Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property

SHI Liang-sheng; YANG Jin-zhong; CHEN Fu-long; ZHOU Fa-chao

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Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property

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- Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property
- Vol. 28, Issue 11, (2007)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：
  CLC： O242
- Online First：18 October 2013，
  
  Published：2007
- 稿件说明：
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SHI Liang-sheng, YANG Jin-zhong, CHEN Fu-long, et al. Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property[J]. 2007, 28(11).
DOI：

SHI Liang-sheng, YANG Jin-zhong, CHEN Fu-long, et al. Research on application of Karhunen-Loeve expansion to simulating anisotropic random field of soil property[J]. 2007, 28(11). DOI：

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。

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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