Abstract
Single-beam bathymetry employs a single-point continuous measurement approach, resulting in measurement data only along the navigation route. This poses considerable disadvantages for large expanses of the sea area awaiting measurement. In contrast, multi-beam bathymetry sweeps out depth strips along the navigation line, effectively remedying the deficiencies inherent in single-beam bathymetry. With the direction of the survey line being perpendicular to the slope, in this paper, a mathematical model for coverage width and the overlap rate between adjacent strips is established by combining the geometric plane theorem with parameters such as spacing, slope, depth, and the opening angle of the multi-beam transducer. Subsequently, by substituting the corresponding values, analyses are conducted on the corresponding depth, coverage width, and overlap rate with the previous strip. Based on the sea depth data, the shortest measurement length, the missed measurement rate, and the measurement length with an overlap rate exceeding 20% in the overlapping area for the sea area are derived. In the analysis of the shortest measurement length, a genetic algorithm is adopted. Using the coordinate points (0, 0) to (4, 5) of the protruding section in the middle as an auxiliary line to divide the front and back surfaces, and moving along the direction of the auxiliary line to scan the sea area to be surveyed. The shortest length is determined to be 301.07 nautical miles. Based on the total scanned area, the missed measurement rate is calculated to be 16.55%, and the total length of the overlapping area with an overlap rate exceeding 20% amounts to 51.1 nautical miles.
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