基于多尺度边缘约束的重力场信号的向下延拓

Downward continuation of gravity signals based on the multiscale edge constraint

利用多尺度边缘检测理论 ,研究改善重力场信号向下延拓稳定性的新方法 .简要介绍了小波多尺度边缘检测的基本原理 ,以EGM96重力场模型为例分析了地球重力场的多尺度边缘 .提出了基于多尺度边缘约束的向下延拓方法 ,并给出了模拟算例 .计算结果表明 ,利用多尺度边缘约束改善向下延拓的稳定性是可行的 ,在观测值信噪比较差的情况下该方法的效果尤为明显 .

A new method to stabilize downward continuation of gravity signals is studied in this paper. The principle of multiscale edge detection by wavelets is presented firstly, and the multiscale edges of the earth's gravity field are analyzed with the EGM96 model as an example. Based on the constraint of the multiscale edge, a method for the downward continuation is proposed and a simulation example is given. The result indicates that it is feasible to enhance the stability of downward continuation using the multiscale edge as a constraint. This method has a better effect in the case when the signal-to-noise ratio of observations is low.