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DOI10.1002/2017WR021454
A Binomial Modeling Approach for Upscaling Colloid Transport Under Unfavorable Attachment Conditions: Emergent Prediction of Nonmonotonic Retention Profiles
Hilpert, Markus1; Johnson, William P.2
2018
发表期刊WATER RESOURCES RESEARCH
ISSN0043-1397
EISSN1944-7973
出版年2018
卷号54期号:1页码:46-60
文章类型Article
语种英语
国家USA
英文摘要

We used a recently developed simple mathematical network model to upscale pore-scale colloid transport information determined under unfavorable attachment conditions. Classical log-linear and nonmonotonic retention profiles, both well-reported under favorable and unfavorable attachment conditions, respectively, emerged from our upscaling. The primary attribute of the network is colloid transfer between bulk pore fluid, the near-surface fluid domain (NSFD), and attachment (treated as irreversible). The network model accounts for colloid transfer to the NSFD of downgradient grains and for reentrainment to bulk pore fluid via diffusion or via expulsion at rear flow stagnation zones (RFSZs). The model describes colloid transport by a sequence of random trials in a one-dimensional (1-D) network of Happel cells, which contain a grain and a pore. Using combinatorial analysis that capitalizes on the binomial coefficient, we derived from the pore-scale information the theoretical residence time distribution of colloids in the network. The transition from log-linear to nonmonotonic retention profiles occurs when the conditions underlying classical filtration theory are not fulfilled, i.e., when an NSFD colloid population is maintained. Then, nonmonotonic retention profiles result potentially both for attached and NSFD colloids. The concentration maxima shift downgradient depending on specific parameter choice. The concentration maxima were also shown to shift downgradient temporally (with continued elution) under conditions where attachment is negligible, explaining experimentally observed downgradient transport of retained concentration maxima of adhesion-deficient bacteria. For the case of zero reentrainment, we develop closed-form, analytical expressions for the shape, and the maximum of the colloid retention profile.


领域资源环境
收录类别SCI-E
WOS记录号WOS:000428474000003
WOS关键词DEPOSITION RATE COEFFICIENTS ; DEFICIENT BACTERIAL STRAIN ; POROUS-MEDIA ; FILTRATION THEORY ; CRYPTOSPORIDIUM OOCYSTS ; SILVER NANOPARTICLES ; COLLECTOR EFFICIENCY ; BED FILTRATION ; HETEROGENEITY ; DEVIATION
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/19959
专题资源环境科学
作者单位1.Columbia Univ, Dept Environm Hlth Sci, New York, NY 10027 USA;
2.Univ Utah, Dept Geol & Geophys, Salt Lake City, UT 84112 USA
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Hilpert, Markus,Johnson, William P.. A Binomial Modeling Approach for Upscaling Colloid Transport Under Unfavorable Attachment Conditions: Emergent Prediction of Nonmonotonic Retention Profiles[J]. WATER RESOURCES RESEARCH,2018,54(1):46-60.
APA Hilpert, Markus,&Johnson, William P..(2018).A Binomial Modeling Approach for Upscaling Colloid Transport Under Unfavorable Attachment Conditions: Emergent Prediction of Nonmonotonic Retention Profiles.WATER RESOURCES RESEARCH,54(1),46-60.
MLA Hilpert, Markus,et al."A Binomial Modeling Approach for Upscaling Colloid Transport Under Unfavorable Attachment Conditions: Emergent Prediction of Nonmonotonic Retention Profiles".WATER RESOURCES RESEARCH 54.1(2018):46-60.
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