用FFT计算川西地区的高程异常

The Height Anomaly Computation for West Sichuan Province Using FFT

  • 摘要: 川西地区地势复杂,进行常规测绘工作很艰难。若采用GPS作为1:5万航测图的控制,既可以减轻大地测量工作的困难,也有很好的经济效益。但在高程方面,必须将GPS测定的大地高转换为正常高。如此需有高分辨率的似大地水准面。本文用平面近似的Stokes公式,并顾及Molodensky-阶项,用FFT计算了Δφ=14°Δλ=12°川西地区5'×5'的似大地水准面,结果与该区的天文重力水准及GPS水准比较,精度约为±1米,并认为顾及剩余重力异常较单纯用位系数模型的结果精度高20%。此外,还认为用0.5'×0.5'的DTM,再顾及Molodensky-阶项,精度还可提高20%。

     

    Abstract: Because of the rugged topography in the west Sichuan province, it is very difficult to carry out the conventional surveying there. If the GPS technique is used to provide the control of photography. the geodetic field work will be much easier and more economical. But the GPS given ellipsoidal heights must be converted to normal heights. So a quasi-geoid with high resolution is needed in this area. In this paper, a 5'×5' gridded quasi-geoid has been computed over a 14°×12årea in west Sichuan by using FFT method which employed the planar-approximated Stokes integral. The Molodensky first-oder approximate term has been also considered in the computation. Comparing the results with some astrogravimetric levelling and GPS levelling, We found that they are about 1 meter in accuracy. Furthermore, the study shows that the results including the contribution of residual gravity anomalies are 20 percent more accurate than geopotantial model only derived quasi-geoid and another 20 percent improvement can be obtained by considering the Molodensky first-oder approximate term using a 0.5'×0.5' DTM.

     

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