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DOI | 10.1029/2018WR024261 |
Exact Upscaling for Transport of Size-Distributed Colloids | |
Bedrikovetsky, P.1; Osipov, Y.2; Kuzmina, L.3; Malgaresi, G.1 | |
2019-02-01 | |
发表期刊 | WATER RESOURCES RESEARCH
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ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2019 |
卷号 | 55期号:2页码:1011-1039 |
文章类型 | Article |
语种 | 英语 |
国家 | Australia; Russia |
英文摘要 | The article investigates one-dimensional (1-D) suspension-colloidal transport of size-distributed particles with particle attachment. A population balance approach is presented for computing the particle transport and capture by porous media. The occupied area of each attached particle is particle size-dependent. The main model assumption is the retention rate dependency of the overall vacancy concentration for all particle sizes. For the first time, we derive an exact averaging (upscaling) procedure resulting in a closed system of large-scale equations for average concentrations of suspended and retained particles and of occupied rock surface area. The resulting large-scale 3x3 system significantly differs from the traditional 2x2 deep bed filtration model. However, the traditional model becomes a particular case that corresponds to an equal occupied area for all particles. The averaging yields the appearance of two empirical suspension and site occupation functions, which govern the kinetics of particle retention and site occupation, respectively. One-dimensional flow problems for the averaged equations are essentially nonlinear. However, they allow for exact solutions. We derive novel exact solutions for three 1-D problems: continuous injection of particulate colloidal suspension, injection of colloidal suspension bank with particle-free chase drive, and fines migration induced by high-rate flows. The analytical model for continuous injection closely matches three series of laboratory tests on nanofluid transport. |
英文关键词 | upscaling averaging exact averaging of suspension-colloidal and reactive transport with distributed particle properties reactive transport exact solutions for 1-D reactive or colloidal flow for the upscaled system aquifer contamination |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000461858900009 |
WOS关键词 | POROUS-MEDIA ; FINES MIGRATION ; PARTICULATE SUSPENSIONS ; PERMEABILITY REDUCTION ; GRAPHENE OXIDE ; MODEL ; FILTRATION ; FLOW ; NANOPARTICLES ; RETENTION |
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/181280 |
专题 | 资源环境科学 |
作者单位 | 1.Univ Adelaide, Australian Sch Petr, Adelaide, SA, Australia; 2.Moscow State Univ Civil Engn, Appl Math Dept, Moscow, Russia; 3.Natl Res Univ, Dept Math, Higher Sch Econ, Moscow, Russia |
推荐引用方式 GB/T 7714 | Bedrikovetsky, P.,Osipov, Y.,Kuzmina, L.,et al. Exact Upscaling for Transport of Size-Distributed Colloids[J]. WATER RESOURCES RESEARCH,2019,55(2):1011-1039. |
APA | Bedrikovetsky, P.,Osipov, Y.,Kuzmina, L.,&Malgaresi, G..(2019).Exact Upscaling for Transport of Size-Distributed Colloids.WATER RESOURCES RESEARCH,55(2),1011-1039. |
MLA | Bedrikovetsky, P.,et al."Exact Upscaling for Transport of Size-Distributed Colloids".WATER RESOURCES RESEARCH 55.2(2019):1011-1039. |
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