基于最频值法直线图解水文地质参数  

Solving hydrogeologic parameters by linear graphic approach based on the most frequent value method

作　　者：刘天霸[1] 石建省[1] 张翼龙[1] 张永波[1] 

机构地区：[1]中国地质科学院水文地质环境地质研究所,石家庄050061

出　　处：《工程勘察》2010年第3期42-45,共4页Geotechnical Investigation & Surveying

基　　金：国土资源大调查项目(1212010913010);内蒙古自治区地质调查项目(2007-3-SK15)

摘　　要：由抽水试验数据应用计算机进行直线图解水文地质参数时,拟合直线的方法是基于最小二乘理论,但该方法易受异常值影响,拟合结果常常不理想,从而导致求解的参数值误差较大。相比最小二乘法,基于信息损失最小化的最频值算法对异常值不敏感,是一种更为稳健的算法。本文将最频值算法与直线图解法耦合,推导出了求解导水系数和贮水系数的新公式。最后,通过MATLAB环境下自行编制的程序,以一个抽水试验为例,对两种直线图解法进行了对比。结果表明,基于最频值算法的直线图解法求参结果更准确可靠。When solving hydrogeologic parameters by linear graphic approach, it is dealt with computer under pumping test data, the method of fitting line is basing on the least squares principle. However, this method is easily influenced with outliers, and the fitting result is usually not satisfying, thus it leads to the errors of parameters. Compared with the least squares principle, the most frequent value method （MFV）, which is theoretically derived from the minimization of information loss, is insensitive to outliers, so it＇ s a robust and resistant algorithm. In this paper, the MFV algorithm is coupled with linear graphic approach, and then derived the new formulae of transmissivity and storage coefficient. At last, compiled the linear graphic program under MATLAB, and taking a pumping test as an example to compare the two kinds of linear graphic approach, the results show that it is more reliable to get hydrogeologic parameters with linear graphic approach based on the most frequent value method.

关 键 词：抽水试验 水文地质参数 直线图解法 最频值法 最小二乘法 

分 类 号：P641.2[天文地球—地质矿产勘探]