Rayleigh波在饱和半空间中圆形洞室周围的散射

发布时间：2018-03-24 09:45

  本文选题：饱和半空间　切入点：圆形洞室　出处：《岩土力学》2017年08期

【摘要】：基于Biot的两相介质理论,采用间接边界积分方程法,求解了Rayleigh波在饱和半空间中圆形洞室周围的二维散射问题,分析了入射波频率、孔隙率、边界渗透条件和洞室埋深等参数对地表位移幅值、洞室表面和地表孔隙水压力的影响。研究结果表明,由于圆形洞室的存在,饱和半空间地表位移幅值和地表孔隙水压被明显放大:在透水条件下,水平和竖向位移最大值分别比自由场放大了10.1倍和11.2倍;在不透水条件下,水平和竖向位移最大值分别比自由场放大了12.0倍和9.6倍,地表孔隙水压力放大了2.1~3.0倍。地表位移和孔隙水压力最大值均出现在入射波近端洞室边界附近。随着Rayleigh波入射频率的增大和洞室埋深的增加,地表位移幅值的放大作用有所减小。在相同孔隙率条件下,当入射频率为1.0时,洞室表面孔隙水压力最大;当入射频率为2.0时,洞室表面孔隙水压力最小,洞室表面最大孔隙水压力出现在洞室顶部。
[Abstract]:Based on Biot's two-phase medium theory and indirect boundary integral equation method, the two-dimensional scattering problem of Rayleigh wave around a circular cavity in saturated half-space is solved. The incident wave frequency and porosity are analyzed. The effects of boundary permeation conditions and cave depth on the surface displacement amplitude, pore water pressure on the surface of the cavern and the surface pore water pressure are studied. The amplitude of surface displacement and surface pore water pressure in saturated half-space are obviously enlarged: the maximum horizontal and vertical displacement are 10.1 and 11.2 times larger than those of free field under permeable condition, respectively, and in impermeable condition, the maximum value of horizontal displacement and vertical displacement is 11.2 times larger than that of free field, respectively. The maximum horizontal and vertical displacement are 12.0 and 9.6 times larger than the free field, respectively. The surface pore water pressure increases by 2.1 ~ 3.0 times. The maximum surface displacement and pore water pressure appear near the boundary of the cavern near the incident wave. With the increase of the incidence frequency of the Rayleigh wave and the increase of the buried depth of the cavity, the surface displacement and pore water pressure are increased. Under the same porosity, when the incident frequency is 1.0, the pore water pressure of the cavity surface is the largest, and when the incident frequency is 2.0, the pore water pressure of the cavity surface is the smallest. The maximum pore water pressure on the surface of the cavern appears at the top of the cave.
【作者单位】： 天津大学建筑工程学院;天津大学天津市土木工程结构及新材料重点实验室;天津城建大学天津市软土特性与工程环境重点实验室;
【基金】：国家自然科学基金项目(No.51378348)~~
【分类号】：P315.9

【相似文献】

相关期刊论文 前10条

1 M.I.Todorovska,V.W.Lee;关于圆形浅谷对Rayleigh波的反应的注记——分析方法(英文)[J];地震工程与工程振动;1990年01期

2 张建军,魏修成,刘洋;Methods to increase the depth and precision of transient Rayleigh wave exploration[J];Journal of Coal Science & Engineering(China);2004年01期

3 王鹏;王军;蔡袁强;丁光亚;;饱和地基表面基础在Rayleigh波作用下的摇摆振动分析[J];岩土力学;2012年12期

4 梁建文;魏新磊;LEE Vincent W;;圆弧形沉积谷地对Rayleigh波三维散射解析解[J];天津大学学报;2009年01期

5 Richard D Miller;徐义贤;罗银河;陈超;刘江平;Julian Ivanov;;High-Frequency Rayleigh-Wave Method[J];Journal of Earth Science;2009年03期

6 D. M. Shaw ,支霞臣;微量元素熔融模型[J];地质地球化学;1983年06期

7 Lu Jianqi;Li Shanyou;Li Wei;Tang Lihua;;A hybrid inversion method of damped least squares with simulated annealing used for Rayleigh wave dispersion curve inversion[J];Earthquake Engineering and Engineering Vibration;2014年01期

8 ;Dynamic response of utility tunnel during the passage of Rayleigh waves[J];Earthquake Science;2010年01期

9 赵亮;杨海波;;基于运动学特征的Rayleigh面波数值模拟方法[J];科技传播;2011年04期

10 王磊;赵成刚;;饱和土沉积谷场地对平面Rayleigh波的散射[J];岩土工程学报;2007年02期

相关会议论文 前6条

1 张碧星;喻明;熊伟;兰从庆;;利用Rayleigh面波获取介质层状信息的新方法[A];1996年中国地球物理学会第十二届学术年会论文集[C];1996年

2 Chunying Yang;Yun Wang;Jun Lu;;Application of Rayleigh waves on PS-wave static corrections[A];中国科学院地质与地球物理研究所2012年度（第12届）学术论文汇编——固体矿产资源研究室[C];2013年

3 JOS，

本文编号：1657749