Unbiased identification of nonlinear sorption characteristics by soil column breakthrough experiments

Computational Geosciences

Volumn 9, Issue 4, 2005, Pages 203-217

  Knabner, P ^a   Igler, B A ^a   Totsche, K U ^b   Duchateau, P ^c  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^c Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Adaptation; Breakthrough experiment; Identification; Inverse problems; Output least squares minimization; Sorption

Indexed keywords

EID: 36649033506     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-005-9008-0     Document Type: Article

References (28)

1. J.W. Biggar and D.R. Nielsen, Miscible displacement: II. Behavior of tracers, Soil Sci. Soc. Am. Proc. 26 (1962) 125-128.
2. S. Bitterlich and P. Knabner, An efficient method for solving an inverse problem for the Richards equation, J. Comput. Appl. Math. 147 (2002) 153-173.
3. S. Bitterlich and P. Knabner, Adaptive and formfree identification of nonlinearities in fluid flow from column experiments, Contemp. Math. 295 (2002), 63-74.
4. S. Bitterlich and P. Knabner, Experimental design for outflow experiments based on a multi-level identification method for material laws, Inverse Probl. 19 (2003) 1011-1030.
5. S. Bitterlich, W. Durner, S.C. Iden and P. Knabner, Inverse estimation of the unsaturated soil hydraulic properties from column outflow experiments using free-form parameterizations, Vadose Zone J. 3 (2004), 971-981.
6. C.S. Bürgisser, M. Černik, M. Borkovec and H. Sticher, Determination of nonlinear adsorption isotherms from column experiments: An alternative to batch studies, Environ. Sci. Technol. 27 (1993), 943-948.
7. C. Chardaire, G. Chavent, J. Jaffré, J. Liu and B. Bourbiaux, Simultaneous estimation of relative permeabilities and capillary pressure, SPE Form. Eval. 7 (1992) 283-289.
8. G. Chavent, J. Zhang and C. Chardaire-Riviere, Estimation of mobilities and capillary pressure from centrifuge experiments, in: Inverse Problems in Engineering Mechanics, eds. H.D. Bui, M. Tanaka, M. Bonnet, H. Maigre, E. Luzzato and M. Reynier (Balkema, Rotterdam, 1994) pp. 265-272.
9. DuChateau, An introduction to inverse problems in partial differential equations for engineers, physicists and mathematicians, a tutorial, in: Proceedings of the workshop on parameter identification and inverse problems in hydrology, geology and ecology, eds. J. Gottlieb and P. DuChateau (Kluwer Academic Publ., 1995) pp. 3-50.
10. P. DuChateau, Monotonicity and invertibility of coefficient-to-data mappings for parabolic inverse problems, SIAM J. Math. Analy. 36(6) (1995) 1473-1487.
11. F.M. Dunnivant, P.M. Jardine, D.L. Taylor and J.F. McCarthy, Cotransport of cadmium and hexachlorobiphenyl by dissolved organic carbon through columns containing aquifer material, Environ. Sci. Technol. 26 (1992) 360-368.
12. E. Glueckauf, Theory of chromatography. Part IV. Precision measurement of adsorption and exchange isotherms from column elution data, J. Chem. Soc. (1949) 3280-3285.
13. G.H. Golub and C.F. van Loan, Matrix Computations, 3rd edition (John Hopkins University Press, Baltimore, 1996).
14. B. Igler, Identification of Nonlinear Coefficient Functions in Reactive Transport through Porous Media, PhD Thesis, University of Erlangen (1998).
15. B. Igler and P. Knabner, Structural identification of nonlinear coefficient functions in transport processes through porous media, in: Lectures on Applied Mathematics, eds. H.J. Bungartz et al. (Springer, Berlin, 2000) pp. 157-178.
16. D.G. Kinniburgh, General purpose adsorption isotherms, Environ. Sci. Technol. 20 (1986) 895-904.
17. P. Knabner, Finite-element-approximation of solute transport in porous media with general adsorption processes, in: Flow and Transport in Porous Media, ed. S.-T. Xiao (World Scientific Publishing, Singapore, 1992) pp. 223-292.
18. P. Knabner, K.U. Totsche and I. Kögel-Knabner, The modeling of reactive solute transport with sorption to mobile and immobile sorbents. 1. Experimental evidence and model development, Water Resour. Res. 32(6) (1996) 1611-1622.
19. J.C. Parker and M.Th. van Genuchten, Determining transport parameters from laboratory and field tracer experiments, Va. Agric. Exp. Stn., Bull. 84-3, 1984.
20. W.R. Roy, Adsorption-desorption, methodologies and selected estimation techniques for transportmodeling parameters, in: Migration and Fate of Pollutants in Soils and Subsoils, eds. D. Petruzzelli and F.G. Helfferich (Springer, Berlin, 1992).
21. K. Schittkowski, Solving constrained nonlinear least squares problems by a general purpose SQPmethod, in: Trends in Mathematical Optimization, volume 83, eds. K.-H. Hoffmann, J.-B. Hiriart- Urruty, C. Lemarechal and J. Zowe (Birkhäuser, 1988).
22. D. Schweich and M. Sardin, Adsorption, partition, ion exchange and chemical reaction in batch reactors or in columns - a review, J. Hydrol. 50 (1981) 1-33.
23. D. Schweich, M. Sardin and J.-P. Gaudet, Measurement of a cation exchange isotherm from elution curves obtained in a soil column: Preliminary results, Soil Sci. Soc. Am. J. 47 (1983) 32-37.
24. F. De Smedt and P.J. Wierenga, Solute transfer through columns of glass beads, Water Resour. Res. 20 (1984) 225-232.
25. K.U. Totsche, J. Danzer and I. Kögel-Knabner, DOM-enhanced retention of polycyclic aromatic hydrocarbons in soil miscible displacement experiments, J. Environ. Qual. 26 (1997) 1090-1100.
26. K.U. Totsche, P. Knabner and I. Kögel-Knabner, The modeling of reactive solute transport with sorption to mobile and immobile sorbents. 2. Model discussion and numerical simulation, Water Resour. Res. 32(6) (1996) 1623-1634.
27. M. van Veldhuizen, C.A.J. Appelo and J. Griffioen, The (least squares) quotient algorithm as a rapid tool for obtaining sorption isotherms from column elution curves, Water Resour. Res. 31 (1995) 849-857.
28. W.J. Weber Jr. and C.T. Miller, Modeling the sorption of hydrophobic contaminants by aquifer materials - II. Column reactor systems, Water Resour. Res. 22 (1988) 465-474.