摘要：Due to the finite acquisition aperture and sampling of seismic data, the Radon transform (RT) suffers from a smearing problem which reduces the resolution of the estimated model. In addition, inverting the RT is typically an ill-posed problem. To address these challenges, a sparse Radon transform mixing the and norms of the RT coefficients in the mixed frequency-time domain is proposed, and is denoted as SRTL1-2. In most conventional sparse RTs, the sparse constraint term is often the norm of the Radon model. We prove that the sparsity effect of the minimization is better than that of the norm alone by comparing and analyzing their 2D distribution patterns and threshold functions. The difference of convex functions (DCA) and the alternating direction method of multipliers (ADMM) algorithms are modified by combining the forward and inverse Fourier transforms to solve the corresponding sparse inverse problem in the mixed frequency-time domain. The proposed method is compared with three RT methods, including a least squares RT (LSRT), a frequency domain sparse RT (FSRT) and a time-invariant RT in the mixed frequency-time domain based on an iterative 2D model shrinkage method (SRTIS). Furthermore, we modify the basis function in SRTL1-2 by including an orthogonal polynomial transform to fit the AVO signatures found in seismic data, we denoted this as high-order SRTL1-2. Compared with the SRTL1-2, the high-order SRTL1-2 performs better when processing seismic data with AVO signatures. Synthetic and real data examples indicate that the proposed method has better performance than the LSRT, FSRT and SRTIS in terms of attenuation of multiples, noise mitigation and computational efficiency. ? 2022 Society of Exploration Geophysicists.

ISSN号：0016-8033

卷、期、页：卷87 期5：545-558

发表日期：2022-07-05

影响因子：2.928500

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）,地学领域高质量科技期刊分级目录（国外T1）,EI（工程索引）,SCIE（科学引文索引网络版）

发表期刊名称：Geophysics

通讯作者：耿伟恒,汤韦,吴凡

第一作者：陈小宏,李景叶,马继涛

论文类型：期刊论文

论文概要：耿伟恒,陈小宏,李景叶,马继涛,汤韦,吴凡，Sparse Radon transform in the mixed frequency-time domain with L1-2minimization，Geophysics，2022，卷87 期5：545-558

论文题目：Sparse Radon transform in the mixed frequency-time domain with L1-2minimization