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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: 传统逆时偏移方法忽视了海森矩阵(假设其为单位阵)的影响,其结果存在振幅失真、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,但现有稀疏约束方法忽略了地震照明的空间差异性,在弱照明区域容易将有效弱反射构造误判为噪声并加以抑制,导致深层及复杂构造区域成像信息缺失。针对该问题,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。该方法利用地震波照明能量构建空变稀疏约束参数,在强照明区域增强约束以抑制噪声和偏移伪影,在弱照明区域减弱约束强度,从而有效保护深层及阴影区中的弱反射结构;同时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。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,该方法能够更有效地恢复弱照明区域的构造细节,提高复杂构造区域的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: Conventional reverse time migration (RTM) suffers from amplitude distortion and insufficient resolution due to the approximation of the Hessian matrix as an identity matrix. Image-domain least-squares reverse time migration (LSRTM) with sparse regularization can effectively improve imaging resolution. However, existing sparse-regularized LSRTM methods generally neglect the spatial variability of seismic illumination. In poorly illuminated regions, weak but valid reflections are prone to being misidentified as noise and excessively suppressed, leading to the loss of deep and complex structural information. To address this issue, we propose an image-domain LSRTM method based on illumination-guided sparse regularization and total variation (TV) regularization. The proposed method utilizes seismic illumination energy to construct spatially varying sparse regularization parameters. Stronger regularization is imposed in well-illuminated regions to suppress noise and migration artifacts, whereas weaker regularization is applied in poorly illuminated regions to preserve weak reflection structures in deep and shadow zones. In addition, TV regularization is incorporated to enhance structural continuity and boundary preservation in complex geological settings. Tests on the Sigsbee2A model and field seismic data demonstrate that, compared with conventional image-domain LSRTM methods, the proposed method more effectively recovers structural details in poorly illuminated regions and improves both structural continuity and imaging resolution in complex geological environments, showing promising potential for practical applications.

       

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