Time domain scattering of acoustic plane waves by vertical faults

Bibliographic Details
Main Author: Sampaio, Edson E. S.
Publication Date: 1996
Other Authors: Popov, Mikhail M.
Format: Article
Language: eng
Source: Repositório Institucional da UFBA
Download full: http://www.repositorio.ufba.br/ri/handle/ri/8468
Summary: Texto completo: acesso restrito. p.95-112
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spelling Sampaio, Edson E. S.Popov, Mikhail M.Sampaio, Edson E. S.Popov, Mikhail M.2013-02-18T13:21:24Z19960033-4553http://www.repositorio.ufba.br/ri/handle/ri/8468v. 148, n. 1-2Texto completo: acesso restrito. p.95-112Acoustic plane wave scattering at a vertical fault structure represents the simplest two-dimensional model of geophysical exploration that can be investigated by analytical techniques. The exact and complete solution, in the time domain, for the scattering of the pressure field of an acoustic plane wave normally incident on a vertical fault structure is determined adapting previous results given for the frequency domain. The wave form of the pressure field of the incident plane wave is expressed by a causal time function that decays exponentially with time at every point above the fault (z<0). The zero-order term of the scattered pressure field has been computed above the fault. This zero-order term consists of an inverse Fourier transform which reduces to a closed expression forx=0, and contains an integral of a Hankel function forx#0. The high frequency part of the inverse Fourier transform forx#0 is computed employing asymptotic expressions for the Hankel function. The integral of the asymptotic expression of the Hankel function reduces to: (i) a Fresnel integral which contains a plane wave term for |x|≪|z|; and (ii) a stationary point plane wave term plus an upper limit term for |x|=O(|z|). For the latter case the plane wave term cancels, leaving a cylindrical wave emanated from the edge of the fault. The wave front is well defined in shape, in phase and in amplitude. The amplitude of the scattered field is discontinuous atx=0, presents a jump and is well defined for |x| small and is rather smooth for |x| large.Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2013-02-15T13:06:38Z No. of bitstreams: 1 Sampaio.pdf: 1137368 bytes, checksum: 1973b719a616ae12728bc3683e3e0628 (MD5)Approved for entry into archive by Fatima Cleômenis Botelho Maria (botelho@ufba.br) on 2013-02-18T13:21:24Z (GMT) No. of bitstreams: 1 Sampaio.pdf: 1137368 bytes, checksum: 1973b719a616ae12728bc3683e3e0628 (MD5)Made available in DSpace on 2013-02-18T13:21:24Z (GMT). No. of bitstreams: 1 Sampaio.pdf: 1137368 bytes, checksum: 1973b719a616ae12728bc3683e3e0628 (MD5) Previous issue date: 1996http://dx.doi.org/10.1007/BF00882056reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAScatteringacoustictime domainvertical faultsTime domain scattering of acoustic plane waves by vertical faultsPure and Applied Geophysicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINALSampaio.pdfSampaio.pdfapplication/pdf1137368https://repositorio.ufba.br/bitstream/ri/8468/1/Sampaio.pdf1973b719a616ae12728bc3683e3e0628MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/8468/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTSampaio.pdf.txtSampaio.pdf.txtExtracted texttext/plain28764https://repositorio.ufba.br/bitstream/ri/8468/3/Sampaio.pdf.txtdcb00a54b6caddeb235b56eb96801475MD53ri/84682022-07-05 14:03:01.82oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestrepositorio@ufba.bropendoar:19322022-07-05T17:03:01Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Time domain scattering of acoustic plane waves by vertical faults
dc.title.alternative.pt_BR.fl_str_mv Pure and Applied Geophysics
title Time domain scattering of acoustic plane waves by vertical faults
spellingShingle Time domain scattering of acoustic plane waves by vertical faults
Sampaio, Edson E. S.
Scattering
acoustic
time domain
vertical faults
title_short Time domain scattering of acoustic plane waves by vertical faults
title_full Time domain scattering of acoustic plane waves by vertical faults
title_fullStr Time domain scattering of acoustic plane waves by vertical faults
title_full_unstemmed Time domain scattering of acoustic plane waves by vertical faults
title_sort Time domain scattering of acoustic plane waves by vertical faults
author Sampaio, Edson E. S.
author_facet Sampaio, Edson E. S.
Popov, Mikhail M.
author_role author
author2 Popov, Mikhail M.
author2_role author
dc.contributor.author.fl_str_mv Sampaio, Edson E. S.
Popov, Mikhail M.
Sampaio, Edson E. S.
Popov, Mikhail M.
dc.subject.por.fl_str_mv Scattering
acoustic
time domain
vertical faults
topic Scattering
acoustic
time domain
vertical faults
description Texto completo: acesso restrito. p.95-112
publishDate 1996
dc.date.issued.fl_str_mv 1996
dc.date.accessioned.fl_str_mv 2013-02-18T13:21:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/8468
dc.identifier.issn.none.fl_str_mv 0033-4553
dc.identifier.number.pt_BR.fl_str_mv v. 148, n. 1-2
identifier_str_mv 0033-4553
v. 148, n. 1-2
url http://www.repositorio.ufba.br/ri/handle/ri/8468
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1007/BF00882056
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
bitstream.url.fl_str_mv https://repositorio.ufba.br/bitstream/ri/8468/1/Sampaio.pdf
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