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

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 algorith...

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Autores principales:	Petr Martyshko, Igor Ladovskii, Denis Byzov
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	linear inverse gravity problem depth-separated anomalies Earth’s crust density Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/cf9cc97059324d01984a266d4f5af4c9
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id	oai:doaj.org-article:cf9cc97059324d01984a266d4f5af4c9
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spelling	oai:doaj.org-article:cf9cc97059324d01984a266d4f5af4c92021-11-25T18:17:38ZParallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation10.3390/math92229662227-7390https://doaj.org/article/cf9cc97059324d01984a266d4f5af4c92021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2966https://doaj.org/toc/2227-7390The 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.Petr MartyshkoIgor LadovskiiDenis ByzovMDPI AGarticlelinear inverse gravity problemdepth-separated anomaliesEarth’s crust densityMathematicsQA1-939ENMathematics, Vol 9, Iss 2966, p 2966 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	linear inverse gravity problem depth-separated anomalies Earth’s crust density Mathematics QA1-939
spellingShingle	linear inverse gravity problem depth-separated anomalies Earth’s crust density Mathematics QA1-939 Petr Martyshko Igor Ladovskii Denis Byzov Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation
description	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.
format	article
author	Petr Martyshko Igor Ladovskii Denis Byzov
author_facet	Petr Martyshko Igor Ladovskii Denis Byzov
author_sort	Petr Martyshko
title	Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation
title_short	Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation
title_full	Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation
title_fullStr	Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation
title_full_unstemmed	Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation
title_sort	parallel algorithms for solving inverse gravimetry problems: application for earth’s crust density models creation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/cf9cc97059324d01984a266d4f5af4c9
work_keys_str_mv	AT petrmartyshko parallelalgorithmsforsolvinginversegravimetryproblemsapplicationforearthscrustdensitymodelscreation AT igorladovskii parallelalgorithmsforsolvinginversegravimetryproblemsapplicationforearthscrustdensitymodelscreation AT denisbyzov parallelalgorithmsforsolvinginversegravimetryproblemsapplicationforearthscrustdensitymodelscreation
_version_	1718411406557052928

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

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