一种基于L1-L1范数稀疏表示的地震反演方法

石战战, 夏艳晴, 周怀来, 王元君, 唐湘蓉

Seismic reflectivity inversion based on L1-L1-norm sparse representation

Zhan-Zhan SHI, Yan-Qing XIA, Huai-Lai ZHOU, Yuan-Jun WANG, Xiang-Rong TANG

图4 楔形模型反演反射系数对比分析 a—1%随机噪声和1%异常值条件下传统算法反演结果;b—1%随机噪声和1%异常值条件下L1-L1范数稀疏表示反演结果;c—5%随机噪声和5%异常值条件下传统算法反演结果;d—5%随机噪声和5%异常值条件下噪声L1-L1范数稀疏表示反演结果

Fig.4 Comparative analysis of inverted reflectivity of wedge model a—traditional algorithm inversion results under the condition of 1% random noise and 1% outliers;b—L1-L1 norm sparse representation inversion results under the condition of 1% random noise and 1% outliers;c—traditional algorithm inversion results under the condition of 5% random noise and 5% outliers;d—L1-L1 norm sparse representation inversion results under the condition of 5% random noise and 5% outliers