Mathematical Modeling of Multibeam Bathymetric Data Resolved Using Trigonometric Functions

• DOI: 10.54097/y2q93a96
• Publication Date: 2025-03-31T17:16:57Z
• Authors: Rantong Xia; Jie Quan; Xiaoqin Yang

Multibeam bathymetry is an important method for mapping seafloor topography in offshore waters. This method uses acoustic reflections to map underwater terrain accurately and is widely applied in marine resource development, environmental protection, and navigation safety. This study establishes two ocean models to solve multibeam bathymetry using trigonometric functions. To simplify, the seafloor is assumed to be a flat slope, and the transducer’s opening angle is considered. The slope angle and depth at the center point are known, and the survey line direction varies. A new function model is constructed, similar to the objective function, and solved mathematically. In the simplified scenario, when the survey line is 600 meters from the center, the overlap rate is 3.21%, the most reasonable. In the optimized scenario, regardless of the distance, if the survey line angle is 90°, the coverage width remains 416.55 meters. This paper provides a new idea and method for ocean exploration.