论文部分内容阅读
在直流电法有限元数值模拟中,针对常规结构化网格源点附近网格节点数值精度低的问题,并考虑计算效率和反演成像的需求,本文在二维点源问题中提出一种新的网格加密-收缩方法。其核心思想是在结构化网格计算区域中先后引入网格节点加密和网格节点收缩两个环节。通过在计算区域水平方向上均匀加密网格节点密度,降低源点奇异性的影响范围,并提升对地形的模拟能力;通过在计算区域垂向方向上将多个网格收缩到一个网格中,降低网格节点的规模,进而提高数值计算的效率。理论模型检验表明,网格加密一收缩方法能有效地解决源的奇异性问题,与均匀加密网格相比,网格节点总数降低了约80%。
In the finite element numerical simulation of direct current method, aiming at the problem of low numerical accuracy of grid nodes near the source points of conventional structured grids and considering the computational efficiency and the demand of inversion imaging, this paper presents a new Grid Encryption - Shrinking Method. The core idea is to introduce grid node encryption and grid node contraction in the structured grid computing area. By uniformly encrypting the density of mesh nodes in the horizontal direction of the computing area, the scope of source singularity can be reduced and the simulation capability of the terrain can be improved. By shrinking multiple meshes into a grid in the vertical direction of the computing area , Reduce the size of grid nodes, and then improve the efficiency of numerical calculation. The theoretical model test shows that the grid encryption-shrinkage method can effectively solve the singularity problem of the source, and the total number of grid nodes is reduced by about 80% compared with the uniformly encrypted grid.