{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T03:34:12Z","timestamp":1776915252163,"version":"3.51.2"},"reference-count":41,"publisher":"Society of Exploration Geophysicists","issue":"5","funder":[{"DOI":"10.13039\/100013165","name":"National Energy Technology Laboratory","doi-asserted-by":"publisher","award":["DE-FE0031544"],"award-info":[{"award-number":["DE-FE0031544"]}],"id":[{"id":"10.13039\/100013165","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100013165","name":"National Energy Technology Laboratory","doi-asserted-by":"publisher","award":["DE-FE0032058"],"award-info":[{"award-number":["DE-FE0032058"]}],"id":[{"id":"10.13039\/100013165","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1953177"],"award-info":[{"award-number":["DMS-1953177"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["EAR-1919650"],"award-info":[{"award-number":["EAR-1919650"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100013165","name":"National Energy Technology Laboratory","doi-asserted-by":"publisher","award":["DE-FE0031544"],"award-info":[{"award-number":["DE-FE0031544"]}],"id":[{"id":"10.13039\/100013165","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100013165","name":"National Energy Technology Laboratory","doi-asserted-by":"publisher","award":["DE-FE0032058"],"award-info":[{"award-number":["DE-FE0032058"]}],"id":[{"id":"10.13039\/100013165","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1953177"],"award-info":[{"award-number":["DMS-1953177"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["EAR-1919650"],"award-info":[{"award-number":["EAR-1919650"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["library.seg.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,1,9]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Accurate seismic attenuation models of subsurface structures not only enhance subsequent migration processes by improving fidelity, resolution, and facilitating amplitude-compliant angle gather generation but also provide valuable constraints on subsurface physical properties. Leveraging full-wavefield information, multiparameter viscoacoustic full-waveform inversion (Q-FWI) simultaneously estimates seismic velocity and attenuation (Q) models. However, a major challenge in Q-FWI is the contamination of crosstalk artifacts, where inaccuracies in the velocity model are mistakenly mapped to the inverted attenuation model. While incorporating the Hessian is expected to mitigate these artifacts, the explicit implementation is prohibitively expensive due to its formidable computational cost. In this study, we formulate and develop a Q-FWI algorithm via the Newton-conjugate gradient (CG) framework, where the search direction at each iteration is determined through an internal CG loop. In particular, the Hessian is integrated into each CG step in a matrix-free fashion using the second-order adjoint-state method. We find through synthetic experiments that our Newton-CG Q-FWI significantly mitigates crosstalk artifacts compared with the limited-memory Broyden-Fletcher-Goldfarb-Shanno method and the CG method, albeit with a notable computational cost. In the discussion of several key implementation details, we also determine the significance of the approximate Gauss-Newton Hessian, the second-order adjoint-state method, and the two-stage inversion strategy.<\/jats:p>","DOI":"10.1190\/geo2023-0634.1","type":"journal-article","created":{"date-parts":[[2024,5,21]],"date-time":"2024-05-21T08:16:20Z","timestamp":1716279380000},"page":"R429-R442","update-policy":"https:\/\/doi.org\/10.1190\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Advancing attenuation estimation through integration of the Hessian in multiparameter viscoacoustic full-waveform inversion"],"prefix":"10.1190","volume":"89","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3683-8919","authenticated-orcid":false,"given":"Guangchi","family":"Xing","sequence":"first","affiliation":[{"name":"The Pennsylvania State University 1 Formerly , Department of Geosciences, University Park, Pennsylvania, USA; presently , Houston, Texas, USA. guangchi.j.xing@gmail.com (corresponding author)"},{"name":"Chevron Corporation 1 Formerly , Department of Geosciences, University Park, Pennsylvania, USA; presently , Houston, Texas, USA. guangchi.j.xing@gmail.com (corresponding author)"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3172-8240","authenticated-orcid":false,"given":"Tieyuan","family":"Zhu","sequence":"additional","affiliation":[{"name":"The Pennsylvania State University 2 , Department of Geosciences, University Park, Pennsylvania, USA and , EMS Energy Institute, University Park, Pennsylvania, USA. tyzhu@psu.edu"},{"name":"The Pennsylvania State University 2 , Department of Geosciences, University Park, Pennsylvania, USA and , EMS Energy Institute, University Park, Pennsylvania, USA. tyzhu@psu.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"186","published-online":{"date-parts":[[2024,7,29]]},"reference":[{"issue":"3","key":"2025121212550086000_r1","doi-asserted-by":"crossref","first-page":"R91","DOI":"10.1190\/geo2013-0366.1","article-title":"A recipe for practical full-waveform inversion in anisotropic media: An analytical parameter resolution study","volume":"79","author":"Alkhalifah","year":"2014","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"issue":"4","key":"2025121212550086000_r2","doi-asserted-by":"crossref","first-page":"S93","DOI":"10.1190\/geo2011-0114.1","article-title":"Time-reversal checkpointing methods for RTM and FWI","volume":"77","author":"Anderson","year":"2012","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r3","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1111\/j.1365-246X.2004.02195.x","article-title":"Shear wave velocity, seismic attenuation, and thermal structure of the continental upper mantle","volume":"157","author":"Artemieva","year":"2004","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r4","doi-asserted-by":"crossref","unstructured":"Cavalca\n              M.\n            \n            \n              Moore\n              I.\n            \n            \n              Zhang\n              L.\n            \n            \n              Ng\n              S. L.\n            \n            \n              Fletcher\n              R.\n            \n            \n              Bayly\n              M.\n            \n          , 2011, Ray-based tomography for Q estimation and Q compensation in complex media: 81st Annual International Meeting, SEG, Expanded Abstracts, 3989\u20133993, doi: http:\/\/dx.doi.org\/10.1190\/1.3628039.","DOI":"10.1190\/1.3628039"},{"key":"2025121212550086000_r5","unstructured":"Cheng\n              X.\n            \n            \n              Petton\n              R.\n            \n            \n              Anstey\n              I.\n            \n            \n              Lai\n              W.-L.\n            \n            \n              Vigh\n              D.\n            \n            \n              Menzel-Jones\n              G.\n            \n          , 2015, Application of visco-acoustic full waveform inversion to shallow-water, shallow-gas data: Presented at the 2nd AAPG\/EAGE\/MGS Oil & Gas Conference."},{"key":"2025121212550086000_r6","doi-asserted-by":"crossref","first-page":"1252","DOI":"10.1190\/1.1442386","article-title":"Incorporation of attenuation into time-domain computations of seismic wave fields","volume":"52","author":"Emmerich","year":"1987","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r7","doi-asserted-by":"crossref","DOI":"10.1088\/0266-5611\/24\/3\/034015","article-title":"A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion","volume":"24","author":"Epanomeritakis","year":"2008","journal-title":"Inverse Problems","ISSN":"https:\/\/id.crossref.org\/issn\/0266-5611","issn-type":"print"},{"key":"2025121212550086000_r8","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1111\/j.1365-246X.2011.04966.x","article-title":"Hessian kernels of seismic data functionals based upon adjoint techniques","volume":"185","author":"Fichtner","year":"2011","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r9","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1111\/j.1365-246X.2010.04848.x","article-title":"Seismic attenuation imaging with causality","volume":"184","author":"Hak","year":"2011","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"issue":"1","key":"2025121212550086000_r10","doi-asserted-by":"crossref","first-page":"R105","DOI":"10.1190\/geo2021-0804.1","article-title":"Data-assimilated time-lapse visco-acoustic full-waveform inversion: Theory and application for injected CO2 plume monitoring","volume":"88","author":"Huang","year":"2023","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r11","doi-asserted-by":"crossref","unstructured":"Innanen\n              K.\n            \n          , 2014, Reconciling seismic AVO and precritical reflection FWI \u2014 Analysis of the inverse Hessian: 84th Annual International Meeting, SEG, Expanded Abstracts, 1022\u20131027, doi: http:\/\/dx.doi.org\/10.1190\/segam2014-0588.1.","DOI":"10.1190\/segam2014-0588.1"},{"key":"2025121212550086000_r12","doi-asserted-by":"crossref","DOI":"10.1515\/9783110208276","volume-title":"Iterative regularization methods for nonlinear ill-posed problems","author":"Kaltenbacher","year":"2008"},{"key":"2025121212550086000_r13","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1093\/gji\/ggt109","article-title":"Inversion strategies for visco-acoustic waveform inversion","volume":"194","author":"Kamei","year":"2013","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r14","doi-asserted-by":"crossref","first-page":"4737","DOI":"10.1029\/JB084iB09p04737","article-title":"Constant Q-wave propagation and attenuation","volume":"84","author":"Kjartansson","year":"1979","journal-title":"Journal of Geophysical Research: Solid Earth"},{"key":"2025121212550086000_r15","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1111\/j.1365-246X.2012.05633.x","article-title":"On the influence of model parametrization in elastic full waveform tomography","volume":"191","author":"K\u00f6hn","year":"2012","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r16","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1093\/gji\/ggt354","article-title":"Effect of fracture fill on seismic attenuation and dispersion in fractured porous rocks","volume":"195","author":"Kong","year":"2013","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r17","doi-asserted-by":"crossref","first-page":"1094","DOI":"10.1002\/2013JB010591","article-title":"Seismic attenuation tomography of the Northeast Japan arc: Insight into the 2011 Tohoku earthquake (MW 9.0) and subduction dynamics","volume":"119","author":"Liu","year":"2014","journal-title":"Journal of Geophysical Research: Solid Earth"},{"key":"2025121212550086000_r18","doi-asserted-by":"crossref","first-page":"1353","DOI":"10.1111\/1365-2478.12136","article-title":"Full waveform inversion and the truncated Newton method: Quantitative imaging of complex subsurface structures","volume":"62","author":"M\u00e9tivier","year":"2014","journal-title":"Geophysical Prospecting","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8025","issn-type":"print"},{"key":"2025121212550086000_r19","doi-asserted-by":"crossref","first-page":"1864","DOI":"10.1093\/gji\/ggw202","article-title":"Seismic waveform inversion best practices: Regional, global and exploration test cases","volume":"206","author":"Modrak","year":"2016","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"issue":"5","key":"2025121212550086000_r20","doi-asserted-by":"crossref","first-page":"75A147","DOI":"10.1190\/1.3463417","article-title":"Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks \u2014 A review","volume":"75","author":"M\u00fcller","year":"2010","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r21","volume-title":"Numerical optimization","author":"Nocedal","year":"2006"},{"key":"2025121212550086000_r22","doi-asserted-by":"crossref","first-page":"1040","DOI":"10.1190\/tle32091040.1","article-title":"A guided tour of multiparameter full-waveform inversion with multicomponent data: From theory to practice","volume":"32","author":"Operto","year":"2013","journal-title":"The Leading Edge"},{"issue":"5","key":"2025121212550086000_r23","doi-asserted-by":"crossref","first-page":"R275","DOI":"10.1190\/geo2015-0594.1","article-title":"Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion","volume":"81","author":"Pan","year":"2016","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r24","doi-asserted-by":"crossref","first-page":"1292","DOI":"10.1093\/gji\/ggaa089","article-title":"On the influence of different misfit functions for attenuation estimation in viscoelastic full-waveform inversion: Synthetic study","volume":"221","author":"Pan","year":"2020","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r25","doi-asserted-by":"crossref","DOI":"10.1029\/2011JF002201","article-title":"Seismic attenuation in glacial ice: A proxy for englacial temperature","volume":"117","author":"Peters","year":"2012","journal-title":"Journal of Geophysical Research: Earth Surface"},{"key":"2025121212550086000_r26","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1190\/1.1442836","article-title":"Nonlinear inversion of seismic reflection data in a laterally invariant medium","volume":"55","author":"Pica","year":"1990","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r27","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1111\/j.1365-246X.2006.02978.x","article-title":"A review of the adjoint-state method for computing the gradient of a functional with geophysical applications","volume":"167","author":"Plessix","year":"2006","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r28","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1046\/j.1365-246X.1998.00498.x","article-title":"Gauss\u2013Newton and full Newton methods in frequency\u2013space seismic waveform inversion","volume":"133","author":"Pratt","year":"1998","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r29","doi-asserted-by":"crossref","DOI":"10.1029\/2004JB003018","article-title":"Seismic attenuation and mantle wedge temperatures in the Alaska subduction zone","volume":"109","author":"Stachnik","year":"2004","journal-title":"Journal of Geophysical Research: Solid Earth"},{"issue":"4","key":"2025121212550086000_r30","doi-asserted-by":"crossref","first-page":"S271","DOI":"10.1190\/geo2015-0520.1","article-title":"Q-compensated least-squares reverse time migration using low-rank one-step wave extrapolation","volume":"81","author":"Sun","year":"2016","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r31","doi-asserted-by":"crossref","unstructured":"Wang\n              Y.\n            \n            \n              Dong\n              L.\n            \n            \n              Wang\n              Z.\n            \n          , 2016, FWI using truncated Newton method based on high performance computing: Workshop High Performance Computing, 37\u201338, doi: http:\/\/dx.doi.org\/10.1190\/hpc2016-018.","DOI":"10.1190\/hpc2016-018"},{"key":"2025121212550086000_r32","doi-asserted-by":"crossref","first-page":"11568","DOI":"10.1029\/2019JB017985","article-title":"Modeling frequency-independent Q viscoacoustic wave propagation in heterogeneous media","volume":"124","author":"Xing","year":"2019","journal-title":"Journal of Geophysical Research: Solid Earth"},{"issue":"1","key":"2025121212550086000_r33","doi-asserted-by":"crossref","first-page":"T61","DOI":"10.1190\/geo2021-0248.1","article-title":"Decoupled Fr\u00e9chet kernels based on a fractional viscoacoustic wave equation","volume":"87","author":"Xing","year":"2022","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"issue":"5","key":"2025121212550086000_r34","doi-asserted-by":"crossref","first-page":"R645","DOI":"10.1190\/geo2022-0614.1","article-title":"Compensating the attenuation effects in the full waveform inversion with dissipation-dispersion decoupling","volume":"88","author":"Xing","year":"2023","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"issue":"1","key":"2025121212550086000_r35","doi-asserted-by":"crossref","first-page":"A13","DOI":"10.1190\/geo2017-0469.1","article-title":"Accelerating full-waveform inversion with attenuation compensation","volume":"83","author":"Xue","year":"2018","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"issue":"6","key":"2025121212550086000_r36","doi-asserted-by":"crossref","first-page":"R399","DOI":"10.1190\/geo2015-0707.1","article-title":"Simultaneous estimation of velocity and density in acoustic multiparameter full-waveform inversion using an improved scattering-integral approach","volume":"81","author":"Yang","year":"2016","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"},{"key":"2025121212550086000_r37","article-title":"Estimating P-wave velocity and attenuation structures using full waveform inversion based on a time-domain complex-valued viscoacoustic wave equation: The method","volume":"125","author":"Yang","year":"2020","journal-title":"Journal of Geophysical Research: Solid Earth"},{"key":"2025121212550086000_r38","doi-asserted-by":"crossref","first-page":"B1101","DOI":"10.1137\/17M1126126","article-title":"A time-domain preconditioned truncated Newton approach to visco-acoustic multiparameter full waveform inversion","volume":"40","author":"Yang","year":"2018","journal-title":"SIAM Journal on Scientific Computing","ISSN":"https:\/\/id.crossref.org\/issn\/1064-8275","issn-type":"print"},{"key":"2025121212550086000_r39","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1093\/gji\/ggu492","article-title":"Seismic structure of the European upper mantle based on adjoint tomography","volume":"201","author":"Zhu","year":"2015","journal-title":"Geophysical Journal International","ISSN":"https:\/\/id.crossref.org\/issn\/0956-540X","issn-type":"print"},{"key":"2025121212550086000_r40","doi-asserted-by":"crossref","first-page":"7156","DOI":"10.1002\/2017JB014164","article-title":"Spatiotemporal changes of seismic attenuation caused by injected CO2 at the Frio-II pilot site, Dayton, TX, USA","volume":"122","author":"Zhu","year":"2017","journal-title":"Journal of Geophysical Research: Solid Earth"},{"issue":"3","key":"2025121212550086000_r41","doi-asserted-by":"crossref","first-page":"S77","DOI":"10.1190\/geo2013-0344.1","article-title":"Q-compensated reverse-time migration","volume":"79","author":"Zhu","year":"2014","journal-title":"Geophysics","ISSN":"https:\/\/id.crossref.org\/issn\/0016-8033","issn-type":"print"}],"container-title":["Geophysics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/library.seg.org\/doi\/am-pdf\/10.1190\/geo2023-0634.1","content-type":"application\/pdf","content-version":"am","intended-application":"unspecified"},{"URL":"https:\/\/pubs.geoscienceworld.org\/seg\/geophysics\/article-pdf\/89\/5\/R429\/6946957\/geo-2023-0634.1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.geoscienceworld.org\/seg\/geophysics\/article-pdf\/89\/5\/R429\/6946957\/geo-2023-0634.1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T17:55:12Z","timestamp":1765562112000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.geoscienceworld.org\/geophysics\/article\/89\/5\/R429\/645946\/Advancing-attenuation-estimation-through"},"secondary":[{"URL":"https:\/\/pubs.geoscienceworld.org\/geophysics\/article\/89\/5\/r429\/645946\/advancing-attenuation-estimation-through","label":"geoscienceworld"}]},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,9]]},"references-count":41,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2024,1,9]]}},"URL":"https:\/\/doi.org\/10.1190\/geo2023-0634.1","relation":{},"ISSN":["0016-8033","1942-2156"],"issn-type":[{"value":"0016-8033","type":"print"},{"value":"1942-2156","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,9]]},"assertion":[{"value":"2023-10-23","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication 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