Analytic element modeling of cylindrical drains and cylindrical inhomogeneities in steady two-dimensional unsaturated flow

dc.contributor.author	Bakker, M	en
dc.contributor.author	Nieber, JL	en
dc.date.accessioned	2014-06-06T06:45:42Z
dc.date.available	2014-06-06T06:45:42Z
dc.date.issued	2004	en
dc.identifier.issn	15391663	en
dc.identifier.uri	http://62.217.125.90/xmlui/handle/123456789/2574
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-12544260031&partnerID=40&md5=c9803877b7e14e5119f1a39b1de3c97b	en
dc.subject.other	Analytic element method	en
dc.subject.other	Analytic evaluation	en
dc.subject.other	Co-ordinate transformation	en
dc.subject.other	Darcy flux	en
dc.subject.other	Governing equations	en
dc.subject.other	Inhomogeneities	en
dc.subject.other	Kirchhoff integral	en
dc.subject.other	Pressure heads	en
dc.subject.other	Saturated porous media	en
dc.subject.other	Uniform flow	en
dc.subject.other	Unsaturated flows	en
dc.subject.other	Unsaturated porous media	en
dc.subject.other	Vadose Zone	en
dc.subject.other	Helmholtz equation	en
dc.subject.other	Porous materials	en
dc.subject.other	Steady flow	en
dc.subject.other	Exponential functions	en
dc.title	Analytic element modeling of cylindrical drains and cylindrical inhomogeneities in steady two-dimensional unsaturated flow	en
heal.type	journalArticle	en
heal.publicationDate	2004	en
heal.abstract	The analytic element method, first developed for modeling flow in saturated porous media, is adapted to the solution of the governing equation for steady flow in unsaturated porous media. The governing equation for steady-state unsaturated flow is made amenable to analytic element solution through transformation with the Kirchhoff integral, representation of the hydraulic conductivity by an exponential function of the pressure head, and use of a coordinate transformation. A number of analytic elements are available for the resulting modified Helmholtz equation; analytic element equations are presented for uniform flow, cylindrical drains, and cylindrical inhomogeneities. The analytic element solution allows for the analytic evaluation of the pressure head, saturation, and Darcy flux at any point in the vadose zone. The applicability of the analytic element method to simulate unsatu-rated flow is demonstrated by solving for several cases of steady flow in a region containing arbitrarily located cylindrical inhomogeneities, and for flow in a region containing one cylindrical inhomogeneity and two cylindrical drains. © Soil Science Society of America.	en
heal.journalName	Vadose Zone Journal	en
dc.identifier.issue	3	en
dc.identifier.volume	3	en
dc.identifier.spage	1038	en
dc.identifier.epage	1049	en