Parameter uncertainty in chemical equilibrium calculations using fuzzy set theory

Journal of Hydrology

Volumn 217, Issue 1-2, 1999, Pages 119-134

  Schulz, K ^a   Huwe, B ^a   Peiffer, S ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

Cadmium sulfide; Chemical equilibrium; Fuzzy set theory; Imprecise parameters; Uncertainty

Indexed keywords

ALGEBRA; ALGORITHMS; CADMIUM COMPOUNDS; COMPUTATIONAL METHODS; FUZZY SETS; MEMBERSHIP FUNCTIONS; NATURAL WATER GEOCHEMISTRY; NONLINEAR EQUATIONS; PROBLEM SOLVING; RANDOM PROCESSES; THERMODYNAMICS;

CADMIUM SULFIDE; CHEMICAL EQUILIBRIUM; UNCERTAINTY ANALYSIS;

HYDROLOGY;

FUZZY MATHEMATICS; HYDROGEOCHEMISTRY;

EID: 0033118690     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(99)00016-5     Document Type: Article

References (35)

1. Bardossy, A., Bogardi, I., Kelly, W.E., 1988. Imprecise (fuzzy) information in geostatistics. Math.Geology 20, 533-540.
2. Bardossy, A., Bogardi, I., Kelly, W.E., 1990. Kriging with imprecise (fuzzy) variograms. I. Theory. Math. Geology 22, 63-79.
3. Bardossy, A., Duckstein, L., 1995. Fuzzy Rule-Based Modeling with Application to Geophysical, Economic, Biological, Engineering Systems. CRC-Press, London.
4. Civanlar, M.R., Trussell, HJ., 1986. Constructing membership functions using statistical data. Fuzzy Set and Systems 18, 1-13.
5. Daskalakis, K.D., Heiz, G.R., 1992. Solubility of CdS (greenockite) in sulfidic waters of 25°C. Environ. Sei. Technol. 26, 2462-2468.
6. Davies-Colley, R.J., Nelson, P.O., Williamson, K.J., 1985. Sulfide control of cadmium and copper concentrations in anaerobic estuarine sediments. Mar. Chem. 16, 173-186.
7. DiToro, T.M., Mahoney, J.D., Hansen, D.J., Scott, K.J., Carlson, A.R., Ankley, G.T., 1992. Acid volatile sulfide predicts the acute toxicity of cadmium and nickel in sediments. Environ. Sei. Technol. 26, 96-101.
8. Dou, C., Woldt, W., Bogardi, I., Dahab, M., 1995. Steady state groundwater flow simulations with imprecise parameters. Water Resour. Res. 31, 2709-2719.
9. Dubois, D., Prade, H., 1980. Fuzzy Sets and Systems, Theory and Application. Academic, San Diego, California.
10. Dyrssen, D., 1985. Metal complex formation in sulphidic seawater. Mar. Chem. 15, 285-293.
11. Dyrssen, D., 1988. Sulfide complexation in surface seawater. Mar. Chem. 24, 143-153.
12. Freeze, R.A., 1975. A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media. Water Resour. Res. 11, 725-741.
13. Kaufmann, A., Gupta, M.M., 1991. Introduction to Fuzzy Arithmetics. Van Nostrand Reinhold, New York.
14. Kruse, R., Gebhard, J., Klawonn, F., 1993. Fuzzy-Systeme. Teubner, Stuttgart.
15. Meyer, B., Ward, K., Koshlap, K., Peter, L., 1983. Second dissociation constant of hydrogen sulfide. Inorg. Chem. 22, 2345-2346.
16. Millero, F.J., 1986. The thermodynamics and kinetics of the hydrogen sulfide system in natural waters. Mar. Chem. 18, 121-147.
17. Morel, F.M.M., Hering, J.G., 1993. Principles and Applications of Aquatic Chemistry. Wiley, New York pp. 1 -96.
18. Myers, R.J., 1986. The new low value for the second dissociation constant of hydrogen sulfide. J. Chem. Educ. 63, 687-690.
19. Parkhust, D.L., Thorstenson, D.C., Plummer, L.N., 1980. PHREEQE-A Computer Program for Geochemical Calculations, Water-Resour. Invest. U.S. Geol. Surv. No. 80-96.
20. Peiffer, S., 1994. Predicting trace-metal speciation in sulphidic leachates from anaerobic solid-waste digestors by use of pH2S-value as a master variable. J. Contam. Hydrol. 16, 289-313.
21. Peters, R.W., Ku, Y., 1985. In: Peters, R.W., Kim, B.M. (Eds.). Seperation of Heavy Metals and Other Trace Contaminants, AlChE Symposium Series 243American Institute of Chemical Engineers, New York, pp. 9-27.
22. 5 Pa) pressure and at higher temperature, U.S. Geol. Surv. Bull. 1452, 457.
23. Schecher, W.D., Driscoll, C.T., 1987. An evaluation of uncertainty associated with aluminum equilibrium calculations. Water Resour. Res. 23, 525-534.
24. Schecher, W.D., Driscoll, C.T., 1988. An evaluation of the equilibrium calculations within acidification models, The effect of uncertainty in measured chemical components. Water Resour. Res. 24, 533-540.
25. Schittkowski, K., 1986. NLPQL, A FORTRAN subroutine solving constrained nonlinear programming problems. Ann. Oper. Res. 5, 485-500.
26. Schoonen, M.A.A., Barnes, H.L., 1988. An approximation of the second dissociation constant for H2S. Geochim. Cosmochim. Acta. 52, 649-654.
27. Schulz, K., Huwe, B., 1997. Water flow modeling in the unsaturated zone with imprecise parameters using a fuzzy approach. J. Hydrol. 201, 211-229.
28. Smith, R.E., Martell, A.E., 1976. Critical Stability Constants. Vol. 4 Inorganic Complexes. Plenum Press, New York.
29. Ste-Marie, J., Torma, A.E., Gübeli, A.O., 1964. The stability of thiocomplexes and solubility products of metal sulphides, I. Cadmium sulphide. Can. J. Chem. 42, 662-668.
30. Streit, B., 1994. Lexikon Ökotoxikologie. Verlag Chemie, Weinheim, Germany.
31. Striebel, T, Schäfer, W., Peiffer, S., 1991. How does landfill leachate affect the chemical processes in a lake system down-gradient from a landfill site. Aquatic Sei. 53, 346-366.
32. Stumm, W., Morgan, J.J., 1981. Aquatic Chemistry. 2. Wiley, New York.
33. Turksen, I., 1991. Measurement of membership functions and their acquisition. Fuzzy Sets and Systems 40, 5-38.
34. Westall, J.C., Zachary, J.L., Morel, F.M.M., 1976. MINEQL: A compact program for the calculation of chemical equilibrium composition of aqueous systems; R.M Parsons Lab. Techn. Note No 18. MIT, Cambridge, MA.
35. Zadeh, L.A., 1965. Fuzzy Sets. Inf. Control 8, 338-353.