边界条件对土层粘弹性地震反应的影响

边界条件是土层粘弹性地震反应必须考虑的问题。对于地表面，一般作为自由边界，而对于地下深处基岩面，边界条件有两种处理方法：一是静止边界，二是非静止边界的。首先给出了在时间域内单层地基一维土层粘弹性地震反应封闭解析解，然后从理论上分析边界条件对土层粘弹性地震反应的影响，认为采用静止边界进行土层地震反应计算得到的地震动加速度时程符合天然地震记录形式，而采用非静止边界进行土层地震反应计算得到的地震动加速度时程初始阶段出现较大幅度的振荡现象，随着土层厚度增加，这种振荡现象逐渐减弱直至消失。当土层阻尼较小或剪切波速增长时，振荡现象加剧；当土层阻尼比较大或剪切波速减小时，振荡现象减弱。此外，采用非静止边界进行土层地震反应计算，表现出随着土层厚度的增加，土层对基岩输入地震动的放大作用逐步转化为吸收作用。     

反调节水库非恒定流数值模拟

采用二维水深平均方程组作为控制方程,利用边界拟合法进行坐标变换,采用有限体积法计算反调节水库的流场。在计算中,由于已知上游泵站抽水流量及下游枢纽供水流量,且上下游均找不到水位流量关系,上下游边界均为流速边界条件,没有压力边界条件,解不惟一,所以采用全水库水量平衡方程作为补充方程来补充定解条件。     

任意点震源τ-P域地震图的解及AVO分析

用严格的数学推导得出τ-P域地震图的解析解。分析表明,τ-P域中地震图的子波可表示为激发震源子波的积分形式,决定反射波振幅的因素是平面波反射系数、反射界面上覆介质的波速以及方向因子。这些结果说明:1.在τ-P域进行AVO分析是可行的,并具有更高的精度;2.从一种新的途径可以进行速度函数的反演计算。     

双线偏振雷达的降水估测Ⅰ. 排序配对逼近法

提出使用新的途径──排序配对逼近法得出的双线偏振雷达降水估测ＺＲ关系参数因子比线性拟合法具有更好的代表性,且能体现提高区域降水估测精度,也能根据实际情形采用其它的误差类型作为获取及衡量参数的标准。对指数函数形式的ＺＲ关系来说,其参数因子Ａ０,ＡＨ及ＡＤＲ分别为０．０１６８４,０．０９６和－０．４１６５。该方法可以推广应用到多个变元及参数因子的复杂函数中。     

Lunisolar Apsidal Resonances at low Satellite Orbits

Eccentricity resonances between the secular motion of an Earth satellite's orbit and the longitudes of the Sun and the Moon are studied within a Hamiltonian framework. The problem is approximated in a traditional manner, with the Earth's potential including only the second zonal harmonic, and a Hill‐type approximation for perturbing bodies. For a family of 10 resonances, stable and unstable points are identified and libration widths are estimated. Numerical values are given for the maximum variation of eccentricity available at each resonance. The respective amplitudes of the perigee heights' librations range from 2 to 750 km. The resonances of the solar origin are generally stronger than their lunar counterparts. This revised version was published online in July 2006 with corrections to the Cover Date.     

Extended Fundamental Model of Resonance

Fundamental models are the simplest, one degree of freedom Hamiltonians that serve as a tool to understand the qualitative effects of various resonances. A new, extended fundamental model (EFM) is proposed in order to improve the classical, Andoyer type, second fundamental model (SFM). The EFM Hamiltonian differs from the SFM by the addition of a term with the third power of momentum; it depends on two free parameters. The new model is studied for the case of a first-order resonance, where up to five critical points can be present. Similarly, to the respective SFM, it admits only the saddle-node bifurcations of critical points, but its advantage lies in the capability of generating the separatrix bifurcations, known also as saddle connections. The reduction of parameters for the EFM has been performed in a way that allows the use of the model in the case of the so-called abnormal resonance.     

非结构网格上的三维浅水流动数值模型

针对当前复杂环境水流模拟的需求,建立了新型的基于特征型高分辨率数值算法的三维非结构网格浅水动力模型。模型采用有限体积法离散sigma坐标下的三维浅水方程,运用Roe黎曼近似解评估水平界面通量。模型网格拟合边界能力强,可根据需要局部加密;格式数值性能优良,具有守恒性、单调迎风性、高数值分辨率等特性。同时,应用干湿判别法处理动边界,以适应浅滩地形漫/露过程模拟的需要。封闭水池内部风生环流、干河床上溃坝过程和长江口实际潮流场的模拟从不同侧面展示了模型的特点,结果表明它能够准确地预测水流的三维流动结构,而且计算简单高效,具有良好的数值稳定性。     

Scattering of Rayleigh waves by a shallow circular alluvial valley： High-frequency solution

Introduction The effect of local site conditions on wave propagation is one of the most attractive topics in engineering seismology. It may be resolved by either a numerical method or an analytical method. Numerical methods include the finite difference, finite element, boundary element method, etc. The analytical method is the wave function expansion method. The advantage of these numerical methods is that they can be applied to local inhomogeneity of arbitrary shapes, but analytical method …     

A tectonic stress map of China and adjacent regions from earthquakes occurred during 2000～2004

Earthquake focal mechanism solutions provide the basic information about the present-day regional tectonics stress distribution, which controls the activities of crustal faults. Therefore, continued efforts for updating the da-tabase of earthquake focal mechanism solutions are quite valuable and important. The international lithosphere program initiated the ″world stress map project″ (Zoback, 1992) since 1980′s. During this project, worldwide studies and measurements of present-day regional…