Abstract

The title of this paper is based on question B of Chinese College Students in 2023. It aims to derive the calculation formula of seawater depth, coverage width, and overlap rate between adjacent strips. The study explores the influence of the β direction angle of different measuring lines on coverage width and designs a group of measuring lines that can measure the shortest length and fully cover the sea area to be tested. With the advancement of China's marine development strategy, the acquisition of submarine topographic data, and the design and optimization of multi-beam sounding systems are crucial. Through mathematical derivation and geometric analysis, this paper successfully establishes a computational model of seawater depth, coverage width, and overlap rate, providing a practical theoretical basis and technical support. These research results are significant for improving the efficiency and quality of marine resources development and environmental protection work. They also offer a useful reference for the progress and application of marine surveying and mapping technology.