Probabilistic solution to soil water evaporated flow equation

Brooks, R.H. and Corey A.T. (1964). Hydraulic Properties of Porous. Media. Hydrol. Pap. 3, 27 pp., Colorado State University, Fort Collins.

Chang, J.S. and Cooper G. (1970). “A practical difference scheme for Fokker-Planck equations”.Journal Computational Physics, Vol. 6, pp. 1–16.

Chen, Z.-Q., Govindraju, R.S., and Kavvas, M.L. (1994a). “Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields: 1. Development of medels.”Water Resources Research, Vol. 30, pp. 523–533.

Chen, Z-Q., Govindraju, R.S., and Kavvas, M.L. (1994b). “Spatial averageing of unsaturated flow equations under infiltration conditions over areally heterogeneous fields: 1. Numerical simulations”.Water Resources Research, Vol. 30, pp. 535–548.

Green, W.H. and Ampt, G.A. (1911). “Studies on soil physics”.Journal Agricultural Science, Vol. 4, pp. 1–24.

Dagan, G. and Bresler, E. (1983). “Unsaturated flow in spatially variable fields, 1, derivation of models of infiltration and redistribution”.Water Resources Research, Vol. 19, pp. 413–420.

Kavvas, M.L. (2003). “Nonlinear hydrologic processes: conservation equations for their ensemble averages and probability distributions”.Journal of Hydrologic Engineering, Vol. 8, pp. 44–53.

Kavvas, M.L. and Karakas, A. (1996). “On the stochastic theory of solute transport by unsteady and steady groundwater flow in heterogeneous aquifers”.Journal of Hydrologic Engineering, Vol. 179, pp. 321–351.

Kim, S., Jang, S.H., Yoon, Y.N. and Yoon, J. (2004). “Probabilistic solution to infiltrated flow equation”. KSCEJournal of Civil Engineering, Vol. 8, pp. 651–662.

Kubo, R. (1963). “Stochastic liouville equations”.Journal Mathematical Physics, Vol. 4, pp. 174–183.

Mein, R.G. and Larson, C.L. (1973). “Modeling infiltration during a steady rain”.Water Resources Research, Vol. 9, pp. 384–394.

Van Kampen, N.G. (1981).Stochastic Processes in Physics and Chemistry, Elsevier North-Holland, Amsterdam, Netherland.

Yoon, J. and Kavvas, M.L. (2004). “Probabilistic solution to stochastic overland flow equation”.Journal Hydrologic Engineering, Vol 8, pp. 54–63.