Transient Flow from Tension Infiltrometers I. The Two‐Parameter Equation

Soil Science Society of America Journal - Tập 64 Số 4 - Trang 1263-1272 - 2000
Jean‐Pierre Vandervaere1, Michel Vauclin1, Dave E. Elrick2
1Lab. d'étude des Transferts en Hydrologie et Environ. CNRS UMR 5564, INPG, IRD, UJF BP 53 38041 Grenoble Cedex 9 France
2Dep. of Land Resource Sci. Univ. of Guelph Guelph Ontario Canada N1G 2W1

Tóm tắt

Tension disk infiltrometer experiments are generally conducted until apparent steady state is reached because most of the methods of analysis are based on Wooding's solution for steady state flux. However, the time necessary to reach steady state may be a penalizing aspect for soils with low permeability and the information contained in the transient stages is not utilized. Moreover, these methods assume homogeneous soil and a uniform initial water content, which may be unrealistic when a large volume of soil is sampled. In this series, we propose and compare several new methods of analysis that are based on the transient stage of axisymmetric infiltration. In the first part, we show that a two‐parameter equation—one term linear in square root of time and one term linear in time—adequately describes the transient flow from the disk infiltrometer for both simulated and laboratory tests. The technique used for the determination of the two coefficients must meet two criteria; it must verify the validity of the two‐term equation throughout the duration of the experiment, and it must account for the early‐time perturbation that is induced by the sand‐contact layer placed between the disk and the soil. We show that the best technique consists in linearizing the data by differentiating cumulative infiltration with respect to the square root of time. Direct nonlinear fitting on cumulative infiltration or infiltration flux is likely to lead to unacceptable errors, either because of the undetected invalidity of the two‐parameter equation or arising from the influence of the contact layer.

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Tài liệu tham khảo

10.2136/sssaj1991.03615995005500020028x

10.1016/0022-1694(86)90112-5

10.1071/SR9870369

Brooks R.H., 1964, Hydrol. Paper 3

10.2136/sssaj1981.03615995004500020003x

10.1097/00010694-199401000-00002

10.1029/WR026i004p00759

10.1097/00010694-198108000-00001

10.1016/0022-1694(92)90032-Q

10.1097/00010694-195804000-00006

10.1029/94WR01788

10.1029/93WR02404

10.2136/sssaj1995.03615995005900010004x

10.1097/00010694-199506000-00002

10.1097/00010694-199704000-00001

10.2136/sssaj1993.03615995005700060005x

Marquart D.W., 1963, An algorithm for least squares estimation of non linear parameters, SIAM J. Appl. Math, 11, 431, 10.1137/0111030

10.1029/94WR01052

10.1097/00010694-199604000-00001

Parlange J.‐Y.On solving the flow equation in unsaturated soils by optimization: horizontal infiltration.Soil Sci. Soc. Am. Proc.197539415–418.https://doi.org/10.2136/sssaj1975.03615995003900030019x

10.2136/sssaj1977.03615995004100030049x

10.2136/sssaj1988.03615995005200050001x

10.1097/00010694-195709000-00010

10.1029/WR026i006p01219

10.2136/sssaj1994.03615995005800030009x

10.2136/sssaj1991.03615995005500030001x

10.1029/WR026i002p00279

10.2136/sssaj1990.03615995005400060002x

10.1071/SR9820295

10.1029/98WR00318

10.1029/96WR01525

10.1097/00010694-199706000-00001

10.1097/00010694-198709000-00002

10.1111/j.1365-2389.1989.tb01297.x

10.1029/94WR01787

10.1029/95WR01722

10.1071/SR9760103

10.1071/SR9720143

10.1016/0933-3630(91)90023-G

10.1097/00010694-197408000-00002

10.1016/S0022-1694(96)03160-5

10.2136/sssaj2000.6441272x

10.2136/sssaj1980.03615995004400050002x

Vauclin M., 1992, Multiple disk infiltrometers for field determination of surface hydraulic properties of a gravelly soil in Ivory Coast. (In French.) Agron, Trop, 46, 259

10.1029/92WR00149

10.1029/91WR02599

10.2136/sssaj1976.03615995004000050014x

10.1029/WR023i008p01514

White I., 1992, Advances in measurement of soil physical properties: Bringing theory into practice, 69

10.1029/WR004i006p01259

10.1097/00010694-196809000-00001

10.2136/sssaj1997.03615995006100040005x

10.2136/sssaj1997.03615995006100060008x

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Soil Science Society of America Journal

Tập 64 Số 4

1263-1272

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