多重网格法在地球物理正反演应用研究中的进展  

Evolution of of Multigrid Method in Geophysics Forward and Inversion's Application Research

作　　者：魏永强[1] 陈辉[1] 罗智龙[1] 黄佳坤[1] 

机构地区：[1]东华理工大学,江西抚州344000

出　　处：《科技广场》2010年第1期29-32,共4页Science Mosaic

基　　金：江西省研究生创新专项资金项目;东华理工大学研究生创新基金项目(YC08B030)支助

摘　　要：现阶段地球物理三维勘探面临越来越复杂的问题,其要求更精细的三维网格剖分,现有的一些方法随着网格节点的增加其收敛速度相应减慢。对于应用中更复杂实际模型、更细密网格剖分以及更快收敛速度要求,难于有进一步提高。要有所突破,需借助计算数学最新进展,引入新的高效算法。多重网格法是近二十年迅速发展的一种求解微分方程近乎最优的新算法。本文首先简单介绍了多重网格法基本原理和运算格式,着重介绍了当前国内外多重网格法在地球物理正反演中的应用成果和发展现状。此外,对多重网格法在地球物理正反演中的应用前景及发展趋势进行了展望。At present, geophysical 3D prospecting faces more and more complex questions, it requests finer three-dimensional grid division. The convergence rate of some existing methods reduces correspondingly with the increase of the grid nodes. It is difficult to improve furtherly in the application of the more complex actual model, closer grid division, as well as the quicker convergence rate. It is necessary to introduce a new highly effective algorithm in order to have the breakthrough with the help o~ the computational mathematics newest progress. The multi-grid method which develops quickly during the recent 20 years is a new and almost the best algorithm for the solution of differential equation approach. In this paper, we briefly introduce the basic principle and compute mode of multi-grid algorithm, and it is mainly about the applied results and development situation of applying multi-grid algorithm in the forward and inversion of geophysics at home and abroad. Besides, this paper discusses the application of the prospect and development trend of multi-grid algorithm in the forward and inversion of geophysics.

关 键 词：多重网格法 泊松方程 麦克斯韦方程 波动方程 正反演 

分 类 号：P316[天文地球—地震学]