{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,12]],"date-time":"2026-09-12T01:59:43Z","timestamp":1789178383158,"version":"build-2803163510"},"reference-count":12,"publisher":"Society of Exploration Geophysicists","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Stability and efficiency are two issues of general concern in inverse Q filtering. This paper presents a stable, efficient approach to inverse Q filtering, based on the theory of wavefield downward continuation. It is implemented in a layered manner, assuming a depth-dependent, layered-earth Q model. For each individual constant Q layer, the seismic wavefield recorded at the surface is first extrapolated down to the top of the current layer and a constant Q inverse filter is then applied to the current layer. When extrapolating within the overburden, instead of applying wavefield downward continuation directly, a reversed, upward continuation system is solved to obtain a stabilized solution. Within the current constant Q layer, the amplitude compensation operator, which is a 2-D function of traveltime and frequency, is approximated optimally as the product of two 1-D functions depending, respectively, on time and frequency. The constant Q inverse filter that compensates simultaneously for phase and amplitude effects is then implemented efficiently in the Fourier domain.<\/jats:p>","DOI":"10.1190\/1.1468627","type":"journal-article","created":{"date-parts":[[2002,10,11]],"date-time":"2002-10-11T15:06:18Z","timestamp":1034348778000},"page":"657-663","source":"Crossref","is-referenced-by-count":348,"title":["A stable and efficient approach of inverse\n                    <i>Q<\/i>\n                    filtering"],"prefix":"10.1190","volume":"67","author":[{"given":"Yanghua","family":"Wang","sequence":"first","affiliation":[{"name":"\u2217Robertson Research International Ltd., Horizon House, Azalea Drive, Swanley, Kent BR8 8JR, U.K. E-mail: yanghua@geo.robresint.co.uk."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"186","published-online":{"date-parts":[[2002,1,1]]},"reference":[{"key":"2025121113224748000_R1","doi-asserted-by":"crossref","first-page":"1508","DOI":"10.1190\/1.1442799","article-title":"The Berlage wavelet","volume":"55","author":"Aldridge","year":"1990","journal-title":"Geophysics"},{"key":"2025121113224748000_R2","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1190\/1.1442011","article-title":"Plane-wave Q deconvolution","volume":"50","author":"Bickel","year":"1985","journal-title":"Geophysics"},{"key":"2025121113224748000_R3","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1190\/1.1444129","article-title":"Sensitivity of the dispersion correction to Q error","volume":"62","author":"Duren","year":"1997","journal-title":"Geophysics"},{"key":"2025121113224748000_R4","doi-asserted-by":"crossref","first-page":"5279","DOI":"10.1029\/JZ067i013p05279","article-title":"Dispersive body waves","volume":"67","author":"Futterman","year":"1962","journal-title":"J. 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Soc."},{"key":"2025121113224748000_R11","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1190\/1.1440101","article-title":"A predicted pedestal effect for pulse propagation in constant-Q solids","volume":"35","author":"Strick","year":"1970","journal-title":"Geophysics"},{"key":"2025121113224748000_R12","first-page":"133","article-title":"Random noise attenuation using forward-backward linear prediction","volume":"8","author":"Wang","year":"1999","journal-title":"J. Seis. Expl"}],"container-title":["Geophysics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.geoscienceworld.org\/seg\/geophysics\/article-pdf\/67\/2\/657\/3190890\/gsgpy_67_2_657.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.geoscienceworld.org\/seg\/geophysics\/article-pdf\/67\/2\/657\/3190890\/gsgpy_67_2_657.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T18:22:55Z","timestamp":1765477375000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.geoscienceworld.org\/geophysics\/article\/67\/2\/657\/260604\/A-stable-and-efficient-approach-of-inverse-Q"},"secondary":[{"URL":"http:\/\/geophysics.geoscienceworld.org\/cgi\/doi\/10.1190\/1.1468627","label":"geoscienceworld"}]},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1,1]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,1,1]]}},"URL":"https:\/\/doi.org\/10.1190\/1.1468627","relation":{},"ISSN":["1942-2156","0016-8033"],"issn-type":[{"value":"1942-2156","type":"electronic"},{"value":"0016-8033","type":"print"}],"subject":[],"published-other":{"date-parts":[[2002]]},"published":{"date-parts":[[2002,1,1]]}}}