Gravity inversion method using L0-norm constraint with auto-adaptive regularization and combined stopping criteria
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Published:2023-02-03
Issue:2
Volume:14
Page:101-117
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ISSN:1869-9529
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Container-title:Solid Earth
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language:en
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Short-container-title:Solid Earth
Author:
Gebre Mesay Geletu, Lewi EliasORCID
Abstract
Abstract. We present a gravity inversion method that can produce compact and sharp images
to assist the modeling of non-smooth geologic features.
The proposed iterative inversion approach makes use of L0-norm-stabilizing functional,
hard and physical parameter inequality constraints and a depth-weighting function.
The method incorporates an auto-adaptive regularization technique, which automatically
determines a suitable regularization parameter and error-weighting function that helps to
improve both the stability and convergence of the method.
The auto-adaptive regularization and error-weighting matrix are not dependent on the known noise level.
Because of that, the method yields reasonable results even if the noise level of the data is
not known properly. The utilization of an effectively combined stopping rule to terminate the inversion process is another
improvement that is introduced in this work. The capacity and the efficiency of the new inversion method were
tested by inverting randomly chosen synthetic and measured data. The synthetic test models consist of multiple
causative blocky bodies, with different geometries and density distributions that are vertically and horizontally
distributed adjacent to each other. Inversion results of the synthetic data show that the developed method can
recover models that adequately match the real geometry, location and densities of the synthetic causative bodies.
Furthermore, the testing of the improved approach using published real gravity data confirmed the potential and
practicality of the method in producing compact and sharp inverse images of the subsurface.
Publisher
Copernicus GmbH
Subject
Paleontology,Stratigraphy,Earth-Surface Processes,Geochemistry and Petrology,Geology,Geophysics,Soil Science
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