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Generalisation and improvement of the compact gravity inversion method

机译:紧凑型重力反演方法的概括与改进

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Compact gravity inversion (CGI) is widely used to invert gravity data following the principle of minimising the volume of the causative body due to its simplicity, high efficiency, and sharp-boundary inversion results. In this study, the compactness weighting function is generalised and the depth weighting function is introduced to CGI to obtain the reweighted CGI (RCGI) method. Although RCGI exhibits better flexibility than CGI, selecting an appropriate compactness factor and depth weighting function is difficult, and we design a parameter selection rule to search the proper $$lpha$$ and $$eta$$ quantitively. Furthermore, we improve RCGI for boasting superior computational efficiency by gradually eliminating the model blocks that reach the designated boundaries in the iterative algorithm of inversion. This approach is termed the reweighted and element-elimination CGI (REECGI) method. The inversion results show that both RCGI and REECGI result in better inversion accuracy than CGI, and REECGI has higher computational efficiency than RCGI and CGI, which increases with the number of iterations.
机译:紧凑的重力反转(CGI)广泛用于倒置重力数据,以便最小化致病机构的体积,由于其简单性,高效率和尖锐的边界反演结果。在该研究中,致密度加权函数是广义的,并将深度加权函数引入CGI以获得重量的CGI(RCGI)方法。虽然RCGI表现出比CGI更好的灵活性,但选择适当的紧凑性因子和深度加权函数很难,并且我们设计一个参数选择规则,以定量搜索正确的$$ alpha $$和$$ beta $$。此外,我们通过逐渐消除迭代反转算法中达到指定边界的模型块来提高RCGI,以促进卓越的计算效率。这种方法被称为重量和元素消除CGI(REECGI)方法。反演结果表明,RCGI和REECGI均具有比CGI更好的反转精度,并且REECGI具有比RCGI和CGI更高的计算效率,从而随着迭代的数量而增加。

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