Study of the Earth’s free core nutation by tidal gravity data recorded with international superconducting gravimeters

By stacking high-precision tidal gravity observations obtained with superconducting gravimeters at six stations in China, Japan, Belgium, France, Germany and Finland, the local systematical discrepancies in the parameter fitting, caused by atmospheric, oceanic tidal loading and the other local environmental perturbations, are eliminated effectively. As a result, the resonance parameters of the Earth’s free core nutation are accurately determined. In this study, the eigenperiod of free core nutation is given as 429.0 sidereal days, which is in agreement with those published in the previous studies. It is about 30 sidereal days less than those calculated in theoretical models (about 460 sidereal days), which confirms the real ellipticity of the fluid core of the Earth to be about 5% larger than the one expected in assumption of hydrostatic equilibrium. The quality factor (Q value) of free core nutation is given as about 9543, which, compared with those determined before based on the body tide observations, is much larger, but more close to those obtained using the VLBI observations. The complex resonance strength is also determined as (−6.10×10⁻⁴, −0.01 ×10⁻⁴)°/h, which can principally describe the deformation characteristics of an anelastic mantle.     

Simplified vibratory characterization of alluvial basins

For the analysis of seismic wave amplification, modal methods are interesting tools to study the modal properties of geological structures. Modal approaches mainly lead to information on such parameters as fundamental frequencies and eigenmodes of alluvial basins. For a specific alluvial deposit in Nice (France), a simplified modal approach involving the Rayleigh method is considered. This approach assumes a set of admissible shape functions for the eigenmodes and allows a fast estimation of the fundamental frequency of the basin. The agreement with other numerical results (Boundary Element Method) and experimental ones is fully satisfactory. The simplified modal method then appears as an efficient mean for the global vibratory characterization of geological structures towards resonance. To cite this article: J.-F. Semblat et al., C. R. Geoscience 335 (2003).     

沿岸上升流和沿岸急流的一个半解析理论

在考虑了陆架地形后，在垂直海岸的x z剖面上 ，对Boussinesq流体的非线性海洋运动方程求得了总动量守恒、温度守恒和位势涡度守恒的 普 适形式，进而得到流函数所满足的椭圆型二阶偏微分方程，在给定流体沿地形运动的条件下 ，算出问题的解. 计算结果表明，沿岸可以出现上升流也可以出现下沉流，它依赖于海洋的 大尺度背景条件. 计算所得的上升流、沿岸急流、温度的锋区结构与一些观测事实接近.     

考虑空间效应的非线性结构主共振分析

本文针对考虑空间效应非对称刚度的单层结构，利用能量法得到了结构水平侧移和扭转相耦合的振动方程，采用多尺度法研究了侧移刚度和扭转刚度之间有某一关系时的主共振，分析了结构主共振的定常解并且讨论了其稳定性，通过算例分析得到了考虑空间效应时结构的一些有益的结论。     

中国三峡地区汛期降水量的正态性研究

为了分析三峡地区降水量序列的正态性和谱结构,对降水量的常见各种变换进行试验性研究。试验包括单站降水量、降水量的平方根、立方根和Γ分布概率值等非线性变换,以及级别变换。研究区域多站平均降水量、区域降水量的主分量、区域降水量的非线性变换后的主分量和区域降水量的级别变换后的主分量等序列。研究发现三峡地区单站降水量的各种变换不改变序列原始谱结构,仅影响概率分布的偏度和峰度,使其较好地遵从正态分布,其中以Γ分布的变换以及级别变换在分布的偏度上为最好。 区域降水量的各种变换的综合指数(区域平均值和主分量)正态性及谱结构分析表明,除区域平均值变换后不改变原单站序列的谱结构外,主分量的综合指数能改变原单站序列的谱结构,同时也影响概率分布的偏度和峰度,使其能较好地遵从正态分布。其中以降水量的立方根和Γ分布概率变换以及级别变换,在分布的偏度上有较好的效果。     

非线性观测值函数的协方差和协因数传播及其权倒数

将非线性观测值函数在其近似值处泰勒级数展开，取至二次项，得到线性－二次项形式。利用线性空间［Ｌ，Ｑ］＾Ｎ的概念和性质，将它表示成［α，β］的向量形式。定义广义协方差算子和广义协因数算子，导出了线性－二次项的非线性观测值函数的广义协方差和广义协因数传播律。在此基础上，给出了非线性平差值函数和未知数函数的权倒数公式。     

QN—模型及其在覆盖区资源靶区预测中的应用

本文把数量化理论Ⅲ与Ｑ－型非线性映射在机地结合在一起，定义了一种新的数学模型－ＱＮ－模型。详细地介绍了该模型的基本原理和计算步骤，给出了模型在覆盖区资源靶区以预测中应用的实例。     

高岭石—莫来石反应系列：^27Al和^29SiMAS NMR研究

根据艰我国八个不同成因和特征的高岭土样品在４５０－１４５０℃热处理产物的ＭＡＳ ＮＭＲ谱和ＸＲＤ，ＩＲ，ＤＴＡ等研究结果，结合有关资料讨论了高岭石－莫来石反应序列的几个重要问题：１．高岭石的结构，尤其是五配位铝；２．９８０℃放热峰后的高温相是γ－Ａｌ２Ｏ３而不是Ａｌ－Ｓｉ尖晶石；３．对于莫来石化过程，认为初始莫来石８５０－９５０℃变高岭石形成，二次莫来石由分凝的ＳｉＯ２和γ－Ａｌ２Ｏ３在１２００－     

The effect of an interface boundary layer on the resonance properties of a buried structure

This paper presents a model for the analysis of the diffraction of plane waves at a cavity in an infinite homogeneous linear elastic medium supported by a segmented lining. An elastic boundary layer is introduced between the cavity lining and the infinite medium. The boundary layer is simulated by ‘elastic boundary conditions’ in which the stress is proportional to the relative displacement of the lining and of the surrounding medium boundary. A closed‐form analytical solution of the problem was obtained using the Fourier–Bessel series, the convergence of which was proven. It was shown that the number of series terms required to obtain a desired level of accuracy can be determined in advance. Using amplitude–frequency response analysis it was shown that the boundary layer produces additional ‘pseudo‐resonance’ frequencies that depend on the layer properties. These frequencies are almost identical to the eigenvalues obtained from the simple analysis of a segmented elastically supported lining. Copyright © 2003 John Wiley & Sons, Ltd.     

鄂尔多斯盆地苏里格庙气田上古生界盒8段地质与地球物理响应特征

苏里格庙气田主要产气层为上古生界石盒子组盒8段，属于三角洲平原分流河道沉积。复合砂体近南北向展布；单砂体的厚度变化大，非均质性明显，储渗变化大。盒8段含气砂岩在AVO资料上有明显反映；在综合测井资料上，盒8段表现出自然伽玛测井值、密度测井值、补偿中子测井值都偏低，电阻率、声波时差测井值较高，出现了大幅度的自然电位异常。利用核磁共振测井技术测得苏里格庙区某井盒8段3555．9m～3559．6m为气层，3560．6m～3572m为气水层，与生产实践吻合得很好。