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The EG-DFF Method for Fast Inversion of Potential Field Data with Non-structured Tetrahedral Mesh

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING(2025)

Jilin Univ

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Abstract
The inversion of potential field data dispersed by nonstructured tetrahedron mesh is better applied for undulating terrain area, but it has a poor computational efficiency owing to the irregular distribution of the nodes of the mesh, which makes it challenging to potential field data fine inversion over a large area. We propose an equivalent geometric-discrete function fitting (EG-DFF) method for the fast inversion of potential field data with nonstructured tetrahedral mesh, and we prove that this mesh yields equivalent property of adjacent surface, which is used to accelerate the calculation of kernel function. The efficiency of inversion solution is improved by using a discrete function to fit the physical parameters of the grid cells to reduce the number of solution parameters. The test results showed that the EG-DFF method did not lose the inversion when 500 mesh cells are fit with a third-order function and 200 mesh cells are fit with a second-order function and can improve the computational efficiency by more than four times and reducing memory consumption by eight times compared to the traditional method. The proposed method also exhibited good resistance to noise. We applied the EG-DFF method to airborne gravity and magnetic data to analyze the origin mechanism of Kirin Lake, which is located in the subglacial rift valley of Princess Elizabeth Land. The density and magnetization structure showed that the upwelling of the mantle with the action of the rift accounted for the formation of Kirin Lake.
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Key words
Lakes,Kernel,Computational efficiency,Surface topography,Vectors,Geology,Fitting,Faces,Three-dimensional displays,Sensitivity,Fast inversion,Kirin Lake,nonstructured tetrahedral mesh,potential field
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要点】:本文提出了一种EG-DFF方法,通过等效几何-离散函数拟合,提高非结构化四面体网格下潜在场数据快速反演的计算效率。

方法】:利用等效几何特性加速核函数计算,并采用离散函数拟合网格单元的物理参数,减少解算参数数量,从而提升反演效率。

实验】:通过测试,EG-DFF方法在500个网格单元拟合三阶函数、200个网格单元拟合二阶函数的情况下,不仅保持了反演效果,而且提高了计算效率超过四倍,降低了内存消耗八倍。该方法还应用于分析Kirin湖的成因,使用的是航空重力与磁力数据。