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Comparison of Iterative Back-Projection Inversion and Generalized Inversion Without Blocks: Case Studies In Attenuation Tomography

Ho-Liu, Phyllis and Montagner, Jean-Paul and Kanamori, Hiroo (1989) Comparison of Iterative Back-Projection Inversion and Generalized Inversion Without Blocks: Case Studies In Attenuation Tomography. Geophysical Journal International, 97 (1). pp. 19-29. ISSN 0956-540X. https://resolver.caltech.edu/CaltechAUTHORS:20141104-143502191

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Abstract

Iterative back-projection tomography and generalized inversion without blocks (‘no-block’) are two different inversion techniques developed recently for 3-D studies, and are commonly applied to the inversion of travel-time data. In this study, we compare the two methods and derive one from the other under certain assumptions. We then apply these two methods to the attenuation problem, inverting for the quality factor, Q, of the medium. Usually, travel-time inversion involves large data sets and fine resolution is not possible if generalized inversion is applied. A relatively small data set with little redundancy enables us to apply both techniques with similar resolution. We applied the methods to the data sets obtained for two areas in southern California, the Coso-Indian Wells region and Imperial Valley. The results obtained by the two methods are very similar. Back-projection tomography is a direct and fast method for this type of problem. However, it does not provide formal error estimates and resolution. The no-block inversion requires more computational time, but formal errors and resolution can be directly computed for the final model. Thus, application of the two methods to the same data set enhances the objectivity of the final result.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1111/j.1365-246X.1989.tb00481.x DOIArticle
http://gji.oxfordjournals.org/content/97/1/19PublisherArticle
http://dx.doi.org/10.1111/j.1365-246X.1990.tb05686.xDOIDiscussion
http://gji.oxfordjournals.org/content/103/3/757.full.pdf+html?sid=3de5f7ad-938e-43c0-aeda-bf9d53003751PublisherDiscussion
ORCID:
AuthorORCID
Montagner, Jean-Paul0000-0001-9958-3012
Kanamori, Hiroo0000-0001-8219-9428
Additional Information:© 1989 Royal Astronomical Society. Accepted 1988 July 21. Received 1988 May 31; in original form 1987 December 24. We thank Don Anderson and Jiajun Zhang for reviewing the manuscript. Discussions with Rob Clayton have been very helpful. This work was supported by USGS Grant 14-08-0001-G1171. Contribution number 4572 from Division of Geological and Planetary Sciences, California Institute of Technology. Jean-Paul Montagner, Phyllis Ho-Liu, and Hiroo Kanamori Reply to comment by J. Trampert Geophys. J. Int. (1990) 103 (3): 757-758 doi:10.1111/j.1365-246X.1990.tb05686.x
Funders:
Funding AgencyGrant Number
USGS14-08-0001-G1171
Subject Keywords:attenuation, back-projection, generalized inverse, no-block inversion, tomography
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological and Planetary Sciences4572
Issue or Number:1
Record Number:CaltechAUTHORS:20141104-143502191
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141104-143502191
Official Citation:Phyllis Ho-Liu, Jean-Paul Montagner, and Hiroo Kanamori Comparison of Iterative Back-Projection Inversion and Generalized Inversion Without Blocks: Case Studies In Attenuation Tomography Geophys. J. Int. (1989) 97 (1): 19-29 doi:10.1111/j.1365-246X.1989.tb00481.x
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51251
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Nov 2014 22:43
Last Modified:09 Mar 2020 13:19

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