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1.
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   

2.
本文利用环鄱阳湖GPS/水准成果,重点研究了以江西省似大地水准面精化模型为平台、应用移去~恢复技术确定鄱阳湖湖区似大地水准面的方法,并对鄱阳湖湖区似大地水准面的模型和江西省似大地水准面的模型做了比较和分析。  相似文献   

3.
本文论述了确定大地水准面的意义,详细分析了确定大地水准面所需数据及其分辨率要求。大地水准面的中、低频成分的改进主要依靠卫星大地测量技术,但局部高频成分需要综合利用GPS、重力、水准和地形数据,因而大地水准面的精度是大地测量理论和技术的综合体现。文中以大量数据分析和试验计算论证了我国大地水准面的近期精化目标及实现这一目标的技术途径。  相似文献   

4.
用神经网络方法确定测区似大地水准面   总被引:3,自引:0,他引:3  
杨明清  靳蕃 《四川测绘》1999,22(1):14-20
本文提出一种用神经网络确定测区似大地水准面的方法,并给出了相应的神经网络结构和算法。研究了一个测区中用该方法确定的似大地水准面的精度,结果表明用该方法确定的似大地水准面的精度为厘米级,并与二次多项式曲面拟合似大地水准面的方法作了比较,神经网络方法的精度较优。  相似文献   

5.
介绍了EGM2008或GPS水准拟合确定似大地水准面的各自优缺点,采用移去—恢复法思想,并基于EGM2008与GPS/水准点实现了区域似大地水准面精化,提出了利用Arc GIS建立区域似大地水准面的具体做法,最后通过某带状区域数据,实现了该区域精化似大地水准面的建立,并进行了精度分析,得到了较高的外符合精度。  相似文献   

6.
本文概述了确定大地水准面的一般方法,并指出精化山西区域的大地水准面现阶段应该采用GPS水准方法,然后从理论上分析了大地水准面精度.地表地形.GPS水准点问距三者之间的关系最后还论述了大地水准面的成果形成以及如何进行质量控制本文听述的GPS水准方法.用于确定高程异常时,与确定大地水准为差距是相同的。  相似文献   

7.
罗天文  覃锋 《测绘科学》2011,36(3):91-94
本文在分析大地水准面精化的目的意义及其发展现状的前提下,阐述了确定(似)大地水准面的原理,并针对贵州山区重力资料缺乏的现实情况,探讨了确定和精化山区局部区域大地水准面的方法;尤其对在贵州山区局部区域范围运用CPS水准资料结合地球重力场模型EGM96,拟合区域大地水准面的方法进行了详细的分析和讨论.通过运用原理和方法对实...  相似文献   

8.
080201确定全球厘米级精度大地水准面的可能性和方法探讨/晁定波(武汉大学)…//测绘学报.-2007,36(4).-370~376阐述了确定厘米级精度大地水准面所面临的挑战,评述了各种大地水准面的定义,提出了一种确定1°×1°厘米级精度全球大地水准面的新思路和新方法,论证了其可能性和条件  相似文献   

9.
顾及到大地水准面的物理特性,依据其在局部所应满足的数学物理方程,讨论了有限元法逼近局域大地水准面的数学思想,给出了相应的数学模型.  相似文献   

10.
论大地水准面   总被引:2,自引:0,他引:2  
经典大地水准面被定义为等重力位水准面 ,它在海洋中重合于假想的静止海水面 ,而后者通常又由平均海水面来代替。然而 ,平均海水面并非重力等位面 ,如果精度要求高于 1m ,则上述经典定义不再适用。近代大地水准面被定义为最接近于平均海水面的重力等位面 ,但关键问题是如何确定这种大地水准面。为实现这一目标 ,不仅需要确定大地水准面的形状 ,而且需要确定大地位常数W0 。探讨了几种主要的大地水准面的定义及其相关的确定大地水准面的问题 ,并建议了一种新的大地水准面的定义  相似文献   

11.
The vertical component obtained from the Global Positioning System (GPS) observations is from the ellipsoid (a mathematical surface), and therefore needs to be converted to the orthometric height, which is from the geoid (represented by the mean sea level). The common practice is to use existing bench marks (around the four corners of a project area and interpolate for the rest of the area), but in many areas bench marks may not be available, in which case an existing geoid undulation is used. Present available global geoid undulation values are not generally as detailed as needed, and in many areas they are not known better than ±1 to ±5 m, because of many limitations. This article explains the difficulties encountered in obtaining precise geoid undulation with some example computations, and proposes a technique of applying corrections to the best available global geoid undulations using detailed free-air gravity anomalies (within a 2° × 2° area) to get relative centimeter accuracy. Several test computations have been performed to decide the optimal block sizes and the effective spherical distances to compute the regional and the local effects of gravity anomalies on geoid undulations by using the Stokes integral. In one test computation a 2° × 2° area was subdivided into smaller surface elements. A difference of 37.34 ± 1.6 cm in geoid undulation was obtained over the same 2° × 2° area when 1° × 1° block sizes were replaced by a combination of 5' × 5' and 1' × 1' subdivision integration elements (block sizes).  相似文献   

12.
魏双保 《北京测绘》2020,(5):710-713
由于古巴国家没有现成可用的大地水准面模型,需要引进通用大地水准面模型或自建似大地水准面模型,以满足高程测量要求。针对这个问题,本文一方面积极制定似大地水准面建模方案设计,根据探区内水准点和项目测量设备的配备情况,拟采用GPS水准法自建似大地水准面模型;另一方面两个全球大地水准面模型OSU91A和DMA 10×10及一个加勒比区域大地水准面模型CALIB97被引用到探区,通过对探区内有代表性的高精度水准点进行GNSS观测验证,最终确定全球大地水准面模型OSU91A为适合探区、满足项目合同要求的通用大地水准面模型,从而解决了生产中的技术问题。  相似文献   

13.
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   

14.
从最小二乘配置方法的基本原理出发,以我国某地区范围内1km分辨率的大地水准面高模型数据为例,根据实用公式计算了试验区大地水准面高的协方差值后,采用多项式函数模型和高斯函数模型分别拟合了该地区大地水准面高的局部协方差函数,并对试验区内18个检核点做了推估计算。根据推估值(Nfit)与实测值(NGPSL)的比较分析表明,虽然多项式协方差函数模型略优于高斯协方差函数模型,但它们都能以厘米级的精度拟合局部大地水准面,这表明了配置法用于精化厘米级大地水准面的有效性。  相似文献   

15.
在局部区域似大地水准面的确定中,应用数学模型来求取高程异常,是工程中常用的方法。对正双曲面、倒双曲面、三次曲面三种不同核函数的多面函数拟合法最佳光滑因子的选取问题进行了比较研究。通过对地形复杂矿区工程实例分析,表明了三种方法在地形较复杂区域似大地水准面确定中的可行性。  相似文献   

16.
In regional gravimetric geoid determination, it is customary to use the modified Stokes formula that combines local terrestrial data with a global geopotential model. This study compares two deterministic and three stochastic modification methods for computing a regional geoid over the Baltic countries. The final selection of the best modification method is made by means of two accuracy estimates: the expected global mean square error of the geoid estimator, and the statistics of the post-fit residuals between the computed geoid models and precise GPS-levelling data. Numerical results show that the modification methods tested do not provide substantially different results, although the stochastic approaches appear formally better in the selected study area. The 2.8–5.3 cm (RMS) post-fit residuals to the GPS-levelling points indicate the suitability of the new geoid model for many practical applications. Moreover, the numerical comparisons reveal a one-dimensional offset between the regional vertical datum and the geoid models based upon the new GRACE-only geopotential model GGM01s. This gives an impression of a greater reliability of the new model compared to the earlier, EGM96-based and somewhat tilted regional geoid models for the same study area.  相似文献   

17.
高精度局域大地水准面对布测GPS水准和重力的要求   总被引:35,自引:1,他引:35  
陈俊勇 《测绘学报》2001,30(3):189-191
给定局域(似)大地水准面所要求的精度后,对该局域中应该布测GPS水准网的密度和精度进行了研究,并对不同地形类型的载我中,重力扰动对该局域(似)大地水准面精度的影响进行了讨论,并提出了相应布测量密度的要求。  相似文献   

18.
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   

19.
建立高分辨率、高精度的区域似大地水准面已成为信息化测绘体系建设、数字城市建设所必需的基本条件,尤其在地形图测绘、海洋调查等方面,对厘米级似大地水准面的需求十分迫切。本文基于新理论计算方法、重力场模型和融合技术建立高精度海域似大地水准面模型,厘米级的海域似大地水准面模型的建立对沿海地区快速获取高程信息很有意义,弥补了海域的空白。   相似文献   

20.
似大地水准面的构建可以将GPS测量的高程迅速转化为正常高,极大降低高程测量的成本,提高相关工作效率。将EGM96/2008重力场模型与“移去-恢复”法相结合,在矿区内建立似大地水准面,并使用不同的插值方法,验证最优方案。结果表明,使用二次线性插值的EGM2008重力场模型拟合效果更好,模型外符合精度达到3.6 mm,更适合应用于该区域似大地水准面构建。  相似文献   

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