Steady infiltration in unsaturated soil from a buried circular cylinder: The separate contributions from top and bottom halves
作者:
A. C. Mandal,
R. T. Waechter,
期刊:
Water Resources Research
(WILEY Available online 1994)
卷期:
Volume 30,
issue 1
页码: 107-115
ISSN:0043-1397
年代: 1994
DOI:10.1029/93WR02468
数据来源: WILEY
摘要:
Waechter and Philip (1985) obtained the asymptotic expansion of the mean infiltration rate for largesfrom a buried circular cylinder using a scattering analog. Heres(= αl/2) is defined as the ratio of the characteristic lengthlof the water supply surface (in fact, its radius) to the sorptive length 2α−1of the soil and a satisfies the relationshipK(ψ) =K(0)eαψ, whereKis the hydraulic conductivity, and ψ is the moisture potential. This exact solution cannot be used directly to obtain the separate contributions to the mean infiltration rate from the top and the bottom halves of the cylinder; our analysis is based on a new class of special functions derived from the modified Bessel equation with a forcing term. In this paper, we obtain the separate asymptotics for the two halves for large s to make a comparison with the results of the trench problem (Waechter and Mandal, 1993). The asymptotic expansions for top and bottom halves are (2/π)(0.69553s−2/3) and (2/π)(1+0.30066s−2/3), respectively, whereas for a semicircular trench, the mean infiltration rate is given by (2/π)(1
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