Research on Multi Beam Sounding Based on Spatial Position Relationship and Backtracking Algorithm

The multi beam depth measurement system is an efficient underwater terrain measurement method, which has wide applications in marine terrain surveys, underwater archaeology, and other fields. Therefore, exploring the problem of multi beam survey lines is of great research significance for the exploration of marine disciplines. This article mainly uses SketChup for drawing. With the help of mathematical geometry and triangle theory, a seawater depth calculation model, a coverage width calculation model, and an optimal survey line design model are constructed. The indicator values of each measurement point are solved using Python. This paper establishes a mathematical model for the coverage width of multi beam depth measurement and the overlaps rate between adjacent bands. Firstly, the spatial structure is analyzed as a planar Fig. Then, this paper uses a plan for geometric analysis to obtain right angled triangles with similar ratios. Through physical analysis, a seawater depth measurement model was established. Then, geometric analysis is performed using the obtained planar Fig to obtain a right angled triangle with similar ratios. Then, a depth measurement model for seawater is obtained through physical angle analysis. The coverage width measurement model and the repetition rate measurement model are established using the sine theorem and equal substitution. Finally, using Python, we calculate the index values for the listed positions with an open angle of 120°, a slope of 1.5°, and a center point seawater depth of 70m. For example, the depth, coverage width, and overlap rate of the measuring line at a distance of 200m from the center point are 64.763m, 224.885m, and 13.837%, respectively.