Abstract: In order to indicate the stochastic distribution characteristic of hydraulic conductivity, the bottom stratum of Beitang reservoir, which is a coastal reservoir and a regulating & stand by reservoir of South to North Water Diversion Project, was chosen as a case study. By using field sampling, simple Darcy infiltration test and grain size distribution analysis in laboratory two series of the hydraulic conductivity and its spatial variation were analyzed.. With the help of the P-P plots and KolmogorovSmirnov test of the SPSS software, the hydraulic conductivity for spatial stochastically distribution was analyzed. The result indicates that the hydraulic conductivity follows the lognormal distribution much better than normal distribution. It is the basis of the reliability analysis of water leakage from the reservoir and spatial variation characteristic of hydraulic conductivity.

Key words: hydraulic conductivity, spatial stochastically distribution, lognormal distribution, SPSS