Spatial Heterogeneity and Scale in the Infiltration Response of Catchments
The effect of spatial heterogeneity in soil and rainfall characteristics on the infiltration response of catchments is studied. Quasi-analytical expressions are derived for the statistics of the ponding time and the infiltration rate for two cases: (i) spatially variable soils and uniform rainfall, and (ii) constant soil properties and spatially variable rainfall. The derivations show that the cumulative ponding time distribution is a critical variable which governs the mean and covariance of the infiltration process. This distribution determines the proportion of the catchment which is soil controlled and the proportion which is rainfall controlled. The heterogeneity of the infiltration response, part being rainfall controlled and part soil controlled, causes a temporal variation in the correlograms. Over time, the correlation of the infiltration goes from the correlogram of the rainfall (at initial time) to that of the soil properties (at large time).
KeywordsRainfall Intensity Infiltration Rate Scale Problem Variable Soil Water Resource Research
Unable to display preview. Download preview PDF.
- Benjamin, J.R., and C.A. Cornell, 1970, Probability, Statistics, and Decision for Civil Engineers, McGraw-Hill, New York.Google Scholar
- Dooge, J.C.I., 1981, “Parameterization of Hydrologic Processes”, paper presented at the JSC Study Conference on Land Surface Processes in Atmospheric General Circulation Models, Greenbelt, USA, January, pp. 243–284.Google Scholar
- Ibrahim, H.A. and W. Brutsaert, 1968, “Intermittent Infiltration into Soils with Hysteresis”, ASCE, Journal of Hydrology, HY1, pp. 113–137.Google Scholar
- Journel, A.G., and Ch. J. Huijbregts, 1978, Mining Geostatistics, Academic Press, 600 pp.Google Scholar
- Milly, P.C.D. and P.S. Eagleson, 1982, “Infiltration and Evaporation at Inhomogeneous Land Surfaces”, MIT Ralph M. Parsons Laboratory Report No. 278, 180 pp.Google Scholar
- Mood, A.M., F.A. Graybill, and D.C. Boes, 1974, Introduction to the Theory of Statistics, McGraw-Hill, Third Edition, 564 pp.Google Scholar
- Nagao, M., and M. Kadoya, 1971, “Two Variate Exponential Distribution and its Numerical Table for Engineering Application”, Bull. Disas. Prev. Res. Inst., Kyoto University, Vol. 20, Part 3, No. 178, pp. 183–197.Google Scholar
- Philip, J.R., 1957, “The Theory of Infiltration”, Soil Science, Vols. 83, 84 and 85.Google Scholar
- Sharma, M.L., and E. Seely, 1979, “Spatial Variability and its Effects on Areal Infiltration”, Proceedings Hydrology and Water Resources Symposium, Inst. Eng., Australia, Perth, W.A., pp. 69–73.Google Scholar
- Sherman, L.K., 1943, “Comparison of F-curves Derived by the Methods Sharp and Holtan and of Sherman and Mayer”, Trans. Am. Geophys. Un., Vol. 24, pp. 465–467.Google Scholar
- Whittle, P., 1954, “On Stationary Processes in the Plane”, Biometrika, Vol. 41, pp. 434–449.Google Scholar
- Wood, E.F., M. Sivapalan, and K. Beven, 1986, “Scale Effects in Infiltration and Runoff Production”, Paper to be presented at the 2nd Scientific Assembly of the IAHS, Budapest Hungary, July 2–10, 1986.Google Scholar