Phreatic seepage flow through an earth dam with an impeding strip
New mathematical models are developed and corresponding boundary value problems are analytically and numerically solved for Darcian flows in earth (rock)–filled dams, which have a vertical impermeable barrier on the downstream slope. For saturated flow, a 2-D potential model considers a free boundar...
Gespeichert in:
Veröffentlicht in: | Computational geosciences 2020-02, Vol.24 (1), p.17-35 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 35 |
---|---|
container_issue | 1 |
container_start_page | 17 |
container_title | Computational geosciences |
container_volume | 24 |
creator | Kacimov, A. R. Yakimov, N. D. Šimůnek, J. |
description | New mathematical models are developed and corresponding boundary value problems are analytically and numerically solved for Darcian flows in earth (rock)–filled dams, which have a vertical impermeable barrier on the downstream slope. For saturated flow, a 2-D potential model considers a free boundary problem to Laplace’s equation with a traveling-wave phreatic line generated by a linear drawup of a water level in the dam reservoir. The barrier re-directs seepage from purely horizontal (a seepage face outlet) to purely vertical (a no-flow boundary). An alternative model is also used for a hydraulic approximation of a 3-D steady flow when the barrier is only a partial obstruction to seepage. The Poisson equation is solved with respect to Strack’s potential, which predicts the position of the phreatic surface and hydraulic gradient in the dam body. Simulations with HYDRUS, a FEM-code for solving Richards’ PDE, i.e., saturated-unsaturated flows without free boundaries, are carried out for both 2-D and 3-D regimes in rectangular and hexagonal domains. The Barenblatt and Kalashnikov closed-form analytical solutions in non-capillarity soils are compared with the HYDRUS results. Analytical and numerical solutions match well when soil capillarity is minor. The found distributions of the Darcian velocity, the pore pressure, and total hydraulic heads in the vicinity of the barrier corroborate serious concerns about a high risk to the structural stability of the dam due to seepage. The modeling results are related to a “forensic” review of the recent collapse of the spillway of the Oroville Dam, CA, USA. |
doi_str_mv | 10.1007/s10596-019-09879-8 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2362698370</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2362698370</sourcerecordid><originalsourceid>FETCH-LOGICAL-a386t-ca0bb087cb5020f7aeec08d58a6ecdb2e0b77410081c3d99e4fdc225402bc7cc3</originalsourceid><addsrcrecordid>eNp9kE1LxDAQhoMouK7-AU8Bz9FJ0jbJcVn8AkEPeg5pOv1YdtuadFn898at4M3TDMPzzjAPIdccbjmAuoscclMw4IaB0cowfUIWPFeS8cyY09RnAlhi1Dm5iHEDAEZJviCrtzagmzpPI-LoGqT1djjQqQ3Dvmmp6ym6MLW0cjt66KbjpNuNWHV9Q-MUuvGSnNVuG_Hqty7Jx8P9-_qJvbw-Pq9XL8xJXUzMOyhL0MqXOQiolUP0oKtcuwJ9VQqEUqksPaO5l5UxmNWVFyLPQJReeS-X5GbeO4bhc49xspthH_p00gpZiMJoqSBRYqZ8GGIMWNsxdDsXviwH-6PKzqpsUmWPqqxOITmHYoL7BsPf6n9S38IDbC0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2362698370</pqid></control><display><type>article</type><title>Phreatic seepage flow through an earth dam with an impeding strip</title><source>Springer Nature - Complete Springer Journals</source><creator>Kacimov, A. R. ; Yakimov, N. D. ; Šimůnek, J.</creator><creatorcontrib>Kacimov, A. R. ; Yakimov, N. D. ; Šimůnek, J.</creatorcontrib><description>New mathematical models are developed and corresponding boundary value problems are analytically and numerically solved for Darcian flows in earth (rock)–filled dams, which have a vertical impermeable barrier on the downstream slope. For saturated flow, a 2-D potential model considers a free boundary problem to Laplace’s equation with a traveling-wave phreatic line generated by a linear drawup of a water level in the dam reservoir. The barrier re-directs seepage from purely horizontal (a seepage face outlet) to purely vertical (a no-flow boundary). An alternative model is also used for a hydraulic approximation of a 3-D steady flow when the barrier is only a partial obstruction to seepage. The Poisson equation is solved with respect to Strack’s potential, which predicts the position of the phreatic surface and hydraulic gradient in the dam body. Simulations with HYDRUS, a FEM-code for solving Richards’ PDE, i.e., saturated-unsaturated flows without free boundaries, are carried out for both 2-D and 3-D regimes in rectangular and hexagonal domains. The Barenblatt and Kalashnikov closed-form analytical solutions in non-capillarity soils are compared with the HYDRUS results. Analytical and numerical solutions match well when soil capillarity is minor. The found distributions of the Darcian velocity, the pore pressure, and total hydraulic heads in the vicinity of the barrier corroborate serious concerns about a high risk to the structural stability of the dam due to seepage. The modeling results are related to a “forensic” review of the recent collapse of the spillway of the Oroville Dam, CA, USA.</description><identifier>ISSN: 1420-0597</identifier><identifier>EISSN: 1573-1499</identifier><identifier>DOI: 10.1007/s10596-019-09879-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Approximation ; Boundary value problems ; Capillarity ; Computational fluid dynamics ; Computer simulation ; Dam stability ; Dams ; Earth ; Earth and Environmental Science ; Earth dams ; Earth Sciences ; Exact solutions ; Finite element method ; Forensic science ; Free boundaries ; Geotechnical Engineering & Applied Earth Sciences ; Hydraulic gradient ; Hydraulics ; Hydrogeology ; Mathematical Modeling and Industrial Mathematics ; Mathematical models ; Original Paper ; Poisson equation ; Pore pressure ; Pore water pressure ; Pressure head ; Saturated flow ; Seepage ; Seepage lines ; Soil ; Soil Science & Conservation ; Spillways ; Steady flow ; Structural stability ; Three dimensional flow ; Two dimensional flow ; Two dimensional models ; Unsaturated flow ; Water levels</subject><ispartof>Computational geosciences, 2020-02, Vol.24 (1), p.17-35</ispartof><rights>Springer Nature Switzerland AG 2019</rights><rights>Computational Geosciences is a copyright of Springer, (2019). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a386t-ca0bb087cb5020f7aeec08d58a6ecdb2e0b77410081c3d99e4fdc225402bc7cc3</citedby><cites>FETCH-LOGICAL-a386t-ca0bb087cb5020f7aeec08d58a6ecdb2e0b77410081c3d99e4fdc225402bc7cc3</cites><orcidid>0000-0003-2543-3219</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10596-019-09879-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10596-019-09879-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Kacimov, A. R.</creatorcontrib><creatorcontrib>Yakimov, N. D.</creatorcontrib><creatorcontrib>Šimůnek, J.</creatorcontrib><title>Phreatic seepage flow through an earth dam with an impeding strip</title><title>Computational geosciences</title><addtitle>Comput Geosci</addtitle><description>New mathematical models are developed and corresponding boundary value problems are analytically and numerically solved for Darcian flows in earth (rock)–filled dams, which have a vertical impermeable barrier on the downstream slope. For saturated flow, a 2-D potential model considers a free boundary problem to Laplace’s equation with a traveling-wave phreatic line generated by a linear drawup of a water level in the dam reservoir. The barrier re-directs seepage from purely horizontal (a seepage face outlet) to purely vertical (a no-flow boundary). An alternative model is also used for a hydraulic approximation of a 3-D steady flow when the barrier is only a partial obstruction to seepage. The Poisson equation is solved with respect to Strack’s potential, which predicts the position of the phreatic surface and hydraulic gradient in the dam body. Simulations with HYDRUS, a FEM-code for solving Richards’ PDE, i.e., saturated-unsaturated flows without free boundaries, are carried out for both 2-D and 3-D regimes in rectangular and hexagonal domains. The Barenblatt and Kalashnikov closed-form analytical solutions in non-capillarity soils are compared with the HYDRUS results. Analytical and numerical solutions match well when soil capillarity is minor. The found distributions of the Darcian velocity, the pore pressure, and total hydraulic heads in the vicinity of the barrier corroborate serious concerns about a high risk to the structural stability of the dam due to seepage. The modeling results are related to a “forensic” review of the recent collapse of the spillway of the Oroville Dam, CA, USA.</description><subject>Approximation</subject><subject>Boundary value problems</subject><subject>Capillarity</subject><subject>Computational fluid dynamics</subject><subject>Computer simulation</subject><subject>Dam stability</subject><subject>Dams</subject><subject>Earth</subject><subject>Earth and Environmental Science</subject><subject>Earth dams</subject><subject>Earth Sciences</subject><subject>Exact solutions</subject><subject>Finite element method</subject><subject>Forensic science</subject><subject>Free boundaries</subject><subject>Geotechnical Engineering & Applied Earth Sciences</subject><subject>Hydraulic gradient</subject><subject>Hydraulics</subject><subject>Hydrogeology</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematical models</subject><subject>Original Paper</subject><subject>Poisson equation</subject><subject>Pore pressure</subject><subject>Pore water pressure</subject><subject>Pressure head</subject><subject>Saturated flow</subject><subject>Seepage</subject><subject>Seepage lines</subject><subject>Soil</subject><subject>Soil Science & Conservation</subject><subject>Spillways</subject><subject>Steady flow</subject><subject>Structural stability</subject><subject>Three dimensional flow</subject><subject>Two dimensional flow</subject><subject>Two dimensional models</subject><subject>Unsaturated flow</subject><subject>Water levels</subject><issn>1420-0597</issn><issn>1573-1499</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</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>eNp9kE1LxDAQhoMouK7-AU8Bz9FJ0jbJcVn8AkEPeg5pOv1YdtuadFn898at4M3TDMPzzjAPIdccbjmAuoscclMw4IaB0cowfUIWPFeS8cyY09RnAlhi1Dm5iHEDAEZJviCrtzagmzpPI-LoGqT1djjQqQ3Dvmmp6ym6MLW0cjt66KbjpNuNWHV9Q-MUuvGSnNVuG_Hqty7Jx8P9-_qJvbw-Pq9XL8xJXUzMOyhL0MqXOQiolUP0oKtcuwJ9VQqEUqksPaO5l5UxmNWVFyLPQJReeS-X5GbeO4bhc49xspthH_p00gpZiMJoqSBRYqZ8GGIMWNsxdDsXviwH-6PKzqpsUmWPqqxOITmHYoL7BsPf6n9S38IDbC0</recordid><startdate>20200201</startdate><enddate>20200201</enddate><creator>Kacimov, A. R.</creator><creator>Yakimov, N. D.</creator><creator>Šimůnek, J.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L.G</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2P</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0003-2543-3219</orcidid></search><sort><creationdate>20200201</creationdate><title>Phreatic seepage flow through an earth dam with an impeding strip</title><author>Kacimov, A. R. ; Yakimov, N. D. ; Šimůnek, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a386t-ca0bb087cb5020f7aeec08d58a6ecdb2e0b77410081c3d99e4fdc225402bc7cc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Approximation</topic><topic>Boundary value problems</topic><topic>Capillarity</topic><topic>Computational fluid dynamics</topic><topic>Computer simulation</topic><topic>Dam stability</topic><topic>Dams</topic><topic>Earth</topic><topic>Earth and Environmental Science</topic><topic>Earth dams</topic><topic>Earth Sciences</topic><topic>Exact solutions</topic><topic>Finite element method</topic><topic>Forensic science</topic><topic>Free boundaries</topic><topic>Geotechnical Engineering & Applied Earth Sciences</topic><topic>Hydraulic gradient</topic><topic>Hydraulics</topic><topic>Hydrogeology</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematical models</topic><topic>Original Paper</topic><topic>Poisson equation</topic><topic>Pore pressure</topic><topic>Pore water pressure</topic><topic>Pressure head</topic><topic>Saturated flow</topic><topic>Seepage</topic><topic>Seepage lines</topic><topic>Soil</topic><topic>Soil Science & Conservation</topic><topic>Spillways</topic><topic>Steady flow</topic><topic>Structural stability</topic><topic>Three dimensional flow</topic><topic>Two dimensional flow</topic><topic>Two dimensional models</topic><topic>Unsaturated flow</topic><topic>Water levels</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kacimov, A. R.</creatorcontrib><creatorcontrib>Yakimov, N. D.</creatorcontrib><creatorcontrib>Šimůnek, J.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Water Resources Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>ProQuest Central Student</collection><collection>Aerospace Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><jtitle>Computational geosciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kacimov, A. R.</au><au>Yakimov, N. D.</au><au>Šimůnek, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Phreatic seepage flow through an earth dam with an impeding strip</atitle><jtitle>Computational geosciences</jtitle><stitle>Comput Geosci</stitle><date>2020-02-01</date><risdate>2020</risdate><volume>24</volume><issue>1</issue><spage>17</spage><epage>35</epage><pages>17-35</pages><issn>1420-0597</issn><eissn>1573-1499</eissn><abstract>New mathematical models are developed and corresponding boundary value problems are analytically and numerically solved for Darcian flows in earth (rock)–filled dams, which have a vertical impermeable barrier on the downstream slope. For saturated flow, a 2-D potential model considers a free boundary problem to Laplace’s equation with a traveling-wave phreatic line generated by a linear drawup of a water level in the dam reservoir. The barrier re-directs seepage from purely horizontal (a seepage face outlet) to purely vertical (a no-flow boundary). An alternative model is also used for a hydraulic approximation of a 3-D steady flow when the barrier is only a partial obstruction to seepage. The Poisson equation is solved with respect to Strack’s potential, which predicts the position of the phreatic surface and hydraulic gradient in the dam body. Simulations with HYDRUS, a FEM-code for solving Richards’ PDE, i.e., saturated-unsaturated flows without free boundaries, are carried out for both 2-D and 3-D regimes in rectangular and hexagonal domains. The Barenblatt and Kalashnikov closed-form analytical solutions in non-capillarity soils are compared with the HYDRUS results. Analytical and numerical solutions match well when soil capillarity is minor. The found distributions of the Darcian velocity, the pore pressure, and total hydraulic heads in the vicinity of the barrier corroborate serious concerns about a high risk to the structural stability of the dam due to seepage. The modeling results are related to a “forensic” review of the recent collapse of the spillway of the Oroville Dam, CA, USA.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s10596-019-09879-8</doi><tpages>19</tpages><orcidid>https://orcid.org/0000-0003-2543-3219</orcidid><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1420-0597 |
ispartof | Computational geosciences, 2020-02, Vol.24 (1), p.17-35 |
issn | 1420-0597 1573-1499 |
language | eng |
recordid | cdi_proquest_journals_2362698370 |
source | Springer Nature - Complete Springer Journals |
subjects | Approximation Boundary value problems Capillarity Computational fluid dynamics Computer simulation Dam stability Dams Earth Earth and Environmental Science Earth dams Earth Sciences Exact solutions Finite element method Forensic science Free boundaries Geotechnical Engineering & Applied Earth Sciences Hydraulic gradient Hydraulics Hydrogeology Mathematical Modeling and Industrial Mathematics Mathematical models Original Paper Poisson equation Pore pressure Pore water pressure Pressure head Saturated flow Seepage Seepage lines Soil Soil Science & Conservation Spillways Steady flow Structural stability Three dimensional flow Two dimensional flow Two dimensional models Unsaturated flow Water levels |
title | Phreatic seepage flow through an earth dam with an impeding strip |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T23%3A13%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Phreatic%20seepage%20flow%20through%20an%20earth%20dam%20with%20an%20impeding%20strip&rft.jtitle=Computational%20geosciences&rft.au=Kacimov,%20A.%20R.&rft.date=2020-02-01&rft.volume=24&rft.issue=1&rft.spage=17&rft.epage=35&rft.pages=17-35&rft.issn=1420-0597&rft.eissn=1573-1499&rft_id=info:doi/10.1007/s10596-019-09879-8&rft_dat=%3Cproquest_cross%3E2362698370%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2362698370&rft_id=info:pmid/&rfr_iscdi=true |