对流层上传重力波的非线性演化

利用二维全隐欧拉格式对重力波在可压、非等温大气中的非线性传播过程进行了数值模拟和分析.分析结果表明，从对流层顶激发的重力波能稳定地经平流层传到中层顶，从而将能量和动量从一个区域带到另一个区域；在向上传播过程中，重力波经历了发展、位温翻转、对流直至最终破碎的演变；重力波的破碎是对流和小尺度波动的重要的源，对流不稳定和翻转是非线性现象的一个基本特征.计算还显示，扰动源的大小直接影响着重力波的非线性传播过程，当扰动源足够小时，重力波能稳定传播，而大振幅扰动可以加速重力波的破碎.     

基于动力子结构方法的场地地震反应分析方法

本文验证了将约束子结构法引入到复杂场地地震反应分析的可行性,并在此基础上提出了两种进一步提高计算效率的简化措施。结合土层有限元模型的自身特点,提出了标准子结构的概念,通过设置标准子结构,可减少相同子结构的重复计算。基于约束子结构本身的性质,假定土层计算区域为局部非线性,可简化等效线性化分析过程,通过数值试验给出了局部非线性区域的取值范围。算例表明,上述简化措施在提高大规模复杂场地地震反应分析计算效率方面具有显著的优势。     

地震频度曲线非线性特征与主震后有后续地震的预测

本文对川滇地区1988年以来MS>5.0级地震前后ML≥3.0级地震活动的强度和频度变化进行了分析。结果认为,主震前ML≥3.0级地震活动的强度和频度曲线有一个非线性趋势增强的变化过程,主震后ML≥3.0级地震活动的强度和频度曲线仍然保持上升的非线性增强,曲线上升的非线性增强对整个区域一定时间段内有后续地震的判断给出了短期异常信息。     

三维井间电磁场的正反演计算

提出了一种计算体积分方程的方法－改进型局域非线性迭代（MLNI），并用其对三维井间电磁场进行反演计算，该方法将井间大尺度散射体分为近场和远场区域两部分，它们的位置和尺寸均随场点位置的变化而改变，采用局域非线性近似计算近场区域的影响，将远场区域的影响作为外部激励源，采用迭代方法计算，该方法具有计算速度快，所需内存量少，收敛性好的优点，在反演中采用基于MLNI的非线性反演方法，利用这种方法可以将成像区域集中于一定范围内而不是整个三维空间，该反演方法由于考虑到了雅可比矩阵元素的非线性项，因而与传统的Born迭代反演方法相比更为精确和稳定，考虑到信息量和计算机内存的限制，第1次成像采用双重体元分割法进行较粗略的成像，然后缩小成像范围进行第2次较精确的成像，数值计算结果表明，MLNI是一种有效的计算井间大尺度异常体散射场的方法，将该方法用于反演过程能够得到较高分辨率的三维井间电导率图像。     

粘弹性拉张型地震破裂过程的解析解

本文应用包括地壳破裂发震过程中具有激发及衰减的非线性Rayleigh阻尼,用Voigt粘弹性模型表示地壳,它能更全面地反映地壳介质分子之间的内摩擦造成的粘滞性阻尼,在数学方法上,用解非线性问题解析法的摄动理论结合动坐标的富氏级数,把问题的非线性控制方程组化为各阶线性化的控制方程组后,再简化为标准的Mathieu方程构成的耦连方程组,再用WKBJ方法,给出其在稳定区域的近似解,从而得出了问题的解析解。     

叠层橡胶支座隔震结构地震响应的突变分析

为全面分析地震破坏过程中由非线性引起的,如突变和滞后效应等某些复杂特性,本文在现有的动力分析模型基础上引入了非线性恢复力,并用突变理论分析方法对改进后的模型进行分析,结果表明叠层橡胶支座参数的微小变化使响应振幅及其突变值、振幅响应的不稳定区域等特性产生明显变化,反映出隔震结构的地震响应特性对参数变化非常敏感。由于支座阻尼的耗能作用,当阻尼较大或激振力、非线性参数较小时,地震响应的突变现象消失,产生"伪线性"特性。     

考虑土体非线性及倾角影响的盆地地震响应研究

基于二维沉积盆地模型,采用D-P弹塑性模型模拟盆地的非线性特征。利用显式有限元与黏弹性边界结合的方法,通过改变盆地边缘倾角,在时域和频域内分析盆地地表的地震动响应,对比线性与非线性盆地地震反应的差异。结果表明:(1)土体非线性对整个盆地范围内地震动的影响都较显著。考虑非线性时地震动放大系数明显降低,降低幅度在30%~50%。同时,考虑非线性和倾角影响时最强烈放大区域的范围和位置变化,且很小倾角下的分布特征显著不同。(2)两分量的放大系数都有随边缘倾角的增大而增强的趋势,但均是盆地边缘区域受非线性的影响最为显著。此外,真实地震波输入下显著放大区域的范围及线性与非线性结果的差异程度相对更大。(3)考虑非线性时,对于不同频率地震波的放大系数差别明显,但都表现出从低频到高频谱比分布越来越复杂的现象,同时盆地倾角的影响程度随频率的增大更加明显。(4)考虑土体非线性并未改变地震波传播的总体特征,但各震相强度相对降低。     

判断川滇有震、无震和后续地震的一种方法

本文对川滇地区1988年以来30次Ms≥5.0级地震前ML≥3.0级地震活动进行了分析。结果认为,中、强地震前ML≥3.0级地震活动的强度和频度曲线有一个非线性趋势增强的变化过程,曲线上升的非线性增强对整体区域一定时间段内有震、后续地震和无震的判断给出了震前地震活动的中、短期异常信息。     

旋转流体中的二维惯性重力波-涡相互作用

本文利用f-平面浅水模型讨论了二维情况下快速惯性重力波与平衡涡旋之间的相互作用问题.当快速的惯性重力波传入涡旋区域后,波－涡之间发生了相互作用,涡旋可被加深,涡旋区域的风场等可以出现非对称分布,当惯性重力波全部传出涡旋区域并远离之后,涡旋恢复到其初始状态,但此时惯性重力波可以出现非对称结构,这与一维情况不同.在波－涡发生相互作用过程中,其物理量变化的最大区域分布基本与波动传播方向一致,在波动进入或移出涡旋时,相对应存在两个最大物理量变化区域,此外,相互作用导致的物理量的最大变化与波动结构、强度、传播方向以及涡旋特性有关.非线性条件下的波－涡相互作用要强于线性过程.     

中层大气中重力波饱和机制的数值分析

通过对向上传播的重力波波包在中层大气中的非线性传播过程进行数值模拟,讨论中层大气中重力波的饱和机制.数值模拟结果表明,向上传播的重力波波包的扰动振幅在接近波包的本征水平相速度之前随高度单调增长,而当波振幅接近本征水平相速度时,在对流不稳定区域出现等位温面的翻转,同时波振幅的增长达到饱和（波振幅随高度不发生变化）.小尺度对流在等位温面的翻转和波饱和发生后产生,随后波包开始破碎,这些非线性过程的最终结果产生湍流.表明导致重力波饱和的关键因素是等位温面的翻转而不是诸如波破碎、湍流、波-流相互作用等其他的一些物理过程.     

Model studying the effect of the solar terminator on the thermospheric parameters

The results of model studying the mechanism of formation of large-scale disturbances in the thermosphere under the action of short-period waves propagating from the middle atmosphere are presented. The region of the solar terminator is considered as a source of such waves. The calculation results for the summer conditions in the Northern Hemisphere indicate that such an energy source, local in the space and time, results in the formation of large-scale inhomogeneities at altitudes of 120–160 km. A disturbance of these inhomogeneities is caused by the nonlinear and dissipative processes accompanying HF propagation in the terminator region. Large-scale disturbances have a quasistationary character and are localized near the morning and evening terminators. Vortex motions around the pole at altitudes of 140–160 km are formed at nigh latitudes of the winter hemisphere under the polar night conditions.     

Acoustic energy transfer to the upper atmosphere from sinusoidal sources and a role of nonlinear processes

In the framework of solving the problem of acoustic energy transfer from near-surface sources through the upper atmosphere, the propagation of sinusoidal signals of different origin is studied. All calculations are made by means of a model that takes into account the inhomogeneity of the atmosphere, nonlinear effects, absorption, divergence of wave front due to long-range acoustic wave propagation, etc., but does not include the effect of gravity. Infrasonic waves of various periods and their absorption at various heights of the atmosphere are investigated. The calculations show that a sinusoidal signal is destroyed by nonlinear processes during its upward propagation; it transforms into two, initial and final, impulses. The location of the “transformation zone” depends on frequency; its height increases with decreasing frequency. The acoustic waves can heat the upper atmosphere, for example, waves with a period of 3 min generated by thunderstorms can heat the atmosphere by up to ΔT_a=13.08 K/day in the region of 323–431 km. The efficiency of a point artificial emitter is too weak to heat the atmosphere significantly.     

The nonlinear effects on the characteristics of gravity wave packets: dispersion and polarization relations

By analyzing the results of the numerical simulations of nonlinear propagation of three Gaussian gravity-wave packets in isothermal atmosphere individually, the nonlinear effects on the characteristics of gravity waves are studied quantitatively. The analyses show that during the nonlinear propagation of gravity wave packets the mean flows are accelerated and the vertical wavelengths show clear reduction due to nonlinearity. On the other hand, though nonlinear effects exist, the time variations of the frequencies of gravity wave packets are close to those derived from the dispersion relation and the amplitude and phase relations of wave-associated disturbance components are consistent with the predictions of the polarization relation of gravity waves. This indicates that the dispersion and polarization relations based on the linear gravity wave theory can be applied extensively in the nonlinear region.     

Onset of an energy cascade and nonperiodic behaviour in the nonlinear propagation of MHD waves in the solar atmosphere

Abstract

We study the nonlinear stability of MHD waves propagating in a two-dimensional, compressible, highly magnetized, viscous plasma. These waves are driven by a weak, shear body force which could be imposed by large scale internal fluctuations present in the solar atmosphere.

The effects of anisotropic viscosity (leading to a cubic damping) and of the nonlinear coupling of the Alfven and the magnetoacoustic waves are analysed using Galerkin and multiple-scale analysis: the MHD equations are reduced to a set of nonlinear ordinary differential equations which is then suitably truncated to give a model dynamical system, representing the interaction of two complex Galerkin modes.

For propagation oblique to the background magnetic field, analytical integration shows that the low-wavenumber mode is physically unstable. For propagation parallel to the background magnetic field the high-wavenumber wave can undergo saddlenode bifurcations, in way that is similar to the van der Pol oscillator; these bifurcations lead to the appearance of a hysteresis cycle.

A numerical integration of the dynamical system shows that a sequence of Hopf bifurcations takes place as the Reynolds number is increased, up to the onset of nonperiodic behaviour. It also shows that energy can be transferred from the low- wavenumber to the high-wavenumber mode.     

ST radar observations of atmospheric waves over mountainous areas: a review

Lee and mountain waves are dominant dynamic processes in the atmosphere above mountain areas. ST VHF radars had been intensively used to investigate these wave processes. These studies are summarized in this work. After discussing features of long-period quasi-stationary lee waves, attention is drawn to the frequent occurrence of freely propagating waves of shorter periods, which seem to be more common and characteristic for wave processes generated over mountainous areas. Characteristics of these waves such as their relation to the topography and background winds, the possibility of trapping by and breaking in the tropopause region and their propagation into the stratosphere is investigated. These orographically produced waves transport energy and momentum into the troposphere and stratosphere, which is considered an important contribution to the kinetic energy of the lower atmosphere. The occurrence of inertia-gravity waves in the stratosphere had been confused with lee waves, which is discussed in conclusion. Finally further questions on mountain and lee waves are drawn up, which remain to be solved and where investigations with ST radars could play a fundamental role.     

关于震源体物理意义的实验研究

运用固体传压介质岩石三轴试验装置模拟震源失稳振动过程，采取多点布设电阻应变片的方法，对试件突发失稳振动行为及其在试件－压机系统中的传播过程进行观测，测试结果为：应力振动的初动半周期平均约为０．１１ｍｓ，与岩石类型，周压及应力降等因素无关，振幅逐渐衰减；在试件－压机系统中，振动波从试件错动面处向外传播，其速度约为３．３０ｍ／ｍｓ；在失稳初动半周期内，振动波向试件以上传播的距离为３６３ｍｍ，传播的范围     

横向各向同性(VTI)介质中非线性地震波场模拟

数值计算方法是考察非线性弹性波在介质中（如岩石）传播特征的重要手段.非线性弹性波的数值模拟存在陡峭间断面（点）、数值振荡以及误差的指数级增长等现象而破坏数值解的稳定性、收敛性，能否消减上述现象的不利影响成为制约数值方法有效与否的重要因素.文中同时引入了FCT算子和幅值限制器，采用中心差分格式对具有垂直对称轴的横向各向同性（VTI）介质中的二维非线性弹性波进行数值模拟，从而克服了上述困难；介绍了适用于非线性弹性波的吸收边界条件，给出了差分方程的稳定性条件.在验证了方法的有效性后成功地获取了二维VTI介质中非线性弹性波的三分量地震正演记录，表明非线性波在传播过程中会发生波形畸变等现象.     

Nonlinear interactions between gravity waves and tides

In this study, we present the nonlinear interactions between gravity waves (GWs) and tides by using the 2D numerical model for the nonlinear propagation of GWs in the compressible atmosphere. During the propagation in the tidal background, GWs become instable in three regions, that is z = 75―85 km, z = 90―110 km and z = 115―130 km. The vertical wavelength firstly varies gradually from the initial 12 km to 27 km. Then the newly generated longer waves are gradually compressed. The longer and shorter waves occur in the regions where GWs propagate in the reverse and the same direction of the hori-zontal mean wind respectively. In addition, GWs can propagate above the main breaking region (90—110 km). During GWs propagation, not only the mean wind is accelerated, but also the amplitude of tide is amplified. Especially, after GWs become instable, this amplified effect to the tidal amplitude is much obvious.