An analytical solution to Richards' equation for time-varying infiltration

作者: A. W. Warrick , A. Islas , D. O. Lomen

DOI: 10.1029/91WR00310

关键词:

摘要: An analytical solution is developed for Richards equation time-varying infiltration. The infiltration rates must be specified as piecewise constants with time. answer expressed a sum of two terms, the first function instantaneous and second an integral which accounts water distribution within profile previous history. solutions assume specific forms soil diffusivity hydraulic functions used earlier by Broadbridge White (1988).

参考文章(7)
C. Rogers, M.P. Stallybrass, D.L. Clements, On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation Nonlinear Analysis: Theory, Methods & Applications. ,vol. 7, pp. 785- 799 ,(1983) , 10.1016/0362-546X(83)90034-2
A. W. Warrick, D. O. Lomen, A. Islas, An analytical solution to Richards' equation for a draining soil profile Water Resources Research. ,vol. 26, pp. 253- 258 ,(1990) , 10.1029/WR026I002P00253
P. Broadbridge, J. H. Knight, C. Rogers, Constant Rate Rainfall Infiltration in a Bounded Profile: Solutions of a Nonlinear Model Soil Science Society of America Journal. ,vol. 52, pp. 1526- 1533 ,(1988) , 10.2136/SSSAJ1988.03615995005200060002X
I. White, P. Broadbridge, Constant rate rainfall infiltration: A versatile nonlinear model: 2. Applications of solutions Water Resources Research. ,vol. 24, pp. 155- 162 ,(1988) , 10.1029/WR024I001P00155
P. Broadbridge, I. White, Constant rate rainfall infiltration: A versatile nonlinear model: 1. Analytic solution Water Resources Research. ,vol. 24, pp. 145- 154 ,(1988) , 10.1029/WR024I001P00145
P. Broadbridge, C. Rogers, Exact solutions for vertical drainage and redistribution in soils Journal of Engineering Mathematics. ,vol. 24, pp. 25- 43 ,(1990) , 10.1007/BF00128844
Donald A. McQuarrie, Handbook of Mathematical Functions American Journal of Physics. ,vol. 34, pp. 177- 177 ,(1966) , 10.1119/1.1972842