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土性高斯平稳场-马尔可夫场在渗流随机分析中的应用研究
引用本文:林琳,史良胜,杨金忠,蔡树英.土性高斯平稳场-马尔可夫场在渗流随机分析中的应用研究[J].岩土力学,2006,27(10):1777-1780.
作者姓名:林琳  史良胜  杨金忠  蔡树英
作者单位:武汉大学,水资源与水电工程科学国家重点实验室,武汉,430072
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。

关 键 词:土性  高斯平稳场  马尔可夫场  随机分析
文章编号:1000-7598-(2006)10-1777-04
收稿时间:2005-06-07
修稿时间:2005-06-072005-09-26

Research on application of Gaussian stationary field-Markov field of soil property to stochastic fluid flow analysis
LIN Lin,SHI Liang-sheng,YANG Jin-zhong,CAI Shu-ying.Research on application of Gaussian stationary field-Markov field of soil property to stochastic fluid flow analysis[J].Rock and Soil Mechanics,2006,27(10):1777-1780.
Authors:LIN Lin  SHI Liang-sheng  YANG Jin-zhong  CAI Shu-ying
Institution:State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
Abstract: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 Gaussian stationary field-Markov field and the validity of spectral model.
Keywords:soil property  Gauss stationary field  Markov field  stochastic analysis
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