Study of the crust and mantle using magnetic surveys by Magsat and other satellites     

Robert A. Langel 《Journal of Earth System Science》1990,99(4):581-618

Among the first measurements made from near-Earth orbiting satellites were measurements of the magnetic field. The sources of that field lie both within the Earth, in its core and crust, and in the surrounding ionosphere and magnetosphere. This article summarizes some of the methodology and results for studies of the Earth’s mantle and crust. Mantle conductivity studies can be made either by studying signals impressed on the Earth from outside, e.g., the ionosphere or magnetosphere, or by studying signals originating in the core and transmitted through the mantle. Crustal field studies begin with a careful selection of the data and subsequent removal of core and external fields by some sort of filtering. Average maps from different local times sometimes differ, presumably due to the remaining presence of fields of external origin. Several techniques for further filtering are discussed. Where large-area aeromagnetic maps are available, crustal maps derived from satellite data can be compared with upward continued data. In general, the comparisons show agreement, with some differences, particularly in and near the auroral belts. The satellite data are further reduced by various methods of inverse and forward modelling, sometimes including reduction to the pole (RTP). These techniques are generally unstable at the equator. Common methods of stabilizing the inversions include principle components analysis and ridge regression. Because of the presence of the core field, the entire crustal contribution from the field is not known. Also, there is a basic nonuniqueness to the inverse solutions. Nevertheless, magnetizations that are interpretable can be derived.  相似文献   

Descriptive statistics for N -dimensional closed arrays: A spherical coordinate approach     

Clifford R. Stanley 《Mathematical Geology》1990,22(8):933-956

Recent publications have demonstrated that the composition of a system can be described by the angles which define the vector resulting from the projection of the composition onto the unit hypersphere. Although published trigonometric relationships allow determination of the angles in any number of dimensions, no general hyperdimensional recursive formulae exist for the calculation of these quantities and their variances and covariances. A general methodology for calculating the angles which describe the compositions of systems in any number of dimensions is presented. These angles can be used to calculate statistics (central moments and resultant vectors) describing the central tendency and dispersion among rock compositions, as well as to quantify the angular differences between compositions. Equations that relate the variances and covariances of these angular variables to the variances and covariances of the actual component proportion variables are presented, allowing projection of these measurements from one reference frame to another (cartesian to spherical and vice versa).  相似文献   

对中国大陆区域地磁场提取的认识     

申宁华 《吉林大学学报(地球科学版)》1990,(4)

本文从球谐函数理论的物理含义、中国地磁数据的分布情况及实际计算结果的分析,提出对当前用球谐函数拟合法提取中国大陆区域地磁异常的几点认识。  相似文献   

二维全球气候模式的发展——由对流层向平流层的扩展          下载免费PDF全文

莫文涛  李维亮 《应用气象学报》1994,5(2):158-167

采用Arakawa的σ-p混合坐标，将李维亮等人发展的一个二维全球原始方程模式由对流层扩展到平流层中层(10 hPa)。垂直分层采用等lnp方案。发展后的模式不仅在计算上具有很好的稳定性，而且能较好地模拟平均温度场、平均纬向风场和平均经向风场及其季节性变化。同时，在模式对流层之上加上平流层后改善了对流层上层环流的模拟。  相似文献   

ANALYSIS OF SPHERICAL FUNCTION SPECTRAL STRUCTURE OF THE NORTHERN HEMISPHERE 500 HPA MONTHLY MEAN HEIGHT^*          下载免费PDF全文

Wang Panxing  Wu Hongbao 《Acta Meteorologica Sinica》1995,9(2):237-248

Study is undertaken of spherical function spectral structures of long-term mean and anomaly patterns of the Northern Hemisphere 500 hPa monthly mean geopotential height together with the seasonal and interannual variations investigated.Results show that they are marked by low dimensions and low orders,and the mean and anomaly fields can be described in terms of 20 and 50 spherical function components,respectively.  相似文献   

Efficiency of kriging estimation for square, triangular, and hexagonal grids   总被引：8，自引：0，他引：8  

Evangelos A. Yfantis  George T. Flatman  Joseph V. Behar 《Mathematical Geology》1987,19(3):183-205

Although several researchers have pointed out some advantages and disadvantages of various soil sampling designs in the presence of spatial autocorrelation, a more detailed study is presented herein which examines the geometrical relationship of three sampling designs, namely the square, the equilateral triangle, and the regular hexagon. Both advantages and disadvantages exist in the use of these designs with respect to estimation of the semivariogram and their effect on the mean square error or variance of error. This research could be used to design optimal sampling strategies; it is based on the theory of regionalized variables, in which the intrinsic hypothesis is satisfied. Among alternative designs, an equilateral triangle design gives the most reliable estimate of the semivariogram. It also gives the minimum maximum mean square error of point estimation of the concentration over the other two designs for the same number of measurements when the nugget effect is small relative to the variance. If the nugget effect is large (.90 ² or more), and the linear sampling density is >0.85r where r is the range, the hexagonal design is best. This study computes and compares the maximum mean square error for each of these designs.  相似文献   

各向异性半空间上方垂直磁偶极子电磁场的球面波展开式   总被引：3，自引：0，他引：3       下载免费PDF全文

江滨浩  刘永坦 《地球物理学报》2005,48(5):1191-1196

文中推导出单轴各向异性媒质半空间上方垂直磁偶极源电磁场的精确解析表达式. 应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式. 该展开式数学物理意义明显，并且不受场点和源点的位置、媒质的物性参数和频率等条件的限制. 利用本文的结果可十分方便地计算和分析任意场点处的电磁场分布.  相似文献   

Modelling of mantle postglacial relaxation in axisymmetric geometry with a composite rheology and a glacial load interpolated by adjusted spherical harmonics analysis     

G. Dal Forno  P. Gasperini 《Geophysical Journal International》2007,169(3):1301-1314

Although studies on glacial isostatic adjustment usually assume a purely linear rheology, we have previously shown that mantle relaxation after the melting of Laurentide ice sheet is better described by a composite rheology including a non-linear term. This modelling is, however, based on axially symmetric geometry and glacial forcing derived from ICE-3G and suffers from a certain amount of arbitrariness in the definition of the ice load. In this work we apply adjusted spherical harmonics analysis to interpolate the ice thicknesses of ICE-3G and ICE-1 glaciological models. This filters out the non-axisymmetric components of the ice load by considering only the zonal terms in the spherical harmonics expansion. The resulting load function is used in finite-element simulation of postglacial rebound to compare composite versus purely linear rheology. Our results confirm that composite rheology can explain relative sea level (RSL) data in North America significantly better than a purely linear rheology. The performance of composite rheology suggests that in future investigations, it may be better to use this more physically realistic creep law for modelling mantle deformation induced by glacial forcing.  相似文献   

Possibilities of GPS Kinematic Measurements for Geological Survey in East Slovakia     

Vladimir  Sedlak  Viera  Hurcikova 《地球空间信息科学学报》2002,5(4):21-25

This paper deals with transformation procedures for observed GPS data from the world geodetic system WGS-84 into the national geodetic grid datum S-UTCN(system of united trigonometric cadaster network) and Baa(the Baltic Sea after adjustment).Transformation from WGS-84 into SUTCN is performed most frequently by means of the 7-element Helmert transformation with three identical points.Geodetic network was adjusted by two ways.  相似文献   

由空间直角坐标计算大地坐标的简便公式     

张华海  郑南山  王军  李景芝 《全球定位系统》2002,27(4):9-12

对大地测量教科书中给出的空间三维直角坐标与大地坐标的转换公式进行了大量的计算与分析，总结得出一组由空间直角坐标计算大地坐标的简便公式。  相似文献