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    基于地震波照明引导稀疏约束和TV正则化的成像域最小二乘逆时偏移

    Image-domain least-squares reverse time migration with illumination-guided sparse constraint and TV regularization

    • 摘要: 传统逆时偏移成像结果受海森矩阵影响,存在振幅失真、分辨率不足等问题。基于稀疏约束的成像域最小二乘逆时偏移能够有效提高成像分辨率,但在复杂构造条件下,传统稀疏约束容易压制弱照明区域的有效弱反射,导致构造信息缺失。针对该问题,本文提出一种基于地震波照明引导稀疏约束与全变差正则化的成像域最小二乘逆时偏移方法。首先,利用地震波照明能量构建空间自适应稀疏约束参数,在强照明区域增强稀疏约束,在弱照明区域减弱稀疏约束强度,以保护深层及阴影区中的有效弱反射结构。其次,引入全变差正则化约束,提高复杂构造区域成像结果的结构连续性与边界保持能力。最后,基于交替方向乘子法推导了目标函数求解流程,实现高效反演。Sigsbee2A模型数据和实际数据测试结果表明,与传统成像域最小二乘逆时偏移方法相比,所提方法能够有效提高弱照明区域构造连续性和成像分辨率,在复杂地质条件下具有较好的应用潜力。

       

      Abstract: Traditional reverse time migration (RTM) is essentially the adjoint operation of the wave-equation forward modeling operator, and its imaging results are affected by the Hessian matrix, resulting in amplitude distortion and limited resolution. Image-domain least-squares reverse time migration (LSRTM) with sparse regularization can effectively improve image resolution; however, under complex geological conditions, conventional uniform sparse regularization tends to suppress weak but valid reflections in poorly illuminated regions, leading to structural information loss. To address this issue, we propose an image-domain LSRTM method based on illumination-guided sparse regularization and total variation (TV) regularization. First, seismic illumination energy is used to construct spatially adaptive sparse regularization parameters. Stronger sparse constraints are applied in well-illuminated regions, while weaker constraints are assigned to poorly illuminated regions to preserve valid weak reflections in deep and shadow zones. Second, TV regularization is introduced to improve structural continuity and preserve boundaries in complex geological structures. Finally, the optimization problem is solved using the alternating direction method of multipliers (ADMM) for efficient inversion. Tests on the Sigsbee2A model and field data demonstrate that, compared with conventional image-domain LSRTM, the proposed method effectively improves structural continuity and imaging resolution in weakly illuminated regions, showing strong potential for application in complex geological settings.

       

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