Skip to main content
Log in

Time-dependent soil-water distribution under a circular trickle source

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Soil-water distribution in homogeneous soil profiles of Yolo clay loam and Yolo sand (Typic xerorthents) irrigated from a circular source of water, was measured several times after the initiation of irrigation. The effect of trickle discharge rates and soil type on the locations of the wetting front and soil-water distribution was considered. Soil-water tension and hydraulic conductivity, as functions of soil-water content, were also measured. The theories of time-dependent, linearized infiltration from a circular source and a finite-element solution of the two-dimensional transient soil-water equation were compared with the experimental results. In general, for both soils the computer horizontal and vertical advances of the wetting front were closely related to those observed. With both theories, a better prediction of the wetting front position for the clay loam soil than for the sandy soil is shown. The calculated and measured horizontal vertical advances did not agree over long periods of time. With the linearized solution, overestimated and underestimated vertical advances for the clay and sandy soils, respectively, were shown. The finite-element model approximate in a better way the vertical advances than the linearized solution, while an opposite tendency for the horizontal advances indicated, especially in sandy soil.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

k :

constant (dK/dθ)

K :

hydraulic conductivity

K 0 :

saturated hydraulic conductivity

J 0,J 1 :

Bessel functions of the first kind

h :

soil water tension

q :

Q/πr 20

Q :

discharge rate

r :

cylindrical coordinate; also horizontal distance in soil surface

R :

dimensionless quantity forr

r 0 :

constant pond radius

R 0 :

dimensionless quantity forr 0

t :

time

T :

dimensionless quantity fort

x, y :

Cartesian coordinates

z :

vertical coordinate; also vertical distance along thez axis chosen positively downward

Z :

dimensionless quantity forz

α :

empirical soil characteristic constant

λ :

dummy variable of integration

θ :

volumetric soil water content

ϕ :

matrix flux potential

φ :

dimensionless quantity for ϕ

References

  • Angelakis, N. A., 1977, Time-dependent soil water distribution in a two-dimensional profile of clay loam soil under a circular trickle source, MS Thesis, Univ. of California, Davis, Ca.

    Google Scholar 

  • Angelakis, A. N., 1990, Soil water distribution in trickle irrigation.Proc. 4th Hell. Hydrot. Congress on Water Resour. and Region. Devel., vol. 4, pp. 329–342 (in Greek).

    Google Scholar 

  • Brandt, A., Bresler, E., Diner, N., Ben-Asher, I., Heller, J., and Goldberg, D., 1971, Infiltration from a trickle source: I. Mathematical models,Soil Sci. Soc. Amer. J. 35, 675–682.

    Google Scholar 

  • Bresler, E., Heller, J., Diner, N., Ben-Asher, J., Brandt, A., and Goldberg, D., 1971, Infiltration from a trickle source: II. Experimental data and theoretical predictions,Soil Sci. Soc. Amer. J. 35, 683–689.

    Google Scholar 

  • Bucks, D. A., Nakayama, F. S., and Warrick, A. W., 1982, Principles, practices and potentialities of trickle (drip) irrigation,Adv. Irrig. 1, 219–300.

    Google Scholar 

  • Hachum, A. Y., Alfaro, J. F. and Willardson, L. S., 1976, Water movement in soil from trickle source,J. Irrig. and Drain. Eng. Div., ASCE, 179–192.

  • Lomen, D. O. and Warrick, A. W., 1976, Time-dependent linearized moisture flow solutions for surface source, in G. C. Vansteenkiste (ed.),System Simulation in Water Resources, North Holland, Amsterdam.

    Google Scholar 

  • Narasimhan, T. N. and Witherspoon, P. A., 1976, An integrated finite difference method for analyzing fluid flow in porous media,Water Resour. Res. 12, 57–64.

    Google Scholar 

  • Parlange, J.-Y., 1972, Two and three dimensional steady infiltration,Soil Sci. 113, 96–101.

    Google Scholar 

  • Philip, J. R., 1971, General theorem on steady infiltration from surface source, with application to point and line sources,Soil Sci. Soc. Amer. J. 53, 867–871.

    Google Scholar 

  • Philip, J. R., 1972, Steady infiltration from buried surface and perched point and line source in heterogeneous soils. I. Analysis,Soil Sci. Soc. Amer. J. 63, 268–272.

    Google Scholar 

  • Raats, P. A. C., 1971, Steady infiltration from point sources, cavities and basins,Soil Sci. Soc. Amer. J. 35, 689–694.

    Google Scholar 

  • Taghavi, S. A., Marino, M. A., and Rolston, D. E., 1984, Infiltration from a trickle irrigation source,J. Irrig. Drain. Eng. Div., ASCE 110, 331–341.

    Google Scholar 

  • Warrick, A. W., 1974, Time-dependent linearized infiltration: I. Point sources,Soil Sci. Soc. Amer. J. 38, 383–386.

    Google Scholar 

  • Warrick, A. W. and Lomen, D. O., 1976, Time-dependent linearized infiltration: III. Strip and disc sources,Soil Sci. Soc. Amer. J. 40, 639–643.

    Google Scholar 

  • Wooding, R. A., 1968, Steady infiltration from a circular pond,Water Resour. Res. 4, 1259–1273.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Angelakis, A.N., Kadir, T.N. & Rolston, D.E. Time-dependent soil-water distribution under a circular trickle source. Water Resour Manage 7, 225–235 (1993). https://doi.org/10.1007/BF01675305

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01675305

Key words

Navigation