Incorporating Super-Diffusion due to Sub-Grid Heterogeneity to Capture Non-Fickian Transport
Numerical transport models based on the advection‐dispersion equation (ADE) are built on the assumption that sub‐grid cell transport is Fickian such that dispersive spreading around the average velocity is symmetric and without significant tailing on the front edge of a solute plume. However, anomal...
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| Veröffentlicht in: | Ground water 2015-09, Vol.53 (5), p.699-708 |
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| creator | Baeumer, Boris Zhang, Yong Schumer, Rina |
| description | Numerical transport models based on the advection‐dispersion equation (ADE) are built on the assumption that sub‐grid cell transport is Fickian such that dispersive spreading around the average velocity is symmetric and without significant tailing on the front edge of a solute plume. However, anomalous diffusion in the form of super‐diffusion due to preferential pathways in an aquifer has been observed in field data, challenging the assumption of Fickian dispersion at the local scale. This study develops a fully Lagrangian method to simulate sub‐grid super‐diffusion in a multidimensional regional‐scale transport model by using a recent mathematical model allowing super‐diffusion along the flow direction given by the regional model. Here, the time randomizing procedure known as subordination is applied to flow field output from MODFLOW simulations. Numerical tests check the applicability of the novel method in mapping regional‐scale super‐diffusive transport conditioned on local properties of multidimensional heterogeneous media. |
| doi_str_mv | 10.1111/gwat.12267 |
| format | Article |
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Numerical tests check the applicability of the novel method in mapping regional‐scale super‐diffusive transport conditioned on local properties of multidimensional heterogeneous media.</description><subject>Computer Simulation</subject><subject>Diffusion</subject><subject>Dispersion</subject><subject>Groundwater</subject><subject>Lagrange multiplier</subject><subject>Mapping</subject><subject>Mathematical models</subject><subject>Models, Theoretical</subject><subject>Simulation</subject><subject>Velocity</subject><subject>Water Movements</subject><subject>Water Pollutants, Chemical</subject><issn>0017-467X</issn><issn>1745-6584</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp9kMFuEzEQhi0EoqFw4QHQSlwQksvYa8frYxVIWhQKEkHhgGR5vd7IbWJvba9K3h6HtD1wwJeRPN_8M_oQek3gjJT3YXOn8xmhdCqeoAkRjOMpb9hTNAEgArOp-HmCXqR0DQC1BPkcnVBOCSvkBP269CbEIUSdnd9U38fBRvzR9f2YXPBVN9oqh_Ld4kV0XXVhs41hY711eX_ozPSQx2irq-Dx3Jkbp321itqnEplfome93ib76r6eoh_zT6vZBV5-XVzOzpdYs6YRmEhqO1obVlvQhk5p3QrDWF8zEJyD7HotOOW61bUQpgHRUy6bHphsGyONqE_Ru2PuEMPtaFNWO5eM3W61t2FMigiQArigUNC3_6DXYYy-XFeoIlOW7Qfq_ZEyMaQUba-G6HY67hUBdXCuDs7VX-cFfnMfObY72z2iD5ILQI7Andva_X-i1GJ9vnoIxccZl7L9_Tij440qXcHV-mqhvq1g_vnLeqma-g-59ZpZ</recordid><startdate>201509</startdate><enddate>201509</enddate><creator>Baeumer, Boris</creator><creator>Zhang, Yong</creator><creator>Schumer, Rina</creator><general>Blackwell Publishing Ltd</general><general>Ground Water Publishing Company</general><scope>BSCLL</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7ST</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>H97</scope><scope>K9.</scope><scope>L.G</scope><scope>SOI</scope><scope>7X8</scope></search><sort><creationdate>201509</creationdate><title>Incorporating Super-Diffusion due to Sub-Grid Heterogeneity to Capture Non-Fickian Transport</title><author>Baeumer, Boris ; Zhang, Yong ; Schumer, Rina</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a4887-192ed23c43e0ac2623b7c44f34075509dfa7525aba377c807f2598f049b8c9c73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Computer Simulation</topic><topic>Diffusion</topic><topic>Dispersion</topic><topic>Groundwater</topic><topic>Lagrange multiplier</topic><topic>Mapping</topic><topic>Mathematical models</topic><topic>Models, Theoretical</topic><topic>Simulation</topic><topic>Velocity</topic><topic>Water Movements</topic><topic>Water Pollutants, Chemical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Baeumer, Boris</creatorcontrib><creatorcontrib>Zhang, Yong</creatorcontrib><creatorcontrib>Schumer, Rina</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Aqualine</collection><collection>Environment Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 3: Aquatic Pollution & Environmental Quality</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Environment Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Ground water</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Baeumer, Boris</au><au>Zhang, Yong</au><au>Schumer, Rina</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Incorporating Super-Diffusion due to Sub-Grid Heterogeneity to Capture Non-Fickian Transport</atitle><jtitle>Ground water</jtitle><addtitle>Groundwater</addtitle><date>2015-09</date><risdate>2015</risdate><volume>53</volume><issue>5</issue><spage>699</spage><epage>708</epage><pages>699-708</pages><issn>0017-467X</issn><eissn>1745-6584</eissn><coden>GRWAAP</coden><abstract>Numerical transport models based on the advection‐dispersion equation (ADE) are built on the assumption that sub‐grid cell transport is Fickian such that dispersive spreading around the average velocity is symmetric and without significant tailing on the front edge of a solute plume. 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| source | Wiley-Blackwell Journals; MEDLINE |
| subjects | Computer Simulation Diffusion Dispersion Groundwater Lagrange multiplier Mapping Mathematical models Models, Theoretical Simulation Velocity Water Movements Water Pollutants, Chemical |
| title | Incorporating Super-Diffusion due to Sub-Grid Heterogeneity to Capture Non-Fickian Transport |
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