六边形剖分数据在重力场模型构建中的应用

Application of hexagonal subdivision data in the construction of gravitational field model

针对地球重力场模型求解过程中数据使用量大、求解效率低的问题。基于六边形良好的几何特性,利用力学平衡、斐波那契数列等理论生成类六边形格网,将类六边形格网应用到重力场模型求解中,以阶误差作为精度评定标准,比较了传统的四边形格网与类六边形格网数据在模型恢复中的精度情况。结果表明:在不损失模型恢复精度的前提下,类六边形格网相比四边形格网可有效地减少建模使用的数据量,进而提升求解效率。

Aiming at the problems of large amount of data and low efficiency in solving the earth gravity fieldmodel.Based on the good geometric characteristics of hexagons,this paper uses the theory of mechanical balanceand Fibonacci sequences to generate the quasi hexagonal grid,and apply quasi hexagonal grid to the solution of gravity field modelm,takes the order error as the accuracy evaluation standard,compares the accuracy of the traditional quadrilateral grid and the quasi hexagonal grid data in the model recovery.The results show that the hexagonal grid can effectively reduce the amount of data used in modeling compared with the quadrilateral grid without losing the accuracy of model recovery,thus improving the efficiency of solution.