{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,4]],"date-time":"2025-10-04T22:10:19Z","timestamp":1759615819798,"version":"3.37.3"},"reference-count":15,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100007336","name":"University of Bucharest","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100007336","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We present an inverse method for the study of the seepage from soil channels without lining. We give integral representations of the complex potential, velocity field, stream lines, free phreatic lines, and contour of the channel by means of Levi-Civit\u00e1's function<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03c9<\/mml:mi><\/mml:mrow><\/mml:math>. For different values of the Taylor coefficients of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03c9<\/mml:mi><\/mml:mrow><\/mml:math>, we calculate numerically the contour of the channel, the phreatic lines, the seepage loss, the velocity field, the stream lines, and the equipotential lines. Examples are given for various symmetric or asymmetric channels, with smooth contours or with angular points.<\/jats:p>","DOI":"10.1155\/2012\/962963","type":"journal-article","created":{"date-parts":[[2012,7,31]],"date-time":"2012-07-31T17:01:37Z","timestamp":1343754097000},"page":"1-14","source":"Crossref","is-referenced-by-count":5,"title":["Free-Boundary Seepage from Asymmetric Soil Channels"],"prefix":"10.1155","volume":"2012","author":[{"given":"Adrian","family":"Carabineanu","sequence":"first","affiliation":[{"name":"Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Calea 13 Septembrie 13, 010702 Bucharest, Romania"},{"name":"Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania"}]}],"member":"311","reference":[{"issue":"1","key":"11","first-page":"68","volume":"129","year":"2003","journal-title":"Journal of Irrigation and Drainage Engineering"},{"year":"1962","key":"9"},{"year":"1962","key":"14","first-page":"xix+613"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/s10697-005-0009-4"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1134\/S0097807807030074"},{"volume":"248","journal-title":"Gosstroiizdat","year":"1939","key":"15"},{"volume":"36","journal-title":"Akademii Nauk SSSR","year":"1956","key":"13"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1029\/2005WR004140"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9429(2007)133:5(571)"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1029\/2009WR007899"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1002\/1521-4001(200206)82:6&lt;363::AID-ZAMM363&gt;3.0.CO;2-5"},{"issue":"20","key":"10","first-page":"104","year":"1983","journal-title":"Trudy Seminara po Kraevym Zadacham"},{"issue":"2","key":"3","first-page":"73","volume":"21","year":"2009","journal-title":"Matematicheskoe Modelirovanie"},{"issue":"7","key":"4","first-page":"563","volume":"37","year":"1992","journal-title":"Revue Roumaine de Math\u00e9matiques Pures et Appliqu\u00e9es"},{"issue":"60","key":"5","first-page":"3","volume":"2","year":"2011","journal-title":"Annals of the University of Bucharest"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/962963.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/962963.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/962963.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T19:02:32Z","timestamp":1470164552000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/962963\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":15,"alternative-id":["962963","962963"],"URL":"https:\/\/doi.org\/10.1155\/2012\/962963","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2012]]}}}