-
52浏览
-
0点赞
-
0收藏
-
0分享
-
215下载
-
0评论
-
引用
期刊论文
A numerical method of moments for solute transport in a porous medium with multiscale physical and chemical heterogeneity
WATER RESOURCES RESEARCH, VOL. 40, 2004,-0001,():
In this study, geostatistical and stochastic methods are used to study groundwater flow and solute transport in a multiscale heterogeneous formation. The formation is composed of various materials, and distributions of conductivity and chemical sorption coefficient within each material are heterogeneous. The random distributions of materials in the formation are characterized by an indicator function. The conductivity and chemical sorption coefficient fields in each material are assumed to be statistically stationary. On the basis of these assumptions a general expression is derived for the covariance function of the composite field in terms of the covariance of the indicator variable and the properties of the composite materials. Darcy's law and perturbation method are applied to develop the covariance of the retarded velocity. The numerical method of moments [Zhang et al., 2000; Wu et al., 2003a, 2003b] is used to study the effects of various uncertain parameters on flow and transport predictions. Case studies have been conducted to investigate the influences of a medium's physical and chemical heterogeneity and nonstationarity on solute flux prediction. The study results indicate that the large-scale heterogeneity dominates the effcts on flow and solute transport processes, and the effect of small-scale heterogeneity is secondary. It is also shown from the case studies that the numerical method of moments is applicable to studying flow and solute transport in complex subsurface environments, especially for the uncertainty analysis. Monte Carlo simulation is also conducted, and the results are compared with those obtained through method of moment. The calculation results of the mean total solute flux by the two methods match very well, but the variance of total solute flux obtained by the method of moments is smaller than that by the Monte Carlo method, especially for the cases with large total variances of the conductivity and sorption coefficient. In comparison with the Monte Carlo simulation, the method of moments is much more efficient in calculation.
【免责声明】以下全部内容由[吴吉春]上传于[2005年04月22日 23时39分53秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果