小;接触参数的增加会导致自由场地的水平位移增大,增幅先增大后逐渐减小。同时,地表竖向位移也会增大,但增幅逐渐减小。
Seismic ground motion analysis of saturated frozen soil free field under P-wave incidence
The amplification or damping of seismic waves is impacted by the characteristics of the site,making it essential to use a precise site model for assessing seismic ground motion.To investigate the seismic ground motion properties of frozen soil sites in the western alpine region,a model is developed.This model is based on the principles of elastic wave propagation in both single-phase elastic media and frozen saturated porous media.Specifically,the model focuses on a free site of saturated frozen soil that is situated above bedrock and is subject-ed to P-wave incidence.By considering the case of plane P-wave incidence,an analytical solution for the seis-mic ground motion of this free site is derived.The seismic ground motion of a saturated frozen soil free site is an-alyzed for plane P-wave at different incidence angles using numerical calculations.The influence of physico-me-chanical parameters,such as incident frequency,porosity,medium temperature,cementation parameter,and contact parameter,on the seismic ground motion is examined.The analytical results indicate that the frequency of plane P waves significantly affects the surface displacement of the free site of saturated frozen soil overlying bedrock.The horizontal displacement of the free site of saturated frozen soil overlying bedrock diminishes as the frequency of the P wave increases,but the vertical displacement of the surface increases with higher frequencies;An increase in porosity leads to an increase in the horizontal displacement of the free surface of saturated frozen soil on bedrock.The magnitude of this increase initially rises and then falls with the increase of the angle of inci-dence of the P-wave.Additionally,vertical displacement also increases,with the magnitude of the increase de-creasing gradually as the angle of incidence increases;Decreasing the temperature of the medium reduces both the horizontal and vertical displacement of the surface of the saturated frozen soil free field on the bedrock,dem-onstrating the significant impact of the ice phase on the propagation of seismic waves in the frozen soil site;Pois-son's ratio affects the displacement of the surface of saturated frozen soil on the bedrock.As Poisson's ratio in-creases,the horizontal displacement of the surface diminishes.As the incident angle of plane P wave rises,the magnitude of this increase initially increases and subsequently declines.An increase in Poisson's ratio leads to a large rise in the vertical displacement of the surface of the free site of saturated frozen soil on the bedrock.The magnitude of this increase diminishes as the incident angle of the plane P-wave increases;An increase in contact parameters leads to a rise in the surface horizontal displacement of saturated frozen soil over bedrock.The ampli-tude of the increase first rises and then progressively diminishes.The vertical displacement of the surface grows while the amplitude of the increase steadily declines.In this paper,extending the fluctuation problem of single-phase elastic solid media,saturated soil media,or unsaturated soil media to frozen soil medium containing ice phases while considering the coupling effect of the phases in frozen soil is exceedingly significant for the study of seismic ground motion characteristics of frozen soil sites in the western alpine region.On the one hand,it can make a theoretical explanation for the ground motion of the earthquakes that have occurred in the western alpine region,and on the other hand,it can make a prediction of the ground motion characteristics of the future earth-quakes that may occur in the frozen soil sites in the alpine region,so as to provide the theoretical basis for the work of seismic small zoning and engineering site selection.In addition,the study of seismic ground motions at frozen soil sites is at the same time a prerequisite for the study of seismic response of large structures and perma-frost structure interaction in the western alpine region.

saturated frozen soilplane P-wavereflection and transmissionground motionanalytical solution

焦豪、马强、周凤玺

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青海大学 土木水利学院,青海 西宁 810016

青海省建筑节能材料与工程安全重点实验室,青海 西宁 810016

兰州理工大学 土木工程学院,甘肃 兰州 730050

饱和冻土 平面P波 反射与透射 地面运动 解析解

国家自然科学基金青海省自然科学基金面上项目中国博士后科学基金

521680532024-ZJ-9222022MD723837

2024

冰川冻土
中国地理学会 中国科学院寒区旱区环境与工程研究所

冰川冻土

CSTPCD
影响因子:2.546
ISSN:1000-0240
年,卷(期):2024.46(1)
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