| Karhunen-Loeve展开在土性各向异性随机场模拟中的应用研究 |
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| 引用本文： | 史良胜,杨金忠,陈伏龙,周发超. Karhunen-Loeve展开在土性各向异性随机场模拟中的应用研究[J]. 岩土力学, 2007, 28(11): 2303-2308 |
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| 作者姓名： | 史良胜 杨金忠 陈伏龙 周发超 |
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| 作者单位： | 1. 武汉大学 水资源与水电工程科学国家重点实验室，武汉 430072；2.新疆石河子大学 水利建筑工程学院，新疆 石河子 832000 |
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| 摘 要： | 研究了Karhunen-Loeve(简称KL)展开在土性参数随机场模拟中的应用，分析了KL展开的特点，针对不规则区域和任意类型协方差函数提出了积分方程的Galerkin数值解法，模拟了土壤渗透系数各向异性随机场。分析结果表明：较低阶Karhunen-Loeve展开能够较好描述随机场的空间结构，与转动带法相比，KL展开法在模拟随机场的各向异性特性方面更具优势；与谱展开法相比，KL展开法具有更优的收敛性。
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| 关 键 词： | Karhunen-Loeve展开 随机场 协方差 各向异性 |
| 文章编号： | 1000-7598-（2007）11-2303-06 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005-12-20 |
Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property |
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| SHI Liang-sheng,YANG Jin-zhong,CHEN Fu-long,ZHOU Fa-chao. Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property[J]. Rock and Soil Mechanics, 2007, 28(11): 2303-2308 |
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| Authors: | SHI Liang-sheng YANG Jin-zhong CHEN Fu-long ZHOU Fa-chao |
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| Affiliation: | 1. State Key Laboratory of Water Resources and Hydropower Engineering Sciences, Wuhan University, Wuhan 430072, China; 2. School of Irrigation and Architecture Engineering, Shihezi University, Shihezi 832000, China |
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| Abstract: | The application of Karhunen-Loeve(KL) expansion to simulating the soil parameters random field is researched;and the characteristics of the KL decomposition are analyzed;and the Galerkin finite element method is adopted to solve the integral equation numerically in the irregular region and for arbitrary covariance function and to simulate the anisotropic conductivity field.It is shown that the KL expansion of lower truncated terms can duplicate the spatial structure of the random field accurately.The KL expansion method is superior to turning band method in simulating the anisotropy of a random field;and it has better convergence than the spectral representation method. |
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| Keywords: | Karhunen-Loeve expansion random field covariance function anisotropy |
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