Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation
This study considers the full waveform inversion (FWI) method based on the asymptotic solution of the Helmholtz equation. We provide frequency-dependent ray tracing to obtain the wave field used to compute the FWI gradient and calculate the modeled data. With a comparable quality of the inverse prob...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-01-01
|
| Series: | Geosciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3263/13/1/19 |
| _version_ | 1797441943537451008 |
|---|---|
| author | Maxim Protasov Kirill Gadylshin Dmitry Neklyudov Ludek Klimes |
| author_facet | Maxim Protasov Kirill Gadylshin Dmitry Neklyudov Ludek Klimes |
| author_sort | Maxim Protasov |
| collection | DOAJ |
| description | This study considers the full waveform inversion (FWI) method based on the asymptotic solution of the Helmholtz equation. We provide frequency-dependent ray tracing to obtain the wave field used to compute the FWI gradient and calculate the modeled data. With a comparable quality of the inverse problem solution as applied to the standard finite difference approach, the speed of the calculations in the asymptotic method is an order of magnitude higher. A series of numerical experiments demonstrate the approach’s effectiveness in reconstructing the macro velocity structure of complex media for low frequencies. |
| first_indexed | 2024-03-09T12:34:31Z |
| format | Article |
| id | doaj.art-1602aa9b0dc7461a8023fc3177dc2540 |
| institution | Directory Open Access Journal |
| issn | 2076-3263 |
| language | English |
| last_indexed | 2024-03-09T12:34:31Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Geosciences |
| spelling | doaj.art-1602aa9b0dc7461a8023fc3177dc25402023-11-30T22:26:01ZengMDPI AGGeosciences2076-32632023-01-011311910.3390/geosciences13010019Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz EquationMaxim Protasov0Kirill Gadylshin1Dmitry Neklyudov2Ludek Klimes3Institute of Petroleum Geology and Geophysics, Siberian Branch of The Russian Academy of Sciences, 630090 Novosibirsk, RussiaInstitute of Petroleum Geology and Geophysics, Siberian Branch of The Russian Academy of Sciences, 630090 Novosibirsk, RussiaInstitute of Petroleum Geology and Geophysics, Siberian Branch of The Russian Academy of Sciences, 630090 Novosibirsk, RussiaDepartment of Geophysics, Faculty of Mathematics and Physics, Charles University, 180 00 Prague, Czech RepublicThis study considers the full waveform inversion (FWI) method based on the asymptotic solution of the Helmholtz equation. We provide frequency-dependent ray tracing to obtain the wave field used to compute the FWI gradient and calculate the modeled data. With a comparable quality of the inverse problem solution as applied to the standard finite difference approach, the speed of the calculations in the asymptotic method is an order of magnitude higher. A series of numerical experiments demonstrate the approach’s effectiveness in reconstructing the macro velocity structure of complex media for low frequencies.https://www.mdpi.com/2076-3263/13/1/19full waveform inversionasymptoticfrequency-dependent raysHelmholtz equation |
| spellingShingle | Maxim Protasov Kirill Gadylshin Dmitry Neklyudov Ludek Klimes Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation Geosciences full waveform inversion asymptotic frequency-dependent rays Helmholtz equation |
| title | Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation |
| title_full | Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation |
| title_fullStr | Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation |
| title_full_unstemmed | Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation |
| title_short | Full Waveform Inversion Based on an Asymptotic Solution of Helmholtz Equation |
| title_sort | full waveform inversion based on an asymptotic solution of helmholtz equation |
| topic | full waveform inversion asymptotic frequency-dependent rays Helmholtz equation |
| url | https://www.mdpi.com/2076-3263/13/1/19 |
| work_keys_str_mv | AT maximprotasov fullwaveforminversionbasedonanasymptoticsolutionofhelmholtzequation AT kirillgadylshin fullwaveforminversionbasedonanasymptoticsolutionofhelmholtzequation AT dmitryneklyudov fullwaveforminversionbasedonanasymptoticsolutionofhelmholtzequation AT ludekklimes fullwaveforminversionbasedonanasymptoticsolutionofhelmholtzequation |