Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media
Long-term deep bed filtration in porous media with size exclusion particle capture mechanism is studied. For monodispersed suspension and transport in porous media with distributed pore sizes, the microstochastic model allows for upscaling and the exact solution is derived for the obtained macroscal...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/680693 |
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| author | Z. You P. Bedrikovetsky L. Kuzmina |
| author_facet | Z. You P. Bedrikovetsky L. Kuzmina |
| author_sort | Z. You |
| collection | DOAJ |
| description | Long-term deep bed filtration in porous media with size exclusion particle capture mechanism is studied. For monodispersed suspension and transport in porous media with distributed pore sizes, the microstochastic model allows for upscaling and the exact solution is derived for the obtained macroscale equation system. Results show that transient pore size distribution and nonlinear relation between the filtration coefficient and captured particle concentration during suspension filtration and retention are the main features of long-term deep bed filtration, which generalises the classical deep bed filtration model and its latter modifications. Furthermore, the exact solution demonstrates earlier breakthrough and lower breakthrough concentration for larger particles. Among all the pores with different sizes, the ones with intermediate sizes (between the minimum pore size and the particle size) vanish first. Total concentration of all the pores smaller than the particles turns to zero asymptotically when time tends to infinity, which corresponds to complete plugging of smaller pores. |
| format | Article |
| id | doaj-art-a2c49ee408be4dcdaae9787a80b4a438 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a2c49ee408be4dcdaae9787a80b4a4382025-02-03T01:10:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/680693680693Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous MediaZ. You0P. Bedrikovetsky1L. Kuzmina2Australian School of Petroleum, The University of Adelaide, Adelaide, SA 5005, AustraliaAustralian School of Petroleum, The University of Adelaide, Adelaide, SA 5005, AustraliaNational Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow 101000, RussiaLong-term deep bed filtration in porous media with size exclusion particle capture mechanism is studied. For monodispersed suspension and transport in porous media with distributed pore sizes, the microstochastic model allows for upscaling and the exact solution is derived for the obtained macroscale equation system. Results show that transient pore size distribution and nonlinear relation between the filtration coefficient and captured particle concentration during suspension filtration and retention are the main features of long-term deep bed filtration, which generalises the classical deep bed filtration model and its latter modifications. Furthermore, the exact solution demonstrates earlier breakthrough and lower breakthrough concentration for larger particles. Among all the pores with different sizes, the ones with intermediate sizes (between the minimum pore size and the particle size) vanish first. Total concentration of all the pores smaller than the particles turns to zero asymptotically when time tends to infinity, which corresponds to complete plugging of smaller pores.http://dx.doi.org/10.1155/2013/680693 |
| spellingShingle | Z. You P. Bedrikovetsky L. Kuzmina Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media Abstract and Applied Analysis |
| title | Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media |
| title_full | Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media |
| title_fullStr | Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media |
| title_full_unstemmed | Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media |
| title_short | Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media |
| title_sort | exact solution for long term size exclusion suspension colloidal transport in porous media |
| url | http://dx.doi.org/10.1155/2013/680693 |
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