Optimization Model of Multibeam Line Placement Based on Geometric Relationship and Planning Solution

This article focuses on the issue of measuring line layout and control in seabed bathymetry using multi-beam bathymetric technology, aiming to optimize the measuring line layout and control of this technology. Through geometric relationships and planning solutions, the efficiency and accuracy of seabed bathymetry are improved. Three mathematical models are presented in this paper, firstly, the coverage width and overlap rate of multibeam bathymetry on a two-dimensional vertical section for the case of an inclined seafloor and the traveling direction of the survey vessel is parallel to the inclined plane and the sea level. Secondly, the mathematical model of coverage width and overlap rate of multibeam bathymetry in three-dimensional space is constructed by expanding it to the case that the survey vessel can travel in any direction. Finally, taking the specific case of an inclined seabed with arbitrary driving direction as the object, the direction, and spacing of the survey lines are solved by the planning model to realize the full coverage of the surveyed area and ensure that the overlap rate is within a reasonable range. The results of this research provide a scientific survey line deployment and control program for seabed bathymetry, which helps to improve the accuracy and efficiency of seabed topographic mapping. The simulation results show that it is most effective to lay the survey line when it is parallel to the seabed slope.