Transformation from Cartesian to Geodetic Coordinates Accelerated by Halley’s Method

By using Halley’s third-order formula to find the root of a non-linear equation, we develop a new iterative procedure to solve an irrational form of the “latitude equation”, the equation to determine the geodetic latitude for given Cartesian coordinates. With a limit to one iteration, starting from zero height, and minimizing the number of divisions by means of the rational form representation of Halley’s formula, we obtain a new non-iterative method to transform Cartesian coordinates to geodetic ones. The new method is sufficiently precise in the sense that the maximum error of the latitude and the relative height is less than 6 micro-arcseconds for the range of height, −10 km ≤ h ≤ 30,000 km. The new method is around 50% faster than our previous method, roughly twice as fast as the well-known Bowring’s method, and much faster than the recently developed methods of Borkowski, Laskowski, Lin and Wang, Jones, Pollard, and Vermeille.     

波动方程辛几何算法三维叠前深度偏移在集群式并行机上的实现

波动方程三维叠前深度偏移研究,已成为近年国内外众多油气勘探科研单位的研究焦点,其关键问题之一是借助于软硬件及其匹配的进步,以求解决计算量庞大的障碍。作者在本文中从油田实际出发,提出了一套并行波动方程辛几何算法三维叠前深度偏移方法与处理流程,运用32节 点集群式并行机,完成了XJWZ地区150km的二维和WJT地区126km^2的三维地震资料波动方程叠前深度偏移处理。其成像的效果,在信噪比、分辨率、深层复杂构造成像等方面均获得了显著改善。     

五维Kaluza-Klein理论与各种空间中的Dirac场

导出了 Weitzenbock空间五维 Kaluza-Klein理论中的 Dirac方程 ;对 3种空间Kaluza-Klein理论中的 Dirac方程进行了比较和分析 ;根据理论的简单性要求 ,得出 Kaluza-Klein理论最适用于 Weitzenbock空间的结论     

A model for solar quiet day variation at low latitude from past observations using singular spectrum analysis

Singular spectrum isolates significant principal components in a time series from the embedded noise. This tool-kit is used to reconstruct trend-free individual time series, formed by restricting the mean monthly hourly values of geomagnetic field to one hour at a time at a low latitude station Alibag (dipole latitude 9.5°N). Each reconstructed component is extrapolated over the next 12 values using an autoregressive model based on Burg’s maximum entropy algorithm. Details of a numerical approach to increase the reliability of extrapolation are highlighted. The extrapolated reconstructed components are then combined to generate predicted monthly values for each hour. The mean diurnal variation for any month obtained from the extrapolated individual hourly time series compares favorably with the observations. This approach to Sq(H) modelling incorporating both long and short term variations will be beneficial in the derivation of Dst index.     

河道非平稳流的内摩阻损失

洪水波在运动中不变形,则没有内摩阻损失,即所谓运动波。波体在传统途中变形,则有加速项或惯性力,内摩阻力等于惯性力。动量没有内摩阻损失,能量有内耗,故在非平稳流情况下,动量方程要比能量方程多一项惯性波。     

利用GIS实现区化扫面采样点地质代码自动识别

本文主要介绍利用ＧＩＳ对地质图进行数字化采集和编辑,填写每个区的地质属性信息,将区化扫面中涉及的采样点与区进行拓扑分析,从而完成采样点地质代码的自动填写。并介绍了处理过程中的技术难点,为今后化探扫面中地质代码的填写提供了新的方法。     

潜在腾发量的随机过程特性探讨—— 一个实例研究

利用中国科学院禹城试验站的系列气象观测资料计算了逐日潜在腾发量(ETP).将日潜在腾发量系列分解为均值项和随机项两个部分,利用标准差对随机项进行了标准化处理.而后着重研究了标准化以后的随机序列的随机过程特征.首先,建立了该系列的离散的时间序列模型,然后在此基础上建立了相应的连续参数的随机模型,取得了该序列的理论概率分布密度和稳态概率分布密度,并得到了观测结果的验证,同时,还得到了该序列的自相关函数和谱密度函数的解析表达式,从而比较全面地分析了腾发量系列的随机过程特性.     

地下水环境中污染物迁移预测实验数学模型基本方程探讨

本文以钴为研究对象,运用相似理论,探讨采用黑箱功能模拟方法、通过模拟实验来建立地下水中污染物迁移预测的实验数学模型的基本方程。     

Statistical Properties of Ideal Rock Textures: Relationship Between Crystal Size Distribution and Spatial Correlation of Minerals

The concept of an ideal rock texture, in which crystals are distributed randomly in space, is proposed for use in general analysis of rock textures. The spatial correlation function for the ideal rock texture was examined and the function, a specific kind of spatial correlation function, is related to crystal size distribution and to some extent to crystal boundaries. The function is unity at distance zero, and monotonically decreases with increasing distance for the ideal texture. This behavior of the function is observed for any size distribution. In an ideal texture, the function is directly related to crystal size distribution and crystal shape. It is important in stereology because the crystal size distribution in three dimensions may be deduced from analyzing a function that is obtained from analyzing two-dimensional section images. Crystal shape is also related to the function. If crystals are concave in shape, or have inclusions of other phases, the function may show a hump or plateau when plotted against distance. However, the crystal shape effect cannot produce values smaller than zero. If values become negative, the texture is no longer considered ideal. The ideal textures for two model size distributions—step and delta functions—are considered. The rate of decrease of values is more strongly dependent on size distribution than on system dimension.     

沙坡头地区土壤水分吸湿凝结的动态观测与理论计算

采用实际观测与理论计算相结合方法研究了沙地表层土壤吸湿凝结水量及其变化过程。沙土水分吸湿凝结过程可分两个阶段：第一阶段是由沙土自身物理性质决定的分子凝结过程,所吸收水量主要受温度和湿度影响,最大不超过沙土最大吸湿水量;第二阶段是由近地面微气象条件决定的水分凝结过程,所吸收水量受空气水汽压、地面温度和地表可利用能量的影响。采用能量平衡和空气动力学综合方法计算沙地吸湿凝水量及其动态变化,与实测值相比结果合理,方法是可行的。