A note on the dynamic and static displacements from a point source in multilayered media
Identifieur interne : 000433 ( Main/Exploration ); précédent : 000432; suivant : 000434A note on the dynamic and static displacements from a point source in multilayered media
Auteurs : Lupei Zhu [États-Unis] ; Luis A. Rivera [France, États-Unis]Source :
- Geophysical Journal International [ 0956-540X ] ; 2002-03.
English descriptors
Abstract
A simple and unified approach is presented to solve both the elasto-dynamic and elasto-static problems of point sources in a multi-layered half-space by using the Thompson-Haskell propagator matrix technique. It is shown that the apparent incompatibility between the two is associated with the degeneracy of the dynamic problem when ω = 0 and both can be handled uniformly using the Jordan canonical forms of matrices. We re-derive the propagator matrices for both the dynamic and static cases. We then show that the dynamic propagator matrix and the solution converge to their static counterparts as ω → 0. Satisfactory static deformation can be obtained numerically using the dynamic solution at near-zero frequency.
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DOI: 10.1046/j.1365-246X.2002.01610.x
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Int.</title><idno type="ISSN">0956-540X</idno><idno type="eISSN">1365-246X</idno><imprint><publisher>Blackwell Publishing Ltd</publisher><pubPlace>Oxford, UK</pubPlace><date type="published" when="2002-03">2002-03</date><biblScope unit="volume">148</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="619">619</biblScope><biblScope unit="page" to="627">627</biblScope></imprint><idno type="ISSN">0956-540X</idno></series><idno type="istex">C78CE02E2D10CDDF5C26031BD8103A06FE3AEDDA</idno><idno type="DOI">10.1046/j.1365-246X.2002.01610.x</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0956-540X</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>deformation</term><term>elastic wave theory</term><term>seismic wave propagation</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">A simple and unified approach is presented to solve both the elasto-dynamic and elasto-static problems of point sources in a multi-layered half-space by using the Thompson-Haskell propagator matrix technique. It is shown that the apparent incompatibility between the two is associated with the degeneracy of the dynamic problem when ω = 0 and both can be handled uniformly using the Jordan canonical forms of matrices. We re-derive the propagator matrices for both the dynamic and static cases. We then show that the dynamic propagator matrix and the solution converge to their static counterparts as ω → 0. Satisfactory static deformation can be obtained numerically using the dynamic solution at near-zero frequency.</div></front></TEI><affiliations><list><country><li>France</li><li>États-Unis</li></country><region><li>Alsace (région administrative)</li><li>Grand Est</li></region><settlement><li>Strasbourg</li></settlement></list><tree><country name="États-Unis"><noRegion><name sortKey="Zhu, Lupei" sort="Zhu, Lupei" uniqKey="Zhu L" first="Lupei" last="Zhu">Lupei Zhu</name></noRegion><name sortKey="Rivera, Luis A" sort="Rivera, Luis A" uniqKey="Rivera L" first="Luis A." last="Rivera">Luis A. Rivera</name><name sortKey="Zhu, Lupei" sort="Zhu, Lupei" uniqKey="Zhu L" first="Lupei" last="Zhu">Lupei Zhu</name></country><country name="France"><region name="Grand Est"><name sortKey="Rivera, Luis A" sort="Rivera, Luis A" uniqKey="Rivera L" first="Luis A." last="Rivera">Luis A. Rivera</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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