Entropy theory for derivation of infiltration equations

Water Resources Research

Volumn 46, Issue 3, 2010, Pages

  Singh, Vijay P ^a  

^a Texas A M University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY DISTRIBUTIONS; SOIL CONSERVATION; SOIL MOISTURE; WATER CONSERVATION; WATER MANAGEMENT;

AGRICULTURAL IRRIGATION; INFILTRATION PARAMETERS; INFILTRATION RATE; PRINCIPLE OF MAXIMUM ENTROPY; SHANNON ENTROPY; SOIL MOISTURE RETENTIONS; UNSATURATED SOIL; WATERSHED MANAGEMENT;

INFILTRATION;

EID: 78649508051     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1029/2009WR008193     Document Type: Article

References (39)

1. Barbé, D. E., J. F. Cruise, and V. P. Singh (1991), Solution of three-constraint entropy-based velocity distribution, J. Hydraul. Eng., 117 (10), 1389-1396, doi:10.1061/(ASCE)0733-9429(1991)117:10(1389).
2. Bauer, J. (1974), A modified Horton equation during intermittent rainfall, Hydrol. Sci. Bull., 19(2), 219-224.
3. Burgy, R. H., and J. N. Luthin (1956), A test of the single and double ring types of infiltrometers, Eos Trans. AGU, 27 (2), 189.
4. Chiu, C. L. (1987), Entropy and probability concepts in hydraulics, J. Hydraul. Eng., 113(5), 583-600.
5. Chiu, C. L. (1988), Entropy and 2-D velocity distribution in open channels, J. Hydraul. Eng., 114 (7), 738-756, doi:10.1061/(ASCE)0733-9429(1988) 114:7(738).
6. Chiu, C. L. (1989), Velocity distribution in open channel flow, J. Hydraul. Eng., 115(5), 576-594.
7. Chiu, C. L. (1991), Application of entropy concept in open channel flow study, J. Hydraul. Eng., 117 (5), 615-628, doi:10.1061/(ASCE)0733-9429(1991)117: 5(615).
8. Chu, S. T. (1978), Infiltration during an unsteady rain, Water Resour. Res., 14(3), 461-466, doi:10.1029/WR014i003p00461.
9. Crawford, N. H., and R. K. Linsley (1966), Digital simulation in hydrology: Stanford watershed model IV, Tech. Rep. 39, Stanford Univ., Palo Alto, Calif.
10. Donigian, A. S., and J. Imhoff (2006), History and evolution of watershed modeling derived from the Stanford watershed model, in Watershed Models, edited by V. P. Singh and D. K. Frevert, chap. 2, pp. 21-45, CRC Press, Boca Raton, Fla.
11. Green, W. H., and C. A. Ampt (1911), Studies on soil physics, I. Flow of air and water through soils, J. Agric. Sci., 4, 1-24, doi:10.1017/ S0021859600001441.
12. Holtan, H. N. (1961), A concept of infiltration estimates in watershed engineering, Rep. ARS41-51, Agric. Res. Serv., U.S. Dep. of Agric., Washington, D. C.
13. Horton, R. I. (1938), The interpretation and application of runoff plot experiments with reference to soil erosion problems, Soil Sci. Soc. Am. Proc., 3, 340-349.
14. Jaynes, E. T. (1958), Probability Theory in Science and Engineering, Colloquium Lectures Pure Appl. Sci., vol. 4, Socony Mobil Oil, Dallas, Tex.
15. Jaynes, E. T. (1982), On the rationale of maximum entropy methods, Proc. IEEE, 70, 939-952, doi:10.1109/PROC.1982.12425.
16. Jaynes, E. T. (2003), Probability Theory, 727 pp., Cambridge Univ. Press, Cambridge, U. K.
17. Kapur, J. N., and H. K. Kesavan (1992), Entropy Optimization Principles with Applications, Academic, New York.
18. Kostiakov, A. N. (1932), On the dynamics of the coefficient of water percolations in soils, paper presented at Sixth Commission, Int. Soc. of Soil Sci., Moscow.
19. Koutsoyiannis, D. (2005a), Uncertainty, entropy, scaling and hydrological stochastics. 1. Marginal distributional properties of hydrological processes and state scaling, Hydrol. Sci. J., 50 (3), 381-404, doi:10.1623/hysj.50.3.381. 65031.
20. Koutsoyiannis, D. (2005b), Uncertainty, entropy, scaling and hydrological stochastics. 2. Time dependence of hydrological processes and state scaling, Hydrol. Sci. J., 50(3), 405-426, doi:10.1623/hysj.50.3.405.65028.
21. Mishra, S. K., and V. P. Singh (2003), Soil Conservation Service Curve Number (SCS-CN) Methodology, Kluwer Acad., Dordrecht, Netherlands.
22. Mls, J. (1980), Effective rainfall estimation, J. Hydrol., 45, 305-311, doi:10.1016/0022-1694(80)90026-8.
23. Morel-Seytoux, H. J. (1981), Application of infiltration theory for the determination of excess rainfall hyetograph, Water Resour. Bull., 17(6), 1012-1022.
24. Overton, D. E. (1964), Mathematical refinement of an infiltration equation for watershed engineering, Rep. ARS 41-99, Agric. Res. Serv., U.S. Dep. of Agric., Washington, D. C.
25. Peschke, G., and M. Kutilek (1982), Infiltration model in simulated hydrographs, J. Hydrol., 56, 369-379, doi:10.1016/0022-1694(82)90023-3.
26. Philip, J. R. (1957), Theory of infiltration, parts 1 and 4, Soil Sci., 85(5), 345-357.
27. Rawls, W., P. Yates, and L. Asmussen (1976), Calibration of selected infiltration equations for the Georgia plain, Rep. ARS-S-113, Agric. Res. Serv., U.S. Dep. of Agric., New Orleans, La.
28. Shannon, C. E. (1948), The mathematical theory of communications, I and II, Bell Syst. Tech. J., 27, 379-423.
29. Shannon, C. E., and W. Weaver (1949), The Mathematical Theory of Communication, Univ. of Ill. Press, Urbana.
30. Singh, V. P. (1989), Hydrologic Systems, vol. 2, Watershed Modeling, Prentice Hall, Englewood Cliffs, N. J.
31. Singh, V. P. (Ed.) (1995), Computer Models of Watershed Hydrology, Water Resour. Publ., Littleton, Colo.
32. Singh, V. P. (1997), The use of entropy in hydrology and water resources, Hydrol. Processes, 11, 587-626, doi:10.1002/(SICI)1099-1085(199705)11: 6〈587::AID-HYP479〉3.0.CO;2-P.
33. Singh, V. P. (1998), Entropy-Based Parameter Estimation in Hydrology, Kluwer Acad., Dordrecht, Netherlands.
34. Singh, V. P., and D. K. Frevert (Eds.) (2002a), Mathematical Models of Large Watershed Hydrology, Water Resources Publ., Highlands Ranch, Colo.
35. Singh, V. P., and D. K. Frevert (Eds.) (2002b), Mathematical Models of Small Watershed Hydrology and Applications, Water Resources Publ., Highlands Ranch, Colo.
36. Singh, V. P., and D. K. Frevert (Eds.) (2006), Watershed Models, CRC Press, Boca Raton, Fla.
37. Singh, V. P., and D. A. Woolhiser (2002), Mathematical modeling of watershed hydrology, J. Hydrol. Eng., 7(4), 270-292, doi:10.1061/(ASCE)1084- 0699(2002)7:4(270).
38. Singh, V. P., and F. X. Yu (1990), Derivation of infiltration equation using systems approach, J. Irrig. Drain. Eng., 116(6), 837-858, doi:10.1061/(ASCE)0733-9437(1990)116:6(837).
39. Soil Conservation Service (1972), Hydrology, in SCS National Engineering Handbook, sect. 4, chap. 4-12, U.S. Dep. of Agric., Washington, D. C.