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Geosciences 2018, 8(10), 373;

Gravity Data Inversion with Method of Local Corrections for Finite Elements Models

Institute of Geophysics, Ural Branch of Russian Academy of Science, Amundsena 100-305, 620016 Ekaterinburg, Russia
Author to whom correspondence should be addressed.
Received: 3 August 2018 / Revised: 3 October 2018 / Accepted: 3 October 2018 / Published: 10 October 2018
(This article belongs to the Special Issue Numerical Methods of Geophysical Fields Inversion)
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We present a new method for gravity data inversion for the linear problem (reconstruction of density distribution by given gravity field). This is an iteration algorithm based on the ideas of local minimization (also known as local corrections method). Unlike the gradient methods, it does not require a nonlinear minimization, is easier to implement and has better stability. The algorithm is based on the finite element method. The finite element approach in our study means that the medium (part of a lithosphere) is represented as a set of equal rectangular prisms, each with constant density. We also suggest a time-efficient optimization, which speeds up the inversion process. This optimization is applied on the gravity field calculation stage, which is a part of every inversion iteration. Its idea is to replace multiple calculations of the gravity field for all finite elements in all observation points with a pre-calculated set of uniform fields for all distances between finite element and observation point, which is possible for the current data set. Method is demonstrated on synthetic data and real-world cases. The case study area is located on the Timan-Pechora plate. This region is one of the promising oil- and gas-producing areas in Russia. Note that in this case we create a 3D density model using joint interpretation of seismic and gravity data. View Full-Text
Keywords: inverse problem; 3D density model; joint interpretation inverse problem; 3D density model; joint interpretation

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Martyshko, P.S.; Ladovskii, I.V.; Byzov, D.D.; Tsidaev, A.G. Gravity Data Inversion with Method of Local Corrections for Finite Elements Models. Geosciences 2018, 8, 373.

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