弥散系数在非均质多相岩层中的尺度效应

地学前缘 ›› 2010, Vol. 17 ›› Issue (3): 276-280.

弥散系数在非均质多相岩层中的尺度效应

董书宁,戴振学,李竞生

1长安大学环境科学与工程学院, 陕西西安 710054
2 Los Alamos 国家实验室, Los Alamos NM 87545, USA
3煤炭科学研究总院西安研究院, 陕西西安 710054

收稿日期:2009-11-08 修回日期:2009-12-11 出版日期:2010-05-15 发布日期:2010-06-18
作者简介:董书宁(1961—),男,博士研究生,研究员,主要从事煤矿防治水及煤矿安全高效生产地质保障技术的研究工作。Email: dsn_61@hotmail.com
基金资助:
国家重点基础研究发展计划“973”项目(2006CB202200)

The scale dependence of dispersivity in multifacies heterogeneous sediments.

DONG Shu-Ning, DAI Zhen-Hua, LI Jing-Sheng

1School of Environmental Sciences and Engineeering, Changan University, Xian 710054, China
2Los Alamos National Laboratory, Los Alamos NM 87545, USA
3Xian Branch, China Coal Research Institute, Xian 710054, China

Received:2009-11-08 Revised:2009-12-11 Online:2010-05-15 Published:2010-06-18

摘要/Abstract

摘要：

根据渗透系数在多相岩层中的协方差函数,文中首先推导了用以描述溶质在三维模型中运移特征的宏观弥散系数方程,然后导出了纵向弥散系数用来表达该参数的尺度效应。利用一个例子,讨论了宏观弥散随时间的变化趋势,以及同一岩相内转移项和越相转移项对弥散的相对贡献。灵敏度分析指出纵向弥散系数是与岩相平均长度正相关,也与不同岩相的渗透系数的差值正相关,其取值随渗透系数的总方差的增加而增大。

关键词: 弥散系数, 非均质多相岩层, 尺度效应, 宏观弥散系数方程

Abstract:

Based on a general global covariance function of log conductivity in multifacies sediments, we developed the macrodispersion coefficient equations for the solute transport in threedimensional domain. Then we derived the longitudinal dispersivity to show the scale dependence of this parameter. With an example, the time evolution trends and the relative contributions of the auto and crossfacies transition terms to the macrodispersion have been discussed. Sensitivity analysis indicates that the values of the longitudinal dispersion coefficient are positively correlated to facies mean length and the difference of the mean log conductivity between different facies. The longitudinal dispersivity coefficient also shows clearly a linear dependence on the global variance of the log conductivity in the multifacies sediments.

Key words: dispersivity, multifacies heterogeneous sediments, scale dependence, macrodispersion coefficient equations

中图分类号:

董书宁, 戴振学, 李竞生. 弥散系数在非均质多相岩层中的尺度效应[J]. 地学前缘, 2010, 17(3): 276-280.

DONG Shu-Ning, DAI Zhen-Hua, LI Jing-Sheng. The scale dependence of dispersivity in multifacies heterogeneous sediments.[J]. Earth Science Frontiers, 2010, 17(3): 276-280.