Non-linear arrival time tomography

The use of 1D or pseudo- 3D ray tracing techniques in linearized tomographic problems leads to solutions for which it is difficult to assess the true resolution and error distribution. For this reason, we employ a revised 3D bending algorithm (Moser et al., 1992) and show that it can be used efficie...

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Main Authors: G. Nolet, C. B. Papazachos
Format: Article
Language:English
Published: Istituto Nazionale di Geofisica e Vulcanologia (INGV) 1997-06-01
Series:Annals of Geophysics
Subjects:
Online Access:http://www.annalsofgeophysics.eu/index.php/annals/article/view/3937
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author G. Nolet
C. B. Papazachos
author_facet G. Nolet
C. B. Papazachos
author_sort G. Nolet
collection DOAJ
description The use of 1D or pseudo- 3D ray tracing techniques in linearized tomographic problems leads to solutions for which it is difficult to assess the true resolution and error distribution. For this reason, we employ a revised 3D bending algorithm (Moser et al., 1992) and show that it can be used efficiently for a non-linear inversion in a stepwise scheme. Initial paths are determined from graph theory in order to avoid local minima in bending. The importance of 3D ray tracing in inversion studies and the limitations of the standard 1D approach are demonstrated through synthetic examples. The speed of the ray tracing and the simple scaling scheme allow for an implementation in large-scale tomographic problems.
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spelling doaj.art-537282205f5e4dcbbe9f2298f95e08c42022-12-22T02:49:21ZengIstituto Nazionale di Geofisica e Vulcanologia (INGV)Annals of Geophysics1593-52132037-416X1997-06-0140110.4401/ag-3937Non-linear arrival time tomographyG. NoletC. B. PapazachosThe use of 1D or pseudo- 3D ray tracing techniques in linearized tomographic problems leads to solutions for which it is difficult to assess the true resolution and error distribution. For this reason, we employ a revised 3D bending algorithm (Moser et al., 1992) and show that it can be used efficiently for a non-linear inversion in a stepwise scheme. Initial paths are determined from graph theory in order to avoid local minima in bending. The importance of 3D ray tracing in inversion studies and the limitations of the standard 1D approach are demonstrated through synthetic examples. The speed of the ray tracing and the simple scaling scheme allow for an implementation in large-scale tomographic problems.http://www.annalsofgeophysics.eu/index.php/annals/article/view/3937non-linear inversionarrival timesgraph theorybending3D ray tracing
spellingShingle G. Nolet
C. B. Papazachos
Non-linear arrival time tomography
Annals of Geophysics
non-linear inversion
arrival times
graph theory
bending
3D ray tracing
title Non-linear arrival time tomography
title_full Non-linear arrival time tomography
title_fullStr Non-linear arrival time tomography
title_full_unstemmed Non-linear arrival time tomography
title_short Non-linear arrival time tomography
title_sort non linear arrival time tomography
topic non-linear inversion
arrival times
graph theory
bending
3D ray tracing
url http://www.annalsofgeophysics.eu/index.php/annals/article/view/3937
work_keys_str_mv AT gnolet nonlineararrivaltimetomography
AT cbpapazachos nonlineararrivaltimetomography