由地面重力数据确定扰动位径向二阶梯度

Determination of the 2nd Radial Gradient of Disturbing Potential Using Terrestrial Gravity Data

  • 摘要: 提出利用地面重力异常数据计算地面扰动位径向二阶梯度,将该梯度的积分表达式转换为卷积形式的谱表达式,便于应用FFT/FHT技术进行快速计算。这一将地面重力异常化为重力梯度的实用算法为将卫星重力梯度和航空重力梯度观测数据与地面重力数据的联合处理提供了一种有效途径。最后,以本文导出的数学模型为基础,给出了模型(WDM94)数据的试算结果并作了分析。

     

    Abstract: This paper presents a computation procedure of the 2nd radial gradient of disturbing potential from terrestrial gravity anomaly data.In order to use FFT/FHT techniques for fast computation,the integrating expresion of the radial gradient has been transformed into the corresponding convolution one.The practical algorithm for computing the radial gradient from terrestrial gravity anomalies will give an efficient approach to the combination of terrestrial gravity data with the data of satellite and airborne gravity gradiometry.Finally,the results of a numerical example with the data derived from a gravity potential model WDM94 have been given and analyzed to demonstrate the proposed mathematical model and algorithm.

     

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