An approximate analytical solution for well flow in anisotropic layered aquifer systems
The mathematical problem of steady groundwater flow toward a pumping well in an aquifer system consisting of layers (or aquifers) with anisotropy of the horizontal conductivity is solved analytically for the first time. The solution is an approximation for relatively weak anisotropy. If more than on...
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| Veröffentlicht in: | Journal of hydrology (Amsterdam) 2004-08, Vol.296 (1), p.241-253 |
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| container_title | Journal of hydrology (Amsterdam) |
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| creator | Meesters, A.G.C.A. Hemker, C.J. van den Berg, E.H. |
| description | The mathematical problem of steady groundwater flow toward a pumping well in an aquifer system consisting of layers (or aquifers) with anisotropy of the horizontal conductivity is solved analytically for the first time. The solution is an approximation for relatively weak anisotropy. If more than one layer is horizontally anisotropic, the method requires that the principal directions of anisotropy are the same in all layers. The presented solution is based on a first order perturbation technique. Comparison with numerical calculations shows a good agreement as long as
T
min is nowhere less than 0.6
T
max. Layers with stronger anisotropy are also allowed, provided these are embedded in a system with layers of weaker anisotropy. |
| doi_str_mv | 10.1016/j.jhydrol.2004.03.021 |
| format | Article |
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T
min is nowhere less than 0.6
T
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T
min is nowhere less than 0.6
T
max. Layers with stronger anisotropy are also allowed, provided these are embedded in a system with layers of weaker anisotropy.</description><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Groundwater</subject><subject>Horizontal anisotropy</subject><subject>Layered aquifer</subject><subject>Mineralogy</subject><subject>Multi-aquifer system</subject><subject>Pumping tests</subject><subject>Silicates</subject><issn>0022-1694</issn><issn>1879-2707</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNqFkD1rHDEQhkVwIGc7PyGgxul2PZJW0m5ljMmHwZAmJqWQpRHRoVudpb04--8jcwcpPc00zzsfDyGfGPQMmLre9tvfqy859Rxg6EH0wNk7smGjnjquQZ-RDQDnHVPT8IGc17qFVkIMG_LrdqZ2vy_5b9zZBamdbVqX6GyiNafDEvNMQy70BVOiIeUXGltgjjUvJe-jo8muWNBT-3yIAQuta11wVy_J-2BTxY-nfkEev375efe9e_jx7f7u9qGzA-dL552Uwo8wsjCODgMqJ7TSk_TsiQlQ4D1jfuJCsfFJOsGEHJR1wAYBOigUF-TzcW574fmAdTG7WF071s6YD9XwsU3hTLwJMq0mJUA2UB5BV3KtBYPZl-amrIaBefVttubk27z6NiBM891yV6cFtjZ9odjZxfo_LCetB8kbd3PksGn5E7GY6iLODn0s6Bbjc3xj0z9_lJlk</recordid><startdate>20040820</startdate><enddate>20040820</enddate><creator>Meesters, A.G.C.A.</creator><creator>Hemker, C.J.</creator><creator>van den Berg, E.H.</creator><general>Elsevier B.V</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7TG</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20040820</creationdate><title>An approximate analytical solution for well flow in anisotropic layered aquifer systems</title><author>Meesters, A.G.C.A. ; Hemker, C.J. ; van den Berg, E.H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a422t-dc553d8081f88cefe6c376795d1b13060dd11d923618b5c313546ac014307f6e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Earth sciences</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>Groundwater</topic><topic>Horizontal anisotropy</topic><topic>Layered aquifer</topic><topic>Mineralogy</topic><topic>Multi-aquifer system</topic><topic>Pumping tests</topic><topic>Silicates</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Meesters, A.G.C.A.</creatorcontrib><creatorcontrib>Hemker, C.J.</creatorcontrib><creatorcontrib>van den Berg, E.H.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Aqualine</collection><collection>Meteorological & Geoastrophysical 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>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of hydrology (Amsterdam)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Meesters, A.G.C.A.</au><au>Hemker, C.J.</au><au>van den Berg, E.H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An approximate analytical solution for well flow in anisotropic layered aquifer systems</atitle><jtitle>Journal of hydrology (Amsterdam)</jtitle><date>2004-08-20</date><risdate>2004</risdate><volume>296</volume><issue>1</issue><spage>241</spage><epage>253</epage><pages>241-253</pages><issn>0022-1694</issn><eissn>1879-2707</eissn><coden>JHYDA7</coden><abstract>The mathematical problem of steady groundwater flow toward a pumping well in an aquifer system consisting of layers (or aquifers) with anisotropy of the horizontal conductivity is solved analytically for the first time. The solution is an approximation for relatively weak anisotropy. If more than one layer is horizontally anisotropic, the method requires that the principal directions of anisotropy are the same in all layers. The presented solution is based on a first order perturbation technique. Comparison with numerical calculations shows a good agreement as long as
T
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T
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| subjects | Earth sciences Earth, ocean, space Exact sciences and technology Groundwater Horizontal anisotropy Layered aquifer Mineralogy Multi-aquifer system Pumping tests Silicates |
| title | An approximate analytical solution for well flow in anisotropic layered aquifer systems |
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