GSTDTAP  > 资源环境科学
DOI10.1002/2016WR019994
Lagrangian scheme to model subgrid-scale mixing and spreading in heterogeneous porous media
Herrera, P. A.1,2; Cortinez, J. M.1,3; Valocchi, A. J.4
2017-04-01
发表期刊WATER RESOURCES RESEARCH
ISSN0043-1397
EISSN1944-7973
出版年2017
卷号53期号:4
文章类型Article
语种英语
国家Chile; USA
英文摘要

Small-scale heterogeneity of permeability controls spreading, dilution, and mixing of solute plumes at large scale. However, conventional numerical simulations of solute transport are unable to resolve scales of heterogeneity below the grid scale. We propose a Lagrangian numerical approach to implement closure models to account for subgrid-scale spreading and mixing in Darcy-scale numerical simulations of solute transport in mildly heterogeneous porous media. The novelty of the proposed approach is that it considers two different dispersion coefficients to account for advective spreading mechanisms and local-scale dispersion. Using results of benchmark numerical simulations, we demonstrate that the proposed approach is able to model subgrid-scale spreading and mixing provided there is a correct choice of block-scale dispersion coefficient. We also demonstrate that for short travel times it is only possible to account for spreading or mixing using a single block-scale dispersion coefficient. Moreover, we show that it is necessary to use time-dependent dispersion coefficients to obtain correct mixing rates. On the contrary, for travel times that are large in comparison to the typical dispersive time scale, it is possible to use a single expression to compute the block-dispersion coefficient, which is equal to the asymptotic limit of the block-scale macrodispersion coefficient proposed by Rubin et al. (1999). Our approach provides a flexible and efficient way to model subgrid-scale mixing in numerical models of large-scale solute transport in heterogeneous aquifers. We expect that these findings will help to better understand the applicability of the advection-dispersion-equation (ADE) to simulate solute transport at the Darcy scale in heterogeneous porous media.


领域资源环境
收录类别SCI-E
WOS记录号WOS:000403682600043
WOS关键词REACTIVE SOLUTE TRANSPORT ; NUMERICAL SIMULATIONS ; STOCHASTIC-ANALYSIS ; TEMPORAL BEHAVIOR ; PARTICLE TRACKING ; DISPERSION ; FLOW ; MACRODISPERSION ; DILUTION ; CONDUCTIVITY
WOS类目Environmental Sciences ; Limnology ; Water Resources
WOS研究方向Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources
引用统计
文献类型期刊论文
条目标识符http://119.78.100.173/C666/handle/2XK7JSWQ/21193
专题资源环境科学
作者单位1.Univ Chile, Dept Civil Engn, Santiago, Chile;
2.IIDP, Santiago, Chile;
3.ARCADIS, Santiago, Chile;
4.Univ Illinois, Dept Civil & Environm Engn, Champaign, IL USA
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GB/T 7714
Herrera, P. A.,Cortinez, J. M.,Valocchi, A. J.. Lagrangian scheme to model subgrid-scale mixing and spreading in heterogeneous porous media[J]. WATER RESOURCES RESEARCH,2017,53(4).
APA Herrera, P. A.,Cortinez, J. M.,&Valocchi, A. J..(2017).Lagrangian scheme to model subgrid-scale mixing and spreading in heterogeneous porous media.WATER RESOURCES RESEARCH,53(4).
MLA Herrera, P. A.,et al."Lagrangian scheme to model subgrid-scale mixing and spreading in heterogeneous porous media".WATER RESOURCES RESEARCH 53.4(2017).
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