Damping characteristics of gravity waves obliquely incident on a monomolecular film: Part I

Viscous damping characteristics of long-crested gravity waves, propagating obliquely through a long monomolecular film of finite width, are considered for physical situations in which the wind is absent. The methods employed in the investigation are based on boundary-layer techniques, and formulae are derived for the local spatially-dependent decay coefficient and amplitude-function due to propagation of deep-water waves across extensible films. In II, such formulae are illustrated graphically to demonstrate the influence of angle of incidence, film edges, and surfactant properties, and some reference is made in relation to practically realisable values of the surface elasticity .     

Response of sedimentary basin to obliquely incident SH waves

This research studies the impact of the incident angle of SH waves on the seismic response of two-dimensional sedimentary basins by using a nonlinear method. At first Ricker wavelet is input for a detailed analysis, followed by a statistical analysis based on a total of 100 real earthquake motions recorded at rock sites. The results show that the incident angle has a significant implication on the basin ground motion. First, the incident angle affects the short-period components more than the long-period ones of the spectral response acceleration, but the dominant period of the spectral response acceleration is insensitive to incident angle and location. Second, the MDIA of a basin is not necessarily 0° (vertical incidence) but in the range of approximately 0°–30°, and hence due attention should be paid to the influence of incident angle in seismic response analysis. Third, basin central areas are seismically preferable to edge regions for short-period buildings located on the basin, while, for long-period buildings, the edge areas become preferable. However, with the increase in incident angle, the difference between edge and central areas diminishes gradually. Finally, given that the dimensions of a basin are perceivable to incidence waves, the slope angle has a considerable impact on the PGA distribution pattern by controlling whether or not peak appears in the edge area. The MDP is most likely to be in the edge area of a basin with small slope angle when subjected to excitation with small incident angle (including vertical incidence).     

Response of pile foundations to rayleigh waves and obliquely incident body waves

The paper presents results of a study on the harmonic response of piles and pile groups embedded in a halfspace to various forms of seismic waves. These include the Rayleigh wave as well as obliquely incident P, SV and SH waves. The pertinent mixed boundary value problems of pile-soil-pile interaction are solved by a numerical model of the boundary integral nature. All modes of foundation vibrations, i.e. translational, rocking and torsional, are included in the model. The results presented are used to highlight the salient features of the seismic response of piles. In addition, the influence of certain pile-soil parameters, such as pile rigidity and pile spacing, on the seismic behaviour of pile foundations is investigated.     

Dynamic response of rectangular foundations to obliquely incident seismic waves

A study is made of the harmonic response of a rigid massless rectangular foundation bonded to an elastic half-space and subjected to the action of both external forces and obliquely incident plane seismic waves. The associated mixed boundary value problem is discretized and solved numerically. The results obtained indicate that the angle of incidence of the seismic wave has a marked effect on the nature and magnitude of the foundation response.     

Torsional response of structures to obliquely incident seismic sh waves

A study is made of the torsional response of an elastic structure placed on a rigid circular foundation supported on an elastic half-space and subjected to the action of obliquely incident plane SH waves. The problem is solved by considering first the steady-state response of a massless rigid foundation excited externally by a harmonic torque and through the soil by an obliquely incident plane SH wave. In a second stage the coupling between the structure and the soil is considered to obtain the torsional response at the base and top of the superstructure. The results obtained indicate a range of conditions under which the torsional effects will be most pronounced.     

Scattering of obliquely incident seismic waves by a cylindrical valley in a layered half-space

Three-dimensional scattering of seismic waves by a cylindrical alluvial valley embedded in a layered half-space is investigated by using the combination of the boundary integral representation and the finite element method. The surface displacements due to incident plane harmonic body waves (P, SV and SH) propagating at an arbitrary angle to the axis of the cylindrical valley are evaluated numerically for two semi-elliptical alluvial valleys. The presence of the layer is found to have a strong effect on the amplification of the surface displacements in some cases. The three-dimensional motion seems to be quite critical and may cause large amplification. The surface ground motion becomes significant when compared with corresponding free-field motion as the wavelengths become comparable to the characteristic length of the valley. The maximum amplification always occurs atop the valley. Numerical results show that the amplitude and the amplification pattern of the surface displacement strongly depend upon the frequency, the angle and the type of the incident waves.     

倾斜入射快纵波在饱和土中单个圆柱体周围的散射

在Biot饱和土波动理论的基础上,采用波函数展开法,研究了饱和土体中单个圆柱体对倾斜入射PI波的散射特性,计算了背向散射谱和总散射截面积。结果表明,饱和土体中PI波倾斜入射时,随着倾斜入射角的增大,总散射截面积在减小,产生的散射波主要以PI波和SV波为主;随着饱和土体渗透系数的减小,PI波、PⅡ波和SV波背向散射谱平均幅值均呈增大趋势,但PI波背向散射谱幅值变化程度较小。     

Seismic stability of jointed rock slopes under obliquely incident earthquake waves

Seismic stability of slopes has been traditionally analyzed with vertically propagated earthquake waves. However, for rock slopes, the earthquake waves might approach the outcrop still with a evidently oblique direction. To investigate the impact of obliquely incident earthquake excitations, the input method for SV and P waves with arbitrary incident angles is conducted, respectively, by adopting the equivalent nodal force method together with a viscous-spring boundary. Then, the input method is introduced within the framework of ABAQUS software and verified by a numerical example. Both SV and P waves input are considered herein for a 2D jointed rock slope. For the jointed rock mass, the jointed material model in ABAQUS software is employed to simulate its behavior as a continuum. Results of the study show that the earthquake incident angles have significance on the seismic stability of jointed rock slopes. The larger the incident angle, the greater the risk of slope instability. Furthermore, the stability of the jointed rock slopes also is affected by wave types of earthquakes heavily. P waves induce weaker responses and SV waves are shown to be more critical.     

Diffraction of obliquely incident waves by a cylindrical cavity embedded in a layered viscoelastic half-space

The three-dimensional harmonic response in the vicinity of an infinitely long, cylindrical cavity of circular cross-section buried in a layered, viscoelastic half-space is obtained when the half-space is subjected to homogeneous plane waves and surface waves impinging at an oblique angle with respect to the axis of the cavity. The solution is obtained by an indirect boundary integral method based on the use of moving Green's functions for the viscoelastic half-space. Numerical results describing the motion on the ground surface and the motion and stresses on the wall of the cavity are presented for obliquely incident P-, SV-, SH- and Rayleigh waves with different horizontal angles of incidence.     

斜入射平面电磁波的视电阻率及其影响

传统的大地电磁法及音频大地电磁法都假设平面电磁波垂直入射地球表面,且忽略位移电流的影响.实际中,电磁波并不总是垂直入射地球表面,在某些情况下,位移电流也不可忽略.本文以新的方式推导了全电流条件下平面电磁波倾斜入射层状介质表面时的波阻抗公式,分析了位移电流、入射角、磁导率以及介电常数对TE和TM模式视电阻率之间相对差别的影响.结果表明:电磁波垂直入射地球表面时,TE和TM模式视电阻率相等,该特性与位移电流大小、磁导率和介电常数变化无关.当位移电流可忽略时,TE和TM模式视电阻率相等,该特性与入射角、磁导率和介电常数变化无关.当电磁波倾斜入射且位移电流不可忽略时,TE和TM模式视电阻率不相等,两者的差别随位移电流和入射角的增大而增大且与磁导率和介电常数有关.一般地,当位移电流超过传导电流的5%时,其影响就不可忽略.因此,实际数据处理及反演解释中,对特殊地质条件或频率很高时,应考虑位移电流、入射角、磁导率以及介电常数对TE和TM两种视电阻率模式之间差异的影响,否则可能得不到正确的结论.     

地震波斜入射输入体系下坝后式厂房易损性分析

为了考虑地震波斜入射对坝后式厂房易损性的影响,通过斜入射SV波和P波波场叠加,在地表得到与实测地震动一致的设计地震动分量.同时为了考虑坝后式厂房的动力损伤,在程序中嵌入混凝土动力损伤本构,编写了可以考虑地震波斜入射体系的结构易损性分析程序.最后从太平洋地震工程研究中心(PEER)数据库中选取26条近场地震动数据,根据峰...     

斜入射平面SH波在层状半空间中沉积谷地周围的三维散射

采用直接刚度法计算自由场动力响应,以层状半空间中移动斜线均布荷载动力格林函数模拟散射波场,采用间接边界元方法求解了层状半空间中沉积谷地对斜入射平面SH波的三维散射问题.由于文中采用的层状场地三维动力刚度矩阵是精确的,且用于模拟散射波场的均布移动斜线荷载可以直接施加在沉积交界面处而不存在奇异性,所以本文方法具有很高精度.文中以均匀半空间和基岩上单一土层中沉积谷地对入射SH波的散射为例进行了数值计算,研究表明,沉积谷地对地震波的三维散射与二维散射之间存在本质差别;层状半空间中沉积谷地与均匀半空间中沉积谷地附近地表位移存在显著差异.     

Variations in the dynamic response of structures founded on piles induced by obliquely incident SV waves

Although the seismic actions generally consist of a combination of waves, which propagates with an angle of incidence not necessarily vertical, the common practice when analyzing the dynamic behavior of pile groups is based on the assumption of vertically incident wave fields. The aim of this paper is to analyze how the angle of incidence of SV waves affects the dynamic response of pile foundations and piled structures. A three-dimensional boundary element-finite element coupling formulation is used to compute impedances and kinematic interaction factors corresponding to several configurations of vertical pile groups embedded in an isotropic homogeneous linear viscoelastic half-space. These results, which are provided in ready-to-use dimensionless graphs, are used to determine the effective dynamic properties of an equivalent single-degree-of-freedom oscillator that reproduces, within the range where the peak response occurs, the response of slender and nonslender superstructures through a procedure based on a substructuring model. Results are expressed in terms of effective flexible-base period and damping as well as maximum shear force at the base of the structure. The relevance and main trends observed in the influence of the wavefront angle of incidence on the dynamic behavior of the superstructure are inferred from the presented results. It is found that effective damping is significantly affected by the variations of the wave angle of incidence. Furthermore, it comes out that the vertical incidence is not always the worst-case scenario.     

瑞雷波斜入射下层状半空间中沉积谷地周围的三维散射研究

针对层状半空间中沉积谷地对斜入射瑞雷波的三维散射问题, 采用直接刚度法计算自由场波场, 以层状半空间中移动斜线均布荷载动力格林影响函数求解三维散射波场, 建立了求解该问题的间接边界元方法. 通过与已有结果的比较, 验证了该方法的正确性, 并以均匀半空间以及弹性基岩上单一土层场地中沉积谷地为例进行了计算分析. 研究结果表明： 层状半空间与均匀半空间中沉积谷地对瑞雷波的散射存在显著差别; 层状半空间中瑞雷波的振动模态对沉积附近位移幅值有着重要影响; 土层刚度和厚度等参数也对沉积附近位移幅值大小及空间分布有着显著的影响.     

Interaction of an axisymmetric body with obliquely incident seismic waves by global local finite elements

Asymmetric steady-state structure-media interaction due to obliquely incident body waves is investigated via a version of the global local finite element method. In the present version, a local region that houses an axisymmetric structure is modelled by conventional finite elements, while the behaviour in the remaining portion of the homogeneous semi-infinite medium is presented by the spherical harmonics that are the eigensolutions of the entire space problem. The solution scheme involves (1) full displacement and traction continuity along the boundary between the local and the exterior regions and (2) satisfaction of the traction-free requirement on the surface of the half-space beyond the discretized region by virtue of a sequence of integral constraints of the non-zero weighted surface tractions of the spherical harmonics. The numerical results presented are for a perfectly bonded rigid circular foundation resting on the surface of the half-space and subjected to obliquely incident body waves. Dependence of the displacement response of the footing upon incident angles and dimensionless wave numbers is thoroughly studied.     

Time domain method for calculating free field motion of a layered half-space subjected to obliquely incident body waves

In numerical simulation of wave scattering under oblique incident body waves using the finite element method, the free field motion at the incident lateral boundary induced by the background layered half-space complicates the computational area. In order to replace the complex frequency domain method, a time-domain method to calculate the free field motion of a layered half-space subjected to oblique incident body waves is developed in this paper. The new method decouples the equations of motion used in the finite element method and offers an interpolation formula of the free field motion. This formula is based on the fact that the apparent horizontal velocity of the free field motion is constant and can be calculated exactly. Both the theoretical analysis and numerical results demonstrate that the proposed method offers a high degree of accuracy.     

Local seismic site amplification: effects of obliquely incident antiplane motions

Seismic site amplification studies are generally used to assess the effects of local geology and soil conditions on ground motion characteristics. Although extensive reviews on site amplification phenomena associated with stratigraphic effects can be found in the specialized literature, it should be pointed out that most of the practical applications have been limited to the study of vertically propagating shear horizontal (SH) waves, i.e., to the 1-D soil amplification problem. Furthermore, little attention, if any, has been devoted to the study of the effects of non-vertically incident SH waves on surface accelerograms and on the earthquake response of structures. In the present work, the study is extended to an investigation of 2-D site amplification of non-vertically propagating seismic shear waves in multilayered viscoelastic soil deposits. Sensitivity analyses of the effects of non-vertical incidence on site amplification functions are performed based on site geotechnical data collected from post-seismic investigations of the 1980 El-Asnam earthquake. Analytical results are discussed in terms of seismic site transfer functions, spectral ratios, surface acceleration time histories, and structural response spectra for different values of wave incidence angle. Both bedrock and rock outcropping cases are examined.     

雷暴激发的环状重力波在中高层大气中的传播特征

本文使用中国科学院国家空间科学中心——子午工程朔州观测站的全天空气辉成像数据,以及FY-2气象卫星云顶亮温数据（Black Body Temperature,TBB）,气象再分析数据和地闪数据,研究了2013年8月10日（LT）发生在内蒙古地区的雷暴活动激发的中高层环状重力波（Concentric Gravity Waves,CGWs）事件.根据最小二乘法的拟合结果和色散关系理论曲线,确定了激发中高层环状重力波的强对流系统,该对流中心位于内蒙古自治区中部（108.9°E,40.47°N）,重力波激发于雷暴初期,此时TBB低于220 K的深对流面积较小,随着时间的推移,该次雷暴活动越来越强,深对流面积在23：00达到最大,在23：30-24：00 LT时闪电频数最高,达到120.7 fl/min,随后深对流逐渐消散.在中高层87 km处OH（羟基）气辉层观测到的一次CGWs事件的两组波纹,分别沿水平方向传播了149.64 km和174.25 km,相应位置处的水平波长分别为12.67 km和16.75 km,周期分别为8.56 min和10.72 min,激发时间分别为19：34 LT和19：40 LT;随着水平传播距离的增加,CGWs水平波长增大.

     

Propagation and amplification of seismic waves in 2-D valleys excited by obliquely incident P- and SV-waves

The seismic motion in sediment-filled valleys due to incident SH-waves has been studied exhaustively. However, the response of such geologic structures to incident SV- and P-waves has not been studied as thoroughly. The response of a 2-D model of the valley of Caracas, Venezuela—a NS cross-section through the Palos Grandes district—to incident plane SV- and P-waves is investigated using the discrete wave number boundary element method. It is observed that the differences in the predictions of the 1-D and 2-D models are more pronounced for SV-waves than for SH-waves, especially when SV-waves are incident at (or near) the critical angle i_c. The valley responds very strongly to the horizontally propagating P-wave (SP-wave) which is induced when SV-waves, incident at the critical angle, interact with the free surface of the half-space. However, the SP-wave, being a wave diffracted at a boundary, is likely to be sensitive to impedance contrasts, to the presence of other interfaces in the medium, and to the topography surrounding the valley. These aspects of the problem need further investigation.