海洋科学进展
基于时间分解的多波束常梯度声线跟踪方法
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国家自然科学基金项目——基于侧扫声呐测量信息的海底地貌图像、地形和底质一体化获取理论与方法(42176186)


Multibeam Constant Gradient Sound Ray Tracking Method Based on Time Decomposition
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    摘要:

    针对多波束常梯度声线跟踪计算耗时和声速剖面简化导致计算精度下降的问题,在对多波束常梯度声线跟踪理论进行分析的基础上,提出了一种基于时间分解的常梯度声线跟踪方法。将波束在层内的传播时间分解为与波束入射角无关的固定项和有关的变化项,固定项对于每个声速剖面仅需计算一次,对变化项采用麦克劳林公式展开得到其一阶近似,简化了层内传播时间和水平位移的计算;同时仅对变化项应用简化的声速剖面,降低剩余传播时间计算误差。实验结果证明当波束角小于50°、层间距小于50 m或上下层声速差小于20 m/s时,近似模型与常梯度算法精度相当,时间分解法在声速剖面层间距增大时能显著提高声线跟踪的精度。

    Abstract:

    In view of the calculation time-consuming of multibeam constant gradient sound ray tracking and the reduction of the calculation accuracy due to the simplified sound velocity profile, based on the analysis of the multibeam constant gradient sound ray tracking theory, a method based on time decomposition is proposed. The tracking method is to decompose the propagation time of the beam in the layer into a fixed term which is independent of the beam incidence angle and related variable terms. The fixed term only needs to be calculated once for each sound velocity profile, and the first order approximation of variable term is obtained by using McLaughlin ’s expansion. The order approximation simplifies the calculation of the propagation time and the horizontal displacement in the layer, and at the same time the simplified sound velocity profile is only applied to the variable term to reduce the calculation error of the remaining time. Experimental results show that when the beam angle and layer spacing or sound velocity difference between upper and lower layer is less than 50° and 50 m or 20 m/s respectively, the approximate model has the same accuracy as the constant gradient algorithm. The time decomposition model can significantly improve the accuracy of sound ray tracking when the layer spacing of the sound velocity profile increases.

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胡俊,李治远,豆虎林,吴永亭.基于时间分解的多波束常梯度声线跟踪方法[J].海洋科学进展,2023,41(1):1-10

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  • 收稿日期:2022-01-19
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  • 在线发布日期: 2022-10-24
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