Hydrodynamic Dispersion for Fluid Filtration Through a Porous Medium with Random Macroscopic Inhomogeneities
We study the convective diffusion of passive admixtures in the course of forced fluid filtration through a porous medium with frozen random inhomogeneities of macroscopic parameters. During the fluid filtration, the parameter inhomogeneities lead to spatially irregular flows and are responsible for...
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| Veröffentlicht in: | Radiophysics and quantum electronics 2019-01, Vol.61 (8-9), p.553-562 |
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| creator | Maryshev, B. S. Goldobin, D. S. |
| description | We study the convective diffusion of passive admixtures in the course of forced fluid filtration through a porous medium with frozen random inhomogeneities of macroscopic parameters. During the fluid filtration, the parameter inhomogeneities lead to spatially irregular flows and are responsible for dispersion of the fluid particles, which causes convective diffusion that is additional to molecular diffusion. In contrast to the molecular diffusion, this diffusion is anisotropic and directly proportional to the filtration flow velocity. We consider the inhomogeneities of both permeability and porosity of the medium and report on analytical results for the most common options of their statistical properties. It was assumed that the inhomogeneities are relatively small and their autocorrelation function decays with the distance
r
not slower than 1/
r
β
, where
β
> 1. Direct numerical simulation for different cases confirmed the validity of the restrictions we adopted and the correctness of the analytical findings. |
| doi_str_mv | 10.1007/s11141-019-09916-7 |
| format | Article |
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r
not slower than 1/
r
β
, where
β
> 1. Direct numerical simulation for different cases confirmed the validity of the restrictions we adopted and the correctness of the analytical findings.</description><identifier>ISSN: 0033-8443</identifier><identifier>EISSN: 1573-9120</identifier><identifier>DOI: 10.1007/s11141-019-09916-7</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Admixtures ; Astronomy ; Astrophysics and Astroparticles ; Autocorrelation functions ; Computer simulation ; Decay rate ; Direct numerical simulation ; Filtration ; Flow velocity ; Hadrons ; Heavy Ions ; Inhomogeneity ; Lasers ; Mathematical and Computational Physics ; Molecular diffusion ; Nuclear Physics ; Observations and Techniques ; Optical Devices ; Optics ; Parameters ; Photonics ; Physics ; Physics and Astronomy ; Porosity ; Porous media ; Quantum Optics ; Theoretical</subject><ispartof>Radiophysics and quantum electronics, 2019-01, Vol.61 (8-9), p.553-562</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2019</rights><rights>Radiophysics and Quantum Electronics is a copyright of Springer, (2019). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-789620b59bd14b696326ac2a4aa5c06c9677645d691465c0fbdc7ac4e1ef6ec03</citedby><cites>FETCH-LOGICAL-c319t-789620b59bd14b696326ac2a4aa5c06c9677645d691465c0fbdc7ac4e1ef6ec03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11141-019-09916-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11141-019-09916-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Maryshev, B. S.</creatorcontrib><creatorcontrib>Goldobin, D. S.</creatorcontrib><title>Hydrodynamic Dispersion for Fluid Filtration Through a Porous Medium with Random Macroscopic Inhomogeneities</title><title>Radiophysics and quantum electronics</title><addtitle>Radiophys Quantum El</addtitle><description>We study the convective diffusion of passive admixtures in the course of forced fluid filtration through a porous medium with frozen random inhomogeneities of macroscopic parameters. During the fluid filtration, the parameter inhomogeneities lead to spatially irregular flows and are responsible for dispersion of the fluid particles, which causes convective diffusion that is additional to molecular diffusion. In contrast to the molecular diffusion, this diffusion is anisotropic and directly proportional to the filtration flow velocity. We consider the inhomogeneities of both permeability and porosity of the medium and report on analytical results for the most common options of their statistical properties. It was assumed that the inhomogeneities are relatively small and their autocorrelation function decays with the distance
r
not slower than 1/
r
β
, where
β
> 1. Direct numerical simulation for different cases confirmed the validity of the restrictions we adopted and the correctness of the analytical findings.</description><subject>Admixtures</subject><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Autocorrelation functions</subject><subject>Computer simulation</subject><subject>Decay rate</subject><subject>Direct numerical simulation</subject><subject>Filtration</subject><subject>Flow velocity</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Inhomogeneity</subject><subject>Lasers</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular diffusion</subject><subject>Nuclear Physics</subject><subject>Observations and Techniques</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Parameters</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Porosity</subject><subject>Porous media</subject><subject>Quantum Optics</subject><subject>Theoretical</subject><issn>0033-8443</issn><issn>1573-9120</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kFFLwzAUhYMoOKd_wKeAz9XcNk2WR5nODTYUmc8hTdM1o21q0iL792ZO8M2nezmc79zLQegWyD0Qwh8CAFBICIiECAEs4WdoAjnPEgEpOUcTQrIsmVGaXaKrEPaERIzOJqhZHkrvykOnWqvxkw298cG6DlfO40Uz2hIvbDN4NRzFbe3duKuxwm8ubgFvTGnHFn_ZocbvqitdizdKexe062Peqqtd63amM3awJlyji0o1wdz8zin6WDxv58tk_fqymj-uE52BGBI-EywlRS6KEmjBBMtSpnSqqFK5JkwLxjmjeckEUBaVqig1V5oaMBUzmmRTdHfK7b37HE0Y5N6NvosnZQqCUgqC59GVnlzHf4M3ley9bZU_SCDy2Ko8tSpjq_KnVckjlJ2gEM3dzvi_6H-ob853e9c</recordid><startdate>20190115</startdate><enddate>20190115</enddate><creator>Maryshev, B. S.</creator><creator>Goldobin, D. S.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20190115</creationdate><title>Hydrodynamic Dispersion for Fluid Filtration Through a Porous Medium with Random Macroscopic Inhomogeneities</title><author>Maryshev, B. S. ; Goldobin, D. 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S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hydrodynamic Dispersion for Fluid Filtration Through a Porous Medium with Random Macroscopic Inhomogeneities</atitle><jtitle>Radiophysics and quantum electronics</jtitle><stitle>Radiophys Quantum El</stitle><date>2019-01-15</date><risdate>2019</risdate><volume>61</volume><issue>8-9</issue><spage>553</spage><epage>562</epage><pages>553-562</pages><issn>0033-8443</issn><eissn>1573-9120</eissn><abstract>We study the convective diffusion of passive admixtures in the course of forced fluid filtration through a porous medium with frozen random inhomogeneities of macroscopic parameters. During the fluid filtration, the parameter inhomogeneities lead to spatially irregular flows and are responsible for dispersion of the fluid particles, which causes convective diffusion that is additional to molecular diffusion. In contrast to the molecular diffusion, this diffusion is anisotropic and directly proportional to the filtration flow velocity. We consider the inhomogeneities of both permeability and porosity of the medium and report on analytical results for the most common options of their statistical properties. It was assumed that the inhomogeneities are relatively small and their autocorrelation function decays with the distance
r
not slower than 1/
r
β
, where
β
> 1. Direct numerical simulation for different cases confirmed the validity of the restrictions we adopted and the correctness of the analytical findings.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11141-019-09916-7</doi><tpages>10</tpages></addata></record> |
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| subjects | Admixtures Astronomy Astrophysics and Astroparticles Autocorrelation functions Computer simulation Decay rate Direct numerical simulation Filtration Flow velocity Hadrons Heavy Ions Inhomogeneity Lasers Mathematical and Computational Physics Molecular diffusion Nuclear Physics Observations and Techniques Optical Devices Optics Parameters Photonics Physics Physics and Astronomy Porosity Porous media Quantum Optics Theoretical |
| title | Hydrodynamic Dispersion for Fluid Filtration Through a Porous Medium with Random Macroscopic Inhomogeneities |
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