摘要
研究了海底地形为坡面和不规则面的多波束测线布设,包括测线方向和测线间距.针对坡面海域,利用数学证明得出沿平行等深线走向进行测线布设是最优方向,并根据多波束测线布设的基本原则,建立了满足测线总长度最小、重叠率在规定范围内的递推公式,利用该公式求解测线间距;针对不规则海域,将海底地形划分为若干个近似为坡面的海域,用最小二乘法将各区域拟合为坡面海域,并对拟合效果不佳的区域进行进一步划分.按照坡面海域的求解公式分别得到各个海域的测线布设,最终汇总得到了该不规则海域的测线布设方案.
Multibeam line laying,including line direction and line spacing,has been studied for seabed topography with sloping and irregular surfaces.In the case of sloping sea areas,mathematical proofs were used to conclude that parallel isobaths were the optimal direction for line placement,and a recursive formula was established based on the basic principles of multibeam line placement that minimized the total length of the lines and kept the overlap rate within the prescribed range.The formula is used to solve the spacing of survey lines.For the irregular sea area,the seabed topography is divided into a number of sea areas approximating the slope surface,and the least squares method is used to fit each area to the slope surface sea area,and further division is carried out for the areas with poor fitting effect.According to the solution formula for the sloping sea area,the survey line laying in each sea area is obtained separately,and finally the survey line laying scheme for the irregular sea area is summarized.
作者
邸智
张一博
韩书星
范晓娜
DI Zhi;ZHANG Yibo;HAN Shuxing;FAN Xiaona(School of Communication and Information Engineering,Nanjing University of Posts and Telecommunications,Nanjing,Jiangsu 210000,China;School of Computer Science,Nanjing University of Posts and Telecommunications,Nanjing,Jiangsu 210000,China;School of Science,Nanjing University of Posts and Telecommunications,Nanjing,Jiangsu 210000,China)
出处
《数学建模及其应用》
2024年第1期87-95,共9页
Mathematical Modeling and Its Applications
关键词
多波束测深
测线布设
最小二乘法
multibeam bathymetry
line placement
least squares method
