Some processes in seismic imaging can be formulated as a coherence-based problem, such as common-reflection-surface (CRS) stacking. The approach consists of obtaining the CRS attributes that provide the best-fitting CRS surface in the multicoverage data. The problem can be described as an optimization problem and is solved by an optimization algorithm. In general, quick convergent optimization algorithms are local solvers. To obtain a global solution, an efficient strategy has been developed to be used combined with a trust-region local optimization method. This strategy can be divided into two features: the sequential parameter search and the spreading solution. The idea is to first find solutions on a coarse output grid by a sequential parameter search. This feature is based on constructing splines to estimate the maxima of the objective function in one dimension. These estimated maxima are the initial approximations to the local solver. The optimization algorithm obtains the parameters by sequentially solving 1D, 2D, and 3D problems. Once the solutions are found on the coarse grid, useful information is propagated in the neighborhood to obtain the solutions on all output grids. Although the idea of spreading a solution seems easy, its implementation is complex. It is essential to consider the properties of the problem as well as the properties of the optimization algorithm. Through some numerical experiments, the results using this strategy are shown. The use of sequential parameter search and spreading solution provides an improvement not only in the parameters but also in computational time.

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使用信任域优化方法进行全局解搜索的有效传播策略：在共反射表面堆叠问题中的应用

地震成像中的某些过程可以表述为基于相干性的问题，例如共反射面 (CRS) 叠加。该方法包括获取在多重覆盖数据中提供最佳拟合 CRS 表面的 CRS 属性。该问题可以描述为优化问题，并由优化算法解决。通常，快速收敛优化算法是局部求解器。为了获得全局解决方案，已经开发了一种有效的策略以与信任区域局部优化方法结合使用。该策略可以分为两个特征：顺序参数搜索和传播解决方案。这个想法是首先通过顺序参数搜索在粗输出网格上找到解决方案。该特征基于构造样条来估计一维目标函数的最大值。这些估计的最大值是局部求解器的初始近似值。优化算法通过依次求解 1D、2D 和 3D 问题来获得参数。一旦在粗网格上找到解决方案，有用的信息就会在邻域中传播以获得所有输出网格上的解决方案。尽管传播解决方案的想法看起来很简单，但它的实现却很复杂。必须考虑问题的性质以及优化算法的性质。通过一些数值实验，展示了使用该策略的结果。顺序参数搜索和传播解决方案的使用不仅在参数方面而且在计算时间方面提供了改进。