Transient well flow in layered aquifer systems: the uniform well-face drawdown solution
Previously a hybrid analytical–numerical solution for the general problem of computing transient well flow in vertically heterogeneous aquifers was proposed by the author. The radial component of flow was treated analytically, while the finite-difference technique was used for the vertical flow comp...
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Veröffentlicht in: | Journal of hydrology (Amsterdam) 1999-11, Vol.225 (1), p.19-44 |
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description | Previously a hybrid analytical–numerical solution for the general problem of computing transient well flow in vertically heterogeneous aquifers was proposed by the author. The radial component of flow was treated analytically, while the finite-difference technique was used for the vertical flow component only. In the present work the hybrid solution has been modified by replacing the previously assumed uniform well-face gradient (UWG) boundary condition in such a way that the drawdown remains uniform along the well screen. The resulting uniform well-face drawdown (UWD) solution also includes the effects of a finite diameter well, wellbore storage and a thin skin, while partial penetration and vertical heterogeneity are accommodated by the one-dimensional discretization. Solutions are proposed for well flow caused by constant, variable and slug discharges.
The model was verified by comparing wellbore drawdowns and well-face flux distributions with published numerical solutions. Differences between UWG and UWD well flow will occur in all situations with vertical flow components near the well, which is demonstrated by considering: (1) partially penetrating wells in confined aquifers, (2) fully penetrating wells in unconfined aquifers with delayed response and (3) layered aquifers and leaky multiaquifer systems.
The presented solution can be a powerful tool for solving many well-hydraulic problems, including well tests, flowmeter tests, slug tests and pumping tests. A computer program for the analysis of pumping tests, based on the hybrid analytical–numerical technique and UWG or UWD conditions, is available from the author. |
doi_str_mv | 10.1016/S0022-1694(99)00093-1 |
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The model was verified by comparing wellbore drawdowns and well-face flux distributions with published numerical solutions. Differences between UWG and UWD well flow will occur in all situations with vertical flow components near the well, which is demonstrated by considering: (1) partially penetrating wells in confined aquifers, (2) fully penetrating wells in unconfined aquifers with delayed response and (3) layered aquifers and leaky multiaquifer systems.
The presented solution can be a powerful tool for solving many well-hydraulic problems, including well tests, flowmeter tests, slug tests and pumping tests. A computer program for the analysis of pumping tests, based on the hybrid analytical–numerical technique and UWG or UWD conditions, is available from the author.</description><identifier>ISSN: 0022-1694</identifier><identifier>EISSN: 1879-2707</identifier><identifier>DOI: 10.1016/S0022-1694(99)00093-1</identifier><identifier>CODEN: JHYDA7</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Aquifers ; Computation ; Computer programs ; Earth sciences ; Earth, ocean, space ; Exact sciences and technology ; Flowmeters ; Flux ; Ground water ; Heterogeneity ; Hydrogeology ; Hydrology ; Hydrology. Hydrogeology ; Mathematical models ; Penetration ; Pump tests ; Pumping ; Replacing ; Storage ; Unconfined aquifers ; Unsteady flow ; Well screens ; Wells</subject><ispartof>Journal of hydrology (Amsterdam), 1999-11, Vol.225 (1), p.19-44</ispartof><rights>1999 Elsevier Science B.V.</rights><rights>1999 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a421t-4a578022756b8de06934e2ac459a35094754c76a5f7b90714cc772b3925ddde23</citedby><cites>FETCH-LOGICAL-a421t-4a578022756b8de06934e2ac459a35094754c76a5f7b90714cc772b3925ddde23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S0022-1694(99)00093-1$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1998292$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Hemker, C.J.</creatorcontrib><title>Transient well flow in layered aquifer systems: the uniform well-face drawdown solution</title><title>Journal of hydrology (Amsterdam)</title><description>Previously a hybrid analytical–numerical solution for the general problem of computing transient well flow in vertically heterogeneous aquifers was proposed by the author. The radial component of flow was treated analytically, while the finite-difference technique was used for the vertical flow component only. In the present work the hybrid solution has been modified by replacing the previously assumed uniform well-face gradient (UWG) boundary condition in such a way that the drawdown remains uniform along the well screen. The resulting uniform well-face drawdown (UWD) solution also includes the effects of a finite diameter well, wellbore storage and a thin skin, while partial penetration and vertical heterogeneity are accommodated by the one-dimensional discretization. Solutions are proposed for well flow caused by constant, variable and slug discharges.
The model was verified by comparing wellbore drawdowns and well-face flux distributions with published numerical solutions. Differences between UWG and UWD well flow will occur in all situations with vertical flow components near the well, which is demonstrated by considering: (1) partially penetrating wells in confined aquifers, (2) fully penetrating wells in unconfined aquifers with delayed response and (3) layered aquifers and leaky multiaquifer systems.
The presented solution can be a powerful tool for solving many well-hydraulic problems, including well tests, flowmeter tests, slug tests and pumping tests. A computer program for the analysis of pumping tests, based on the hybrid analytical–numerical technique and UWG or UWD conditions, is available from the author.</description><subject>Aquifers</subject><subject>Computation</subject><subject>Computer programs</subject><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Flowmeters</subject><subject>Flux</subject><subject>Ground water</subject><subject>Heterogeneity</subject><subject>Hydrogeology</subject><subject>Hydrology</subject><subject>Hydrology. 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Hydrogeology</topic><topic>Mathematical models</topic><topic>Penetration</topic><topic>Pump tests</topic><topic>Pumping</topic><topic>Replacing</topic><topic>Storage</topic><topic>Unconfined aquifers</topic><topic>Unsteady flow</topic><topic>Well screens</topic><topic>Wells</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hemker, C.J.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Environmental Engineering Abstracts</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>Hemker, C.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transient well flow in layered aquifer systems: the uniform well-face drawdown solution</atitle><jtitle>Journal of hydrology (Amsterdam)</jtitle><date>1999-11-22</date><risdate>1999</risdate><volume>225</volume><issue>1</issue><spage>19</spage><epage>44</epage><pages>19-44</pages><issn>0022-1694</issn><eissn>1879-2707</eissn><coden>JHYDA7</coden><abstract>Previously a hybrid analytical–numerical solution for the general problem of computing transient well flow in vertically heterogeneous aquifers was proposed by the author. The radial component of flow was treated analytically, while the finite-difference technique was used for the vertical flow component only. In the present work the hybrid solution has been modified by replacing the previously assumed uniform well-face gradient (UWG) boundary condition in such a way that the drawdown remains uniform along the well screen. The resulting uniform well-face drawdown (UWD) solution also includes the effects of a finite diameter well, wellbore storage and a thin skin, while partial penetration and vertical heterogeneity are accommodated by the one-dimensional discretization. Solutions are proposed for well flow caused by constant, variable and slug discharges.
The model was verified by comparing wellbore drawdowns and well-face flux distributions with published numerical solutions. Differences between UWG and UWD well flow will occur in all situations with vertical flow components near the well, which is demonstrated by considering: (1) partially penetrating wells in confined aquifers, (2) fully penetrating wells in unconfined aquifers with delayed response and (3) layered aquifers and leaky multiaquifer systems.
The presented solution can be a powerful tool for solving many well-hydraulic problems, including well tests, flowmeter tests, slug tests and pumping tests. A computer program for the analysis of pumping tests, based on the hybrid analytical–numerical technique and UWG or UWD conditions, is available from the author.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0022-1694(99)00093-1</doi><tpages>26</tpages></addata></record> |
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subjects | Aquifers Computation Computer programs Earth sciences Earth, ocean, space Exact sciences and technology Flowmeters Flux Ground water Heterogeneity Hydrogeology Hydrology Hydrology. Hydrogeology Mathematical models Penetration Pump tests Pumping Replacing Storage Unconfined aquifers Unsteady flow Well screens Wells |
title | Transient well flow in layered aquifer systems: the uniform well-face drawdown solution |
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