中文摘要：

不同类别土之间的性质差异导致了土性空间变异性的增大，需要建立一种模型以更真实地反映变异产生机制。引入基于马尔可夫场的多元指示地质统计模型，推导了含多类土的土层特性参数统计特征的理论表达式，分析了多类土的存在对K—L（Karhunen—Loeve）展开的影响，应用谱模型对土层进行了渗流力学随机分析。模拟结果证实了高斯平稳场．马尔可夫场的正确性和谱模型的有效性。

英文摘要：

The larger spatial variability of soil properties is due to the difference of soil properties for different soils. So it is necessary to establish a model to show the actual mechanism of the variability. The multi-indicator geology statistical model based on the Markov field is introduced. And the analytical expression for the statistics of the soil parameters is derived and the impact of multi-soil on K-L （Karhunen-Loeve） expansion is analyzed. Then the stochastic seepage simulation is conducted with spectral method. The results show the correctness of Ganssian stationary field-Markov field and the validity of spectral model.