The practical application of 3D inversion of gravity data requires a lot of computation time and storage space. To solve this problem, we present an integrated optimization algorithm with the following components: (1) targeting high accuracy in the space domain and fast computation in the wavenumber domain, we design a fast 3D forward algorithm with high precision; and (2) taking advantage of the symmetry of the inversion matrix, the main calculation in gravity conjugate gradient inversion is decomposed into two forward calculations, thus optimizing the computational efficiency of 3D gravity inversion. We verify the calculation accuracy and efficiency of the optimization algorithm by testing various grid-number models through numerical simulation experiments.

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快速3D重力反演的优化算法

重力数据3D反演的实际应用需要大量的计算时间和存储空间。为了解决这个问题，我们提出了一种集成优化算法，该算法包括以下部分：（1）针对空间域的高精度和波数域的快速计算，设计了一种高精度的快速3D正向算法；（2）利用反演矩阵的对称性，将重力共轭梯度反演的主要计算分解为两个正演，从而优化了3D重力反演的计算效率。通过数值模拟实验测试各种网格数模型，验证了优化算法的计算精度和效率。