A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration
Three-dimensional wave-equation migration techniques are still quite expensive because of the huge matrices that need to be inverted. Several techniques have been proposed to reduce this cost by splitting the full 3D problem into a sequence of 2D problems. We compare the performance of splitting tec...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Geophysics |
| Online Access: | http://dx.doi.org/10.1155/2011/714781 |
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| author | Jessé C. Costa Débora Mondini Jörg Schleicher Amélia Novais |
| author_facet | Jessé C. Costa Débora Mondini Jörg Schleicher Amélia Novais |
| author_sort | Jessé C. Costa |
| collection | DOAJ |
| description | Three-dimensional wave-equation migration techniques are still quite expensive because of the huge matrices that need to be inverted. Several techniques have been proposed to reduce this cost by splitting the full 3D problem into a sequence of 2D problems. We compare the performance of splitting techniques for stable 3D Fourier finite-difference (FFD) migration techniques in terms of image quality and computational cost. The FFD methods are complex Padé FFD and FFD plus interpolation, and the compared splitting techniques are two- and four-way splitting as well as alternating four-way splitting, that is, splitting into the coordinate directions at one depth and the diagonal directions at the next depth level. From numerical examples in homogeneous and inhomogeneous media, we conclude that, though theoretically less accurate, alternate four-way splitting yields results of comparable quality as full four-way splitting at the cost of two-way splitting. |
| format | Article |
| id | doaj-art-e966f1f4ca1444bb91f9ec9c23c8ef72 |
| institution | Kabale University |
| issn | 1687-885X 1687-8868 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Geophysics |
| spelling | doaj-art-e966f1f4ca1444bb91f9ec9c23c8ef722025-02-03T06:13:07ZengWileyInternational Journal of Geophysics1687-885X1687-88682011-01-01201110.1155/2011/714781714781A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference MigrationJessé C. Costa0Débora Mondini1Jörg Schleicher2Amélia Novais3Faculty of Geophysics, Federal University of Pará, 66075-110 Belém, PA, BrazilNational Institute of Petroleum Geophysics (INCT-GP), BrazilDMA/IMECC, University of Campinas, 13083-859 Campinas, SP, BrazilDMA/IMECC, University of Campinas, 13083-859 Campinas, SP, BrazilThree-dimensional wave-equation migration techniques are still quite expensive because of the huge matrices that need to be inverted. Several techniques have been proposed to reduce this cost by splitting the full 3D problem into a sequence of 2D problems. We compare the performance of splitting techniques for stable 3D Fourier finite-difference (FFD) migration techniques in terms of image quality and computational cost. The FFD methods are complex Padé FFD and FFD plus interpolation, and the compared splitting techniques are two- and four-way splitting as well as alternating four-way splitting, that is, splitting into the coordinate directions at one depth and the diagonal directions at the next depth level. From numerical examples in homogeneous and inhomogeneous media, we conclude that, though theoretically less accurate, alternate four-way splitting yields results of comparable quality as full four-way splitting at the cost of two-way splitting.http://dx.doi.org/10.1155/2011/714781 |
| spellingShingle | Jessé C. Costa Débora Mondini Jörg Schleicher Amélia Novais A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration International Journal of Geophysics |
| title | A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration |
| title_full | A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration |
| title_fullStr | A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration |
| title_full_unstemmed | A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration |
| title_short | A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration |
| title_sort | comparison of splitting techniques for 3d complex pade fourier finite difference migration |
| url | http://dx.doi.org/10.1155/2011/714781 |
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