Abstract This work illustrates the performance of a focused algorithm for 2D inversion of potential field geophysics (gravity and magnetic) in regions with rugged topography. A non-structured model discretization mesh is performed through Delaunay triangular cells to accurately represent the rugged observation surface and recover complex-shaped sources. Several synthetic single and multi-source targets are simulated to evaluate the applicability of the focused algorithm for simultaneously preserving the edges, correct depth estimation and body distribution of the inverted models. The algorithm is written in such a way that it is able to improve the modeling result per iteration by imposing physical properties constraining (magnetic susceptibility or density contrast), depth weighting and focused term in the central system of linear equation. Whereby a preconditioned conjugate gradient scheme is used iteratively to solve efficiently the L2-norm cost function comprising of a data misfit norm and a model stabilizer. Potential field data pertaining to a real case study for iron-bearing targeting are also inverted along two profiles to investigate the geometry of the sought targets at the Shavaz deposit in Iran. Iron-oxide ore occurrence was approved by exploratory drilling indicating a shallow hematite target with minor compounds of magnetite. Of note is that the significant point of this study lies in accurate recovering of causative sources responsible for potential field anomaly when a severe undulating topography occurs.

中文翻译：

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通过 Delaunay 三角测量对势场地球物理数据进行有针对性和约束的 2D 反演，伊朗沙瓦兹矿床含铁目标的案例研究

摘要 这项工作说明了一种聚焦算法的性能，用于在具有崎岖地形的地区进行位场地球物理学（重力和磁力）的二维反演。通过 Delaunay 三角形单元执行非结构化模型离散化网格，以准确表示崎岖的观测表面并恢复形状复杂的源。模拟了几个合成的单源和多源目标，以评估聚焦算法在同时保留倒置模型的边缘、正确的深度估计和身体分布方面的适用性。该算法的编写方式使得它能够通过在线性方程的中心系统中施加物理属性约束（磁化率或密度对比度）、深度加权和聚焦项来改进每次迭代的建模结果。从而迭代地使用预处理的共轭梯度方案来有效地求解由数据错配范数和模型稳定器组成的 L2 范数成本函数。与含铁目标的真实案例研究相关的潜在现场数据也沿两个剖面反转，以研究伊朗 Shavaz 矿床寻找目标的几何形状。氧化铁矿的产地得到勘探钻井的批准，表明浅层赤铁矿目标含有少量磁铁矿化合物。值得注意的是，这项研究的重要意义在于，当发生严重的起伏地形时，准确恢复造成势场异常的原因。