Elimination of Multiple Scattering for Thin Layers Based on the Lie Algebra Integral
详细信息
- 责任者：Shi Xiaodong (Key Laboratory of Petroleum Resources Research ; Institute of Geology and Geophysics ; Chinese Academy of Sciences ; Beijing 100029 ; China) ; Liu Hong
- 刊名：Chinese Journal of Geophysics
- 出版年：2013
- 卷期：56(7)
- 关键词：地震勘探 ; seismic exploration ; 滤波 ; filters
- 页码：p.2437-2446
- 图表：10 illus., 20 refs.
- 分类号：1600
- issnNo：ISSN0001-5733
- isbnNo：CN11-2074/P
摘要
Q-compensation and predictive deconvolution are usually used for the elimination of multiple scattering for thin layers.But both of them have some disadvantages,the former is often instable or may enhance the high frequency noise,and the latter which is based on the Levinson algorithm is also instable when the order of autoregressive(AR) filter is bigger than 12 and may do harm to the primary seriously.In this paper we present the Picard iterative inversion algorithm to eliminate the stratigraphic filtering effect.Firstly,we suggest a new method called Lie algebra integral by putting the exponent solution to the prediction operator equation,then the expression of the relationship between the prediction operator and the reflection coefficients of sedimentary sequence is given.O′ Doherty-Anstey is just the first order of this expression while the high order of the Lie algebra integral is the correction to the first order.Based on this expression,we suggest the Picard iterative inversion method to recover the primary from the prediction operator and mainly focus on the effect of different order Lie algebra in inversion.Model test and the practical application show that the inversion result about high order Lie algebra integral is better than that of low order Lie algebra integral.What′s more,the Picard iterative inversion algorithm is fast,stable and convergent.