{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T10:45:09Z","timestamp":1790073909170,"version":"4.0.1"},"reference-count":0,"publisher":"Society of Exploration Geophysicists","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1986,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>I present a finite-difference method for modeling P-SV wave propagation in heterogeneous media. This is an extension of the method I previously proposed for modeling SH-wave propagation by using velocity and stress in a discrete grid. The two components of the velocity cannot be defined at the same node for a complete staggered grid: the stability condition and the P-wave phase velocity dispersion curve do not depend on the Poisson's ratio, while the S-wave phase velocity dispersion curve behavior is rather insensitive to the Poisson's ratio. Therefore, the same code used for elastic media can be used for liquid media, where S-wave velocity goes to zero, and no special treatment is needed for a liquid-solid interface. Typical physical phenomena arising with P-SV modeling, such as surface waves, are in agreement with analytical results. The weathered-layer and corner-edge models show in seismograms the same converted phases obtained by previous authors. This method gives stable results for step discontinuities, as shown for a liquid layer above an elastic half-space. The head wave preserves the correct amplitude. Finally, the corner-edge model illustrates a more complex geometry for the liquid-solid interface. As the Poisson's ratio v increases from 0.25 to 0.5, the shear converted phases are removed from seismograms and from the time section of the wave field.<\/jats:p>","DOI":"10.1190\/1.1442147","type":"journal-article","created":{"date-parts":[[2002,10,11]],"date-time":"2002-10-11T16:01:07Z","timestamp":1034352067000},"page":"889-901","source":"Crossref","is-referenced-by-count":2365,"title":["P-SV wave propagation in heterogeneous media; velocity-stress finite-difference method"],"prefix":"10.1190","volume":"51","author":[{"given":"Jean","family":"Virieux","sequence":"first","affiliation":[{"name":"Univ. Paris 7, Lab. Sismol., Paris, France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"186","published-online":{"date-parts":[[1986,4,1]]},"container-title":["Geophysics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.geoscienceworld.org\/seg\/geophysics\/article-pdf\/51\/4\/889\/3164391\/889.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.geoscienceworld.org\/seg\/geophysics\/article-pdf\/51\/4\/889\/3164391\/889.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T16:34:11Z","timestamp":1765384451000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.geoscienceworld.org\/geophysics\/article\/51\/4\/889\/68738\/P-SV-wave-propagation-in-heterogeneous-media"},"secondary":[{"URL":"http:\/\/geophysics.geoscienceworld.org\/cgi\/doi\/10.1190\/1.1442147","label":"geoscienceworld"}]},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,4,1]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1986,4,1]]}},"URL":"https:\/\/doi.org\/10.1190\/1.1442147","relation":{},"ISSN":["1942-2156","0016-8033"],"issn-type":[{"value":"1942-2156","type":"electronic"},{"value":"0016-8033","type":"print"}],"subject":[],"published-other":{"date-parts":[[1986,4,1]]},"published":{"date-parts":[[1986,4,1]]}}}