A level set method for shape reconstruction in seismic full waveform inversion using a linear elastic model in 2D

Wu, Yifan; Dorn, Oliver

doi:10.1088/1742-6596/1131/1/012001

Cited by 4 publications

(4 citation statements)

References 7 publications

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“…In turn, along the lines originally proposed by Yamada et al (2010) for structural topology optimization, Lanznaster et al (2020) used the LS and an updating procedure based on the reaction-diffusion equation in order to solve the FWI problem. One of the most common approaches for salt body reconstruction problems uses radial basis functions (RBFs) to define a parametric representation of the LS function (Aghasi et al 2011, Kadu et al 2017a, 2017bWu and Dorn 2018, Dahlke et al 2020. Huang et al (2015) apply the level-set method to locate layer interfaces in geothermal reservoirs through shape optimization.…”

Section: Introductionmentioning

confidence: 99%

A single level set function approach for multiple material-phases applied to full-waveform inversion in the time domain

de Castro,

Silva,

Fancello

2024

Inverse Problems

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This paper presents a multiple material-phase level-set approach for acoustic full-waveform inversion in the time domain. By using a single level set function, several level values are used to define virtual boundaries between material phases with different (and known) wave propagation velocities. The aim of the proposed approach is to provide a suitable framework to identify multiple/nested inclusions or a finite number of almost homogeneous sedimentary layers with sharp interfaces between them. The use of a single level set function provides a significant reduction in the number of variables to be identified, when compared with the usual multi-material phase approaches defined by multiple functions, especially for problems with a high number of degrees of freedom. Numerical experiments show satisfactory results in identifying simultaneously different interfaces. Cases with and without inverse crime are evaluated, showing that the approach is reasonably robust in dealing with such a condition.

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Section: Introductionmentioning

confidence: 99%

A single level set function approach for multiple material-phases applied to full-waveform inversion in the time domain

de Castro,

Silva,

Fancello

2024

Inverse Problems

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“…In those applications, a shape-based regularization approach has been proposed in the literature for the representation of those anomalous regions. In particular, in the application of imaging ground structure with solid salt domes embedded, different level set based shape reconstruction approaches have been proposed recently in [18,19,20,21,22,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

“…In the listed literature so far, a detailed analysis of the level set approach when using a full linear elastic wave velocity model is still missing. In the work presented here, we will follow the work initiated in [25] and demonstrate how an efficient seismic FWI approach can be designed for situations in which the subsurface contains such solid bodies of salt, using a linear elastic system model. We will provide a proof-of-concept study by using a 2D conservative formulation of the linear elastic wave equation in an isotropic setting.…”

Section: Introductionmentioning

confidence: 99%

Shape reconstruction in seismic full waveform inversion using a level set approach and time reversal

Dorn

2021

Journal of Computational Physics

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“…Level set regularization schemes have become a popular methodology when interested in solving shape-based inverse problems. For example, single level set inversion schemes have been designed in a multitude of applications, including non-destructive testing [1,4,15,29], reservoir imaging [22,60,61], medical imaging [17,20,51], or geophysical prospecting [12,65], amongst others. Its extension, color level set inversion schemes, have also proven to be useful as they sometimes depict more realistic scenarios.…”

Section: Introductionmentioning

confidence: 99%

Colour level set regularization for the electromagnetic imaging of highly discontinuous parameters in 3D

Hiles

Dorn

2020

Inverse Problems in Science and Engineering

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In this paper, we propose a novel reconstruction scheme for the low-frequency near-field electromagnetic imaging of high-contrast conductivity distributions inside shielded regions using the system of Maxwell's equations in 3D. In our novel scheme, we focus on estimating the shape characteristics of the electrical conductivity profile inside these regions from low-frequency electromagnetic data measured at external locations for a single frequency. We introduce a color level set regularization scheme which is a shape-based approach focusing on the simultaneous reconstruction of several shape-like distributions of different conductivity values in the same region of interest. We also introduce a topological perturbation scheme alongside the color level set regularization that is used to avoid a certain type of local minima which is characteristic for this simultaneous multi-value shape-based reconstruction. Using two numerical experiments focusing on a three-value reconstruction problem related to the imaging of shielded boxes or cargo containers, we compare this novel approach with results obtained from standard voxel-based reconstruction schemes on the one hand and the more established two-value shape based approach on the other hand. We demonstrate that, depending on the particular situation of the imaging setup, this three-value (or in general multiple-value) shape-based reconstruction technique has the potential to provide superior reconstruction results in many situations, in particular regarding reconstruction of the correct shapes. We also discuss particular challenges of this novel methodology.

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A level set method for shape reconstruction in seismic full waveform inversion using a linear elastic model in 2D

Cited by 4 publications

References 7 publications

A single level set function approach for multiple material-phases applied to full-waveform inversion in the time domain

A single level set function approach for multiple material-phases applied to full-waveform inversion in the time domain

Shape reconstruction in seismic full waveform inversion using a level set approach and time reversal

Colour level set regularization for the electromagnetic imaging of highly discontinuous parameters in 3D

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