Analytical solutions to the stream-aquifer interaction problem: A critical review

Spanoudaki, K; Nanou-Giannarou, A; Paschalinos, Y; Memos, CD; Stamou, AI

dc.contributor.author	Spanoudaki, K	en
dc.contributor.author	Nanou-Giannarou, A	en
dc.contributor.author	Paschalinos, Y	en
dc.contributor.author	Memos, CD	en
dc.contributor.author	Stamou, AI	en
dc.date.accessioned	2014-03-01T01:32:46Z
dc.date.available	2014-03-01T01:32:46Z
dc.date.issued	2010	en
dc.identifier.issn	1790-7632	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20219
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77956451340&partnerID=40&md5=46ce70f3406af467886be694359e4a02	en
dc.subject	Analytical solutions	en
dc.subject	Ground water flow	en
dc.subject	Stream flow	en
dc.subject	Stream-aquifer interaction	en
dc.subject.classification	Environmental Sciences	en
dc.subject.other	BANK STORAGE	en
dc.subject.other	STREAM/AQUIFER INTERACTION	en
dc.subject.other	BOUSSINESQ EQUATION	en
dc.subject.other	RECHARGE VARIATIONS	en
dc.subject.other	RESPONSE FUNCTIONS	en
dc.subject.other	GROUNDWATER-FLOW	en
dc.subject.other	WATER	en
dc.subject.other	STAGE	en
dc.title	Analytical solutions to the stream-aquifer interaction problem: A critical review	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The aim of the present paper is to give a systematic and critical presentation of important existing analytical solutions for transient stream-aquifer interaction, which can be used to give answers to simple interaction problems or to verify mathematical models. Stream-aquifer interaction is the most common subject of papers discussing surface water-ground water interaction and a review of analytical solutions to the problem is lacking from the literature. The analytical solutions presented in the paper are firstly distinguished based on whether only the ground water flow equations or both the ground water and stream flow equations are solved for their derivation and secondly based on the type of aquifer (confined or unconfined) interacting with the stream and on the type of equations solved. The literature review showed that there is only a small number of publications, where the authors consider both the ground water and the stream flow equations for the development of the analytical solutions. The majority of the available analytical solutions of stream-aquifer interaction are derived by solving only the ground water flow equations, taking into account the stream water level as a boundary condition. For each analytical solution presented in the paper, its accuracy, its ease of application to simple interaction problems and its suitability for the verification of mathematical models are discussed in detail. Specifically for the case of predicting the water table level in unconfined aquifers interacting with streams, an analytical solution of the non-linear Boussinesq equation is compared to two analytical solutions of different linearized forms of the Boussinesq equation, in order to quantify the error in estimating the water table level when using a linear solution. Among the very few analytical solutions found in the literature, where the authors consider both the stream flow and ground water flow equations for their development, the most comprehensive one is chosen to give an application example, which can be used as a benchmark case for the verification of integrated stream-aquifer mathematical models. © Copyright 2010 Global NEST Printed in Greece. All rights reserved.	en
heal.publisher	GLOBAL NETWORK ENVIRONMENTAL SCIENCE & TECHNOLOGY	en
heal.journalName	Global Nest Journal	en
dc.identifier.isi	ISI:000297447900002	en
dc.identifier.volume	12	en
dc.identifier.issue	2	en
dc.identifier.spage	126	en
dc.identifier.epage	139	en