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Academic Journal of Engineering and Technology Science, 2023, 6(12); doi: 10.25236/AJETS.2023.061209.

Routing Optimization Model of Submarine Multi-beam Detection System Based on Trigonometric Function and Coordinate System

Author(s)

Zhuofan Zheng, Qirong Luo, Liga Wuri

Corresponding Author:
Zhuofan Zheng
Affiliation(s)

Department of Electronic Information Engineering, North China University of Technology, Beijing, China

Abstract

This paper establishes a mathematical model for the layout problem of the multibeam detection system in seabed exploration and analyzes the seabed detection problem from both two-dimensional and three-dimensional perspectives. Initially, utilizing trigonometric functions and the sine theorem, we calculate the water depth, coverage width, and coverage rate of the survey lines, formed by the tangent angles between the line spacing and the seabed depth. Subsequently, using a Cartesian coordinate system, we construct equations based on the relationships between vectors to compute the multibeam coverage width of survey lines at different distances from the center of the sea area. Under certain assumptions, we aim to cover the entire sea area with a minimal set of survey lines. Simplifying the seabed topography to two slopes of different gradients, we select contour lines formed by connecting two higher contour points to design the direction lines for the survey, thereby computing parameters such as the total length of the survey lines. This model is practical and effectively addresses the proposed issues, holding significance as a reference in the field of marine exploration.

Keywords

Multibeam Bathymetry, Trigonometric Functions, Three-Dimensional Slope Detection, Cartesian Coordinate System

Cite This Paper

Zhuofan Zheng, Qirong Luo, Liga Wuri. Routing Optimization Model of Submarine Multi-beam Detection System Based on Trigonometric Function and Coordinate System. Academic Journal of Engineering and Technology Science (2023) Vol. 6, Issue 12: 56-64. https://doi.org/10.25236/AJETS.2023.061209.

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