计算平均重力异常的一个简易平滑因子     

刘缵武  陆仲连 《测绘学院学报》1995,(3)

本文绘出了一个在计算平均重力异常中简单易算的平滑因子公式，并将其与Ｃｏｌｏｍｂｏ最佳平滑因子进行了比较，获得了两者具有相同精度的结论；再将其与直接积分得到的相应因子进行比较，结果表明：在我国范围内计算平均重力异常的误差小于１毫伽。  相似文献   

The spherical horizontal and spherical vertical boundary value problem – vertical deflections and geoidal undulations – the completed Meissl diagram     

E. W. Grafarend 《Journal of Geodesy》2001,75(7-8):363-390

 In a comparison of the solution of the spherical horizontal and vertical boundary value problems of physical geodesy it is aimed to construct downward continuation operators for vertical deflections (surface gradient of the incremental gravitational potential) and for gravity disturbances (vertical derivative of the incremental gravitational potential) from points on the Earth's topographic surface or of the three-dimensional (3-D) Euclidean space nearby down to the international reference sphere (IRS). First the horizontal and vertical components of the gravity vector, namely spherical vertical deflections and spherical gravity disturbances, are set up. Second, the horizontal and vertical boundary value problem in spherical gravity and geometry space is considered. The incremental gravity vector is represented in terms of vector spherical harmonics. The solution of horizontal spherical boundary problem in terms of the horizontal vector-valued Green function converts vertical deflections given on the IRS to the incremental gravitational potential external in the 3-D Euclidean space. The horizontal Green functions specialized to evaluation and source points on the IRS coincide with the Stokes kernel for vertical deflections. Third, the vertical spherical boundary value problem is solved in terms of the vertical scalar-valued Green function. Fourth, the operators for upward continuation of vertical deflections given on the IRS to vertical deflections in its external 3-D Euclidean space are constructed. Fifth, the operators for upward continuation of incremental gravity given on the IRS to incremental gravity to the external 3-D Euclidean space are generated. Finally, Meissl-type diagrams for upward continuation and regularized downward continuation of horizontal and vertical gravity data, namely vertical deflection and incremental gravity, are produced. Received: 10 May 2000 / Accepted: 26 February 2001  相似文献   

用球面调和函数拟合地震波Q值空间分布收敛性的研究     

郭履灿  洪良辰 《CT理论与应用研究》1993,(2)

本文从球面调和多项式的数学理论方面研究了用球函数拟合地慢地震波Q 值空间分布方法的收敛性的问题。运用一种逼近的球面多项式的误差公式,证明用球谐函数拟合地幔地震波Q 值空间分布的方法是收敛性的;也提出从地震P 波的振幅A 和周期T 拟合、反演地幔范围P 波品质因数空间分布的误差Qer 与P 波(A、T)的观测数目N 的增加,Qer 的减少来予以验证。  相似文献   

一类R~n空间上旋转椭球面簇的广义Radon变换     

吴一刚  邱佩璋 《CT理论与应用研究》1993,(1)

本文基于二维雷达成像的原理研究了其数学问题,对R~n 空间中的图像函数f(x),已知其旋转椭球面簇上的积分值,应用广义Radon 变换来重建图像函数f(x)。利用球谐函数展开和Funk-Heck 定理证明了这种重建图像问题的存在、唯一性,并在一定的函数类中给出了它的反演解的数学表达式和推广了V.G.Romanov的工作。  相似文献   

球面波和柱面波的复射线束展开     

尧德中  阮颖铮 《地球物理学报》1993,36(6):805-810

通过在平面波谱域中比较复射线束叠加场和标准解的方法,导出了球面波和柱面波的复射线束展开系数公式.将该结果与以往文献中,通过在空间域直接比较标准解所导出的结果对比表明,本文结果具有形式简洁、自由参数少的优点.  相似文献   

Divergence of high-degree harmonic solutions of a rotating elliptical earth     

Wenke Sun  Ichiro Murata 《Geophysical Journal International》1994,118(1):269-271

  相似文献   

球体内点位错产生的球型位移场：Ⅰ．理论          下载免费PDF全文

孙文科  大久保修 《地球物理学报》1994,37(3):298-310

本文研究了ＳＮＲＥＩ模型内点位错产生的球型位移场．讨论了在用源函数表示的点力作用下的非奇次平衡方程的积分方法．通过定义位错Ｌｏｖｅ数，讨论了４种独立的位错解，并由此描述３种基本位错问题，即剪切位错、引张位错和爆破．导出了这３种位错产生的位移场的计算公式，可以用来计算任意位错源在任意点处的位移场．  相似文献   

The Meissl scheme for the geodetic ellipsoid   总被引：2，自引：1，他引：1  

S. J. Claessens  W. E. Featherstone 《Journal of Geodesy》2008,82(8):513-522

We present a variant of the Meissl scheme to relate surface spherical harmonic coefficients of the disturbing potential of the Earth’s gravity field on the surface of the geodetic ellipsoid to surface spherical harmonic coefficients of its first- and second-order normal derivatives on the same or any other ellipsoid. It extends the original (spherical) Meissl scheme, which only holds for harmonic coefficients computed from geodetic data on a sphere. In our scheme, a vector of solid spherical harmonic coefficients of one quantity is transformed into spherical harmonic coefficients of another quantity by pre-multiplication with a transformation matrix. This matrix is diagonal for transformations between spheres, but block-diagonal for transformations involving the ellipsoid. The computation of the transformation matrix involves an inversion if the original coefficients are defined on the ellipsoid. This inversion can be performed accurately and efficiently (i.e., without regularisation) for transformation among different gravity field quantities on the same ellipsoid, due to diagonal dominance of the matrices. However, transformations from the ellipsoid to another surface can only be performed accurately and efficiently for coefficients up to degree and order 520 due to numerical instabilities in the inversion.  相似文献   

Localized spectral analysis of global satellite gravity fields for recovering time-variable mass redistributions     

Shin-Chan Han  Pavel Ditmar 《Journal of Geodesy》2008,82(7):423-430

A spatiospectral localization method is discussed for processing the global geopotential coefficients from satellite mission data to investigate time-variable gravity. The time-variable mass variation signal usually appears associated with a particular geographical area yielding inherently regional structure, while the dependence of the satellite gravity errors on a geographical region is not so evident. The proposed localization amplifies the signal-to-noise ratio of the (non-stationary) time-variable signals in the geopotential coefficient estimates by localizing the global coefficients to the area where the signal is expected to be largest. The results based on localization of the global satellite gravity coefficients such as Gravity Recovery And Climate Experiment (GRACE) and Gravity and Ocean Circulation Explorer (GOCE) indicate that the coseismic deformation caused by great earthquakes such as the 2004 Sumatra–Andaman earthquake can be detected by the low-low tracking and the gradiometer data within the bandwidths of spherical degrees 15–30 and 25–100, respectively. However, the detection of terrestrial water storage variation by GOCE gradiometer is equivocal even after localization.  相似文献   

后牛顿近似下旋转椭球体的内外度规     

成浩  宋国玄  黄珹 《天文学报》2007,48(1):60-70

在后牛顿近似下,得到由均匀不可压缩理想流体在刚体自转下形成的扁球体的内外度规．对由后牛顿效应产生的度规分量利用椭球坐标系及级数展开求得解析解．对这一具体问题,在级数展开中仅存若干项,因此结果有可能用于这一度规下粒子运动的研究．  相似文献