{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:49:05Z","timestamp":1760147345482,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,1,27]],"date-time":"2023-01-27T00:00:00Z","timestamp":1674777600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"],"award-info":[{"award-number":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"]}]},{"DOI":"10.13039\/100007847","name":"Natural Science Foundation of Jilin Province","doi-asserted-by":"publisher","award":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"],"award-info":[{"award-number":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"]}],"id":[{"id":"10.13039\/100007847","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Second Tibetan Plateau Scientific Expedition and Research Program (STEP)","award":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"],"award-info":[{"award-number":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"]}]},{"DOI":"10.13039\/501100012166","name":"National Key R&amp;D Program of China","doi-asserted-by":"publisher","award":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"],"award-info":[{"award-number":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Lift Project for Young Science and Technology Talents of Jilin Province","award":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"],"award-info":[{"award-number":["42004106","42130805","42074154","YDZJ202101ZYTS020","2019QZKK0701","2020YFE0201300","QT202116"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Strong-scattering medium can usually form a good sealing medium for oil and gas resources. However, conventional elastic full-waveform inversion (EFWI) methods are difficult to build reliable velocity models under the condition of lacking low-frequency information. The elastic direct envelope inversion (EDEI) method has been proven to be able to model large-scale Vp and Vs structures of strong-scattering media. The successive use of EDEI and EFWI can obtain fine structures of the strong scatterers and their shielding areas. However, the inversion effects of inner velocity and bottom boundaries of strong scatterers by the existing methods need to be improved. In this paper, we propose the elastic direct envelope inversion with anisotropic total variation constraint (EDEI-ATV). The anisotropic total variation (ATV) constraint has the advantage of making the velocity more uniform inside the layer and sharper on boundaries, which can be used to improve the inversion results of EDEI. During the iterations, the ATV constraint is directly applied to the update of Vp and Vs, and the alternately iterative algorithm can achieve good results. After obtaining reliable large-scale Vp and Vs structures, the EFWI with anisotropic total variation constraint (EFWI-ATV) is performed to obtain high-precision Vp and Vs structures. Numerical examples verify the effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/rs15030746","type":"journal-article","created":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T10:19:28Z","timestamp":1675073968000},"page":"746","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Strong-Scattering Multiparameter Reconstruction Based on Elastic Direct Envelope Inversion and Full-Waveform Inversion with Anisotropic Total Variation Constraint"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8415-567X","authenticated-orcid":false,"given":"Pan","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}]},{"given":"Ru-Shan","family":"Wu","sequence":"additional","affiliation":[{"name":"Modeling and Imaging Laboratory, Department of Earth and Planetary Sciences, University of California, Santa Cruz, CA 95064, USA"}]},{"given":"Liguo","family":"Han","sequence":"additional","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}]},{"given":"Yixiu","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1190\/1.1441754","article-title":"Inversion of seismic reflection data in the acoustic approximation","volume":"49","author":"Tarantola","year":"1984","journal-title":"Geophysics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"WCC127","DOI":"10.1190\/1.3238367","article-title":"An overview of full-waveform inversion in exploration geophysics","volume":"74","author":"Virieux","year":"2009","journal-title":"Geophysics"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Rivera, C., Trinh, P., Bergounioux, E., and Duquet, B. (2019, January 15\u201320). Elastic multiparameter FWI in sharp contrast medium. Proceedings of the 89th SEG Annual Meeting, San Antonio, TX, USA.","DOI":"10.1190\/segam2019-3215092.1"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"922","DOI":"10.1111\/j.1365-246X.2008.03768.x","article-title":"Waveform inversion in the Laplace domain","volume":"173","author":"Shin","year":"2008","journal-title":"Geophys. J. Int."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1111\/j.1365-246X.2009.04102.x","article-title":"Waveform inversion in the Laplace-Fourier domain","volume":"177","author":"Shin","year":"2009","journal-title":"Geophys. J. Int."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Lewis, W., Starr, B., and Vigh, D. (2012, January 4\u20139). A level set approach to salt geometry inversion in full-waveform inversion. Proceedings of the 82nd SEG Annual Meeting, Las Vegas, NV, USA.","DOI":"10.1190\/segam2012-0737.1"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.jappgeo.2019.02.019","article-title":"Full waveform inversion based on time-integral-damping wavefield","volume":"163","author":"Chen","year":"2019","journal-title":"J. Appl. Geophys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"R583","DOI":"10.1190\/geo2018-0249.1","article-title":"Deep-learning inversion: A next-generation seismic velocity model building method","volume":"84","author":"Yang","year":"2019","journal-title":"Geophysics"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"A33","DOI":"10.1190\/geo2017-0563.1","article-title":"Edge-preserving smoothing for simultaneous-source full-waveform inversion model updates in high-contrast velocity models","volume":"83","author":"Anagaw","year":"2018","journal-title":"Geophysics"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1007\/s00024-017-1734-4","article-title":"The linearized Bregman method for frugal full-waveform inversion with compressive sensing and sparsity-promoting","volume":"175","author":"Chai","year":"2018","journal-title":"Pure Appl. Geophys."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1990","DOI":"10.1785\/0120070079","article-title":"Full waveform inversion for seismic velocity and anelastic losses in heterogeneous structures","volume":"97","author":"Askan","year":"2007","journal-title":"Bull. Seismol. Soc. Amer."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1093\/gji\/ggu393","article-title":"Acoustic- and elastic-waveform inversion using a modified total-variation regularization scheme","volume":"200","author":"Lin","year":"2015","journal-title":"Geophys. J. Int."},{"key":"ref_13","first-page":"716","article-title":"Multi-source elastic full waveform inversion based on the anisotropic total variation constraint","volume":"61","author":"Zhang","year":"2018","journal-title":"Chin. J. Geophys. -Chin. Ed."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"R175","DOI":"10.1190\/geo2018-0085.1","article-title":"Full-waveform inversion and joint migration inversion with an automatic directional total variation constraint","volume":"84","author":"Qu","year":"2019","journal-title":"Geophysics"},{"key":"ref_15","first-page":"R381","article-title":"Multiparameter wavefield reconstruction inversion for wavespeed and attenuation with bound constraints and total variation regularization","volume":"85","author":"Aghamiry","year":"2020","journal-title":"Geophysics"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"7753","DOI":"10.1109\/TGRS.2020.2983720","article-title":"New dynamic stochastic source encoding combined with a minmax-concave total variation regularization strategy for full waveform inversion","volume":"58","author":"Feng","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","unstructured":"Zhang, T., Sun, J., Innanen, K.A., and Trad, D.O. (September, January 27). A recurrent neural network for 1 anisotropic viscoelastic full waveform inversion with high-order total variation regularization. Proceedings of the First International Meeting for Applied Geoscience & Energy, Denver, CO, USA."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Esser, E., Herrmann, F.J., Guasch, L., and Warner, M. (2015, January 18\u201323). Constraint waveform inversion in salt-affected datasets. Proceedings of the 85th SEG Annual Meeting, New Orleans, LA, USA.","DOI":"10.1190\/segam2015-5834716.1"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1190\/tle35030235.1","article-title":"Constrained waveform inversion for automatic salt flooding","volume":"35","author":"Esser","year":"2016","journal-title":"Lead. Edge"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Qiu, L., Chemingui, N., Zou, Z., and Valenciano, A. (2016, January 16\u201321). Full waveform inversion with steerable variation regularization. Proceedings of the 86th SEG Annual Meeting, Dallas, TX, USA.","DOI":"10.1190\/segam2016-13872436.1"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1190\/tle36010094.1","article-title":"Constraints versus penalties for edge-preserving full-waveform inversion","volume":"36","author":"Peters","year":"2017","journal-title":"Lead. Edge"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"045006","DOI":"10.1088\/1361-6420\/aaaf8e","article-title":"Total variation regularization for seismic waveform inversion using an adaptive primal dual hybrid gradient method","volume":"34","author":"Yong","year":"2018","journal-title":"Inverse Probl."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"R569","DOI":"10.1190\/geo2018-0146.1","article-title":"Regularized full-waveform inversion with automated salt flooding","volume":"84","author":"Kalita","year":"2019","journal-title":"Geophysics"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"WA13","DOI":"10.1190\/geo2013-0294.1","article-title":"Seismic envelope inversion and modulation signal model","volume":"79","author":"Wu","year":"2014","journal-title":"Geophysics"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1111\/1365-2478.12208","article-title":"Seismic envelope inversion: Reduction of local minima and noise resistance","volume":"63","author":"Luo","year":"2015","journal-title":"Geophys. Prospect."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1111\/j.1365-246X.2011.04970.x","article-title":"Misfit functions for full waveform inversion based on instantaneous phase and envelope measurements","volume":"185","author":"Bozdag","year":"2011","journal-title":"Geophys. J. Int."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/s00024-018-2025-4","article-title":"Seismic envelope inversion based on hybrid scale separation for data with strong noises","volume":"176","author":"Zhang","year":"2019","journal-title":"Pure Appl. Geophys."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Wu, R.S., and Chen, G. (2017, January 12\u201315). New Fr\u00e9chet derivative for envelope data and multi-scale envelope inversion. Proceedings of the 79th EAGE Annual Meeting, Paris, France.","DOI":"10.3997\/2214-4609.201700833"},{"key":"ref_29","unstructured":"Wu, R.S., and Chen, G. (2022, November 20). Multi-Scale Seismic Envelope Inversion Using a Direct Envelope Fr\u00e9chet Derivative for Strong-Nonlinear Full Waveform Inversion. Available online: https:\/\/arxiv.org\/abs\/1808.05275."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"41","DOI":"10.4208\/cicp.OA-2018-0108","article-title":"Towards a Theoretical Background for Strong-Scattering Inversion\u2014Direct Envelope Inversion and Gel\u2019fand-Levitan-Marchenko Theory","volume":"28","author":"Wu","year":"2020","journal-title":"Commun. Comput. Phys."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1258","DOI":"10.1111\/1365-2478.12624","article-title":"Reflection multi-scale envelope inversion","volume":"66","author":"Chen","year":"2018","journal-title":"Geophys. Prospect."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.jappgeo.2018.04.008","article-title":"Multi-scale signed envelope inversion","volume":"153","author":"Chen","year":"2018","journal-title":"J. Appl. Geophys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2278","DOI":"10.1088\/1742-2140\/aac54d","article-title":"Seismic modulation model and envelope inversion with smoothed apparent polarity","volume":"15","author":"Wang","year":"2018","journal-title":"J. Geophys. Eng."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"6594","DOI":"10.1109\/TGRS.2020.2978125","article-title":"Application of envelope in salt structure velocity building: From objective function construction to the full-band seismic data reconstruction","volume":"58","author":"Chen","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"R581","DOI":"10.1190\/geo2017-0360.1","article-title":"Source-independent seismic envelope inversion based on the direct envelope Fr\u00e9chet derivative","volume":"83","author":"Zhang","year":"2018","journal-title":"Geophysics"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1029\/2018EA000453","article-title":"Multiscale direct envelope inversion: Algorithm and methodology for application to the salt structure inversion","volume":"6","author":"Chen","year":"2019","journal-title":"Earth Space Sci."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"5108","DOI":"10.1109\/TGRS.2019.2896936","article-title":"Joint multiscale direct envelope inversion of phase and amplitude in the time-frequency domain","volume":"57","author":"Hu","year":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1508","DOI":"10.1109\/LGRS.2019.2950471","article-title":"Angle domain direct envelope inversion method for strong-scattering velocity and density estimation","volume":"17","author":"Luo","year":"2020","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Zhang, P., Han, L., Zhang, F., Feng, Q., and Chen, X. (2021). Wavefield decomposition-based direct envelope inversion and structure-guided perturbation decomposition for salt building. Minerals, 11.","DOI":"10.3390\/min11090919"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"2046","DOI":"10.1016\/j.petsci.2022.05.007","article-title":"Elastic direct envelope inversion based on wave mode decomposition for multi-parameter reconstruction of strong-scattering media","volume":"19","author":"Zhang","year":"2022","journal-title":"Pet. Sci."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"8008805","DOI":"10.1109\/LGRS.2021.3061972","article-title":"Strong scattering elastic full waveform inversion with the envelope Fr\u00e9chet derivative","volume":"19","author":"Luo","year":"2022","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_42","first-page":"1","article-title":"Salt structure elastic full waveform inversion based on the multiscale signed envelope","volume":"60","author":"Chen","year":"2022","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_43","first-page":"3974","article-title":"Velocity construction using active and passive multi-component seismic data based on elastic full waveform inversion","volume":"62","author":"Zhang","year":"2019","journal-title":"Chin. J. Geophys. -Chin. Ed."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"2419","DOI":"10.1109\/TIP.2009.2028250","article-title":"Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems","volume":"18","author":"Beck","year":"2009","journal-title":"IEEE Trans. Image Process."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/3\/746\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:17:29Z","timestamp":1760120249000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/3\/746"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,27]]},"references-count":44,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["rs15030746"],"URL":"https:\/\/doi.org\/10.3390\/rs15030746","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2023,1,27]]}}}