In gravity gradient inversion, to choose an appropriate component combination is very important, that needs to understand the function of each component of gravity gradient in the inversion. In this paper, based on the previous research on the characteristics of gravity gradient components, we propose a reweighted inversion method to evaluate the influence of single gravity gradient component on the inversion resolution The proposed method only adopts the misfit function of the regularized equation and introduce a depth weighting function to overcome skin effect produced in gravity gradient inversion. A comparison between different inversion results was undertaken to verify the influence of the depth weighting function on the inversion result resolution. To avoid the premise of introducing prior information, we select the depth weighting function based on the sensitivity matrix. The inversion results using the single-prism model and the complex model show that the influence of different components on the resolution of inversion results is different in different directions, however, the inversion results based on two kind of models with adding different levels of random noise are basically consistent with the results of inversion without noises. Finally, the method was applied to real data from the Vinton salt dome, Louisiana, USA.

中文翻译：

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基于重加权反演方法的重力梯度分量评估

在重力梯度反演中，选择合适的分量组合非常重要，这需要了解重力梯度中每个分量在反演中的作用。本文在先前对重力梯度分量特征研究的基础上，提出了一种重新加权的反演方法，以评估单个重力梯度分量对反演分辨率的影响。该方法仅采用正则方程的失配函数并引入深度加权功能可以克服重力梯度反演中产生的集肤效应。进行了不同反演结果之间的比较，以验证深度加权函数对反演结果分辨率的影响。为了避免引入先验信息的前提，我们根据灵敏度矩阵选择深度加权函数。使用单棱镜模型和复杂模型进行的反演结果表明，不同分量对反演结果分辨率的影响在不同方向上是不同的，但是，基于两种模型的反演结果会添加不同级别的随机噪声基本上与无噪声的反演结果一致。最后，将该方法应用于来自美国路易斯安那州温顿盐丘的真实数据。基于两种不同噪声模型的反演结果与无噪声反演结果基本一致。最后，将该方法应用于来自美国路易斯安那州温顿盐丘的真实数据。基于两种不同噪声模型的反演结果与无噪声反演结果基本一致。最后，将该方法应用于来自美国路易斯安那州温顿盐丘的真实数据。