【摘要】 在海底石油地震勘探时,拖放的电缆往往不能下沉在设计位置,根据微积分学中微元法的思想以及动力学的知识,建立了电缆在海水中的运动方程。该方程是一个二阶非线性偏微分方程组,将方程离散化,并应用牛顿迭代法求出其数值解,从而可模拟电缆在海水中以及铺设到海底的轨迹。该数学模型的建立具有重要理论价值,模拟结果对生产实际具有一定指导意义。更多还原

【Abstract】 During the process of undersea petroleum detection,the dragged cables usually can’t drop to the designed position.Based on the thought of element method and kinetics knowledge,this paper establishes the motion equations of cables moving under the sea.The model is designed as two-dimensional nonlinear differential equations.When equations are discretized,the Newton iteration method can be adopted to solve its numerical solution.Thus the track of cables in sea water and sea bed could be simulated.The establishment of this mathematical model is of great theoretical value.The simulation results also have an important guiding meaning in production.更多还原