Well-bore clogging of a pumping well in hydraulic interference with an ambient groundwater flow: the Strack-Kostitsina refraction problem in an annular composite redux
Explicit expressions for the vector fields of specific discharge and scalar fields of stream functions and piezometric heads in a Darcian steady-state essentially two-dimensional (2-D) flow through a three-component composite representing a vertical or horizontal well with a gravel pack and annular...
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| Veröffentlicht in: | Hydrogeology journal 2018-11, Vol.26 (7), p.2531-2541 |
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| creator | Kacimov, A. R. Obnosov, Yu. V. |
| description | Explicit expressions for the vector fields of specific discharge and scalar fields of stream functions and piezometric heads in a Darcian steady-state essentially two-dimensional (2-D) flow through a three-component composite representing a vertical or horizontal well with a gravel pack and annular skin are obtained and analysed. The refraction conditions along two concentric circles, which represent interfaces between three porous media of contrasting hydraulic conductivities, are exactly satisfied. Flow nets, isotachs, the locus of the stagnation point bounding the capture zone of the well, and functionals quantifying area-averaged hydraulic characteristics are found. The flow topology and drawdowns near the well illustrate that at small pumping rates a common concept of a purely radial 1-D flow can be superficially plausible but misleading. |
| doi_str_mv | 10.1007/s10040-018-1857-4 |
| format | Article |
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R. ; Obnosov, Yu. V.</creator><creatorcontrib>Kacimov, A. R. ; Obnosov, Yu. V.</creatorcontrib><description>Explicit expressions for the vector fields of specific discharge and scalar fields of stream functions and piezometric heads in a Darcian steady-state essentially two-dimensional (2-D) flow through a three-component composite representing a vertical or horizontal well with a gravel pack and annular skin are obtained and analysed. The refraction conditions along two concentric circles, which represent interfaces between three porous media of contrasting hydraulic conductivities, are exactly satisfied. Flow nets, isotachs, the locus of the stagnation point bounding the capture zone of the well, and functionals quantifying area-averaged hydraulic characteristics are found. 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V.</creatorcontrib><title>Well-bore clogging of a pumping well in hydraulic interference with an ambient groundwater flow: the Strack-Kostitsina refraction problem in an annular composite redux</title><title>Hydrogeology journal</title><addtitle>Hydrogeol J</addtitle><description>Explicit expressions for the vector fields of specific discharge and scalar fields of stream functions and piezometric heads in a Darcian steady-state essentially two-dimensional (2-D) flow through a three-component composite representing a vertical or horizontal well with a gravel pack and annular skin are obtained and analysed. The refraction conditions along two concentric circles, which represent interfaces between three porous media of contrasting hydraulic conductivities, are exactly satisfied. Flow nets, isotachs, the locus of the stagnation point bounding the capture zone of the well, and functionals quantifying area-averaged hydraulic characteristics are found. The flow topology and drawdowns near the well illustrate that at small pumping rates a common concept of a purely radial 1-D flow can be superficially plausible but misleading.</description><subject>Aquatic Pollution</subject><subject>Conductivity</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Equilibrium flow</subject><subject>Fields</subject><subject>Fields (mathematics)</subject><subject>Flow nets</subject><subject>Functionals</subject><subject>Geology</subject><subject>Geophysics/Geodesy</subject><subject>Gravel</subject><subject>Groundwater</subject><subject>Groundwater flow</subject><subject>Horizontal wells</subject><subject>Hydraulics</subject><subject>Hydrogeology</subject><subject>Hydrology/Water Resources</subject><subject>Interfaces</subject><subject>Loci</subject><subject>Porous media</subject><subject>Pumping</subject><subject>Pumping rates</subject><subject>Refraction</subject><subject>Skin</subject><subject>Stagnation point</subject><subject>Stream functions</subject><subject>Technical Note</subject><subject>Tidal bores</subject><subject>Topology</subject><subject>Two dimensional flow</subject><subject>Waste Water Technology</subject><subject>Water Management</subject><subject>Water Pollution Control</subject><subject>Water Quality/Water Pollution</subject><issn>1431-2174</issn><issn>1435-0157</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kcFu3CAURa0qlTqZ9gO6Q8qaFIw92NlVUZJGGSmLqdQlwvDwMLXBBazpfFF_szgTKatsgPc49z7QLYqvlFxTQvi3mNeKYEIbTJua4-pDsaIVq3On5hcvZ4pLyqtPxWWMB5Jpytmq-PcLhgF3PgBSg-9763rkDZJomsdpKY75HlmH9icd5DxYlYsEwUAApwAdbdoj6ZAcOwsuoT742emjzAgygz_eoLQHtEtBqt_4ycdkU7ROogAmt5L1Dk3BdwOMy5DFyLl5kAEpP04-2gQZ1fPfz8VHI4cIX173dbG7v_t5-wNvnx8eb79vsWSsTbiWHWhmWEm4VpTVnPKOato2clO3Jam72nDGgVeV4mB0x1ojteESOtVoztbF1dk1v-nPDDGJg5-DywNFSQlrm82m2WSKnikVfIz5J2IKdpThJCgRSxrinIbIaYglDVFlTXnWxMy6HsKb8_ui_-t7kXk</recordid><startdate>20181101</startdate><enddate>20181101</enddate><creator>Kacimov, A. 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R.</au><au>Obnosov, Yu. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Well-bore clogging of a pumping well in hydraulic interference with an ambient groundwater flow: the Strack-Kostitsina refraction problem in an annular composite redux</atitle><jtitle>Hydrogeology journal</jtitle><stitle>Hydrogeol J</stitle><date>2018-11-01</date><risdate>2018</risdate><volume>26</volume><issue>7</issue><spage>2531</spage><epage>2541</epage><pages>2531-2541</pages><issn>1431-2174</issn><eissn>1435-0157</eissn><abstract>Explicit expressions for the vector fields of specific discharge and scalar fields of stream functions and piezometric heads in a Darcian steady-state essentially two-dimensional (2-D) flow through a three-component composite representing a vertical or horizontal well with a gravel pack and annular skin are obtained and analysed. The refraction conditions along two concentric circles, which represent interfaces between three porous media of contrasting hydraulic conductivities, are exactly satisfied. Flow nets, isotachs, the locus of the stagnation point bounding the capture zone of the well, and functionals quantifying area-averaged hydraulic characteristics are found. The flow topology and drawdowns near the well illustrate that at small pumping rates a common concept of a purely radial 1-D flow can be superficially plausible but misleading.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s10040-018-1857-4</doi><tpages>11</tpages></addata></record> |
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| subjects | Aquatic Pollution Conductivity Earth and Environmental Science Earth Sciences Equilibrium flow Fields Fields (mathematics) Flow nets Functionals Geology Geophysics/Geodesy Gravel Groundwater Groundwater flow Horizontal wells Hydraulics Hydrogeology Hydrology/Water Resources Interfaces Loci Porous media Pumping Pumping rates Refraction Skin Stagnation point Stream functions Technical Note Tidal bores Topology Two dimensional flow Waste Water Technology Water Management Water Pollution Control Water Quality/Water Pollution |
| title | Well-bore clogging of a pumping well in hydraulic interference with an ambient groundwater flow: the Strack-Kostitsina refraction problem in an annular composite redux |
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