三维强变异渗透系数随机场生成  

Random fieldgeneration of three-dimensional strong variation permeability coefficient

作　　者：王开丽[1] 孙磊[1] 王立勇[1] 孟夏 

机构地区：[1]水利部松辽水利委员会,吉林长春130021 [2]青岛市水利勘测设计研究院有限公司,山东青岛266071

出　　处：《东北水利水电》2015年第10期44-46,72,共3页Water Resources & Hydropower of Northeast China

摘　　要：渗透系数的空间变异性是影响地下水运动的主要因素。研究利用改进的连续随机增加方法生成了渗透系数的对数(ln K)符合分维布朗运动(f Bm)和分维Levy运动(f Lm)的随机场,并对其统计特征进行了分析验证。结果表明:符合f Bm和f Lm统计特征的ln K随机场表现出强烈的空间变异性,其中f Lm条件的ln K随机场的空间变异性更强,能更好反映地质介质中渗透系数呈现急剧变化的强变异性;符合f Lm统计特征的ln K增量的概率密度分布(间距为1)符合Levy稳定分布且具有仿射不变性。The spatial variabilityof the permeability coefficient is the major influence factor of the groundwater movement. The logarithm(ln K) random field of the permeability coefficientin accordance with the fractional Brownian motion(f Bm)andfractional Levy motion(f Lm)is generated by using the improved continuous random additions method in the research, and its statistical characteristics are analyzed and verified. The results showed that: the logarithm(ln K) random fieldin accordance with thestatistical characteristics of f Bm and f Lm has the strong spatial variability. For thelogarithm(ln K) random fieldin accordance with thef Lm, its spatial variability is stronger,which could betterreflect the dramatic changes strong variability of permeability coefficientin geologic medium,the probability density distribution(pitch 1) of Lnkincrementin accordance with the f Lmstatistical characteristics meet the Levy stationary distribution and has the affine invariance.

关 键 词：渗透系数 空间变异性 分维布朗运动 分维Levy运动 

分 类 号：P641.2[天文地球—地质矿产勘探]