Quantifying uncertainty due to random errors for moment analyses of breakthrough curves

Journal of Hydrology

Volumn 303, Issue 1-4, 2005, Pages 165-175

  Brooks, Michael C ^a   Wise, William R ^b  

^a U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

Breakthrough curve; Moments; Random errors; Trapezoidal rule; Uncertainty

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; DISPERSIONS; RANDOM ERRORS;

BREAKTHROUGH CURVES (BTC); CONCENTRATION MEASUREMENTS; ONE-DIMENSIONAL ADVECTIVE-DISPERSION EQUATIONS; TAYLOR SERIES; VOLUME MEASUREMENTS; VOLUMETRIC MOMENTS;

HYDROLOGY;

BREAKTHROUGH CURVE; ERROR ANALYSIS; GROUNDWATER FLOW; NUMERICAL METHOD; UNCERTAINTY ANALYSIS;

EID: 14644409774     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.07.012     Document Type: Article

References (15)

1. G.W. Bohrnstedt, and A.S. Goldberger On the exact covariance of products of random variables Journal of the American Statistical Association 64 328 1969 1439 1442
2. D.I. Eikens, and P.W. Carr Application of the equation of error propagation to obtaining nonstochastic estimates for the reproducibility of chromatographic peak moments Analytical Chemistry 61 10 1989 1058 1062
3. M.A. Fahim, and N. Wakao Parameter estimation from tracer response measurements The Chemical Engineering Journal 25 1 1982 1 8
4. L.A. Goodman The variance of the product of K random variables Journal of the American Statistical Association 57 297 1960 54 60
5. C.N. Haas Moment analysis of tracer experiments Journal of Environmental Engineering 122 12 1996 1121 1123
6. C.N. Haas, J. Joffe, M.S. Heath, and J. Jacangelo Continuous flow residence time distribution function characterization Journal of Environmental Engineering 123 2 1997 107 114
7. Helms, A.D., 1997. Moment estimates for imperfect breakthrough data: Theory and application to a field-scale partitioning tracer experiment. Masters Thesis, University of Florida, Gainesville, p. 188.
8. M. Jin, M. Delshad, V. Dwarakanath, D.C. McKinney, G.A. Pope, K. Sepehrnoori, and C.E. Tilburg Partitioning tracer test for detection, estimation, and remediation performance assessment of subsurface nonaqueous phase liquids Water Resources Research 31 5 1995 1201 1211
9. M. Jin, R.E. Jackson, and G.A. Pope The interpretation and error analysis of PITT data G.B. Wickramanayake A.R. Gavaskar N. Gupta Treating Dense Nonaqueous-Phase Liquids (DNAPLs): Remediation of Chlorinated and Recalcitrant Compounds. The Second International Conference on Remediation of Chlorinated and Recalcitrant Compounds May 22-25 2000 Monterey California 22 25
10. M. Kendall, and A. Stuart The Advanced Theory of Statistics Distribution Theory vol. 1 1977 Macmillan Publishing Co., Inc. New York p. 472
11. L. Lapidus, and N.R. Amundson Mathematics of adsorption in beds. VI. The effect of longitudinal diffusion in ion exchange and chromatographic columns The Journal of Physical Chemistry 56 8 1952 984 988
12. M. Lynch, and B. Walsh Genetics and Analysis of Quantitative Traits 1998 Sinauer Associates, Inc. Sunderland, Massachusetts p. 980
13. A. Ogata, and R.B. Banks A solution of the differential equation of longitudinal dispersion in porous media US Geological Survey Professional Papers 1961 411-A
14. J. Skopp Estimation of true moments from truncated data AIChE Journal 30 1 1984 151 155
15. P.J. Winzer Accuracy of error propagation exemplified with ratios of random variables Review of Scientific Instruments 71 3 2000 1447 1454