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重力卫星可以在相同误差尺度下对全球质量变化进行连续重复观测,并在近十余年来取得了巨大成功,探索重力卫星数据精化处理方法和相关应用研究具有重要意义.本文基于三维加速度点质量模型法的基本原理,进一步发展建立了时变重力场模型球谐位系数的变化和地面点质量变化的关系,可有效考虑地表质量变化导致的负荷形变的影响;引入等权形式、线性形式、指数形式和高斯形式的空间约束方法处理南北条带噪声和向下延拓导致的病态问题,并与零阶Tikhonov正则化方法进行对比分析.采用模拟数据和一个月的实测GRACE时变重力场模型计算全球质量变化,对三维加速度点质量模型法和几种空间约束方法进行对比分析验证.计算结果表明,对于3°等面积的全球格网质量点,高斯和指数形式空间约束方法的最优相关距离约为500km,等权和线性形式空间约束方法的最优相关距离约为600km,各方法均可有效处理条带噪声的影响,四种空间约束方法的计算效果优于零阶Tikhonov正则化方法,本文的相关方法为进一步利用三维加速度点质量模型法监测全球质量变化提供了借鉴. 相似文献
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本文利用卫星重力、卫星测高和海洋温盐数据反演计算全球海水质量变化,并分析其时空变化特征.卫星重力数据利用2003年1月~2006年12月的GRACE月时变重力场球谐系数,同时考虑替换一阶项和C20项,并进行了相关误差滤波、高斯滤波和陆地水文信号泄漏改正,计算得到海洋等效水高变化;利用相同时间跨度的卫星测高数据和海洋温度、盐度水文观测数据,计算全球海平面变化和比容海平面变化,反演得到海水质量变化.反演的两种海水质量变化的年际变化特征一致性较好.三种数据得到的长期趋势变化,与1993~2003年的结果相比,可以看出,海水质量变化加速,并已成为全球海平面上升的主要因素. 相似文献
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低低卫星跟踪卫星的观测量是两低轨卫星的星间距离或星间速度,星间加速度由星间速度通过数值微分导出,用星间加速度作为观测量可以避免解算卫星运动的变分方程,简化观测方程的建立,但数值微分会使观测噪声放大,从而影响重力位的解算精度.为了定量给出星间加速度观测模式的精度,本文分析并模拟验证了数值微分公式计算星间加速度的精度,导出了基于星间加速度的一般形式的观测方程,模拟计算了基于星间加速度的重力位模型.结果表明,采用星间加速度观测模式的解算精度要明显低于星间速度观测模式的解算精度. 相似文献
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为了更充分利用低轨重力卫星的高精度观测数据,根据卫星轨道的扰动理论,导出了应用卫星轨道与星间距离观测值联合反演地球重力场模型的算法.该算法的实质是将牛顿运动方程在卫星轨道处进行展开,转化为第二类Volterra积分方程,并采用基于移动窗口的9次多项式内插公式进行数值求解.给出了该算法的观测方程,用QR分解法消去局部参数矩阵,最后采用预条件共轭梯度法求解法方程.利用GRACE卫星2008-01-01~2008-08-01时间段内的轨道及星间距离观测数据,解算了120阶次的地球重力场模型SWJTU-GRACE01S,该模型在120阶处的阶方差为1.58×10-8,大地水准面差距累计误差为22.29 cm,与美国GPS水准网比较的标准差为0.793 m,结果表明:SWJTU-GRACE01S模型精度介于EIGEN-GRACE01S与EIGEN-GRACE02S模型之间,从而验证了该算法的有效性. 相似文献
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本文设计了一种高-低卫星跟踪卫星、低-低卫星跟踪卫星和卫星重力梯度测量相结合的新型重力测量卫星系统,其可在一定程度上发挥卫星重力梯度和低低卫星跟踪卫星两种测量模式各自的优势.基于重力卫星系统指标设计的半解析法,深入分析了不同重力测量卫星系统配置和不同观测量及其不同白噪声水平情况下,新型卫星重力测量模式反演重力场模型的能力.数值模拟分析结果表明：在观测值精度和星间距离相同的条件下,轨道高度是影响重力场反演精度的关键因素;随着星间距离的增大,高频重力场信号反演精度会先提高后降低,轨道高度在200~350 km之间时,星间距离在150~180 km之间时反演精度最优;星间距离变率和卫星重力梯度两类观测值仅在某些精度配置时可达到优势互补,如果某一类观测值精度很高,则另一类观测值在联合解算时贡献非常小或者没有贡献.在300 km轨道高度,若以GRACE和GOCE任务的设计指标1 μm·s-1/√Hz和5 mE/√Hz来配置新型重力测量卫星系统中星间距离变率和引力梯度观测值的精度,联合两类观测值解算200阶次模型大地水准面的精度比独立解算分别提高1.2倍和2.8倍.如果以实现100 km空间分辨率1~2 cm精度大地水准面为科学目标,考虑卫星在轨寿命,建议轨道高度选择300 km,星间距离变率和卫星重力梯度的精度分别为0.1 μm·s-1/√Hz和1 mE/√Hz.本文的研究成果可为中国研制自主的重力测量卫星系统提供参考依据. 相似文献
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水质量分布变化对重力观测的影响 总被引：2，自引：1，他引：2
利用全球7000多个陆地气象台站观测资料、TOPEX/Poseidon卫星测高资料、多层海水温盐度数据和负荷格林函数,采用数值积分法,计算了陆地水储量及海水质量分布变化引起我国20个测站的重力变化.结果表明,我国一些测站观测的重力受水质量迁移影响超过3μGal,可见在应用重力仪观测资料研究地球动力学时,有必要作水负荷改正.另外,文中还对武汉测站的超导重力仪观测的残差和水负荷的计算结果作了比较,并讨论了不同的地球模型及气象数据对计算测站重力的影响. 相似文献
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观测的重力数据通常含有误差,传统的三维重力反演方法假设数据残差服从高斯分布,数据误差的大小和可靠估计对于三维重力反演的精度和可靠性是非常重要的.在模型正则化方面,传统的三维重力反演主要是基于Tikhonov正则化理论来获得稳定解,但是当地下密度异常体存在尖锐边界时,基于L2范数正则化的三维重力反演得到的密度异常体边界比... 相似文献
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基于低低卫卫跟踪模式,本文主要探讨利用动力学法融合精密轨道数据和星间测距或距离变率数据求解地球重力场的基本原理与方法,该方法既可对两颗低低跟踪卫星的初始状态误差进行有效校正,也可充分利用低轨卫星轨道所包含的低频重力场信息.为探讨适合我国国情的低低跟踪模式下的重力卫星指标,本文以不同星载设备精度指标的组合进行模拟计算,模拟结果显示:(1)把GRACE卫星的星间距离变率指标提高一个量级,其余指标保持与GRACE卫星设计指标一致时,可使地球重力场的精度获得同量级的提高;(2)若星间距离变率为1.0×10-8 m·s-1,轨道高度为300 km,加速度计精度为3.0×10-10 m·s-2,轨道精度为0.03 m, 星间距离100 km,与利用GRACE的设计指标反演出的重力场精度相比,可提高约121倍,并建议我国未来低低跟踪重力卫星计划参考此指标. 相似文献
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MASCON方法是直接利用GRACE任务的卫星跟踪卫星技术研究地表浅层物质运动的一种有效技术手段.该方法相较Stokes球谐系数法在一定程度上克服了时变信号的滤波问题,能有效解决该方法时变重力场的南北条带效应.本文在对现有MASCON方法深入研究的基础上对其进行了改进,提出引入卫星精密轨道作为观测值,联合高低跟踪和低低跟踪两类观测数据,实现MASCON参数及有关动力学模型参数求解的思路,在不影响时变信号主要由星间距离变率观测值提供的前提下,采用方差分量估计方法合理定权,充分利用轨道数据的绝对基准作用,用一种改进的途径实现了MASCON方法.利用2008年GRACE的卫星重力观测数据,获得了亚马逊地区的地表物质迁移结果,并与GLDAS水文模型、CSR RL05球谐系数和JPL MASCON方法计算的水储量变化进行比较,表明一致性较好,验证了本文所提MASCON方法解算思路的可靠性,该方法为研究局部地区的地表物质迁移提供了一种可行手段. 相似文献
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GOCE Data Processing: The Spherical Cap Regularization Approach 总被引：3，自引：0，他引：3
Due to the sun-synchronous orbit of the satellite gravity gradiometry mission GOCE, the measurements will not be globally
available. As a consequence, using a set of base functions with global support such as spherical harmonics, the matrix of
normal equations tends to be ill-conditioned, leading to weakly determined low-order spherical harmonic coefficients. The
corresponding geopotential strongly oscillates at the poles.
Considering the special configuration of the GOCE mission, in order to stabilize the normal equations matrix, the Spherical
Cap Regularization Approach (SCRA) has been developed. In this approach the geopotential function at the poles is predescribed
by an analytical continuous function, which is defined solely in the spatially restricted polar regions. This function could
either be based on an existing gravity field model or, alternatively, a low-degree gravity field solution which is adjusted
from GOCE observations. Consequently the inversion process is stabilized.
The feasibility of the SCRA is evaluated based on a numerical closed-loop simulation, using a realistic GOCE mission scenario.
Compared with standard methods such as Kaula and Tikhonov regularization, the SCRA shows a considerably improved performance. 相似文献
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Determination of the degree 120 time-variable gravity field in the Sichuan-Yunnan region using Slepian functions and terrestrial measurements 
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下载免费PDF全文 The terrestrial time-variable gravity measurements are characterized by a high signal-to-noise ratio and sensitivity to the sources of mass change in the Earth's crust. These gravity data have many applications, such as surface deformation, groundwater storage changes, and mass migration before and after earthquakes. Based on repeated terrestrial gravity measurements at 198 gravity stations in the Sichuan-Yunnan region (SYR) from 2015 to 2017, we determine a time series of degree 120 gravity fields using the localized spherical harmonic (Slepian) basis functions. Our results show that adopting the first 6 Slepian basis functions is sufficient for effective localized Slepian modeling in the SYR. The differences between two gravity campaigns at the same time of year show an obvious correlation with tectonic features. The degree 120 timevariable gravity models presented in this paper will benefit the study of the regional mass migration inside the crust of the SYR and supplement the existing geophysical models for the China Seismic Experimental Site. 相似文献
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Richard H. Rapp 《Surveys in Geophysics》1975,2(2):193-216
The Earth's gravity field can be determined from gravity measurements made on the surface of the Earth, and through the analysis of the motion of Earth satellites. Gravity data can be used to solve the boundary value problem of gravimetric geodesy in various ways, from the classical formulation using a geoid to the concept of a reference surface interior to the masses of the Earth to a statistical method. We now have gravity information for 10 data blocks over 46% of the Earth's surface and more than several million point measurements available.Satellite observations such as range, range-rate, and optical data have been analyzed to determine potential coefficients used to describe the Earth's gravitational potential field. Coefficients, in a spherical harmonic expansion to degree 12, can be determined from satellite data alone, and to at least degree 20 when the satellite data is combined with surface gravity material. Recent solutions for potential coefficients agree well to degree 4, but with increasing disagreement at higher degrees. 相似文献
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A Wavelet-Based Assessment of Topographic-Isostatic Reductions for GOCE Gravity Gradients 总被引：3，自引：2，他引：1
Gravity gradient measurements from ESA’s satellite mission Gravity field and steady-state Ocean Circulation Explorer (GOCE) contain significant high- and mid-frequency signal components, which are primarily caused by the attraction of the Earth’s topographic and isostatic masses. In order to mitigate the resulting numerical instability of a harmonic downward continuation, the observed gradients can be smoothed with respect to topographic-isostatic effects using a remove–compute–restore technique. For this reason, topographic-isostatic reductions are calculated by forward modeling that employs the advanced Rock–Water–Ice methodology. The basis of this approach is a three-layer decomposition of the topography with variable density values and a modified Airy–Heiskanen isostatic concept incorporating a depth model of the Mohorovi?i? discontinuity. Moreover, tesseroid bodies are utilized for mass discretization and arranged on an ellipsoidal reference surface. To evaluate the degree of smoothing via topographic-isostatic reduction of GOCE gravity gradients, a wavelet-based assessment is presented in this paper and compared with statistical inferences in the space domain. Using the Morlet wavelet, continuous wavelet transforms are applied to measured GOCE gravity gradients before and after reducing topographic-isostatic signals. By analyzing a representative data set in the Himalayan region, an employment of the reductions leads to significantly smoothed gradients. In addition, smoothing effects that are invisible in the space domain can be detected in wavelet scalograms, making a wavelet-based spectral analysis a powerful tool. 相似文献
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The satellite mission GOCE (Gravity Field and Steady-State Ocean Circulation Explorer), the first Core Mission of the Earth Explorer Programme funded by ESA (European Space Agency), is dedicated to the precise modelling of the Earth's gravity field, with its launch planned for 2006. The mathematical models for parameterizing the Earth's gravity field are based on a series expansion into spherical harmonics, yielding a huge number of unknown coefficients. Their computation leads to the solution of very large normal equation systems. An efficient way to handle these equation systems is the so-called semianalytic or lumped coefficients approach, which theoretically requires an uninterrupted, continuous time series of observations, recorded along an exact circular repeat orbit. In this paper the consequences of violating these conditions are analyzed. The effects of an interrupted observation stream onto the estimated spherical harmonic coefficients are demonstrated, and an iterative strategy, which reduces the negative influence depending on the characteristics of the data gaps, is proposed. Additionally, the impact of an imperfectly closing orbit (non-repeat orbit) on the gravity field model is analyzed, and a strategy to minimize the corresponding errors is presented. The applicability of the semianalytic approach also to a joint inversion of satellite-to-satellite tracking data in high-low mode (hl-SST) and satellite gravity gradiometry (SGG) observations is demonstrated, where the analysis of the former component is based on the energy conservation law. Several realistic case studies prove that the semianalytic approach is a feasible tool to generate quick-look gravity solutions, i.e. fast coefficient estimates using only partial data sets. This quick-look analysis shall be able to detect potential distortions of statistical significance (e.g. systematic errors) in the input data, and to give a fast feedback to the GOCE mission control. 相似文献
18.
M. A. Khan 《Surveys in Geophysics》1976,2(4):469-496
Satellite orbital data yield reliable values of low degree and order coefficients in the spherical harmonic expansion of the Earth's gravity field. The second degree coefficient yields the shape of the Earth — probably the most important single parameter in geodesy. It is crucial in the numerical evaluation of different forms of the theoretical gravity formula. The new information requires the standardization of gravity anomalies obtained from satellite gravity and terrestrial gravity data in the context of three most commonly used reference figures, e.g.,International Reference Ellipsoid, Reference Ellipsoid 1967, andEquilibrium Reference Ellipsoid. This standardization is important in the comparison and combination of satellite gravity and gravimetric data as well as the integration of surface gravity data, collected with different objectives, in a single reference system.Examination of the nature of satellite gravity anomalies aids in the geophysical and geodetic interpretation of these anomalies in terms of the tectonic features of the Earth and the structure of the Earth's crust and mantle. Satellite results also make it possible to compute the Potsdam correction and Earth's equatorial radius from the satellite-determined geopotential. They enable the decomposition of the total observed gravity anomaly into components of geophysical interest. They also make it possible to study the temporal variations of the geogravity field. In addition, satellite results make significant contributions in the prediction of gravity in unsurveyed areas, as well as in providing a check on marine gravity profiles.On leave from University of Hawaii, Honolulu. 相似文献