共查询到20条相似文献，搜索用时 31 毫秒
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针对具有饱和土沉积层的充水河谷对平面瑞雷波的散射问题,把半空间场地用单相弹性介质模拟,河谷中的饱和土沉积层用Biot饱和多孔介质动力理论模拟,河谷中的水假定为无黏性流体（理想流体）,利用波函数展开法在频域内给出了具有饱和土沉积层的圆弧形充水河谷对平面瑞雷波散射问题的解析解答.文中给出了算例,计算了不同输入频率和高宽比时河谷谷底的位移幅值.算例表明由于具有饱和土沉积层的充水河谷存在,使得河谷谷底的位移幅值放大4倍多,并且它的幅值随着河谷谷底位置的不同而产生较大的变化. 相似文献
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把波函数展开方法用于饱和多孔介质中波的传播的研究中,给出了不同土层界面条件（透水条件和不透水条件）下具有饱和土沉积层的圆弧形沉积河谷场地对平面SV波散射问题的解析解. 其中沉积谷软土场地用饱和多孔介质的Biot动力学理论模拟,半空间场地用单相介质弹性动力理论模拟. 对于入射角大于临界入射角时,产生的面波的波函数用有限Fourier级数展开,这种方法适用于较大的入射波频率范围,这是现存的数值方法所不能比拟的一大优点. 文中算例分析了入射波频率和入射角对地震地面运动的影响. 相似文献
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以Biot饱和多孔介质动力学理论为基础,利用Fourier Bessel级展开法,给出了饱和多孔介质半空间中半球形凹陷地形对入射平面SV波散射问题的解析解.利用这一解析解数值计算地表位移幅值,分析入射角、入射波频率对地表位移幅值的影响,并与现存的单相介质情况下三维半球形凹陷问题解析解进行对比得出如下结论：(1)本文两相介质模型与单相介质模型有很大区别;(2)入射角、入射频率对场地表面位移分量有重要影响;(3)随着入射角、入射频率的增大,地表位移分布变得更复杂,且放大效应比单相介质模拟结果更加显著. 相似文献
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饱和土中浅圆弧状埋置基础对平面P波散射解答 总被引：1，自引：0，他引：1
在Biot饱和多孔介质动力学理论的基础上,利用Fourier—Bessel级数展开法,首次得到饱和土中浅圆弧状埋置基础对平面波散射问题的解答．并利用该解对有埋置基础的饱和土场地地面运动的幅值及其分布进行分析,研究了基础弹性对平面P波作用下饱和土地基与基础动力相互作用的影响。 相似文献
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The reflection of plane waves in a poroelastic half-space saturated with inviscid fluid 总被引：8，自引：2，他引：8
Chi-Hsin Lin Vincent W. Lee Mihailo D. Trifunac 《Soil Dynamics and Earthquake Engineering》2005,25(3):205-223
This paper discusses surface displacements, surface strain, rocking, and energy partitioning during reflection-of-plane waves in a fluid-saturated poroelastic half-space. The medium is modeled by Biot's theory, and is assumed to be saturated with inviscid fluid. A linear porosity-modulus relation based on experimental data on sandstones is used to determine the material parameters for Biot's model. Numerical results in terms of angle of incident waves and Poisson's ratio are illustrated for various porosities and degrees of solid frame stiffness. The results show that the amount of solid frame stiffness controls the response of a fluid-saturated porous system. A poroelastic medium with essentially dry-frame stiffness behaves like an elastic medium, and the influence of pore fluid increases as dry-frame stiffness is reduced. The effects of a second P-wave become noticeable in poroelastic media with low dry-frame stiffness. 相似文献
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土是由一定尺寸大小颗粒所构成的多孔介质,具有明显的颗粒特性,当土颗粒间的孔隙被流体（如水或油）充满时则成为饱和土.利用微极理论和Biot波动理论的研究成果,把饱和土中多孔固体骨架部分近似地视为微极介质,孔隙中的流体部分视为质点介质,获得饱和多孔微极介质的弹性波动方程.借鉴Greetsma理论,建立了饱和多孔微极介质弹性本构方程力学参数与相应单相介质弹性参数的相互关系,使饱和多孔微极介质弹性波动方程中的物理参数具有明确的物理意义,易于在试验中确定.运用场论理论把饱和多孔微极介质的波动方程简化为势函数方程,建立了饱和多孔微极介质中五种弹性波的弥散方程,数值分析了五种简谐体波在无限饱和多孔微极介质中的传播特性. 结果表明,P1波、P2波和剪切S1波的波速弥散曲线与经典饱和多孔介质基本相同,当频率小于临界频率ω0时旋转纵波θ波和横波S2波不存在,当频率大于临界频率ω0时,θ波和S2波的传播速度随频率增加而减小. 相似文献
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利用波函数的FourierBessel级数展开法,给出了含任意多个圆弧状沉积层的谷地在平面P波入射下稳态动力响应的解析解.并以具有三个沉积层的谷地为例,在宽频范围内,利用稳态地面运动幅值的空间分布,讨论了谷地中沉积介质的成层性对地面运动的影响. 相似文献
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考虑水-饱和土场地-结构耦合时的沉管隧道地震反应分析 总被引：6，自引：0，他引：6
用理想流体介质模拟水层、流体饱和多孔介质模拟饱和土地层,在理想流体介质与流体饱和多孔介质相连接边界的连续条件基础上,结合已有的对理想流体介质、流体饱和多孔介质进行动力反应分析的显式有限元方法,开考虑地层与结构的动力相互作用,建立了进行水与场地、结构耦合动力分析的方法。利用该方法对沉管隧道的地震响应进行了研究,重点分析了水深、地质条件等因素对沉管隧道地震反应的影响,并从中得出了一些可供相关人员进行沉管隧道抗震分析时参考的结论。 相似文献
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A general solution of Biot's field equations governing small motions of a porous solid saturated by viscous liquid is employed to study the reflection and refraction at the interface between an elastic solid and a liquid-saturated porous solid. The incident wave is assumed to be plane and homogeneous, propagating through the isotropic elastic solid. The poroelastic solid is considered to be a dissipative one. Amplitude and energy ratios are computed numerically for a particular model. With first-order corrections for the porosity of solid and viscosity of liquid, the limiting cases of low and high frequencies are computed. 相似文献
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本文以饱水两相介质的土力学模型为研究对象,在假定两相介质为弹性介质条件下,采用了显式有限元法和透射边界进行了饱和弹性半空间动力响应问题的研究。为避免谐波输入初始间断的影响,文中提出了一个处理函数,并以弹性半空间为算例,对饱水介质和单相介质分别进行了在底边界P波垂直入射时的动力响应分析,验证了该处理函数的有效性和实用性。 相似文献
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Hasan Faik Kara 《地震工程与工程振动(英文版)》2020,19(2):289-305
Dynamic response of an alluvial valley consisting of three different types of soil was studied. In the two-dimensional model, the alluvial valley was assumed to have half-cylindrical shape. The alluvial valley contained three different types of soil with different shapes. The valley was surrounded by a half-space. All of the soil types and the half-space were assumed to be isotropic, homogeneous and linear elastic. The half-space was excited by simple harmonic SH-waves radiated from a strike-slip fault. The fault was assumed to have circular-arc shape in the mathematical model. The governing equations were solved by using wave function expansion method where boundary conditions were relatively simple. In the regions where boundary conditions were more complex, finite difference method was employed. Consequently, the wave propagation problem was solved semi-analytically. The obtained numerical results showed that surface displacement amplitudes are significantly affected by the material properties of the different soil types of the alluvial valley. It was also observed that the shapes of the soil types in the alluvial valley played a considerable role in surface displacements. 相似文献
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把均匀流体概念引入Biot两相多孔介质动力理论中，用Biot的两相多孔介质模型模拟不完全饱和土层，给出SV波，P波从不完全饱和土层入射到弹性土层时，在土层交界面上反射，透射系数的表达式，结果表明与完全饱和相比，饱和度发生很小的变化就会对交界面上反射，透射系数产生很大的影响。今后应该重视饱和度变化对地震动力响应的影响。 相似文献
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An analytical approach is developed to study the dynamic response of a flexible plate on single-layered saturated soil. The analysis is based on Biot's two-phased theory of poroelasticity and also on the classical thin-plate theory. First, the governing differential equations for saturated soil are solved by the use of Hankel transform. The general solutions of the skeleton displacements, stresses, and pore pressures, derived in the transformed domain, are subsequently incorporated into the imposed boundary conditions, which leads to a set of dual integral equations describing the corresponding mixed boundary value problem. These governing integral equations are finally reduced to the Fredholm integral equations of the second kind and solved by standard numerical procedures. The accuracy of the present solution is validated via comparisons with existing solutions for an ideal elastic half-space. Furthermore, some numerical results are presented to show the influences of the layer depth, the plate flexibility, and the soil porosity on the dynamic compliances. 相似文献
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Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties 总被引：2，自引：0，他引：2
Liao-Liang Ke Yue-Sheng Wang Zi-Mao Zhang 《Soil Dynamics and Earthquake Engineering》2006,26(6-7):574-581
The paper is concerned with the propagation of the Love waves in an inhomogeneous transversely isotropic fluid saturated porous layered half-space with linearly varying properties. The analysis is based on Biot's theory. Firstly, the dispersion equation in the complex form for the Love waves in an inhomogeneous porous layer is derived. Then the equation is solved by an iterative method. Detailed numerical calculation is presented for an inhomogeneous fluid saturated porous layer overlying a purely elastic half-space. The dispersion and attenuation of the Love waves are discussed. In addition, the upper and lower bounds of the Love wave speed are explored. 相似文献
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基于Biot理论,考虑液相的黏弹性变形和固液相接触面上的相对扭转,提出了含黏滞流体VTI孔隙介质模型.从理论上推导出,在该模型中除存在快P波、慢P波、SV波、SH波以外,还将存在两种新横波－慢SV波和慢SH波.数值模拟分析了6种弹性波的相速度、衰减、液固相振幅比随孔隙度、频率的变化规律以及快P波、快SV波的衰减随流体性质、渗透率、入射角的变化规律.结果表明慢SV波和慢SH波主要在液相中传播,高频高孔隙度时,速度较高;大角度入射时,快P波衰减表现出明显的各向异性,而快SV波的衰减则基本不变;储层纵向和横向渗透率存在差异时,快SV波衰减大的方向渗透率高. 相似文献