Credit hours
In-class work per week |
Practice per week |
Credits |
Duration |
Total |
2 |
2 |
8 |
15 weeks |
120 hours |
Instructor
Jarbas Honorio de Miranda
Objective
To present a theoretical and practical introduction to computational models applied to soil water and solute dynamics under saturated ((groundwater) and unsaturated conditions.
Content
(1) Physical concepts - fundamental physical greatness applied to the hydrological cycle;
(2) Solving equations (bisection method, secant and Newton-Raphson),
(3) Soil physical properties,
(4) Transport in balance (equation of convection-dispersion / diffusion)
(5) Soil water retention curve (application of RETC model and exercises in EXCEL) (method of least squares adjustment of soil water retention curve),
(6) Applications STANMOD model (CFITIM) (adjustment of breakthrough curves (numerical methods),
(7) Introduction to MIDI model (Miranda, 2001),
(8) Introduction to the HYDRUS 1D model (Infiltration Problems),
(9) Application of MIDI and HYDRUS 1D to problems in water and solute dynamic
(10) Model Application-Hydrus 1D for solving inverse problems.
Bibliography
ANSARI, K.A. An Introduction to Numerical Methods Using Mathcad; Schroff Development Corp.: Spokane, WA, USA, 2007.
BEAR, J. Dynamics of fluids in porous media. New York: American Elsevier, 1972. 764 p.
BURDEN, R. L.; FAIURES, J. D. Numerical Analysis, Brooks/Cole, 6th ed., 1997.
CUNHA, C. Métodos Numéricos para as Engenharias e ciências aplicadas. UNICAMP, 1993, 265 p.
CURTIS, G.F.; WHEATLEY, P.O. Applied Numerical Analysis. California Polytechnic State University, 1999, 322 P.
HILLEL, D. Introduction to Environmental Soil Physics. Elsevier Science, San Diego, 2004. 485p.
KREYSZIG, E. Advanced Engineering Mathematics. John Wiley & Sons, 1993, 1271p.
MIRANDA, J.H. Modelo para simulação da dinâmica de nitrato em colunas verticais de solo não saturado. 2001. 79 f. Tese (Doutorado em Irrigação e Drenagem) - Escola Superior de Agricultura “Luiz de Queiroz”, Universidade de São Paulo, Piracicaba, 2001.
PREVEDELLO, C.L. Física do solo com problemas resolvidos. Curitiba: SAEAFS, 1996. 446p.
RADCLIFFE D. E,; Šimůnek, J. Soil Physics with HYDRUS: Modeling and Applications. CRC Press, Taylor & Francis Group, Boca Raton, FL, ISBN: 978-1-4200-7380-5, pp. 373, 2010.
REICHARDT, K. Dinâmica da matéria e da energia em ecossistemas. 2. ed. Piracicaba: ESALQ, 1996. 513p.
SKAGGS, T. H., LEIJ, F. J. Solute transport. In: Dane, J. H., and Topp, G. C., eds. “Methods of Soil Analysis, Part 4: Physical Methods.” Soil Science Society of America, Madison, WI. 2002.
THOMPSON, J.A.; COYNE, M.S. Math for Soil Scientists. 1st ed. Thompson-Delmar.ISBN-13 9780766842687, 2006.
van GENUCHTEN. Determining transport parameters from solute displacement experiments. Research Report. 1980.
WARRICK, A. W. Soil water dynamics. Oxford University Press, 2003, 391 p.
Artigos / Periódicos de Interesse:
Bresler, E. (1973). Simultaneous transport of solutes and water under transient unsaturated flow conditions. Water Resour. Res. 9, 975–986.
Jury, W. A. (1982a). Simulation of solute transport with a transfer function model. Water Resour. Res. 18, 363–368.
Jury, W. A. (1982b). Use of solute transport models to estimate salt balance below irrigated cropland. In: Hillel, D., ed. “Advances in Irrigation,” Vol. I. Academic Press, New York.
Jury, W. A., and Sposito, G. (1985). Field calibration and validation of solute transport models for the unsaturated zone. Soil Sci. Soc. Am. J. 49, 1331–1341.
van Genuchten, M. Th., and Shouse, P. J. (1989). Solute transport in heterogeneous field soils. In: Allen, D. T., Cohen, Y., and Kaplan, I. R., eds., “Intermedia Pollutant Transport: Modeling and Field Measurement.” Plenum Publishing Corp., New York.
van Genuchten, M. Th., and Wierenga, P. J. (1974). Simulation of one-dimensional solute transfer in porous media. Agric. Exp. Stn. Bulletin 628, New Mexico State Univ., Las Cruces, NM.
van Genuchten, M. Th., and Wierenga, P. J. (1976). Mass transfer studies in sorbing porous media: I. Analytical solutions. Soil Sci. Soc. Am. J. 40: 473–479.
van Genuchten, M. Th., and Alves, W. J. (1982). Analytical solutions of the onedimensional convective – dispersive solute-transport equation. USDA Tech. Bull. 1661.
van Genuchten, M. Th., Tang, D. H., and Guennelon, R. (1984). Some exact solutions for solute transport through soils containing large cylindrical macropores. Soil Sci. Soc. Am. J. 20, 1303–1310.
SOIL SCIENCE SOCIETY OF AMERICA JOURNAL
JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING
JOURNAL OF SOIL & WATER CONSERVATION
TRANSACTIONS OF THE ASABE