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基于轨道扰动引力谱分析的方法确定低低观测重力卫星反演重力场的空间分辨率 总被引：1，自引：1，他引：0
基于低低卫-卫跟踪重力卫星的轨道特性,从垂直和水平两个方向计算了重力卫星高空扰动引力,并根据其谱特性及星载加速度的测量噪声水平分析了重力卫星能反演重力场的阶数.利用EGM96重力场模型分别计算了400 km、450 km和500 km 轨道高度处重力卫星受到的扰动引力谱及扰动引力谱的平均量级,分析其垂直特性表明:在三个轨道高度处能分别能反演150、140和130阶的重力场模型.利用两颗同轨重力卫星相距220 km的特性,计算了400 km、450 km和500 km 轨道高度处纬度相差2°的两颗卫星纬向扰动引力差,即扰动引力水平分量,分析其谱特性,表明:重力卫星能反演至117阶的地球重力场模型. 相似文献
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本文试图采用卫星重力资料和一种新的反演方法来研究地幔的横向密度异常分布.先将密度异常△（r,,（?））在一个三维正交函数系下进行展开,其展开系数待定.然后,根据密度异常与重力扰动位之间的关系建立观测方程组,其中未知向量由密度异常展开系数组成,重力扰动观测向量由 GEM10B 重力模型中的位系数计算而得,并通过适当选取重力位系数的阶数,对观测向量进行滤波.最后,就下地幔（670km——CM 界面）作了实际计算.计算中,重力扰动位阶数取为2——11阶,密度异常展开式的截断阶数取为 K=4和 L=6,求解观测方程组时采用阻尼最小二乘法.结果表明:密度扰动值在670km 不连续面及核幔界面处达到极大值,且在环太平洋地区存在一高密度带,太平洋中部对应于一低密度区,这些特征与 Dziewonski 得到的下地幔三维波速异常分布特征相一致.但是,在南极地区、大西洋及印度洋部分地区,所得的密度异常分布与三维波速异常分布呈负相关,文章就其原因作了初步分析. 相似文献
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"统一引力场表示理论"的作者指出,这是一种新的理论.该理论认为,扰动位能满足重调和方程,亦即异常(扰动)密度能够满足调和方程,这样就可以用边界上的值唯一确定地球内部异常密度的分布,从而用牛顿位公式统一了地球的内外引力场.究竟能否用边界上的结果将地球的内外部引力场进行统一,这种异常密度能否满足调和方程,"统论"所定义的内部密度是否与真实地球内部密度有关,本文对以上及有关问题提出了自己的看法. 相似文献
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“统一引力场表示理论”的作者指出,这是一种新的理论．该理论认为,扰动位能满足重调和方程,亦即异常（扰动）密度能够满足调和方程,这样就可以用边界上的值唯一确定地球内部异常密度的分布,从而用牛顿位公式统一了地球的内外引力场．究竟能否用边界上的结果将地球的内外部引力场进行统一,这种异常密度能否满足调和方程,“统论”所定义的内部密度是否与真实地球内部密度有关,本文对以上及有关问题提出了自己的看法． 相似文献
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利用二维全隐欧拉格式对重力波在可压、非等温大气中的非线性传播过程进行了数值模拟和分析.分析结果表明，从对流层顶激发的重力波能稳定地经平流层传到中层顶，从而将能量和动量从一个区域带到另一个区域；在向上传播过程中，重力波经历了发展、位温翻转、对流直至最终破碎的演变；重力波的破碎是对流和小尺度波动的重要的源，对流不稳定和翻转是非线性现象的一个基本特征.计算还显示，扰动源的大小直接影响着重力波的非线性传播过程，当扰动源足够小时，重力波能稳定传播，而大振幅扰动可以加速重力波的破碎. 相似文献
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根据三度体引力位V（p）和引力场（总引力场F（p）及其垂向分量△g（p））的球谐分析理论,在球坐标系内,就起伏观测面上的三度体剩余重力异常△g（p）,提出了一种异常源全方位成像的理论和方法.其特点是：直接利用起伏观测面上的异常数据；把垂直引力场△g（p）的全方位延拓及其向总引力场F（p）和引力位V（p）的转换,和△g（p）异常源质量、质心、形态、边界位置反演等诸多问题的解决有机地结合起来,给出了多方位的场源图像,能够为最优化反演方法提供初始模型选择的依据. 相似文献
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本文给出了重力波在中层大气温度波导中的导制传播模型,并在此模型的基础上详细讨论了重力波部分导制传播下的对称模式与非对称模式,导出了不同模式下相应的特征函数和色散方程,进一步用离散的方法对两类色散方程进行了求解;同时还利用二维全隐欧拉格式（FICE）对重力波在温度波导中的传播进行了模拟,模拟的结果也成功地展现了对称与非对称两种传播模式.研究表明,下边界的扰动能量在向上传播进入波导区域后被俘获,形成导制传播.不同周期的初始扰动,在波导内均会形成对称与非对称形式两种模式的导制传播,由于两者的行进速度不一致,最终会引起两种不同模式的分离.数值模拟中重力波的水平行进速度与线性模型预测值非常接近.波导中不同模式下重力波的水平波长与初始扰动的水平波长非常一致,然而波导区域内重力波的频率与初始扰动的频率无关,频率不同的初始扰动会激发出相同频率的重力波对称与非对称导制传播模式.这表明在确定的温度波导中,水平波数才是决定重力波传播特性的决定因素.进一步的分析显示,初始扰动的水平波数-频率分布越接近完全导制传播的色散关系时,温度波导中更易于生成以该种模式部分导制传播的重力波. 相似文献
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Jiří Nedoma 《Pure and Applied Geophysics》1977,115(3):639-645
Summary The general problem of determining the figure of the earth leads to the solution of the geodetic boundary value problem. By its discrete approximation we obtain the discrete disturbing potential that maintains all properties of the original problem. Thus, the discrete approximation of the disturbing potential can be used in studying the behaviour of the earth's gravity field outside the disturbing masses. The deflections of the vertical are one of the quantities describing the behaviour of the earth's gravity field. A method for their computation from the discrete solution of the geodetic boundary value problem is put forth and estimates for its accuracy are given. 相似文献
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Jiří Nedoma 《Pure and Applied Geophysics》1973,110(1):1899-1910
Summary In the present paper the gravity field of the earth in the neighbourhood of the local disturbing masses is studied. The object of the method presented consists of the approximation of the disturbing potentialT
h
, which fulfils Laplace's equation outside disturbing masses, on the earth's surface the fundamental boundary value condition of gravity and in infinity it is to be regular by the approximation of the disturbing potential (or by the discrete disturbing potential)T
h
, which fulfils the respective finite difference approximation of Laplace's equation and the boundary value conditions in infinity and on the earth's surface. It is also shown that the approximation of the disturbing potentialT
h
has the same properties as the disturbing potentialT. The method under consideration will be derived quite generally without any hypothesis about the distribution of the mass between the earth's surface and the geoid. It commences from the gravity data related to the earth's surface only-from the given geodetic measurements. 相似文献
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针对海域重力场变化特征和远程飞行器机动发射保障应用需求,本文分析研究了地球外部空间扰动引力三类传统计算模型的技术特点及其适用性,指出了采用表层法作为海域流动点扰动引力计算模型的合理性及需要解决的关键问题,分析论证了空中扰动引力计算对地面观测数据的分辨率和精度要求,提出通过引入局部积分域恒等式变换、局域泰勒级数展开和非网格点内插方法,消除表层法计算模型积分奇异性固有缺陷的研究思路,进而推出了适合于海域流动点应用的扰动引力无奇异计算模型,较好地满足了全海域和全高度段对局部扰动重力场快速赋值的实际需求.以超高阶全球位模型EGM2008作为标准场,通过数值计算验证了无奇异计算模型的可行性和有效性,在重力场变化比较剧烈的海沟区,该模型的计算精度优于2×10-5m·s-2. 相似文献
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JIANG Tao LI JianCheng DANG YaMin ZHANG ChuanYin WANG ZhengTao KE BaoGui 《中国科学:地球科学(英文版)》2014,57(7):1637-1644
Regional gravity field modeling with high-precision and high-resolution is one of the most important scientific objectives in geodesy,and can provide fundamental information for geophysics,geodynamics,seismology,and mineral exploration.Rectangular harmonic analysis(RHA)is proposed for regional gravity field modeling in this paper.By solving the Laplace’s equation of gravitational potential in local Cartesian coordinate system,the rectangular harmonic expansions of disturbing potential,gravity anomaly,gravity disturbance,geoid undulation and deflection of the vertical are derived,and so are the formula for signal degree variance and error degree variance of the rectangular harmonic coefficients(RHC).We also present the mathematical model and detailed algorithm for the solution of RHC using RHA from gravity observations.In order to reduce the edge effects caused by periodic continuation in RHA,we propose the strategy of extending the size of computation domain.The RHA-based modeling method is validated by conducting numerical experiments based on simulated ground and airborne gravity data that are generated from geopotential model EGM2008 and contaminated by Gauss white noise with standard deviation of 2 mGal.The accuracy of the 2.5′×2.5′geoid undulations computed from ground and airborne gravity data is 1 and 1.4cm,respectively.The standard error of the gravity disturbances that downward continued from the flight height of 4 km to the geoid is only 3.1 mGal.Numerical results confirm that RHA is able to provide a reliable and accurate regional gravity field model,which may be a new option for the representation of the fine structure of regional gravity field. 相似文献
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时变重力场是研究地球内部介质物性变化的重要手段。本文提出了一种适用于地面流动重力测量获得的时变重力信号的场源反演方法,该方法采用球坐标系下的六面体单元来模拟场源介质,适合大尺度地震流动重力测量数据的等效源模型构建。通过引入重力时变信号的一阶光滑先验条件,压制了时变重力信号中的短周期高频分量,可用于提取与地震孕育相关的长周期信号。通过理论和模型实验证明了本文算法的可靠性和稳定性,并使用南北地震带南段2014—2017年的流动重力实测数据进行了反演解释,获得了地壳内部等效场源的视密度时变信号,变化量级在正常地壳密度的±0.7‰之间,其空间形态受川滇菱形块体边界控制。研究成果可用于时变重力场模型解释和深部场源特征提取,可为地震重力前兆信号分析和相关研究提供完备的方法保障。 相似文献
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Robert Tenzer Pavel Novák Ilya Prutkin Artu Ellmann Peter Vajda 《Studia Geophysica et Geodaetica》2009,53(2):157-167
To reduce the numerical complexity of inverse solutions to large systems of discretised integral equations in gravimetric
geoid/quasigeoid modelling, the surface domain of Green’s integrals is subdivided into the near-zone and far-zone integration
sub-domains. The inversion is performed for the near zone using regional detailed gravity data. The farzone contributions
to the gravity field quantities are estimated from an available global geopotential model using techniques for a spherical
harmonic analysis of the gravity field. For computing the far-zone contributions by means of Green’s integrals, truncation
coefficients are applied. Different forms of truncation coefficients have been derived depending on a type of integrals in
solving various geodetic boundary-value problems. In this study, we utilise Molodensky’s truncation coefficients to Green’s
integrals for computing the far-zone contributions to the disturbing potential, the gravity disturbance, and the gravity anomaly.
We also demonstrate that Molodensky’s truncation coefficients can be uniformly applied to all types of Green’s integrals used
in solving the boundaryvalue problems. The numerical example of the far-zone contributions to the gravity field quantities
is given over the area of study which comprises the Canadian Rocky Mountains. The coefficients of a global geopotential model
and a detailed digital terrain model are used as input data. 相似文献
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在唐山地震前两个月至主震后约半年的时段内,西集、宝坻、塘沽等三个地电观测台自然电场断续出现特定周期的变化:其周期为半月、一月及半年;其双振幅每公里达数十乃至一、二百毫伏(超过平时观测标准误差6—20倍);电场呈线性极化,其方向大致平行台址附近断裂带的走向。若把这种变化同复杂的干扰区分开并与理论重力值对比,似与日、月起潮力有所联系。其中半月周期变化的极值点,还与震中周围两口废油井间歇自喷现象同时出现,表明电场的这种变化可能与断裂带內地下液体运动状态的变化有关,故认为是一种过滤速度受起潮力调制的过滤电场.微小的起潮力只在主震前后一段时间内才引起这种过滤电势的变化。 相似文献
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分析了地球自转引起的位旋转效应公式中采用近似速度的影响. 对一组GFZ的快速科学轨道、一组TUM的约化动力法轨道以及一组GFZ的事后科学轨道，计算了星历提供的速度与只有地球引力场对卫星产生作用时的卫星速度的差值，其中参考重力场模型分别采用EGM96、EIGEN2和EIGEN_CG01C. 通过比较得出：轨道数据与EIGEN2地球重力场模型的自恰性优于EGM96和EIGEN_CG01C地球重力场模型. 速度差各分量的变化具有很明显的周期性且与卫星轨道的运行周期相吻合. 当要求在卫星轨迹处获得1m2/s2精度的扰动位时，也即要求位旋转效应公式中卫星速度的近似精度小于2mm/s时，GFZ的快速科学轨道、TUM的约化动力法轨道只需要剔除那些速度精度不满足要求的卫星轨迹点；当要求在卫星轨迹处获得05m2/s2精度的扰动位时，应当重新估算上述轨道的速度信息，或采用精度更高的GFZ事后科学轨道. 相似文献
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Parameters of the gravity field harmonics outside the geoid are sought in solving the Stokes boundary-value problem while
harmonics outside the Earth in solving the Molodensky boundary-value problem. The gravitational field generated by the atmosphere
is subtracted from the Earth’s gravity field in solving either the Stokes or Molodensky problem. The computation of the atmospheric
effect on the ground gravity anomaly is of a particular interest in this study. In this paper in particular the effect of
atmospheric masses is discussed for the Stokes problem. In this case the effect comprises two components, specifically the
direct and secondary indirect atmospheric effects. The numerical investigation is conducted at the territory of Canada. Numerical
results reveal that the complete effect of atmosphere on the ground gravity anomaly varies between 1.75 and 1.81 mGal. The
error propagation indicates that precise determination of the atmospheric effect on the gravity anomaly depends mainly on
the accuracy of the atmospheric mass density distribution model used for the computation. 相似文献