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1.
针对我国大地水准面的研究状况,提出了在国家GPSB级网完成之后,利用GPS水准、天文重力水准与重力大地水准面3类数据确定我国高精度大地水准面的理论和方法。分析了3类数据的误差传播规律,给出了联合平差模型,并用一模拟网进行了试算  相似文献   

2.
GPS水准,天文重力水准与重力大地水准面多种数据联合…   总被引:6,自引:0,他引:6  
针对我国大地水准面的研究状况,提出了在国家GPS B级网完成之后,利用GPS水准、天重力水准与和重力大地水准面3类数据确定我国高精度大地水准面的理论和方法。分析了3类数据的误差传播规律,给出了联合平差模型,并用一模拟网进行了试算。  相似文献   

3.
区域重力大地水准面确定的相对精度估计   总被引:2,自引:1,他引:1  
以频域解析方法,研究由地面重力数据、全球住模型确定区域重力大地水准面的相对精度估计.首先由Stokes公式的数值积分推导地面重力数据与球谐系敬的精度关系;再由"移去-恢复"方法的空域截断逼近模式和协方差函数的球谐表达,分别推导内区地面重力数据之误差、外区全球位模型之误差与区域重力大地水准面之相对精度的解析关系;为便于计算,提出将内区地面重力数据和外区全球位模型的频域截断误差合并,再按频段重新划分为两部分:①全球范围--地面重力数据对应频率以上的截断;②外区范围--介于全球位模型最高频率与地面重力数据对应频率之间的截断,以经验阶方差模型分别估计之.模拟计算显示了地面重力数据之精度、分辨率、积分半径和全球位模型之精度、分辨率与区域重力大地水准面之相时精度的具体对应关系.本文研究同样适用于区域重力似大地水准面的确定.  相似文献   

4.
利用空中平均重力异常确定区域大地水准面   总被引:3,自引:0,他引:3  
提出了直接利用空中平均重力异常计算区域大地水准面的方法。模拟计算的结果表明, 该方法与传统的利用地面平均空间重力异常确定的大地水准面精度相当, 但其显著优点是勿需空中重力异常的向下解析延拓, 从而可以避免延拓误差对大地水准面精化的影响。  相似文献   

5.
美国海洋卫星测高仪的出现,使应用Hotine积分确定海洋大地水准面成为现实。本文通过对Hotine积分及垂线偏差的计算公式进行改进,较好地改善了求和项的收敛性,减小了截断误差影响,并提出了利用Hotine函数和重力异常确定海洋大地水准面的方法。 实际计算表明:海洋重力大地水准面的精度在1米以内;卫星测高大地水准面间存在0.5米系统差;它和海底地形有一定的相关性,能较好地反映出海底地形的宏观特性。  相似文献   

6.
邢志斌  李姗姗 《测绘学报》2018,47(5):575-583
基于重力场水平分量-垂线偏差对地形信息敏感的特点,根据边值理论由重力与地形数据确定格网垂线偏差模型,在此基础上,首先利用三维重力矢量-格网垂线偏差与格网重力异常,联合格网高程数据求得格网点间高程异常差,然后通过GPS/水准点的控制,构成紧密的几何条件,进行严密平差,从而获得高分辨率、高精度似大地水准面的数值模型。按照本文方法,利用我国6600多个GPS/水准点、1'×1'的格网垂线偏差、格网重力异常、格网高程数据,整体平差计算了我国陆海统一的似大地水准面模型,经GPS/水准点检核,全国似大地水准面的绝对精度达到了4 cm,相对精度优于7 cm。  相似文献   

7.
理论上,大地水准面上的重力位常数W0决定了大地水准面的形状及大小。源于大地水准面重力位W0的系统误差将直接导致大地水准面的漂移,如何精确确定W0一直是大地测量学家极为感兴趣的问题。本文基于虚拟压缩恢复法,提出了一种不同于传统的确定大地水准面重力位漂移δW的方法。  相似文献   

8.
随着GNSS、航空重力等技术的发展,扰动重力数据的获取变得越来越便捷。然而目前利用Hotine积分与扰动重力数据确定区域大地水准面的研究比较少。本文主要研究了Hotine积分中央区改正方法和Hotine积分核函数改进方法;利用改进的Hotine积分核函数结合扰动重力数据构建了区域大地水准面。实验表明,本文提出的中央区改正方法可以解决Hotine积分中央区奇异的问题;改进核函数的方法可以有效地削弱远区截断误差的影响并且可以提高数据的利用率。  相似文献   

9.
讨论了相对论意义下的重力位及大地水准面,指出了等时率大地水准面的缺陷,建议今后采用等频面及等频大地水准面的概念,给出了等频大地水准面与经典大地水准面的差异,同时给出了等频大地水准面的近似表达式。  相似文献   

10.
本文叙述了重力大地水准面的理论。文中采用应用高阶参考场而经改化的Stokes积分卷积方法,采用OSU86F为高阶参考场。除一理论阐述外,还展示了台湾地区的实际解算例子。  相似文献   

11.
When regional gravity data are used to compute a gravimetric geoid in conjunction with a geopotential model, it is sometimes implied that the terrestrial gravity data correct any erroneous wavelengths present in the geopotential model. This assertion is investigated. The propagation of errors from the low-frequency terrestrial gravity field into the geoid is derived for the spherical Stokes integral, the spheroidal Stokes integral and the Molodensky-modified spheroidal Stokes integral. It is shown that error-free terrestrial gravity data, if used in a spherical cap of limited extent, cannot completely correct the geopotential model. Using a standard norm, it is shown that the spheroidal and Molodensky-modified integration kernels offer a preferable approach. This is because they can filter out a large amount of the low-frequency errors expected to exist in terrestrial gravity anomalies and thus rely more on the low-frequency geopotential model, which currently offers the best source of this information. Received: 11 August 1997 / Accepted: 18 August 1998  相似文献   

12.
Truncated geoid and gravity inversion for one point-mass anomaly   总被引:1,自引:0,他引:1  
The truncated geoid, defined by the truncated Stokes' integral transform, an integral convolution of gravity anomalies with the Stokes' function on a spherical cap, is often used as a mathematical tool in geoid computations via Stokes' integral to overcome computational difficulties, particularly the need to integrate over the entire boundary spheroid. The objective of this paper is to demonstrate that the truncated geoid does, besides having mathematical applications, have physical interpretation, and thus may be used in gravity inversion. A very simple model of one point-mass anomaly is chosen and a method for inverting its synthetic gravity field with the use of the truncated geoid is presented. The method of inverting the synthetic field generated by one point-mass anomaly has become fundamental for the authors' inversion studies for sets of point-mass anomalies, which are published in a separate paper. More general applications are currently under investigation. Since an inversion technique for physically meaningful mass distributions based on the truncated geoid has not yet been developed, this work is not related to any of the existing gravity inversion techniques. The inversion for one point mass is based on the onset of the so-called dimple event, which occurs in the sequence of surfaces (or profiles) of the first derivative of the truncated geoid with respect to the truncation parameter (radius of the integration cap), its only free parameter. Computing the truncated geoid at various values of the truncation parameter may be understood as spatial filtering of surface gravity data, a type of weighted spherical windowing method. Studying the change of the truncated geoid represented by its first derivative may be understood as a data enhancement method. The instant of the dimple onset is practically independent of the mass of the point anomaly and linearly dependent on its depth. Received: 26 September 1996 /Accepted: 28 September 1998  相似文献   

13.
Minimization and estimation of geoid undulation errors   总被引:2,自引:1,他引:1  
The objective of this paper is to minimize the geoid undulation errors by focusing on the contribution of the global geopotential model and regional gravity anomalies, and to estimate the accuracy of the predicted gravimetric geoid.The geopotential model's contribution is improved by (a) tailoring it using the regional gravity anomalies and (b) introducing a weighting function to the geopotential coefficients. The tailoring and the weighting function reduced the difference (1) between the geopotential model and the GPS/levelling-derived geoid undulations in British Columbia by about 55% and more than 10%, respectively.Geoid undulations computed in an area of 40° by 120° by Stokes' integral with different kernel functions are analyzed. The use of the approximated kernels results in about 25 cm () and 190 cm (maximum) geoid errors. As compared with the geoid derived by GPS/levelling, the gravimetric geoid gives relative differences of about 0.3 to 1.4 ppm in flat areas, and 1 to 2.5 ppm in mountainous areas for distances of 30 to 200 km, while the absolute difference (1) is about 5 cm and 20 cm, respectively.A optimal Wiener filter is introduced for filtering of the gravity anomaly noise, and the performance is investigated by numerical examples. The internal accuracy of the gravimetric geoid is studied by propagating the errors of the gravity anomalies and the geopotential coefficients into the geoid undulations. Numerical computations indicate that the propagated geoid errors can reasonably reflect the differences between the gravimetric and GPS/levelling-derived geoid undulations in flat areas, such as Alberta, and is over optimistic in the Rocky Mountains of British Columbia.Paper presented at the IAG General Meeting, Beijing, China, August 8–13, 1993.  相似文献   

14.
为计算深圳精密重力大地水准面,利用62个高精度GPS水准点和4871个实测重力点数据对EGM96,WDM94和GPM98CR全球重力场模型表示深圳局部重力场进行了比较与评价。结果表明,由上述3个重力场模型计算的大地水准面高和重力异常与实测值之间存在明显的系统偏差,当采用GPS水准数据尽可能消除系统偏差以后,大地水准面高的精度得到显著提高,若应用移去-恢复技术确定深圳高精度大地水准面,则WDM94应该是首选的参考重力场模型。  相似文献   

15.
Many regions around the world require improved gravimetric data bases to support very accurate geoid modeling for the modernization of height systems using GPS. We present a simple yet effective method to assess gravity data requirements, particularly the necessary resolution, for a desired precision in geoid computation. The approach is based on simulating high-resolution gravimetry using a topography-correlated model that is adjusted to be consistent with an existing network of gravity data. Analysis of these adjusted, simulated data through Stokes’s integral indicates where existing gravity data must be supplemented by new surveys in order to achieve an acceptable level of omission error in the geoid undulation. The simulated model can equally be used to analyze commission error, as well as model error and data inconsistencies to a limited extent. The proposed method is applied to South Korea and shows clearly where existing gravity data are too scarce for precise geoid computation.  相似文献   

16.
The main objective of this study is to improve the geoid by GPS/leveling data in Egypt. Comparisons of the gravimetric geoid with GPS/leveling data have been performed. On the basis of a gravimetric geoid fitted to GPS/leveling by the least square method, a smoothed geoid was obtained. A high-resolution geoid in Egypt was computed with a 2.5′×2.5′ grid by combining the data set of 2600 original point gravity values, 20″×30″ resolution Digital Terrain Model (DTM) grid and the spherical harmonic model EGM96. The method of computation involved the strict evaluation of the Stokes integral with 1D-FFT. The standard deviation of the difference between the gravimetric and the GPS/leveling geoid heights is ±0.47 m. The standard deviation after fitting of the gravimetric geoid to the GPS/leveling points is better than ±13 cm. In the future we will try to improve our geoid results in Egypt by increasing the density of gravimetric coverage.  相似文献   

17.
蒋涛  党亚民  郭春喜  陈斌  章传银 《测绘学报》2022,51(8):1757-1767
2020珠峰高程测量,首次确定并发布了基于国际高程参考系统(IHRS)的珠峰正高。在珠峰地区实现国际高程参考系统,采用的方案是建立珠峰区域高精度重力大地水准面。利用地球重力场谱组合理论和基于数据驱动的谱权确定方法,测试优选参考重力场模型及其截断阶数和球冠积分半径等关键参数,联合航空和地面重力等数据建立了珠峰区域重力似大地水准面模型,61点高精度GNSS水准高程异常检核表明,模型精度达3.8 cm,加入航空重力数据后模型精度提升幅度达51.3%。提出顾及高差改正的峰顶高程异常内插方法,采用顾及地形质量影响的高程异常——大地水准面差距转换改正严密公式,使用峰顶实测地面重力数据,基于国际高程参考系统定义的重力位值W0和GRS80参考椭球,最终确定了国际高程参考系统中的高精度珠峰峰顶大地水准面差距。  相似文献   

18.
1 IntroductionDifferentgeoidsolutionswerecarriedoutforE gyptusingheterogeneousdataanddifferentmethodologies (El_Tokhey ,1 993) .ThemaingoalofthispaperistodetermineamostaccuratenewgeoidforEgypttakingadvantageofanewupdatedgravitydatabase,theinformationgivenby…  相似文献   

19.
R. Kiamehr 《Journal of Geodesy》2006,79(10-11):602-612
The computation of regional gravimetric geoid models with reasonable accuracy, in developing countries, with sparse data is a difficult task that needs great care. Here we investigate the procedure for gathering, evaluating and combining different data for the determination of a gravimetric geoid model for Iran, where limited ground gravity data are available. Heterogeneous data, including gravity anomalies, the high-resolution Shuttle Radar Topography Mission global digital terrain model and different global geopotential models including recently published Gravity Recovery and Climate Experiment models, are combined through least-squares modification of the Stokes formula. The new gravimetric geoid model, IRG04, agrees considerably better with GPS/levelling than any of the other recent local geoid model in the area. Its RMS fit with GPS/levelling is 0.27 m and 3.8 ppm in the absolute and relative view, respectively. The relative accuracy of IRG04 is four times better than the most recently published global and regional geoid models available in this area. This progress shows the practical potential of the method of least-squares modification of Stokes’s formula in combination with heterogeneous data for regional geoid determination  相似文献   

20.
Geoid determination using one-step integration   总被引:1,自引:1,他引:0  
P. Novák 《Journal of Geodesy》2003,77(3-4):193-206
A residual (high-frequency) gravimetric geoid is usually computed from geographically limited ground, sea and/or airborne gravimetric data. The mathematical model for its determination from ground gravity is based on the transformation of observed discrete values of gravity into gravity potential related to either the international ellipsoid or the geoid. The two reference surfaces are used depending on height information that accompanies ground gravity data: traditionally orthometric heights determined by geodetic levelling were used while GPS positioning nowadays allows for estimation of geodetic (ellipsoidal) heights. This transformation is usually performed in two steps: (1) observed values of gravity are downward continued to the ellipsoid or the geoid, and (2) gravity at the ellipsoid or the geoid is transformed into the corresponding potential. Each of these two steps represents the solution of one geodetic boundary-value problem of potential theory, namely the first and second or third problem. Thus two different geodetic boundary-value problems must be formulated and solved, which requires numerical evaluation of two surface integrals. In this contribution, a mathematical model in the form of a single Fredholm integral equation of the first kind is presented and numerically investigated. This model combines the solution of the first and second/third boundary-value problems and transforms ground gravity disturbances or anomalies into the harmonically downward continued disturbing potential at the ellipsoid or the geoid directly. Numerical tests show that the new approach offers an efficient and stable solution for the determination of the residual geoid from ground gravity data.  相似文献   

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