鱼群算法的重力密度异常反演方法  

FISH SWARM ALGORITHM AND ITS APPLICATION IN GRAVITY DENSITY INVERSION

作　　者：明圆圆[1] 范美宁[1] 

机构地区：[1]吉林大学地球探测科学与技术学院,长春130026

出　　处：《物探化探计算技术》2012年第6期666-670,620,共5页Computing Techniques For Geophysical and Geochemical Exploration

摘　　要：解的优化问题是重磁反演中比较重要的一个方面,近些年来出现了很多的优化算法,如遗传算法、粒子群算法等。这里将采用一种新型仿生优化算法,即人工鱼群算法(Artificial FishSchool Algorithm,AFSA)来进行密度反演。将研究区域划分成若干规则且密度均匀的长方体,由引力位推导出长方体外任意一点的重力异常公式,利用重力的可叠加性,计算出观测点的重力异常。并在给定长方体参数后,根据已知重力异常确定密度参数,利用人工鱼群算法寻求最优解。通过理论模型得出:当所反演的密度参数为"2"时,该算法效果十分明显;当所反演的密度参数较多时,该算法在使用方面有一定限制。The optimization problem of solutions is one of the most important aspects for the inversion of gravity and magnet.In recent years,many optimization algorithms have been proposed,such as genetic algorithm,particle swarm optimization algorithm and so on.In this paper,a new bionic optimization algorithm,Artificial fish-swarm algorithm,is adopted to inverse density.Firstly,the research area is divided into several regular cuboids with uniform density.Then,with the stack characteristic,the gravity anomaly at each observation point outside the cuboids can be calculated from the formula based on gravitational theory.Finally,with the given parameters,the optimized solution of the density parameter of the theoretical model is obtained using artificial fish-swarm algorithm.The result shows that the effect of inversion is significant when the density is 2,however,the application of the algorithm would be restricted if the number of density parameter needed to be inversed is large.

关 键 词：优化问题 人工鱼群算法 密度反演 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]