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

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Research on application of Gaussian stationary field-Markov field of soil property to stochastic fluid flow analysis

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- Research on application of Gaussian stationary field-Markov field of soil property to stochastic fluid flow analysis
- Vol. 27, Issue 10期　刊出日, (2006)
- 作者机构：
  
  武汉大学水资源与水电工程科学国家重点实验室,武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： O357.3
- Online First：29 November 2013，
  
  Published：2006
- 稿件说明：
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LIN Lin, SHI Liang-sheng, YANG Jin-zhong, et al. Research on application of Gaussian stationary field-Markov field of soil property to stochastic fluid flow analysis[J]. 2006, 27(10期　刊出日).
DOI：

LIN Lin, SHI Liang-sheng, YANG Jin-zhong, et al. Research on application of Gaussian stationary field-Markov field of soil property to stochastic fluid flow analysis[J]. 2006, 27(10期　刊出日). DOI：

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。

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.

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