Análisis de estática residual en sísmica de reflexión desde el punto de vista de teoría inversa
Main Article Content
Abstract
Even after proper field static corrections are applied, the lack of continuity in the reflection horizons in a seismic section can be attributed to residual static effects produced by lateral heterogeneities, topographic irregularities and/or changes in the velocity of the weathered layer. We have developed algorithms to obtain and apply residual statics corrections to seismic sections. The problem was tackled from the point of view of inverse theory. The algorithms have been tested using synthetic seismograms, generated from denoted as "pilot trace", which uses arrival times from Common Midpoint (CMP) gathers. We evaluate the associated time anomalies for the source, the receiver and the structure at depth, with respect to the estimated times obtained from the inversion of the data. A regularized version of the minimum square estimator gave excellent results for the models studied.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
References
BOOKER, A. H., A. F. LINVILLE and C. B. WASON, 1976. Long wavelength static estimation. Geophysics, 41. 5, 939 - 959. DOI: https://doi.org/10.1190/1.1440673
CERVENY, V. and I. PSENCIK, 1983. SEIS83 Numerical modeling of seismic wave fields in 2-D laterally varying layered structures by the ray method. Computer algorithm.
HATTON, L., M. WORTHINGTON and J. MAKIN, 1986. Seismic data processing. Theory and Practice. Blackwell Scientific Publications Oxford. 177 pp.
HENKART, P., 1985. SIOSEIS seismic analysis package SIO algorithm computer.
HUBER, P., 1981. Robust statistics, New York, Wiley. 235 pp. DOI: https://doi.org/10.1002/0471725250
LANCZOS, C., 1961. Linear differential operators. Van-Nostrand Co. Ltd., London, 100-158.
LINES, L. R. and S. TREITEL, 1984. Tutorial: A review of least-squares inversion and its application to geophysical problems. Geophysical Prospecting. 32, 159 - 186. DOI: https://doi.org/10.1111/j.1365-2478.1984.tb00726.x
MARCOUX, M. O., 1981. On the resolution of statics, structure, and residual normal move out. Geophysics. 46, 7, 984-993. DOI: https://doi.org/10.1190/1.1441247
MARQUARDT, D., 1970. Generalized inverses, ridge regression, biased linear estimation and nonlinear estimation. Technometrics. 12, 3, 591 - 569. DOI: https://doi.org/10.1080/00401706.1970.10488699
RONEN, J. and J. F. CLAREBOUT, 1985. Surface consistant residual statics estimation by stack-power maximization. Geophysics. 50, 2759 - 2767. DOI: https://doi.org/10.1190/1.1441896
ROTHMAN, D. H., 1986. Automatic estimation of large residual statics corrections. Geophysics. 51, 332 - 346. DOI: https://doi.org/10.1190/1.1442092
SANTOSA, F. and W. W. SYMES, 1989. An analysis of least-squares velocity inversion. Society of Exploration Geophysicists, Tulsa, Oklahoma. 154 pp. DOI: https://doi.org/10.1190/1.9781560802488
TANER, M. T., F. KOEHLER and K. A. ALHILALI, 1974. Estimation and correction of near-surface time anomalies. Geophysics, 39, 4, 441 - 463. DOI: https://doi.org/10.1190/1.1440441
TANER, M. T. and F. KOEHLER, 1981. Surface consistent corrections. Geophysics, 46, 1, 17 - 22. DOI: https://doi.org/10.1190/1.1441133
WIGGINS, R. A., K. L. LARNER and R. D. WISECUP, 1976. Residual static analysis as a general linear inverse problem. Geophysics, 41, 5, 922 - 938. DOI: https://doi.org/10.1190/1.1440672
YILMAZ, O., 1987. Seismic data processing. Doherty S. M. (Ed.). Society of Exploration Geophysics, Tulsa, Ok. 256 pp.