Nonlocal reactive transport with physical, chemical, and biological heterogeneity
When a natural porous medium is viewed from an eulerian perspective, incomplete characterization of the hydraulic conductivity, chemical reactivity, and biological activity leads to nonlocal constitutive theories, irrespective of whether the medium has evolving heterogeneity with fluctuations over a...
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| Veröffentlicht in: | Advances in water resources 1997, Vol.20 (5), p.293-308 |
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| container_title | Advances in water resources |
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| creator | Hu, Bill X. Cushman, John H. Deng, Fei-Wen |
| description | When a natural porous medium is viewed from an eulerian perspective, incomplete characterization of the hydraulic conductivity, chemical reactivity, and biological activity leads to nonlocal constitutive theories, irrespective of whether the medium has evolving heterogeneity with fluctuations over all scales. Within this framework a constitutive theory involving nonlocal dispersive and convective fluxes and nonlocal sources/sinks is developed for chemicals undergoing random linear nonequilibrium reactions and random equilibrium first-order decay in a random conductivity field. The resulting transport equations are solved exactly in Fourier-Laplace space and then numerically inverted to real space. Mean concentration contours and various spatial moments are presented graphically for several covariance structures. © 1997 Published by Elsevier Science Ltd. All rights reserved |
| doi_str_mv | 10.1016/S0309-1708(96)00051-6 |
| format | Article |
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All rights reserved</description><subject>biodegradation</subject><subject>chemical reactions</subject><subject>contaminants</subject><subject>equations</subject><subject>groundwater contamination</subject><subject>groundwater flow</subject><subject>mathematics and statistics</subject><subject>pollutants</subject><subject>porous media</subject><subject>transport equations</subject><subject>transport processes</subject><issn>0309-1708</issn><issn>1872-9657</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKs_QdyTKLia7EeyOYkUv6AoUnsO2WTSjWw3NUkr_fduXfHqaWbgeWeYB6FTgq8JJvRmhnPMU8JwdcHpJca4JCndQyNSsSzltGT7aPSHHKKjED56qCpYNkJvL65rnZJt4kGqaDeQRC-7sHI-Jl82Nsmq2QbbA1eJamA5dLLTSW1d6xa7OWkggncL6MDG7TE6MLINcPJbx2j-cP8-eUqnr4_Pk7tpKvOqjGlGSy0ZFLTMeKGJobUmhBmMoaaVMVzWnFBtKmaKuqAqLyjnkDOTa1NLnZl8jM6HvSvvPtcQoljaoKBtZQduHQQpOSa4yHqwHEDlXQgejFh5u5R-KwgWO4HiR6DY2RGcih-Bgva5syFnpBNy4W0Q81mGSY5JmWeEsp64HQjo_9xY8CIoC50CbT2oKLSz_9z4BoXvgm0</recordid><startdate>1997</startdate><enddate>1997</enddate><creator>Hu, Bill X.</creator><creator>Cushman, John H.</creator><creator>Deng, Fei-Wen</creator><general>Elsevier Ltd</general><scope>FBQ</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7UA</scope><scope>C1K</scope></search><sort><creationdate>1997</creationdate><title>Nonlocal reactive transport with physical, chemical, and biological heterogeneity</title><author>Hu, Bill X. ; Cushman, John H. ; Deng, Fei-Wen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a385t-265da7e465294d1f6bd117f00eb68ff9ab916df87f4b46c34699e37f3dfbad2f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>biodegradation</topic><topic>chemical reactions</topic><topic>contaminants</topic><topic>equations</topic><topic>groundwater contamination</topic><topic>groundwater flow</topic><topic>mathematics and statistics</topic><topic>pollutants</topic><topic>porous media</topic><topic>transport equations</topic><topic>transport processes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hu, Bill X.</creatorcontrib><creatorcontrib>Cushman, John H.</creatorcontrib><creatorcontrib>Deng, Fei-Wen</creatorcontrib><collection>AGRIS</collection><collection>CrossRef</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><jtitle>Advances in water resources</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hu, Bill X.</au><au>Cushman, John H.</au><au>Deng, Fei-Wen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlocal reactive transport with physical, chemical, and biological heterogeneity</atitle><jtitle>Advances in water resources</jtitle><date>1997</date><risdate>1997</risdate><volume>20</volume><issue>5</issue><spage>293</spage><epage>308</epage><pages>293-308</pages><issn>0309-1708</issn><eissn>1872-9657</eissn><abstract>When a natural porous medium is viewed from an eulerian perspective, incomplete characterization of the hydraulic conductivity, chemical reactivity, and biological activity leads to nonlocal constitutive theories, irrespective of whether the medium has evolving heterogeneity with fluctuations over all scales. 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| ispartof | Advances in water resources, 1997, Vol.20 (5), p.293-308 |
| issn | 0309-1708 1872-9657 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_15901042 |
| source | Elsevier ScienceDirect Journals Complete |
| subjects | biodegradation chemical reactions contaminants equations groundwater contamination groundwater flow mathematics and statistics pollutants porous media transport equations transport processes |
| title | Nonlocal reactive transport with physical, chemical, and biological heterogeneity |
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