摘要：Nonstationary seismic data can be expressed using a linear matrix-vector multiplication system derived from wave theory when anelastic effects of the earth can be quantified by the intrinsic quality factor (or Q) and Q is frequency independent in the seismic bandwidth. On the basis of the linear modeling system and singular value decomposition, we have assessed the stability using weights associated with the left singular vectors, data, and singular values, and we assessed the compensation/resolution limitation of inversion-based deabsorption using the right singular vectors. In addition, a stable inversion-based multitrace deabsorption method was developed by minimizing the l(1)-norm of coefficients in the frequency-wavenumber (f-k) domain of reflectivity subject to the time-domain nonstationary data misfit. The optimum deabsorption result can be obtained by sequentially solving a series of lasso subproblems until the stopping condition is reached. As the number of solving lasso subproblems increases, the role of f-k magnitude sparsity constraint relative to data-misfit gradually decreases. In this way, the proposed method can highlight the spatial continuities and reduce the influence of noise on the updated result during starting iterations due to f-k magnitude sparsity, whereas compensate details including some discontinuities of events and weak reflections during later iterations due to the dominant role of data misfit. We tested the method on a series of data sets, including a synthetic data set, a physical modeling data set, and a field data set. Our results determined that the proposed method can provide stable compensation results, even in the presence of coherent noise and/or strong random noise. Compared with the trace-by-trace l(1)-norm regularization deabsorption method, our method performed better in spatial continuity preservation and weak signal compensation.

关键字：IMPEDANCE INVERSION Q-FILTER NONSTATIONARY DECONVOLUTION ATTENUATION COMPENSATION ABSORPTION-COMPENSATION DEPTH RESOLUTION REFLECTIVITY SEPARATION TRANSFORM PRIMARIES

ISSN号：0016-8033

卷、期、页：卷: 81 期: 3 页: V199-V212

发表日期：2016-05-01

期刊分区（SCI为中科院分区）：三区

收录情况：SCI（科学引文索引印刷版）,ESI（基本科学指标数据库）,EI（工程索引）,SCIE（科学引文索引网络版）

发表期刊名称：GEOPHYSICS

参与作者：田楠,王宗俊

第一作者：袁三一,王尚旭

论文类型：期刊论文

论文概要：袁三一,王尚旭,田楠,王宗俊，Stable inversion-based multitrace deabsorption method for spatial continuity preservation and weak signal compensation，GEOPHYSICS，2016，卷: 81 期: 3 页: V199-V212

论文题目：Stable inversion-based multitrace deabsorption method for spatial continuity preservation and weak signal compensation