Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation

Petr Martyshko, Igor Ladovskii and Denis Byzov
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Petr Martyshko: Bulashevich Institute of Geophysics, Ural Branch of Russian Academy of Science, Amundsena 100-305, 620016 Ekaterinburg, Russia
Igor Ladovskii: Bulashevich Institute of Geophysics, Ural Branch of Russian Academy of Science, Amundsena 100-305, 620016 Ekaterinburg, Russia
Denis Byzov: Bulashevich Institute of Geophysics, Ural Branch of Russian Academy of Science, Amundsena 100-305, 620016 Ekaterinburg, Russia

Mathematics, 2021, vol. 9, issue 22, 1-19

Abstract: The paper describes a method of gravity data inversion, which is based on parallel algorithms. The choice of the density model of the initial approximation and the set on which the solution is sought guarantees the stability of the algorithms. We offer a new upward and downward continuation algorithm for separating the effects of shallow and deep sources. Using separated field of layers, the density distribution is restored in a form of 3D grid. We use the iterative parallel algorithms for the downward continuation and restoration of the density values (by solving the inverse linear gravity problem). The algorithms are based on the ideas of local minimization; they do not require a nonlinear minimization; they are easier to implement and have better stability. We also suggest an optimization of the gravity field calculation, which speeds up the inversion. A practical example of interpretation is presented for the gravity data of the Urals region, Russia.

Keywords: linear inverse gravity problem; depth-separated anomalies; Earth’s crust density (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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