二维海底电缆铺设的微分方程模型与数值算法

数学物理学报 ›› 2015, Vol. 35 ›› Issue (4): 780-793.

二维海底电缆铺设的微分方程模型与数值算法

韩欢¹, 李星², 刘军³, 倪成洲³

1 中国科学院武汉物理与数学研究所, 武汉 430071;
2 中国地质大学数学与物理学院, 武汉 430076;
3 东方地球物理公司海上勘探事业部, 天津大港 300280

收稿日期:2013-08-08 修回日期:2014-10-15 出版日期:2015-08-25 发布日期:2015-08-25
通讯作者: 李星, lixing@cug.edu.cn E-mail:lixing@cug.edu.cn
作者简介:韩欢, hanhuan11@mails.ucas.ac.cn;刘军, liujun1@cnpc.com.cn;倪成洲, nichengzhou@cnpc.com.cn
基金资助:
国家自然科学基金(11271360,11471331)资助

Two-Dimensional Differential Model and Numerical Method of Undersea Cables During Installation

Han Huan¹, Li Xing², Liu Jun³, Ni Chengzhou³

1 Wuhan Insitute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071;
2 School of Mathematics and Physics, China University of Geosciences, Wuhan 430076;
3 BGP Offshore, CNPC, Tianjin Dagang 300280

Received:2013-08-08 Revised:2014-10-15 Online:2015-08-25 Published:2015-08-25

摘要/Abstract

摘要：

建立了动态描述海底电缆铺设过程中电缆运动轨迹的微分方程模型,同时提出了静态解的存在条件和相应的数值算法.在实际电缆铺设过程中可用来合理设计探测船航行速度和路线以保证电缆可以沉放到设定的位置.

关键词: 微分方程模型, 海底电缆, 数值模拟

Abstract:

In this paper, we establish a differential model to describe the installation process of undersea cable. At the same time, we put forward a numerical method to solve the mathematical model approximately and prove the existence of solution of the mathematical model in a special case. In practice, we can use the results in this paper to design the proper route of the messenger spacecraft to guarantee that the cable drop to the design position

Key words: Differential equation model, Undersea cable, Numerical simulation

中图分类号:

O189

韩欢, 李星, 刘军, 倪成洲. 二维海底电缆铺设的微分方程模型与数值算法[J]. 数学物理学报, 2015, 35(4): 780-793.

Han Huan, Li Xing, Liu Jun, Ni Chengzhou. Two-Dimensional Differential Model and Numerical Method of Undersea Cables During Installation[J]. Acta mathematica scientia,Series A, 2015, 35(4): 780-793.