共查询到19条相似文献，搜索用时 171 毫秒
1.
成层地基自由场地面运动的随机模型 总被引：1，自引：0，他引：1
地表土层通常具有成层的特点,在地震工程中将覆盖土层简化为力学性质沿竖向成层变化,水平向为各向同性的层状半空间体才会得到更符合实际情况的解答.采用频域分析方法,对多层横观各向同性土层对垂直向上的入射剪切波的反应进行了分析.在此基础上,分析了自由场地面运动的频率响应函数,计算了响应位移的功率谱密度函数,并给出了算例.算例表明,多层土的功率谱密度函数具有多个峰值.采用频域分析方法计算层状土地基在地震作用下的位移和应力响应,避免了时域分析时对波在界面处多次反射和透射的反复追踪,思路清晰,步骤简明. 相似文献
2.
沉积风化作用下土体表现出明显的成层特性和横观各向同性(TI)特性。将更为符合实际的TI介质模型引入到局部地形对地震波的散射问题研究有着重要的理论意义和工程实用价值。本文在TI土层平面外动力刚度矩阵的基础上,推导了斜线均布荷载动力格林函数,进而以该格林函数为基本解建立间接边界元方法研究了TI层状半空间中凹陷地形对平面SH波的散射问题。文中验证了方法的正确性,并分别在频域和时域内进行了数值计算分析。研究表明,TI介质中凹陷地形对SH波的散射与各向同性介质情况存在较大差异,凹陷附近地表位移幅值依赖于SH波的入射角度、入射频率和竖向与水平剪切模量比值;另外土体竖向与水平剪切模量比值对基岩上单一土层场地动力特性有着显著影响,进而使得TI层状场地凹陷附近位移幅值与各向同性情况差异变得更为复杂。 相似文献
3.
本文研究了点源位错引起的重力、位势及其梯度变化，完整地从理论上推证点源位错引起的位势和重力变化；对点源的处理数学简单、物理意义明确，避免了对积分的奇异性估计，使该问题理论上更趋完善．同时，分析了各型位错下空间重力及其梯度变化、地面上的重力变化、重力垂直位移梯度和视重力垂直位移梯度的特征．分析表明:① 点源位错引起的空间重力及其梯度变化随垂直位置变化很小；② 点源位错引起的重力变化比梯度变化大的多，重力梯度变化是不显著的；③ 质量再分布引起的重力变化可达总重力变化的一半左右，且走滑、倾滑垂直位错引起的总重力变化与垂直位移形变场成正负反像分布；④ 重力垂直位移梯度不是常数，对于各型位错具有不同的分布特征；⑤ 点源位错引起的重力垂直位移梯度和视重力垂直位移梯度近似相等． 相似文献
4.
《地震工程与工程振动》2017,(4)
沉积风化作用使得天然土体表现出明显的成层特性和横观各向同性(TI)特性,然而目前还很少有针对层状TI场地地震反应分析的研究。本文推导了层状黏弹性TI场地的精确动力刚度矩阵,进而采用刚度矩阵方法求解了层状黏弹性TI场地的地震反应。文中通过与已有文献结果以及与经典EERA程序计算结果的比较验证了方法的正确性,并且分别在频域内和时域内进行了数值计算分析,研究了土体的TI性质对地表地震反应的影响。数值结果表明,TI场地与其等效各向同性场地地震反应有着显著的差异;当q P或q SV波以倾斜角度入射时,土体的TI参数对地表位移幅值放大谱的峰值及峰值频率具有显著影响;TI参数的改变将导致场地动力特性的改变,进而显著影响场地的地表加速度时程和相应的地震反应谱。 相似文献
5.
基于孔隙介质的Biot理论,首先利用Laplace变换,给出圆柱坐标系下横观各向同性饱和弹性多孔介质在变换域上的波动方程;将波动方程解耦后,根据方位角的Fourier展开和径向Hankel变换,求解了Biot波动方程,得到以土骨架位移、孔隙水压力和土介质总应力分量的积分形式的一般解;借助一般解,建立了有限厚度饱和土层和饱和半空间的精确动力刚度矩阵,并由土层的层间界面连续条件建立三维非轴对称层状饱和地基的总刚度方程;在此基础上,系统研究了横观各向同性饱和半空间体在内部集中荷载激励下的动力响应,并给出了问题的瞬态解答.该研究为运用边界元法求解饱和地基动力响应奠定了理论基础. 相似文献
6.
活动断层运动的重力场反演 总被引：4，自引：0，他引：4
阐述了断层错动引起地表地表重力变化的基本原理,给出了弹性半无限空间点源位错到矩形位错引起的重力变化的基本解析式,并将结论推广到多个断层,介绍了利用重力变化反演断层运动的基本思路。以滇西实验场作为实用实例,对１９９６年２月丽江７．１级地震发生前后场区内的活动断层运动进行了演算,给出了断层位位移解,并与已有资料相比较,结果基本一致,但误差分析结果表明本文错模型还有待于改善。 相似文献
7.
传统断层自主剖分技术进行地震断层滑动对地质形变的测绘研究时,未考虑走滑位移量、倾滑位移量和张开位移量对地质形变测绘研究的影响,无法对差异断层转动角下的地质形变情况实施有效测绘,提出基于矩形位错模型的地质形变的测绘研究方法,采用矩形断层位错模型通过点源位错公式,获取地震断层滑动时地质形变的走滑位移量、倾滑位移量和张开位移量;基于地震矩形断层三维滑动对地表产生的位移进行测绘时,获取各位移量同地面形成的三维位移场,采用二维高斯-勒让德求积计算断层三维位移场转动形成的地表位移,实现地质形变的测绘研究。实验结果表明,所提方法可对不同矩形断层转动角下的地质变形情况进行准确测绘,实际应用价值高。 相似文献
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9.
考虑各向异性的层土-盾构隧道地震反应数值模拟 总被引：3，自引：0，他引：3
在层状各向异性土体-盾构隧道地震反应分析中,引入了横观各向同性弹塑性模型理论,建立了适合于横观各向同性介质的双渐近-多向透射边界条件。针对地铁区间盾构隧道抗震设计的特点,基于横观各向同性弹塑性模型,研制了考虑层状土体各向异性和施工开挖效应,适合于盾构隧道动力计算的各向异性弹塑性动力有限元程序。在程序中对于不同的材料采用了不同的本构关系和不同的单元形式,并采用了关联流动法则和多种屈服准则,可同时进行各向异性土体与地下结构的二维平面应力、平面应变和轴对称问题的静力和动力数值分析。最后利用所研制的程序进行了上海地铁二号线石门一路站附近区间隧道在不同超越概率地震动输入下的隧道反应计算。结果表明,在层状土体-地铁区间隧道的抗震分析中考虑土体各向异性的影响是必要的,所提出的计算模型是可行的。 相似文献
10.
在已有的凹凸体震源模型基础上考虑凹凸体位错非均匀性,提出改进的凹凸体位错模式.新的位错模式随机设置凹凸体上各子断层位错量,同时在凹凸体与背景区交界处设置位错平缓变化的区域.以1989年美国 LomaPrieta地震为例,计算不同断层位错模式下引起的地表位移,并与反演得到真实情况下地表的位移作对比,验证改进凹凸体位错模式的可靠性.结果显示,使用改进的渐变凹凸体非均匀位错模式计算时,与真实情况下竖向地表位移差大于8cm 的区域面积为 43km2,相较凹凸体均匀位错模式缩减25%;水平地表位移差大于8cm 区域面积为117km2,相较凹凸体均匀位错模式缩减达31%.利用改进的渐变凹凸体非均匀位错模式,计算1679年三河—平谷大地震在北京地区形成的地表位移场.北京市外,最大竖向地表位移大于4．8m,最大水平地表位移大于2．6m,均出现在三河附近;北京市内,通州区至平谷区一带地表位移最大,最大水平地表位移大于 2．6m,最大竖向地表位移大于1m.研究结果可为今后北京地区的抗震设防提供参考. 相似文献
11.
In an acoustic transversely isotropic medium, there are two waves that propagate. One is the P-wave and another one is the S-wave (also known as S-wave artefact). This paper is devoted to analyse the S-wave in two-dimensional acoustic transversely isotropic media with a tilted symmetry axis. We derive the S-wave slowness surface and traveltime function in a homogeneous acoustic transversely isotropic medium with a tilted symmetry axis. The S-wave traveltime approximations in acoustic transversely isotropic media with a tilted symmetry axis can be mapped from the counterparts for acoustic transversely isotropic media with a vertical symmetry axis. We consider a layered two-dimensional acoustic transversely isotropic medium with a tilted symmetry axis to analyse the S-wave moveout. We also illustrate the behaviour of the moveout for reflected S-wave and converted waves. 相似文献
12.
The dynamic stiffness method combined with the Fourier transform is utilized to derive the in-plane Green’s functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic(TI)half-space.The loaded layer is fixed to obtain solutions restricted in it and the corresponding reactions forces,which are then applied to the total system with the opposite sign.By adding solutions restricted in the loaded layer to solutions from the reaction forces,the global solutions in the wavenumber domain are obtained,and the dynamic Green’s functions in the space domain are recovered by the inverse Fourier transform.The presented formulations can be reduced to the isotropic case developed by Wolf(1985),and are further verified by comparisons with existing solutions in a uniform isotropic as well as a layered TI halfspace subjected to horizontally distributed loads which are special cases of the more general problem addressed.The deduced Green’s functions,in conjunction with boundary element methods,will lead to significant advances in the investigation of a variety of wave scattering,wave radiation and soil-structure interaction problems in a layered TI site.Selected numerical results are given to investigate the influence of material anisotropy,frequency of excitation,inclination angle and layered on the responses of displacement and stress,and some conclusions are drawn. 相似文献
13.
Acoustic transversely isotropic models are widely used in seismic exploration for P‐wave processing and analysis. In isotropic acoustic media only P‐wave can propagate, while in an acoustic transversely isotropic medium both P and S waves propagate. In this paper, we focus on kinematic properties of S‐wave in acoustic transversely isotropic media. We define new parameters better suited for S‐wave kinematics analysis. We also establish the travel time and relative geometrical spreading equations and analyse their properties. To illustrate the behaviour of the S‐wave in multi‐layered acoustic transversely isotropic media, we define the Dix‐type equations that are different from the ones widely used for the P‐wave propagation. 相似文献
14.
The disturbances in an infinite inhomogeneous medium due to transient forces and twists on the surface of a buried spherical source 总被引：1，自引：0，他引：1
Jyotirmay Mukherjee 《Pure and Applied Geophysics》1969,76(1):65-70
Summary In this paper the disturbances in an inhomogeneous medium due to two types of forces (i) transient normal forces, (ii) transient twists in presence of a buried spherical source has been considered. The material of the inhomogeneous medium is assumed to be transversely isotropic. The results are in terms of modified Bessel functions. In a particular case, the equation reduces to an ordinary differential equation of second order. 相似文献
15.
Tariq Alkhalifah 《Geophysical Prospecting》2015,63(5):1126-1141
Wavefield extrapolation operators for elliptically anisotropic media offer significant cost reduction compared with that for the transversely isotropic case, particularly when the axis of symmetry exhibits tilt (from the vertical). However, elliptical anisotropy does not provide accurate wavefield representation or imaging for transversely isotropic media. Therefore, we propose effective elliptically anisotropic models that correctly capture the kinematic behaviour of wavefields for transversely isotropic media. Specifically, we compute source‐dependent effective velocities for the elliptic medium using kinematic high‐frequency representation of the transversely isotropic wavefield. The effective model allows us to use cheaper elliptic wave extrapolation operators. Despite the fact that the effective models are obtained by matching kinematics using high‐frequency asymptotic, the resulting wavefield contains most of the critical wavefield components, including frequency dependency and caustics, if present, with reasonable accuracy. The methodology developed here offers a much better cost versus accuracy trade‐off for wavefield computations in transversely isotropic media, particularly for media of low to moderate complexity. In addition, the wavefield solution is free from shear‐wave artefacts as opposed to the conventional finite‐difference‐based transversely isotropic wave extrapolation scheme. We demonstrate these assertions through numerical tests on synthetic tilted transversely isotropic models. 相似文献
16.
The scattering of plane SH-waves by topographic features in a layered transversely isotropic (TI) half-space is investigated by using an indirect boundary element method (IBEM). Firstly, the anti-plane dynamic stiffness matrix of the layered TI half-space is established and the free fields are solved by using the direct stiffness method. Then, Green’s functions are derived for uniformly distributed loads acting on an inclined line in a layered TI half-space and the scattered fields are constructed with the deduced Green’s functions. Finally, the free fields are added to the scattered ones to obtain the global dynamic responses. The method is verified by comparing results with the published isotropic ones. Both the steady-state and transient dynamic responses are evaluated and discussed. Numerical results in the frequency domain show that surface motions for the TI media can be significantly different from those for the isotropic case, which are strongly dependent on the anisotropy property, incident angle and incident frequency. Results in the time domain show that the material anisotropy has important effects on the maximum duration and maximum amplitudes of the time histories. 相似文献
17.
Transmitting boundary for water-saturated transversely isotropic strata based on the u–U formulation
A new transmitting boundary in a cylindrical coordinate system has been developed for modeling the elastic waves radiating out to an infinite boundary in water-saturated transversely isotropic soil strata over a rigid bedrock. The saturated soil strata are assumed to consist of a porous material and modeled as a transversely isotropic two-phase medium, based on the u−U formulation. The newly developed transmitting boundary is combined with the finite-elements model of the near-field region, using the same u−U formulation, and applied to the study of the dynamics of a rigid circular foundation in porous isotropic or transversely isotropic layered strata, either fully or partly saturated with water. The verification and application examples give valuable insights into new and interesting aspects of the dynamic behavior of rigid circular foundations in fully or partly saturated two-phase ground in terms of permeability, transverse anisotropy, and ground-water table level. 相似文献
18.
Green's functions for transversely isotropic thermoporoelastic bimaterials are established in the paper. We first express the compact general solutions of transversely isotropic thermoporoelastic material in terms of harmonic functions and introduce eight new harmonic functions. The three-dimensional Green's function having a concentrated liquid source or a concentrated heat source in steady state is completely solved using these new harmonic functions. The analytical results show some new phenomena of the pore fluid pressure increment, thermal increment and stress distributions at the interface. In the two materials, the pore fluid pressure has the same distribution because of the common fluid permeability, but the situation is different for the thermal increment. Shear failure is most likely at the two sources due to the highly degenerated direction of shear stress contours. 相似文献
19.
K. HELBIG 《Geophysical Prospecting》1981,29(4):550-577
Waves propagating through a sequence of layers that are thin compared with the wavelength show effects of anisotropy: velocity and displacement direction depend on the angle between the plane of layering and the wave normal, and shear waves split up into two distinct types of different velocity. The layered medium can thus be replaced by a transversely isotrophic medium the parameters of which depend on the parameters of the individual constituent layers. A survey of the anisotropy effects possible in such a medium is generally done by varying the layer parameters in order to obtain different replacement media. This approach guarantees that the replacement medium is realistic, but it does not guarantee adequate sampling of the set of replacement media. To this end one has to begin by selecting the replacement media and then check whether the chosen media possess stable (and eventually realistic) representations by layer sequences. In general, there is an infinite number of layer representations for any transversely isotropic medium that can at all be represented. However, if one restricts the solutions to those requiring the minimal number of layers and the minimum number of different layer parameters, the set of solutions has only one free parameter (i.e., it is a one-dimensional manifold), and an important subset even has a unique solution. A simple algorithm exists for the determination of these “simplest representations”. Aside from sampling the set of representable transversely isotropic media for survey purposes, the method can be applied to the problem of determining the cause of observed anisotropy effects (or lateral changes in such effects). If this method can be applied to real data, it would for instance allow to determine changes in relative thickness or lithology on a scale smaller than the limit of resolution of the seismic method. 相似文献