GNGTS 2014 - Atti del 33° Convegno Nazionale

68 GNGTS 2014 S essione 3.1 a conjugate direction updating. We applied the algorithm on a 3D marine seismic data set. Numerical experiments show that our CGPmethod gives results which are comparable, in terms of accuracy, to the ones of a well-acquainted method as the MP is, both on complex geologic seismic data and strongly irregularly sampled data. On the other hand, performed experiments have demonstrated a large gain in efficiency of the new method when compared to the MP. Acknowledgements. We would like to thank eni E&P Division for the permission to show data and to publish this paper. References Abma R., and J. Claerbout, 1995, Lateral prediction for noise attenuation by t-x and F-X techniques: Geo- physics, 60, 1887–1896. AdamoA., P. Mazzucchelli, and N. Bienati, 2014, Weak orthogonal matching pursuit with geophysical atom selection: 76th Conference and Exhibition, EAGE, Extended Abstracts, P0113. Bleistein N., and H. Jaramillo, 2000, A platform for kirchhoff data mapping in scalar models of data acquisition: Geophysical Prospecting, 48, 135–161. Blumensath T., and M. E. Davies, 2009, Stagewise weak gradient pursuit: IEEE Transaction on Signal Processing, 57, 4333–4346. Canning A., and G. H. F. Gardner, 1996, Regularizing 3-D data sets with DmO: Geophysics, 61, 1103–1114. (Discussion and reply in GEO-62-4-1331). DuijndamA. J. W., M. A. Schonewille, and C. O. H. Hindriks, 1999, Reconstruction of band-limited signals, irregularly sampled along one spatial direction: Geophysics, 64, 524–538. Fomel S., 2003, Seismic reflection data interpolation with differential offset and shot continuation: Geophysics, 68, 733–744. Hollander Y., D. Kosloff, Z. Koren, and A. Bartana, 2012, Seismic data interpolation by orthogonal matching pursuit: 74th Conference and Exhibition, EAGE, Extended Abstracts, B032. Mallat S. G., and Z. Zhang, 1993, Matching pursuit with time-frequency dictionaries: IEEE Transaction on Signal Processing, 41, 3397–3415. Mazzucchelli P., F. Rocca, U. Spagnolini, and S. Spitz, 1998, Wavefield Interpolation - Continuation or Prediction Filter Techniques?: 60th Conference and Exhibition, EAGE, Extended Abstracts, 02–51. Nguyen T., and R. Winnett, 2011, Seismic interpolation by optimally matched fourier components: 81st Annual International Meeting, SEG, Expanded Abstracts, 3085–3089. Özbek A., A. K. Özdemir, and M. Vassallo, 2009, Interpolation by matching pursuit: 79th Annual International Meeting, SEG, Expanded Abstracts, 3254–3258. Sacchi M. D., and T. J. Ulrych, 1995, High-resolution velocity gathers and offset space reconstruction: Geophysics, 60, 1169–1177. Schonewille M., A. Klaedtke, and A. Vigner, 2009, Antialias anti-leakage fourier transform: 79th Annual International Meeting, SEG, Expanded Abstracts, 3249–3253. Spitz S., 1991, Seismic trace interpolation in the F-X domain: Geophysics, 56, 785–794. Stolt R. H., 2002, Seismic data mapping and reconstruction: Geophysics, 67, 890–908. Tropp J. A., and A. C. Gilbert, 2007, Signal recovery from random measurements via orthogonal matching pursuit: IEEE Transaction on Information Theory, 53, 4655–4666. Xu S., and D. Pham, 2004, Seismic data regularization with anti-leakage fourier transform: 66th Conference and Exhibition, EAGE, Extended Abstracts, D032. Table 1 - Algorithms setting and performances. number of components maximum number execution time per iteration of iterations soft upsampling MP 1 1000 3 h 13 m CGP 50% 2 5 m soft upsampling and MP 1 1000 2 h 8 m missing traces infilling CGP 0.1% ≈ 1 40 36 m hard upsampling MP 1 1000 7 h 2 m CGP 50% 2 19 m