层状粘弹性介质中SH波的反射、透射问题   总被引：1，自引：0，他引：1  

郭智奇  刘财  张凤琴 《吉林大学学报(地球科学版)》2005,(Z1)

处理粘弹性介质有两种方法,一种是在运动方程中加入介质的粘滞性因素,另一种是从本构方程入手,建立介质的粘弹性模型。后一种方法在研究介质物理性质上具有直接性,是目前使用较为普遍的处理方法。从本构方程的角度,以波尔兹曼(Bo ltzm ann)叠加原理为基础,建立积分型本构方程,进而建立粘弹性介质波动方程,得到二维粘弹性平面波解,并研究了层状粘弹性介质分界面处平面波的反射、透射问题,计算反射、透射系数CR、CT,同时进行了一定的理论分析。  相似文献   

Surface motion of a cylindrical hill of circular-arc cross-section for incident plane SH waves   总被引：2，自引：0，他引：2  

Xiaoming Yuan  Zhen-Peng Liao 《Soil Dynamics and Earthquake Engineering》1996,15(3):189-199

A closed-form solution of two-dimensional scattering of plane SH waves by a cylindrical hill of circular-arc cross-section in a half-space is presented using the wave functions expansion method. The solution is reduced to solving a set of infinite linear algebraic equations, using the auxiliary functions and the exterior region form of the Graf's addition theorem. Numerical solutions are obtained by truncation of the infinite equations and their accuracies are demonstrated by convergence of the numerical results and by the extent to which the numerical results fit the exact boundary conditions with increasing the truncation order. The numerical results for some typical cases are then presented for checking accuracies of various numerical methods. The effects of the height-to-width ratio of the hill on surface ground motion are finally illustrated.  相似文献   

综合工程物探在上海地铁四号线抢险工程中的应用   总被引：3，自引：0，他引：3  

王治华  夏学礼 《上海国土资源》2003,(3):33-40

在上海地铁四号线抢险工程中,综合工程物探快速、准确地圈定了受地面沉降影响,周边土体的扰动范围及深度,并对江底隧道的状况进行了调查。文章介绍了用地质雷达、高分辨率SH波浅层反射波法、瞬态瑞雷面波法勘探及水上高密度多波列地震影像法等综合工程物探方法在该工程中的应用前提及效果。  相似文献   

Three-dimensional modelling of upper mantle structure under the Pacific Ocean and surrounding area     

Yu Shen Zhang  Toshiro Tanimoto 《Geophysical Journal International》1989,98(2):255-269

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用波函数展开法求解界面圆孔的SH波散射问题   总被引：2，自引：1，他引：1  

何钟怡  樊洪明 《地震工程与工程振动》2000,20(3):1-7

研究了ＳＨ波绕界面圆孔散射的波函数展开理论。由入射,反射和透射波组成的自由波场与孔的散射场叠加成总波场。将定义于两个半平面的散射场按一定方式延拓到全平面。通过Ｈａｎｋｅｌ－Ｆｏｕｒｉｅｒ型积分来满足界面与孔缘处的边界条件,得到了确定特定系数的封闭代数方程组。给出了具体算例,计算了孔缘处的动应力系数分布。  相似文献   

Use of magnetic measures to assess soil redistribution following deforestation in hilly region   总被引：1，自引：0，他引：1  

Parisa Mokhtari Karchegani  Shamsollah Ayoubi  Sheng Gao Lu  Naser Honarju 《Journal of Applied Geophysics》2011,75(2):227-236

Limited information is available about the use of magnetic susceptibility property to determine soil redistribution in hilly areas of the semi-arid regions. This study was conducted to evaluate the use of magnetic properties to determine soil redistribution along a hill slope following deforestation. The study area is located in the Quaternary hilly region of Lordegan district in west Iran. Ten transects were established in two land uses that included natural Querqus forested and cultivated lands. Soil samples were collected at different positions along the slope and magnetic properties (χlf, χhf, SIRM, ARM, and χfd) and selected physico-chemical properties were determined. The results (based on the χfd, SIRM/ARM) showed that the magnetic susceptibly in the calcareous materials is pre-dominantly derived during the pedogenic processes and the superparamagnetic particles which were transported to lower positions of hill slope following deforestation. The results confirmed that this methodology could be applied for monitoring soil redistribution along the slope in calcareous hilly areas in the semi-arid regions.  相似文献   

圆弧状凹陷地形在平面SH波入射下的动力响应：高频解答   总被引：1，自引：0，他引：1  

杨彩红 《震灾防御技术》2009,4(2):158-166

利用波函数的Fourier-Bessel级数展开法和外域型Graf加法公式,推导了圆弧状凹陷地形对平面SH波二维散射问题的解析解。与现有其他解析解不同的是,该解析解的获得无须求解线性方程组,从而避免了高频波入射下方程组系数矩阵可能出现的病态问题。因此,既使在入射波频率很高的情况下,该解析解也能够收敛。利用该解,在一个非常宽的频带范围内讨论了凹陷地形的几何形状对地面运动的影响。  相似文献   

SH波场中完全匹配层吸收边界研究(英文)   总被引：4，自引：1，他引：3  

刘炯  马坚伟  杨慧珠 《应用地球物理》2009,6(3):267-274

无限域中的波动方程数值模拟往往需要稳定有效的吸收边界来消除人为边界截断所引起的虚假反射.本文首先写出了全匹配层(PML)内SH波的波动方程推导结果,并给出了方程的Crank-Nicolson计算格式与其中窄间导数2阶,6阶,10阶精度的有限差分算法以及伪谱法算法.然后设计了均匀各向同性介质模型和分层溶洞模型并引入图像处理中的信噪比(SNR)概念来定量研究边界吸收效果同PML宽度、不同精度算法的关系.数值结果表明当匹配层宽度比较薄时可以用低精度的有限差格式来获得比较好的吸收效果,当匹配层比较宽时,采用高精度的算法可以获得很好的吸收效果.最后对"反射系数"进行了讨论,指出"反射系数"的不足和文中用SNR来定量衡量吸收边界  相似文献   

Effect of underground cavities on surface earthquake ground motion under SH wave propagation   总被引：2，自引：0，他引：2  

C. Smerzini  J. Avilés  R. Paolucci  F. J. Sánchez‐Sesma 《地震工程与结构动力学》2009,38(12):1441-1460

A theoretical approach is presented to study the antiplane seismic response of underground structures, subjected to the incidence of both plane and cylindrical waves. The structure is assumed to be a circular inclusion embedded in a homogenous, isotropic and linear visco‐elastic halfspace. The inclusion may consist either of a cavity, with or without a ring‐shaped boundary, or it may be filled in with a linear‐elastic material, without loss of generality. The analytical solution is obtained using expansions of wave functions in terms of Bessel and Hankel functions, relying on the technique of images and the use of Graf's addition theorem to enforce the boundary conditions. The effects of underground cavities on surface earthquake ground motion are studied as a function of the size of the cavity, its embedment depth, the frequency content of the excitation, the incidence angle and the distance from the axis of symmetry of the cavity itself. A simple application of Rayleigh's method allows us to verify that the ground surface response is dominated by the fundamental vibration mode of the portion of soil between the cavity and ground surface itself, in the frequency range of interest for engineering purposes. A simple relationship to estimate the fundamental natural frequency as a function of the embedment depth of the cavity is given. Finally, amplification factors on response spectra are obtained, to provide a practical insight into the effect of an underground cavity on surface ground motion during real earthquakes. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

岩溶地区复杂条件下的浅层地震方法应用研究   总被引：2，自引：0，他引：2  

甘伏平  马祖陆  喻立平 《地质与勘探》2005,41(3):75-78

地震记录质量的好坏极大地影响地震方法解释的可靠程度.在岩溶地区复杂地质条件下,为了获取高质量的记录,合理地选择地震方法,合适地布置测线,尽一切努力来压制干扰,是取得探测成功的关键.探测实例表明,在覆盖层厚度不超过20m的条件下,浅层地震反射法、折射法联合探测可获得良好的地质效果.作为一种有效的探查技术,等偏移横波(SH)反射法具有探测迅速,易于探测土洞、地下岩溶裂隙带的特点.  相似文献