Abstract
The approximation of discretely given gravity values by the grid distribution of equivalent sources is successfully used in the analysis of gravity data. An approximation method is presented that takes into account the spherical shape of the Earth. Distinctive features of the method: the size of the area is at least 10,000 sq. km, research scale 1: 200,000 and less, the geographic coordinate system of the field measurement points is used, the Kavraisky model is used to switch from geographic (ellipsoidal) coordinates to spherical ones. Determination of the masses of equivalent sources is carried out by an approximate solution of a system of linear algebraic equations. Seidel iterative methods, relaxation and steepest gradient descent are used. Algorithmic software has been developed, the results of its application for the transformation of the gravitational field in the Bouguer reduction on the territory of the Perm krai are presented. The advantages of the method are high accuracy of transformations of digital models of the gravitational field, taking into account differences in the heights of measurement points, suppression of the inharmonic component (noise), the ability to simultaneously perform 3D interpolation and data transformation.
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This work was supported by the Russian Foundation for Basic Research (grant 19-05-00654-A).
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Dolgal, A.S. (2022). Approximation of Regional Gravity Anomalies by Equivalent Sources (on the Example of the Perm Krai). In: Rocha, A., Isaeva, E. (eds) Science and Global Challenges of the 21st Century - Science and Technology. Perm Forum 2021. Lecture Notes in Networks and Systems, vol 342. Springer, Cham. https://doi.org/10.1007/978-3-030-89477-1_22
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DOI: https://doi.org/10.1007/978-3-030-89477-1_22
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