Modelling of solute transport in rivers under different flow rates: A case study without transient storage

Acta Geophysica

Volumn 61, Issue 1, 2013, Pages 98-125

  Romanowicz, Renata J ^a   Osuch, Marzena ^a   Wallis, Steve ^b  

^a INSTITUTE OF GEOPHYSICS   (Poland)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

active mixing volume; advection dispersion; conservative solute transport; parameterisation; uncertainty analysis

Indexed keywords

ACTIVE MIXING; HETEROSCEDASTIC; MODEL PARAMETERS; MODELLING ERROR; PHYSICALLY BASED; SOLUTE TRANSPORT MODEL; TRACER EXPERIMENT; TRANSIENT STORAGE; VOLUME MODELS;

ADVECTION; DISPERSIONS; MIXING; PARAMETERIZATION; SOLUTE TRANSPORT; STOCHASTIC MODELS; UNCERTAINTY ANALYSIS;

FLOW RATE;

ADVECTION-DIFFUSION EQUATION; NUMERICAL MODEL; PARAMETERIZATION; RIVER FLOW; SOLUTE TRANSPORT; UNCERTAINTY ANALYSIS;

EID: 84870389776     PISSN: 18956572     EISSN: 18957455     Source Type: Journal    
DOI: 10.2478/s11600-012-0050-8     Document Type: Article

References (38)

1. Ani, E.-C., S. Wallis, A. Kraslawski, and P. S. Agachi (2009), Development, calibration and evaluation of two mathematical models for pollutant transport in a small river, Environ. Modelling Softw. 24, 10, 1139-1152, DOI: 10. 1016/j. envsoft. 2009. 03. 008.
2. Beer, T., and P. C. Young (1983), Longitudinal dispersion in natural streams, J. Environ. Eng. 109, 5, 1049-1067, DOI: 10. 1061/(ASCE)0733-9372(1983)109: 5(1049).
3. Beven, K. (2009), Environmental Modelling: An Uncertain Future?, Routledge, New York.
4. Beven, K., and A. Binley (1992), The future of distributed models: Model calibration and uncertainty prediction, Hydrol. Process. 6, 3, 279-298, DOI: 10. 1002/hyp. 3360060305.
5. Beven, K. J., and P. C. Young (1988), An aggregated mixing zone model of solute transport through porous media, J. Contam. Hydrol. 3, 2-4, 129-143, DOI: 10. 1016/0169-7722(88)90028-9.
6. Camacho, L. A., and R. A. Gonzáles (2008), Calibration and predictive ability analysis of longitudinal solute transport models in mountain streams, Environ. Fluid Mech. 8, 5-6, 597-604, DOI: 10. 1007/s10652-008-9109-0.
7. Czernuszenko, W., and P. M. Rowiński (1997), Properties of the dead-zone model of longitudinal dispersion in rivers, J. Hydraul. Res. 35, 4, 491-504, DOI: 10. 1080/00221689709498407.
8. Davis, P. M., and T. C. Atkinson (2000), Longitudinal dispersion in natural channels: 3. An aggregated dead zone model applied to the River Severn, U. K., Hydrol. Earth Syst. Sc. 4, 3, 373-381, DOI: 10. 5194/hess-4-373-2000.
9. Deng, Z. Q., L. Bengtsson, V. P. Singh, and D. D. Adrian (2002), Longitudinal dispersion coefficient in single-channel streams, J. Hydraul. Eng. 128, 10, 901-916, DOI: 10. 1061/(ASCE)0733-9429(2002)128: 10(901).
10. Fischer, H. B. (1967), The mechanics of dispersion in natural streams, J. Hydraul. Div. ASCE93, 6, 187-216.
11. French, R. H. (1986), Open-Channel Hydraulics, McGraw-Hill, New York.
12. Harvey, J. W., and B. J. Wagner (2000), Quantifying hydrologic interactions between streams and their subsurface hyporheic zones. In: J. B. Jones and P. J. Mulholland (eds.), Streams and Ground Waters, Academic Press, San Diego, 3-44.
13. Hudson, H. R., D. A. McMillan, and C. P. Pearson (1999), Quality assurance in hydrological measurement, Hydrol. Sci. J. 44, 5, 825-834, DOI: 10. 1080/02626669909492276.
14. Hunt, B. (1999), Dispersion model for mountain streams, J. Hydraul. Eng. 125, 2, 99-105, DOI: 10. 1061/(ASCE)0733-9429(1999)125: 2(99).
15. Kavetski, D., G. Kuczera, and S. W. Franks (2006), Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory, Water Resour. Res. 42, W03407, DOI: 10. 1029/2005WR004368.
16. Lees, M. J., L. A. Camacho, and S. Chapra (2000), On the relationship of transient storage and aggregated dead zone models of longitudinal solute transport in streams, Water Resour. Res. 36, 1, 213-224, DOI: 10. 1029/1999WR900265.
17. Nordin, C. F., and B. M. Troutman (1980), Longitudinal dispersion in rivers: The persistence of skewness in observed data, Water Resour. Res. 16, 1, 123-128, DOI: 10. 1029/WR016i001p00123.
18. Osuch, M., R. J. Romanowicz, and S. Wallis (2008), Uncertainty in the relationship between flow and parameters in models of pollutant transport, Publs. Inst. Geophys. Pol. Acad. Sc. E-10, 406, 127-138.
19. Pappenberger, F., K. J. Beven, K. Frodsham., R. J. Romanowicz, and P. Matgen (2007), Grasping the unavoidable subjectivity in calibration of flood inundation models: A vulnerability weighted approach, J. Hydrol. 333, 2-4, 275-287, DOI: 10. 1016/j. jhydrol. 2006. 08. 017.
20. Petersen-Øverleir, A. (2004), Accounting for heteroscedasticity in rating curve estimates, J. Hydrol. 292, 1-4, 173-181, DOI: 10. 1016/j. jhydrol. 2003. 12. 024.
21. Piotrowski, A., S. G. Wallis, J. J. Napiórkowski, and P. M. Rowiński (2007), Evaluation of 1-D tracer concentration profile in a small river by means of Multi-Layer Perceptron Neural Networks, Hydrol. Earth Syst. Sci. Discuss. 4, 4, 2739-2768, DOI: 10. 5194/hessd-4-2739-2007.
22. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1992), Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd ed., Cambridge University Press, Cambridge, 963 pp.
23. Romanowicz, R. J., and K. J. Beven (2006), Comments on generalised likelihood uncertainty estimation, Reliab. Eng. Syst. Safe. 91, 10-11, 1315-1321, DOI: 10. 1016/j. ress. 2005. 11. 030.
24. Romanowicz, R., H. Higson, and I. Teasdale (2000), Bayesian uncertainty estimation methodology applied to air pollution modelling, Environmetrics11, 3, 351-371, DOI: 10. 1002/(SICI)1099-095X(200005/06)11: 3〈351:: AIDENV424〉3. 0. CO; 2-Z.
25. Rowiński, P. M., and M. M. Chrzanowski (2011), Influence of selected fluorescent dyes on small aquatic organisms, Acta Geophys. 59, 1, 91-109, DOI: 10. 2478/s11600-010-0024-7.
26. Schmid, B. H. (2008), Can longitudinal solute transport parameters be transferred to different flow rates?, J. Hydrol. Eng. 13, 6, 505-509, DOI: 10. 1061/(ASCE)1084-0699(2008)13: 6(505).
27. Schmid, B. H., I. Innocenti, and U. Sanfilippo (2010), Characterizing solute transport with transient storage across a range of flow rates: The evidence of repeated tracer experiments in Austrian and Italian streams, Adv. Water Resour. 33, 11, 1340-1346, DOI: 10. 1016/j. advwatres. 2010. 06. 001.
28. Smith, P., K. Beven, J. Tawn, S. Blazkova, and L. Merta (2006), Dischargedependent pollutant dispersion in rivers: Estimation of aggregated dead zone parameters with surrogate data, Water Resour. Res. 42, W04412, DOI: 10. 1029/2005WR004008.
29. Smith, P., K. J. Beven, and J. A. Tawn (2008), Informal likelihood measures in model assessment: Theoretic development and investigation, Adv. Water Resour. 31, 8, 1087-1100, DOI: 10. 1016/j. advwatres. 2008. 04. 012.
30. Sorooshian, S., and J. A. Dracup (1980), Stochastic parameter estimation procedures for hydrologic rainfall-runoff models: Correlated and heteroscedastic error cases, Water Resour. Res. 16, 2, 430-442, DOI: 10. 1029/WR016i002p00430.
31. Taylor, G. I. (1954), The dispersion of matter in turbulent flow through a pipe, Proc. Roy. Soc. Lond. A223, 1155, 446-468, DOI: 10. 1098/rspa. 1954. 0130.
32. Wallis, S. G, and J. R. Manson (2004), Methods for predicting dispersion coefficients in rivers, Water Manage. 157, 3, 131-141.
33. Wallis, S., and R. Manson (2005), Modelling solute transport in a small stream using DISCUS, Acta Geophys. Pol. 53, 4, 501-515.
34. Wallis, S. G., P. C. Young, and K. J. Beven (1989), Experimental investigation of the aggregated dead zone model for longitudinal solute transport in stream channels, ICE Proc. 87, 1, 1-22, DOI: 10. 1680/iicep. 1989. 1450.
35. Wallis, S. G., A. Piotrowski, P. M. Rowiński, and J. J. Napiórkowski (2007), Prediction of dispersion coefficients in a small stream using Artificial Neural Networks. In: Proc. 32nd IAHR Congress, 1-6 July 2007, Venice, paper B2b-083-O.
36. Young, P. C. (1984), Recursive Estimation and Time-Series Analysis: An Introduction, Springer-Verlag, Berlin, 300 pp.
37. Young, P. C., and M. Lees (1993), The Active Mixing Volume (AMV): A new concept in modelling environmental systems. In: V. Barnett and K. F. Turkman (eds.), Statistics for the Environment, Chapter 1, John Wiley & Sons, Chichester, 3-44.
38. Young, P. C., and S. G. Wallis (1993), Solute transport and dispersion in stream channels. In: K. J. Beven and M. J. Kirkby (eds.), Channel Network Hydrology, John Wiley & Sons, Chichester, 128-173.