The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration
In this paper, the combined compact difference scheme (CCD) and the combined supercompact difference scheme (CSCD) are used in the numerical simulation of the shear-wave equation. According to the Taylor series expansion and shear-wave equation, the fourth-order discrete scheme of the displacement f...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/14/7047 |
| _version_ | 1797441067687084032 |
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| author | Chengyao Zhou Wei Wu Pengyuan Sun Wenjie Yin Xiangyang Li |
| author_facet | Chengyao Zhou Wei Wu Pengyuan Sun Wenjie Yin Xiangyang Li |
| author_sort | Chengyao Zhou |
| collection | DOAJ |
| description | In this paper, the combined compact difference scheme (CCD) and the combined supercompact difference scheme (CSCD) are used in the numerical simulation of the shear-wave equation. According to the Taylor series expansion and shear-wave equation, the fourth-order discrete scheme of the displacement field is established; then, the CCD and CSCD schemes are used to calculate the spatial derivative of the displacement field. Additionally, the accuracy, dispersion, and stability of the CCD and CSCD are analyzed, and numerical simulation analyses are carried out using 1D uniform models. Lastly, based on the processing of artificial boundary reflection using PML boundary conditions, shear-wave reverse-time migrations are carried out using synthetic data. The results show that (1) CCD and CSCD have smaller truncation errors, higher simulation precision, and lower numerical dispersion than other normal difference schemes; (2) CCD and CSCD can use the coarse grid and larger time step to calculate, with less memory and high computational efficiency; (3) finally, the result of the shear-wave reverse-time migration of the 2D synthetic data model show that the reverse-time migration imaging is clear, and the proposed method for shear-wave reverse-time migration is practical and effective. |
| first_indexed | 2024-03-09T12:17:35Z |
| format | Article |
| id | doaj.art-32b0865474734fe8b154801537458566 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T12:17:35Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-32b0865474734fe8b1548015374585662023-11-30T22:44:19ZengMDPI AGApplied Sciences2076-34172022-07-011214704710.3390/app12147047The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time MigrationChengyao Zhou0Wei Wu1Pengyuan Sun2Wenjie Yin3Xiangyang Li4State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum (Beijing), Beijing 102249, ChinaBGP Inc., China National Petroleum Corporation, Beijing 100088, ChinaBGP Inc., China National Petroleum Corporation, Beijing 100088, ChinaBGP Inc., China National Petroleum Corporation, Beijing 100088, ChinaState Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum (Beijing), Beijing 102249, ChinaIn this paper, the combined compact difference scheme (CCD) and the combined supercompact difference scheme (CSCD) are used in the numerical simulation of the shear-wave equation. According to the Taylor series expansion and shear-wave equation, the fourth-order discrete scheme of the displacement field is established; then, the CCD and CSCD schemes are used to calculate the spatial derivative of the displacement field. Additionally, the accuracy, dispersion, and stability of the CCD and CSCD are analyzed, and numerical simulation analyses are carried out using 1D uniform models. Lastly, based on the processing of artificial boundary reflection using PML boundary conditions, shear-wave reverse-time migrations are carried out using synthetic data. The results show that (1) CCD and CSCD have smaller truncation errors, higher simulation precision, and lower numerical dispersion than other normal difference schemes; (2) CCD and CSCD can use the coarse grid and larger time step to calculate, with less memory and high computational efficiency; (3) finally, the result of the shear-wave reverse-time migration of the 2D synthetic data model show that the reverse-time migration imaging is clear, and the proposed method for shear-wave reverse-time migration is practical and effective.https://www.mdpi.com/2076-3417/12/14/7047shear wavereverse-time migrationcombined supercompact difference schemecombined compact difference schemenumerical simulation |
| spellingShingle | Chengyao Zhou Wei Wu Pengyuan Sun Wenjie Yin Xiangyang Li The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration Applied Sciences shear wave reverse-time migration combined supercompact difference scheme combined compact difference scheme numerical simulation |
| title | The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration |
| title_full | The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration |
| title_fullStr | The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration |
| title_full_unstemmed | The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration |
| title_short | The Combined Compact Difference Scheme Applied to Shear-Wave Reverse-Time Migration |
| title_sort | combined compact difference scheme applied to shear wave reverse time migration |
| topic | shear wave reverse-time migration combined supercompact difference scheme combined compact difference scheme numerical simulation |
| url | https://www.mdpi.com/2076-3417/12/14/7047 |
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