A semi-analytical model of expected areal-average infiltration under spatial heterogeneity of rainfall and soil saturated hydraulic conductivity |
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| Institution: | 1. School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USA;2. Department of Civil and Environmental Engineering, University of Perugia, via G. Duranti 93, 06125 Perugia, Italy;1. Office of Hydrologic Development, National Weather Service, Building SSMC II, 1325 East West Highway, Silver Spring, MD 20910, USA;2. Department of Systems Engineering and Department of Statistics, University of Virginia, P.O. Box 400747, Charlottesville, VA 22904-4747, USA;1. Civil Engineering Program, Engineering Faculty, Universidad de Ibagué, Carrera 22 calle 67 B/Ambalá, 730001 Ibagué, Colombia;2. Faculty of Forest Engineering, Universidad del Tolima, B/Santa Helena, 730006299 Ibagué, Colombia;3. Research Institute on Water and Environmental Engineering, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain;1. T4E S.r.l., Via G. Tilli 58, Perugia 06127, Italy;2. Research Institute for Geo-Hydrological Protection,Via della Madonna Alta 126, Perugia 06128, Italy;3. Department of Civil and Environmental Engineering University of Perugia, Borgo XX Giugno 74, Perugia 06121, Italy;1. College of Resources Science, Sichuan Agricultural University, 211 Huimin Road, Chengdu, Sichuan 611130, China;2. College of Forestry, Sichuan Agricultural University, 211 Huimin Road, Chengdu, Sichuan 611130, China |
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| Abstract: | A semi-analytical model for the estimate of expected areal-average infiltration rate at hillslope scale is presented. It accounts for spatial heterogeneity of the saturated hydraulic conductivity, Ks, and rainfall rate, r. The Ks field is characterized by a lognormal probability density function while the rainfall rate r is represented by a uniform distribution between two extreme values. The model formulation relies upon the use of cumulative infiltration as the independent variable which is then expressed as a function of an expected time for use in practical applications. The solution is applicable for those ranges of r and Ks that allow for neglecting the infiltration of surface water running downslope into pervious soils (run-on process). The model was tested by comparisons with Monte Carlo simulations carried out for a variety of coefficients of variation of r and Ks over a clay loam soil and a sandy loam soil. The model was found to be very reliable both with coupled spatial variability of r and Ks and when only one variable is characterized by spatial heterogeneity while the other is uniform. |
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