Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion
In seismic full-waveform inversion (FWI), subsurface parameters are estimated by iteratively minimizing the difference between the modeled and the observed data. We have considered the problem of estimating the elastic constants of a fractured medium using multiparameter FWI and modeling naturally f...
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| Format: | Article |
| Language: | en_US |
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Society of Exploration Geophysicists
2017
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| Online Access: | http://hdl.handle.net/1721.1/106926 https://orcid.org/0000-0002-8814-5495 |
| _version_ | 1826192386357723136 |
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| author | Pan, Wenyong Innanen, Kristopher A. Margrave, Gary F. Li, Junxiao Fang, Xinding Fehler, Michael |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Pan, Wenyong Innanen, Kristopher A. Margrave, Gary F. Li, Junxiao Fang, Xinding Fehler, Michael |
| author_sort | Pan, Wenyong |
| collection | MIT |
| description | In seismic full-waveform inversion (FWI), subsurface parameters are estimated by iteratively minimizing the difference between the modeled and the observed data. We have considered the problem of estimating the elastic constants of a fractured medium using multiparameter FWI and modeling naturally fractured reservoirs as equivalent anisotropic media. Multiparameter FWI, although promising, remains exposed to a range of challenges, one being the parameter crosstalk problem resulting from the overlap of Fréchet derivative wavefields. Parameter crosstalk is strongly influenced by the form of the scattering pattern for each parameter. We have derived 3D radiation patterns associated with scattering from a range of elastic constants in general anisotropic media. Then, we developed scattering patterns specific to a horizontal transverse isotropic (HTI) medium to draw conclusions about parameter crosstalk in FWI. Bare gradients exhibit crosstalk, as well as artifacts caused by doubly scattered energy in the data residuals. The role of the multiparameter Gauss-Newton (GN) Hessian in suppressing parameter crosstalk is revealed. We have found that the second-order term in the multiparameter Hessian, which is associated with multiparameter second-order scattering effects, can be constructed with the adjoint-state technique. We have examined the analytic scattering patterns for HTI media with a 2D numerical example. We have examined the roles played by the first- and second-order terms in multiparameter Hessian to suppress parameter crosstalk and second-order scattering artifacts numerically. We have also compared the multiparameter GN and full-Newton methods as methods for determining the elastic constants in HTI media with a two-block-layer model. |
| first_indexed | 2024-09-23T09:10:53Z |
| format | Article |
| id | mit-1721.1/106926 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:10:53Z |
| publishDate | 2017 |
| publisher | Society of Exploration Geophysicists |
| record_format | dspace |
| spelling | mit-1721.1/1069262024-05-15T05:22:13Z Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion Pan, Wenyong Innanen, Kristopher A. Margrave, Gary F. Li, Junxiao Fang, Xinding Fehler, Michael Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Fehler, Michael C Fang, Xinding In seismic full-waveform inversion (FWI), subsurface parameters are estimated by iteratively minimizing the difference between the modeled and the observed data. We have considered the problem of estimating the elastic constants of a fractured medium using multiparameter FWI and modeling naturally fractured reservoirs as equivalent anisotropic media. Multiparameter FWI, although promising, remains exposed to a range of challenges, one being the parameter crosstalk problem resulting from the overlap of Fréchet derivative wavefields. Parameter crosstalk is strongly influenced by the form of the scattering pattern for each parameter. We have derived 3D radiation patterns associated with scattering from a range of elastic constants in general anisotropic media. Then, we developed scattering patterns specific to a horizontal transverse isotropic (HTI) medium to draw conclusions about parameter crosstalk in FWI. Bare gradients exhibit crosstalk, as well as artifacts caused by doubly scattered energy in the data residuals. The role of the multiparameter Gauss-Newton (GN) Hessian in suppressing parameter crosstalk is revealed. We have found that the second-order term in the multiparameter Hessian, which is associated with multiparameter second-order scattering effects, can be constructed with the adjoint-state technique. We have examined the analytic scattering patterns for HTI media with a 2D numerical example. We have examined the roles played by the first- and second-order terms in multiparameter Hessian to suppress parameter crosstalk and second-order scattering artifacts numerically. We have also compared the multiparameter GN and full-Newton methods as methods for determining the elastic constants in HTI media with a two-block-layer model. Consortium for Research in Elastic Wave Exploration Seismology Natural Sciences and Engineering Research Council of Canada (Grant CRDPJ 461179-13) 2017-02-14T19:35:19Z 2017-02-14T19:35:19Z 2016-07 2016-03 Article http://purl.org/eprint/type/JournalArticle 0016-8033 1942-2156 http://hdl.handle.net/1721.1/106926 Pan, Wenyong et al. “Estimation of Elastic Constants for HTI Media Using Gauss-Newton and Full-Newton Multiparameter Full-Waveform Inversion.” GEOPHYSICS 81.5 (2016): R275–R291. © 2016 Society of Exploration Geophysicists https://orcid.org/0000-0002-8814-5495 en_US http://dx.doi.org/10.1190/geo2015-0594.1 GEOPHYSICS Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Society of Exploration Geophysicists Society of Exploration Geophysicists |
| spellingShingle | Pan, Wenyong Innanen, Kristopher A. Margrave, Gary F. Li, Junxiao Fang, Xinding Fehler, Michael Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion |
| title | Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion |
| title_full | Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion |
| title_fullStr | Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion |
| title_full_unstemmed | Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion |
| title_short | Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion |
| title_sort | estimation of elastic constants for hti media using gauss newton and full newton multiparameter full waveform inversion |
| url | http://hdl.handle.net/1721.1/106926 https://orcid.org/0000-0002-8814-5495 |
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