Relationships of longitudinal dispersivity and scale developed from fuzzy least-square regressions

Environmental Geology

Volumn 45, Issue 8, 2004, Pages 1172-1178

  Uddameri, V ^a  

^a TEXAS A AND M UNIVERSITY KINGSVILLE   (United States)

Author keywords

Correlation; Dispersivity; Fuzzy sets; Parameter estimation

Indexed keywords

CORRELATION METHODS; DATA REDUCTION; FUZZY SETS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; REGRESSION ANALYSIS; RELIABILITY;

LOG-LOG LINEARIZATION; LONGITUDINAL DISPERSIVITY;

GEOLOGY;

DISPERSION; MATHEMATICS; MODELING;

EID: 3042701944     PISSN: 09430105     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00254-004-0985-4     Document Type: Article

References (30)

1. Al-Suwaiyan MS (1996) Discussion of the use of weighted least-squares method in the evaluation of the relationship between dispersivity and field scale by m. Xu and y. Eckstein. Ground Water 34:578
2. Arya A (1986). Dispersion and reservoir heterogeneity. University of Texas, Austin, TX
3. ASTM (1995) E 1739-95: standard guide for risk-based corrective action applied at petroleum contaminated sites. American Society for Testing and Materials, West Conshohocken, PA
4. Bardossy A, Bogardi I, Duckstein L (1990) Fuzzy regression in hydrology. Water Resources Res 26:1497-1508
5. Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manage Sci 17:B141-B164
6. Chang Y-H, Ayyub BM (2001) Fuzzy regression methods - a comparative assessment. Fuzzy Sets Systems 119:187-203
7. Chang NB, Chen YL, Chen HW (1997) A fuzzy regression analysis for the construction cost estimation of waste water treatment plants. I. Theoretical development. J Environ Sci Health A32:885-899
8. Cox E (1995) The fuzzy system handbook. Academic Press, San Diego, CA
9. Diamond P (1988) Fuzzy least squares. Inform Sci 46:141-157
10. Dou C, Woldt W, Bogardi I, Dahab M (1997) Numerical solute transport simulation using fuzzy sets approach. J Contaminant Hydrol 27:107-126
11. Freissinet C, Vauclin M, Erlich M (1999) Comparison of first-order analysis and fuzzy set approach for the evaluation of imprecision in a pesticide groundwater pollution screening model. J Contaminant Hydrol 37:21-43
12. Freyberg DL (1988) An exercise in ground-water model calibration and prediction. Ground Water 26:350-360
13. Gelhar LW (1996) Stochastic subsurface hydrology Prentice Hall, New Jersey
14. Gelhar LW, Welty C, Rehfeldt KR (1992) A critical review of data on field-scale dispersion in aquifers. Water Resources Res 28:1955-1974
15. Guyonnet D, Come B, Perrochet P, Parriaux A (1999) Comparing two methods for addressing uncertainty in risk assessments. J Environ Eng 125:660-665
16. Hamilton LC (1992) Regression with graphics - a second course in applied statistics. Brooks/Cole, Pacific Grove, CA
17. Kaufmann A, Gupta MM (1985) Introduction to fuzzy arithmetic - theory and applications. Van Nostrand Reinhold, New York
18. Kim KJ, Moskowitz H, Koksalan M (1996) Fuzzy versus statistical linear regression. Eur J Operations Res 92:417-434
19. Luckner L, Schestakow WM (1991) Migration processes in the soil and groundwater zone. Lewis, Chelsea, MI
20. Neuman SP (1990) Universal scaling of hydraulic conductivities and dispersivities in geologic media. Water Resources Res 26:1749-1758
21. Neuman SP, Zhang Y-K (1990) A quasi-linear theory of non-fickian and fickian subsurface dispersion. 1. Theoretical analysis with application to isotropic media. Water Resources Res 26:887-902
22. Oreskes N, Shrader-Frechette K, Belitz K (1994) Verification, validation, and confirmation of numerical models in earth sciences. Science 263:641-646
23. Ozelkan EC, Duckstein L (2001) Fuzzy conceptual rainfall-runoff models. J Hydrol 253:41-68
24. Pickens JF, Grisak GE (1981) Modeling of scale dependent dispersion in hydrogeologic systems. Water Resources Res 17:1701-1711
25. Savic D, Pedrycz W (1991) Evaluation of fuzzy regression models. Fuzzy Sets Systems 39:51-63
26. Tanaka H, Uejima S, Asai K (1982) Linear regression analysis with fuzzy model. IEEE Trans Systems Manage Cyber SMC-12:903-906
27. USEPA (1996) Soil screening guidance: technical background document. United States Environmental Protection Agency, EPA/540/R-95/128, Washington, DC
28. Welty C, Gelhar LW (1994) Evaluation of longitudinal dispersivity from nonuniform tracer tests. J Hydrol 153:71-102
29. Xu M, Eckstein Y (1995) Use of weighted least-squares method in evaluation of the relationship between dispersivity and field scale. Ground Water 33:905-908
30. Zadeh LA (1965) Fuzzy sets. Inform Control 8:338-353