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尖锐边界反演是大地电磁及其他地球物理反演中的一个较难解决的问题,目前有不少专家正对这方面进行研究.我们在分析了Zhdanov(2004)提出的基于最小支撑泛函聚焦反演方法的基础上,在目标函数中引入对角梯度支撑以改善倾斜电性分界面的反演效果.同时,为了提高计算效率,本文还使用互易定义计算灵敏度矩阵及使用正则化共轭梯度法优化目标函数.通过模型试验并与未引入对角梯度支撑的反演结果进行了比较,表明本文的方法反演效果更好而且算法稳定和实用.
Sharp boundary inversion is one of the most difficult problems to be solved in the magnetotelluric and other geophysical inversion.At present, many experts are studying this aspect.In the paper, we analyze the principle of MFD proposed by Zhdanov (2004) Based on the inversion method, the diagonal gradient support is introduced into the objective function to improve the inversion effect of the tilted electrical interface.At the same time, in order to improve the computational efficiency, we also use the reciprocity definition to calculate the sensitivity matrix and use the regularization conjugate Gradient method to optimize the objective function.Compared with the inversion results without the introduction of diagonal gradient support by the model test, the inversion results show that the proposed method is better and the algorithm is stable and practical.