Methodology and use of tensor invariants for satellite gravity gradiometry   总被引：2，自引：1，他引：1  

Oliver Baur  Nico Sneeuw  Erik W. Grafarend 《Journal of Geodesy》2008,82(4-5):279-293

Although its use is widespread in several other scientific disciplines, the theory of tensor invariants is only marginally adopted in gravity field modeling. We aim to close this gap by developing and applying the invariants approach for geopotential recovery. Gravitational tensor invariants are deduced from products of second-order derivatives of the gravitational potential. The benefit of the method presented arises from its independence of the gradiometer instrument’s orientation in space. Thus, we refrain from the classical methods for satellite gravity gradiometry analysis, i.e., in terms of individual gravity gradients, in favor of the alternative invariants approach. The invariants approach requires a tailored processing strategy. Firstly, the non-linear functionals with regard to the potential series expansion in spherical harmonics necessitates the linearization and iterative solution of the resulting least-squares problem. From the computational point of view, efficient linearization by means of perturbation theory has been adopted. It only requires the computation of reference gravity gradients. Secondly, the deduced pseudo-observations are composed of all the gravitational tensor elements, all of which require a comparable level of accuracy. Additionally, implementation of the invariants method for large data sets is a challenging task. We show the fundamentals of tensor invariants theory adapted to satellite gradiometry. With regard to the GOCE (Gravity field and steady-state Ocean Circulation Explorer) satellite gradiometry mission, we demonstrate that the iterative parameter estimation process converges within only two iterations. Additionally, for the GOCE configuration, we show the invariants approach to be insensitive to the synthesis of unobserved gravity gradients.  相似文献   

A data-driven approach to local gravity field modelling using spherical radial basis functions   总被引：3，自引：0，他引：3  

R. Klees  R. Tenzer  I. Prutkin  T. Wittwer 《Journal of Geodesy》2008,82(8):457-471

We propose a methodology for local gravity field modelling from gravity data using spherical radial basis functions. The methodology comprises two steps: in step 1, gravity data (gravity anomalies and/or gravity disturbances) are used to estimate the disturbing potential using least-squares techniques. The latter is represented as a linear combination of spherical radial basis functions (SRBFs). A data-adaptive strategy is used to select the optimal number, location, and depths of the SRBFs using generalized cross validation. Variance component estimation is used to determine the optimal regularization parameter and to properly weight the different data sets. In the second step, the gravimetric height anomalies are combined with observed differences between global positioning system (GPS) ellipsoidal heights and normal heights. The data combination is written as the solution of a Cauchy boundary-value problem for the Laplace equation. This allows removal of the non-uniqueness of the problem of local gravity field modelling from terrestrial gravity data. At the same time, existing systematic distortions in the gravimetric and geometric height anomalies are also absorbed into the combination. The approach is used to compute a height reference surface for the Netherlands. The solution is compared with NLGEO2004, the official Dutch height reference surface, which has been computed using the same data but a Stokes-based approach with kernel modification and a geometric six-parameter “corrector surface” to fit the gravimetric solution to the GPS-levelling points. A direct comparison of both height reference surfaces shows an RMS difference of 0.6 cm; the maximum difference is 2.1 cm. A test at independent GPS-levelling control points, confirms that our solution is in no way inferior to NLGEO2004.  相似文献   

利用参考重力场模型基于能量法确定GRACE加速度计校准参数   总被引：1，自引：0，他引：1  

徐新禹  李建成  王正涛  邹贤才 《武汉大学学报(信息科学版)》2008,33(1):72-75

利用多个参考重力场模型分别对GRACE一个月的实测加速度计观测数据进行检校.数值计算结果的比较分析表明了利用参考重力场模型确定加速度计校准参数是有效的.  相似文献   

底摩擦重力试验在倾倒变形岩体稳定性研究中的应用   总被引：2，自引：0，他引：2  

陈孝兵  李渝生  赵小平 《地学前缘》2008,15(2):300-304

底摩擦重力试验(底摩擦试验)是利用相似理论分析原理,将研究原形按几何比例和各种物理力学参数,制作相似模型及确定相应的边界条件。然后按照相似边界条件进行加载试验,再现曾经发生过或今后将会出现的物理力学现象,进而了解其发展演化规律及其对工程的影响。澜沧江某水电站坝肩主要为典型的倾倒变形岩体,为探讨倾倒变形岩体在天然重力场条件的变形破裂发展趋势。试验采用模拟重力场条件的岩体底摩擦模型试验技术模拟分析岩体倾倒变形进一步发展演变过程及特征。  相似文献   

邹平火山岩盆地铜矿地质成因地球物理特征探讨     

王聿军  ;汤立成 《山东地质》2008,(9):19-23

邹平铜矿处于齐河-广饶深大断裂带南部的邹平火山岩盆地中,形成于破火山口火山通道充填的石英正长闪长岩岩颈中央上部,包括伟晶岩型铜矿和细脉浸染状斑铜矿床两种类型。前者矿体较小,但品位高;后者品位较低,但规模中等。含矿石英正长闪长岩等密度小、磁性弱,故在火山岩系中呈现高背景重力场上的重力低和杂乱高磁场背景中的低负异常,即“重磁同低”,且高极化。重磁同低异常区和高极化率异常带,是本区寻找铜矿的有利部位。  相似文献   

对河南省栾川县大练沟泥石流治理的经验总结   总被引：1，自引：0，他引：1  

任军旗  方茜娟 《地质灾害与环境保护》2008,19(1):16-19

随着国民经济迅速发展,对矿产资源的需求日益增多,20世纪七、八十年代的开采只追求产量和经济效益,而忽视了对环境的保护,开采的矿渣乱排乱放现象非常严重,严重破坏了环境,象这样的矿山在全国各地有很多,随着时间的发展,松散堆积的矿渣在洪水的作用下顺着沟道倾泻而下,形成泥石流,对下游的人民生命财产造成严重的破坏和威胁,矿山泥石流逐步发展,进入发展期和活跃期,必将造成更大的危害。因此对这样的泥石流沟进行研究和治理是很有必要的。在对河南省栾川县大练沟泥石流的治理过程中,得出以下几点体会,现总结归纳出来,希望对类似泥石流沟的治理提供借鉴。  相似文献   

重液材料多钨酸钠在青海湖沉积物重力分离中的应用   总被引：1，自引：0，他引：1  

李善营  于炳松  Hailiang DONG  刘英超 《矿物岩石地球化学通报》2008,27(1):69-71

多钨酸钠是一种无毒、易配制、可循环使用、密度高的新型无机重液.本文利用多钨酸钠重液,用离心机重力分离的方法将青海湖沉积物分成低(≤1.9g/cm3)、中(1.2-2.8g/cm3)、高(≥2.8g/cm3)三个密度组分,平均回收率为96.5%.重力分离后的沉积物测试分析发现,有机质主要分布在富粘土矿物的中密度组,揭示了粘土矿物的表面吸附是青海湖底沉积物有机质的主要赋存形式.  相似文献   

联合多种测高数据确定中国海及其邻域1．5′×1．5′重力异常     

王虎彪  王勇  陆洋  周旭华 《武汉大学学报(信息科学版)》2008,33(12):1292-1295

联合多种测高资料和Geosat/GM波形重构数据,基于EIGEN_CG01C重力场模型,采用沿轨迹加权最小二乘方法和逆Vening-Meinesz公式,确定了中国海及其邻域1.5′×1.5′重力异常。将计算结果与最新船测资料进行了比较,标准差为3.37×10-5m.s-2。  相似文献   

The Glueckstadt Graben of the North-German Basin: new insights into the structure from 3D and 2D gravity analyses   总被引：1，自引：0，他引：1  

Tamara Yegorova  Yuriy Maystrenko  Ulf Bayer  Magdalena Scheck-Wenderoth 《International Journal of Earth Sciences》2008,97(5):915-930

The structure of the Glueckstadt Graben has been investigated by use of 3D gravity backstripping technique and by 2D gravity and magnetic modelling. Subtracting the gravity effects of the Meso-Cenozoic sediments together with Permian salt reveals a positive residual anomaly within the Glueckstadt Graben. This anomaly includes two local maxima over the Westholstein and Eastholstein Troughs. The 2D gravity models point to the presence of a high-density body within the lower crust of the Glueckstadt Graben. In addition, the results of 2D magnetic modelling indicate that the central part of the high-density body is overlain by an area with high susceptibility. Most probable, the formation of this high-density body is a result of complex poly-phase tectonic history of the study area. Finally, the results of gravity modelling indicate that Permian salt is not homogeneous. 3D gravity analysis and, especially, 2D gravity modelling have distinguished the differences in degree of salt saturation in salt-rich bodies, and elucidate the proportion of Rotliegend salt.  相似文献   

基于ICCP算法的重力辅助惯性导航   总被引：7，自引：0，他引：7  

王志刚  边少锋 《测绘学报》2008,37(2):0-249

迭代最近等值线算法(ICCP)是一种重要的匹配导航算法,文中首先介绍ICCP算法的基本原理,随后在0.2′×0.2′重力异常数据库的基础上,利用ICCP算法进行仿真计算得到最佳匹配位置。最后为了验证匹配位置是否可用于修正惯导误差,提出将匹配位置误差作为观测量,用卡尔曼滤波对惯导系统误差进行最优估计。由最后的仿真结果可以看出,ICCP算法可有效抑制惯导纬度误差的增长,且最大纬度误差不超过2,′以匹配位置误差作为观测量可以用来估计惯导方位误差角。  相似文献