A PROPOSAL FOR REGULARIZED INVERSION FOR AN ILL-CONDITIONED DECONVOLUTION OPERATOR
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| Format: | Artículo científico |
| Langue: | en |
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ECOPETROL S.A.
2013
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| _version_ | 1876478551898718208 |
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| author | Herling Gonzalez |
| author_facet | Herling Gonzalez |
| contents | A PROPOSAL FOR REGULARIZED INVERSION FOR AN ILL-CONDITIONED DECONVOLUTION OPERATOR Herling Gonzalez Sheryl Avendaño German Camacho Ingeniería Theory inversion Seismic processing Conjugated gradient Tikhonov regularization F rom the inverse problem theory aspect, deconvolution can be understood as the linear inversion of an ill-posed and ill-conditioned problem. The ill-conditioned property of the deconvolution operator make the solution of inverse problem sensitive to errors in the data. Tikhonov regularization is the most commonly used method for stability and uniqueness of the solution. However, results from Tikhonov method do not provide sufficient quality when the noise in the data is strong. This work uses the conjugate gradient method applied to the Tikhonov deconvolution scheme, including a regularization parameter cal - culated iteratively and based on the improvement criterion of Morozov discrepancy applied on the objective function. Using seismic synthetic data and real stacked seismic data, we carried out a deconvolution process with regularization and without regularization based on a conjugated gradient algorithm. A comparison of results is also presented. Applying regularized deconvolution on synthetic data shows improved stability on the solution. Additionally, real post-stack seismic data shows a direct application for increasing the vertical resolution even with noisy data. 2013 artículo científico 0122-5383 https://www.redalyc.org/articulo.oa?id=46530513003 en http://www.redalyc.org/revista.oa?id=465 CT&F Ciencia, Tecnología y Futuro application/pdf ECOPETROL S.A. CT&F Ciencia, Tecnología y Futuro (Colombia) Num.3 Vol.5 |
| format | Artículo científico |
| id | redalyc_46530513003 |
| institution | Redalyc |
| language | en |
| publishDate | 2013 |
| publisher | ECOPETROL S.A. |
| spellingShingle | A PROPOSAL FOR REGULARIZED INVERSION FOR AN ILL-CONDITIONED DECONVOLUTION OPERATOR Herling Gonzalez Ingeniería Theory inversion Seismic processing Conjugated gradient Tikhonov regularization A PROPOSAL FOR REGULARIZED INVERSION FOR AN ILL-CONDITIONED DECONVOLUTION OPERATOR Herling Gonzalez Sheryl Avendaño German Camacho Ingeniería Theory inversion Seismic processing Conjugated gradient Tikhonov regularization F rom the inverse problem theory aspect, deconvolution can be understood as the linear inversion of an ill-posed and ill-conditioned problem. The ill-conditioned property of the deconvolution operator make the solution of inverse problem sensitive to errors in the data. Tikhonov regularization is the most commonly used method for stability and uniqueness of the solution. However, results from Tikhonov method do not provide sufficient quality when the noise in the data is strong. This work uses the conjugate gradient method applied to the Tikhonov deconvolution scheme, including a regularization parameter cal - culated iteratively and based on the improvement criterion of Morozov discrepancy applied on the objective function. Using seismic synthetic data and real stacked seismic data, we carried out a deconvolution process with regularization and without regularization based on a conjugated gradient algorithm. A comparison of results is also presented. Applying regularized deconvolution on synthetic data shows improved stability on the solution. Additionally, real post-stack seismic data shows a direct application for increasing the vertical resolution even with noisy data. 2013 artículo científico 0122-5383 https://www.redalyc.org/articulo.oa?id=46530513003 en http://www.redalyc.org/revista.oa?id=465 CT&F Ciencia, Tecnología y Futuro application/pdf ECOPETROL S.A. CT&F Ciencia, Tecnología y Futuro (Colombia) Num.3 Vol.5 |
| title | A PROPOSAL FOR REGULARIZED INVERSION FOR AN ILL-CONDITIONED DECONVOLUTION OPERATOR |
| topic | Ingeniería Theory inversion Seismic processing Conjugated gradient Tikhonov regularization |
| url | https://www.redalyc.org/articulo.oa?id=46530513003 |