Mathematical Modelling and Optimisation in Multibeam Bathymetry: A Study of Coverage Width, Overlap Rate and Course Optimisation

Zhiwei Bai; Xiaoxin Zhang; Yuying Sun

doi:10.54097/2mdctz90

Authors

Zhiwei Bai
Xiaoxin Zhang
Yuying Sun

DOI:

https://doi.org/10.54097/2mdctz90

Keywords:

Multibeam bathymetry, mathematical modelling, optimization models.

Abstract

This paper focuses on the field of multibeam bathymetry, firstly, a two-dimensional mathematical model with coverage width, overlap rate, and seawater depth as the objectives is established by using the trigonometric properties, the terrain slope factor and the effect of different survey line distances from the centre on multibeam bathymetry. Matlab software was used to solve the model, and the expressions for the coverage width and the overlap rate of adjacent strips were obtained. Secondly, for the multibeam bathymetry along a certain direction, based on the three-dimensional geometric seawater depth model, the coverage width model corresponding to different survey line directions was obtained by using the classification discussion method. Finally, through the optimisation model and traversal algorithm, the optimisation model that meets the requirement of the overlap rate of adjacent strips is established with the objective of minimising the total routes, and solved by the cyclic traversal idea. This study provides a comprehensive mathematical model and optimisation method for multibeam bathymetry, and lays a theoretical foundation for practical applications in related fields.

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