论相对点位精度的合理评定

按现行方法求得的相对点位精度由于未顾及起始数据误差的影响 ,且非实际所需评定的相对点位精度 ,因此并不客观、可靠。本文所提出的协方差基准的概念 ,用来定义相对点位精度和绝对点位精度有其客观性和实用性 ,协方差基准作为控制网点精度的参考基准 ,并不重合于网点坐标的参考基准—坐标基准 ,而可按应用的需要 ,方便地进行协方差基准转换。本文提出了合理评定相对点位精度的新方法 ,并用高精度工程控制网的实测数据进行了分析验证     

一类球谐函数与三角函数乘积积分的计算

本文根据球谐函数的跨次递推公式和三角函数的性质,详细推导了在重力梯度调和分析中出现的一类球谐函数积分的跨次递推公式和递推初始值的计算公式。数值试验表明,球谐函数跨次递推算法具有快速、稳定的优点。该类积分的跨次递推实现,为卫星重力梯度调和分析奠定了算法基础。     

高斯平面坐标换算到测区平均高程面上的方法

依据高斯投影原理，提出了一种在高斯平面与任决高程平面间进行坐标转换的方法，并设计了相应的计算软件。     

Relation of the Wave-Propagation Metric Tensor to the Curvatures of the Slowness and Ray-Velocity Surfaces

The contravariant components of the wave-propagation metric tensor equal half the second-order partial derivatives of the selected eigenvalue of the Christoffel matrix with respect to the slowness-vector components. The relations of the wave-propagation metric tensor to the curvature matrix and Gaussian curvature of the slowness surface and to the curvature matrix and Gaussian curvature of the ray-velocity surface are demonstrated with the help of ray-centred coordinates.     

计算震磁背景场的数学方法

如何计算地磁场 (或地磁剩余场 )及其长期变化的趋势变化 ,是提取震磁异常的关键。文章简要介绍了计算震磁背景场的数学方法 :多项式方法、球冠谐和分析方法、矩谐分析方法和曲面样条函数方法     

太阳风在地球激波前兆区减速的统计研究

本文首次利用完全相同两颗卫星（CLUSTER C1和C3）的数据对地球激波前兆区太阳风的减速和偏转特性进行了统计研究.结果表明,在激波前兆坐标系中,太阳风减小的速度随观测点到激波的距离D_BS增大而减小,随行星际磁场与激波法向夹角θ_BN增大也减小,在ULF波动区深度D_WS小于6R_e(R_e为地球半径)的范围内最为显著;伴随着太阳风减速的另外一个现象——太阳风的偏转,也存在相似的规律.其最大减速和最大偏转角度分别为10 km/s和3°.太阳风减速和偏转,以及随之变化的太阳风动压,可能会引起地球磁层顶位置和形状发生改变,同时也为激波前兆区弥散（diffuse）离子的起源及加热提供了一种可能的机制.     

旋转椭球面上的应变与转动张量表达

以旋转椭球体面上某点为原点建立一个大地坐标单位活动坐标架. 通过平移, 使活动坐标架的原点与以椭球中心为原点的笛卡尔单位标架的原点相重合. 然后再通过两次标架旋转, 使活动坐标架与笛卡尔单位标架完全重合. 本文给出了使两个单位标架相重合的转换关系式, 以及该点位移在两个单位标架中的坐标转换式; 在此基础上, 考虑该点的位移及活动坐标架皆为该点大地坐标的函数, 经复杂推导, 分别给出了该点位移向量的微分在大地坐标系中的分量以及该点分别沿坐标曲线的弧微分表达式, 继而导出了该点的位移梯度矩阵; 最后推导出了椭球坐标系的应变张量与转动张量表达式, 并对转动张量的几何含义进行了较详细的解释, 且采用曲面理论对球面与椭球面的应变张量间的内在关系进行了讨论.      

On the stability of stratified plane couette flow

Abstract

Unbounded stratified plane Couette flow is shown to be stable against small amplitude disturbances. The Brunt-Väisälä frequency is assumed to be constant. Both viscosity and thermal diffusion are included, and shown to be stabilizing.     

插桩过程对临近平台桩基础的影响研究

由于大型自升式钻井船的插桩位置通常距离海上钻井与采油平台较近,桩靴的插入过程可能会对临近平台的桩基础承载力和稳定性产生不利影响。以实际工程为背景,运用球孔扩张理论推导挤土效应产生的水平附加应力大小及其范围;提出一种近似考虑动力挤土效应的拟静力数值模拟方法,分析桩靴下沉到不同深度处时的桩基承载力、桩身应力和最大水平位移,并与静力分析结果进行对比。研究表明,桩靴插入过程对周围土体产生巨大的挤压和扰动作用,使得桩基承载力降低,桩身应力变大,最大水平位移增加;与静力法计算数值相比,由挤土效应导致的单桩承载力下降6%~8%,桩身应力增大30%~80%,桩身最大变形量增长1倍。     

Water and nutrient fluxes off Northwest Africa

A historical data set is used to describe the coastal transition zone off Northwest Africa during spring 1973 and fall 1975, from 17° to 26°N, with special emphasis on the interaction between subtropical (North Atlantic Central Waters) and tropical (South Atlantic Central Waters) gyres. The near-surface geostrophic circulation, relative to 300 m, is quite complex. Major features are a large cyclonic pattern north of Cape Blanc (21°N) and offshore flow at the Cape Verde front. The large cyclone occurs in the region of most intense winds, and resembles a large meander of the baroclinic southward upwelling jet. The Cape Verde frontal system displays substantial interleaving that may partly originate as mesoscale features at the coastal upwelling front. Property–property diagrams show that the front is an effective barrier to all properties except temperature. The analysis of the Turner angle suggests that the frontal system is characterized by large heat horizontal diffusion as a result of intense double diffusion, which results in the smoothing of the temperature horizontal gradients. Nine cross-shore sections are used to calculate along-shore geostrophic water-mass and nutrient transports and to infer exchanges between the coastal transition zone and the deep ocean (import: deep ocean to transition zone; export: transition zone to deep ocean). These exchanges compare well with mean wind-induced transports and actual geostrophic cross-shore transport estimates. The region is divided into three areas: southern (18–21°N), central (21–23.5°N), and northern (23.5–26°N). In the northern area geostrophic import is roughly compensated with wind-induced export during both seasons. In the central area geostrophic import is greater than wind-induced export during spring, resulting in net import of both water (0.8 Sv) and nitrate (14 kmol s⁻¹), but during fall both factors again roughly cancel. In the southern area geostrophy and wind join to export water and nutrients during both seasons, they increase from 0.6 Sv and 3 kmol s⁻¹ during fall to 2.9 Sv and 53 kmol s⁻¹ during spring.