{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T02:56:16Z","timestamp":1775098576372,"version":"3.50.1"},"reference-count":54,"publisher":"Society of Exploration Geophysicists","issue":"4","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42374148"],"award-info":[{"award-number":["42374148"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42374148"],"award-info":[{"award-number":["42374148"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["library.seg.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,1,7]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Elliptical anisotropy is convenient to use as the reference medium in perturbation methods designed to study P-wave propagation for transverse isotropy (TI). We make the elliptically anisotropic TI model attenuative and discuss the corresponding P-wave dispersion relation and the wave equation. Our analysis leads to two conditions in terms of the Thomsen-type parameters, which guarantee that the P-wave slowness surface and the dispersion relation satisfy elliptical equations. We also obtain the viscoacoustic wave equation for such elliptically anisotropic media and solve it for point-source radiation using the correspondence principle. For the constant-Q TI model, we use the weighting function method to derive the viscoacoustic wave equation in differential form. Numerical examples validate the proposed elliptical conditions and illustrate the behavior of the P wavefield in attenuative elliptical TI models.<\/jats:p>","DOI":"10.1190\/geo2022-0768.1","type":"journal-article","created":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T08:12:18Z","timestamp":1710231138000},"page":"C147-C158","update-policy":"https:\/\/doi.org\/10.1190\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["P-wave propagation in attenuative elliptical VTI media"],"prefix":"10.1190","volume":"89","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3176-3222","authenticated-orcid":false,"given":"Qi","family":"Hao","sequence":"first","affiliation":[{"name":"Jilin University 1 , College of Geoexploration Science and Technology, Changchun, China. xqi.hao@gmail.com (corresponding 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