The relationship between gravity and bathymetry in the Pacific Ocean

Summary. Surface-ship and satellite derived data have been compiled in new free-air gravity anomaly, bathymetry and geoid anomaly maps of the Pacific Ocean basin and its margin. The maps are based on smoothed values of the gravity anomaly, bathymetry and geoid interpolated on to a 90 × 90 km grid. Each smoothed value was obtained by Gaussian filtering measurements along individual ship and subsatellite tracks. The resulting maps resolve features in the gravity, bathymetry and geoid with wavelengths that range from a few hundred to a few thousand kilometres. The smoothed values of bathymetry and geoid anomaly have been corrected for age. The resulting maps show the Pacific ocean basin is associated with a number of ENE–WSW-trending geoid anomaly highs with amplitudes of about ± 5 m and wavelengths of about 3000 km. The most prominent of these highs correlate with the Magellan seamounts–Marshall Gilbert Islands–Magellan rise and the Hess rise–Hawaiian ridge regions. The correlation between geoid anomaly and bathymetry cannot be explained by models of static compensation, but is consistent with a model in which the geoid anomaly and bathymetry are supported by some form of dynamic compensation. We suggest that the dynamic compensation, which characterizes oceanic lithosphere older than 80 Myr, is the result of mantle convection on scales that are smaller than the lithospheric plates themselves.     

改进的GNSS水准地球重力场模型评价

利用GNSS水准进行地球重力场模型精度评价是一种常用的外符合精度评价方法。针对GNSS水准与模型大地水准面高常存在较大的偏差,且常用的数学拟合方法会掩盖造成系统偏差的因素这一问题,该文分析了GNSS测量大地高的时变影响、全球大地水准面与水准测量起算面之间的区域性基准差,同时提出了顾及时变影响的GNSS水准地球重力场模型评价方法。     

模拟大地水准面应用于GPS水准内插的研究

采用移去 恢复技术和多面函数法对已知GPS水准数据进行了内插处理。试验结果表明,利用实际地球物理资料得到的模拟大地水准面精度最高     

大地水准面数值计算及结构分析

针对大地水准面精化问题,该文提出了基于大地水准面起伏几何性质构建精确大地水准面的方法。相对传统方法根据经验公式设计精化大地水准面分辨率,该文提出了一种顾及区域性特点的大地水准面分辨率设计方法,推导了构建厘米级大地水准面需要达到的空间分辨率计算公式。采用Alltrans EGM2008Calculator 1.00软件计算不同区域的大地水准面高程,并用坡度方法分析大地水准面的精细结构。最后以江西省大地水准面起伏为基础,采用该方法进行计算。结果表明:构建厘米级大地水准面需要达到的空间分辨率为7″,可为大地水准面精化研究提供参考。     

数字城市中大地水准面的功能与精化技术

由于数字城市可将城市上每一点的各种属性和信息进行有机组织,所以在信息化时代其重要性不言而喻。而大地水准面作为每一点高程的起算面,是数字城市能够准确提供基于地球空间坐标或城市空间坐标信息的保障,在一些应用领域由于需要知道点的海拔高也需要高精度大地水准面的支持。所以,就大地水准面在数字城市中提供高程基准的功能以及精化技术进行了深入的分析研究。介绍了典型的应用实例,并对构建数字城市的过程中有关大地水准面的精化提出了建议。     

Long Distance Transference of Height Daum Across Seas

This paper focuses on studying long distance transference of height datum across seas by combining ellipsoidal height derived from GPS with gravimetric geoid height.The Yellow Sea Height Datum is transferred to Yangshan Island which is 30 km away from Luchaogang in Shanghai.The stations heights derived in this way are compared with those determined from two independent sets of the tidal observations taken in two years,and the difference values are 1.0 cm and 6.0 cm,respectively.Moreover,the derived height differences between two sections on the island are also compared with the values derived from precise leveling with respect to the same section.The result shows that the inconsistencies are only 0.2 cm and 0.7 cm,respectively.     

我国现代高程测定关键技术若干问题的研究及进展

阐述了大地水准面在大地测量学及相关地球科学中的科学意义、作用及其应用,提出了利用GPS技术结合高精度似大地水准面代替我国高程测定的思路,分析了目前地球重力场长波、中波和短波在计算cm级大地水准面中具备的条件,论述了确定1 cm精度城市和5 cm省级似大地水准面的若干关键技术问题及其必要性和可行性,提出了我国cm级大地水准面确定中需解决的主要理论问题和若干关键技术,评述了我国局部大地水准面的主要进展和取得的成果。     

Robust estimation and optimal selection of polynomial parameters for the interpolation of GPS geoid heights

The polynomial interpolation of least squares and interpolation moving least squares based on control stations with known GPS (global positioning system) ellipsoidal heights and levelling orthometric heights are the most often used methods for the interpolation of the geoid heights. But in their applications there occur two problems: one lies in selecting the suitable polynomial parameters; the other in reducing the influences of some possibly abnormal data points. To solve both of the problems, without emphasizing a sound theoretical basis, a heuristic solution with the help of robust estimation technique and optimization criteria for the regression equation is presented. Through two actual numerical examples it is shown that the new solution concept is efficient and can be realized easily on computers. Received: 23 May 1996 / Accepted: 27 March 1997     

《区域大地水准面精化外业作业指导书》的编制

对《区域大地水准面精化外业作业指导书》编制情况做了介绍,阐述了外业作业的流程、方法、内容、技术要求等,有利于规范区域大地水准面精化外业生产,有助于提高产品质量。     

Geoid determination using one-step integration

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.