中文摘要：

利用伴随算子L^＊，直接的偏移方法通常导致一个低分辨率或模糊的地震成像．线性化偏移反演方法需求解一个最小二乘问题．但直接的最小二乘方法的数值不稳定，为目视解译带来困难．本文建立约束正则化数学模型，研究了地震偏移反演成像问题的迭代正则化求解方法．首先对最小二乘问题施加正则化约束，接着利用梯度迭代法求解反演成像问题，特别是提出了共轭梯度方法的混合实现技巧．为了表征该方法的可实际利用性，分别对一维，二维和三维地震模型进行了数值模拟．结果表明该正则偏移反演成像方法是有效的，对于实际的地震成像问题有着良好的应用前景．

英文摘要：

In this paper, we consider continuous solution methods for migration deconvolution imaging in seismic inverse problems. Direct migration methods, using the adjoint operator L＊ , usually yield a lower resolution or blurred image. Linearized migration deconvolution requires solving a least-squares migration （LSM） problem. However, we notice that the direct LSM method is unstable in computation which is a severe obstacle for visual explanation. We study regularized mathematical model. We first formulate the problem by incorporating regularizing constraints, and then employ iterative gradient methods for migration deconvolution and imaging. A hybrid gradient technique for ill-posed migration in verse problem is proposed. To show the potential for application of the proposed method, we use synthetic one-, two- and three-dimensional seismograms for seismic migration inversion. Numerical performance indicates that the proposed method is very promising for practical seismic migration imaging.