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二维波动方程谱元法通常采用四边形网格,网格质量和属性建模方式对波场模拟精度和效率有较大影响.常规属性建模需要先建立几何模型再对其进行贴体网格剖分.但存在已知稠密属性控制点却难以建立复杂几何模型的问题.针对此问题,提出对模型进行矩形网格剖分并计算GLL点,利用属性控制点对所有GLL点进行插值以提高属性建模的效率.将属性建模方式归纳为单元属性建模方式和节点属性建模方式.在节点属性建模方式中分析了双线性插值、快速Gauss径向基函数插值法的计算效率,将两种插值算法集成于SPECFEM2D的属性建模程序中.实例表明两种属性建模方式对谱元法波场模拟都是有效的.
The two-dimensional wave equation method usually uses quadrilateral grids, and the quality of grid and attribute modeling have a great influence on the accuracy and efficiency of wavefield simulation.Generally, However, there are some known control points of dense attributes but it is difficult to establish complex geometric models.In order to solve this problem, we propose to divide the model into rectangular grids and calculate GLL points, and use attribute control points to interpolate all GLL points The efficiency of attribute modeling: The methods of attribute modeling are summarized as unit attribute modeling and node attribute modeling.Binary linear interpolation is analyzed in node attribute modeling, and the computational efficiency of fast Gauss radial basis function interpolation , Two kinds of interpolation algorithms are integrated into the property modeling program of SPECFEM2D.The examples show that the two kinds of property modeling methods are effective for spectral wavefield simulation.