New linearized two-parameter infiltration equation for direct determination of conductivity and sorptivity

dc.contributor.author	Valiantzas, JD	en
dc.date.accessioned	2014-06-06T06:50:36Z
dc.date.available	2014-06-06T06:50:36Z
dc.date.issued	2010	en
dc.identifier.issn	00221694	en
dc.identifier.uri	http://dx.doi.org/10.1016/j.jhydrol.2009.12.049	en
dc.identifier.uri	http://62.217.125.90/xmlui/handle/123456789/5080
dc.subject	Inverse problem	en
dc.subject	Linear fitting	en
dc.subject	Parameter time invariant	en
dc.subject	Soil infiltration models	en
dc.subject	Vadoze zone hydrology	en
dc.subject.other	Linear fitting	en
dc.subject.other	Soil infiltration	en
dc.subject.other	Soil infiltration models	en
dc.subject.other	Vadoze zone	en
dc.subject.other	Vadoze zone hydrology	en
dc.subject.other	Geologic models	en
dc.subject.other	Hydrology	en
dc.subject.other	Inverse problems	en
dc.subject.other	Linearization	en
dc.subject.other	Measurement errors	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Random errors	en
dc.subject.other	Seepage	en
dc.subject.other	Soil mechanics	en
dc.subject.other	Soils	en
dc.subject.other	Water	en
dc.subject.other	Soil surveys	en
dc.subject.other	hydraulic conductivity	en
dc.subject.other	infiltration	en
dc.subject.other	inverse problem	en
dc.subject.other	nonlinearity	en
dc.subject.other	soil profile	en
dc.subject.other	vadose zone	en
dc.title	New linearized two-parameter infiltration equation for direct determination of conductivity and sorptivity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jhydrol.2009.12.049	en
heal.publicationDate	2010	en
heal.abstract	A new two-parameter (the sorptivity, S [L/T0.5], and saturated soil hydraulic conductivity, Ks [L/T]) vertical infiltration equation is proposed. A three-parameter accurate approximate equation is derived. The proposed two-parameter equation is a specific solution that is approximately located at the middle of the domain of real soils defined by two ""limiting"" behavior soils. According to the proposed equation, plotting the square of cumulative infiltration, i [L], divided by time, t [T], as a function of i, a linear line is obtained and it is easy to determine S squared as the intercept and Ks as the slope of the line and to test the adequacy of the proposed equation. The equation approaches Philip semi-analytical infinite-series solution at small and moderate times, whereas the infiltration rate approaches the constant Ks at large times. It is expressed in a form explicit in i as function of t and vice versa. The equation is validated through comparison with other common nonlinear models (with two- and three-parameters) on a number of reference soils from the literature (both real and analytical) The parameter estimates of the equation are practically insensitive to the number of data points used in fitting, as well as to random measurement errors. Two illustrative infiltration tests for more realistic conditions (non-uniform soil and initial moisture profiles) were also performed. The tests demonstrate the advantage of the linearized equation over other common nonlinear models to be able visually detect and eventually eliminate abnormalities of infiltration process. © 2010 Elsevier B.V. All rights reserved.	en
heal.journalName	Journal of Hydrology	en
dc.identifier.issue	1-2	en
dc.identifier.volume	384	en
dc.identifier.doi	10.1016/j.jhydrol.2009.12.049	en
dc.identifier.spage	1	en
dc.identifier.epage	13	en