Identification of Stream Dispersion Coefficients by Adjoint Sensitivity Method

Journal of Hydraulic Engineering

Volumn 125, Issue 7, 1999, Pages 714-724

  Piasecki, Michael ^a   Katopodes, Nikolaos D ^b  

^a Drexel University   (United States)

^b University of Michigan   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BATHYMETRY; DISPERSIONS; DIFFUSION; ESTUARIES; HYDRODYNAMICS; OPTIMIZATION; RIVERS; TURBULENCE; TWO DIMENSIONAL; VELOCITY;

ADJOINT SENSITIVITY METHOD; CONCENTRATION VALUES; CONDITION; DISPERSION COEFFICIENT; DISTRIBUTED DISPERSION; GRADIENT INFORMATIONS; NON-LINEAR OPTIMIZATION; NUMERICAL TECHNIQUES; OPTIMIZATION PROCEDURES; SQUARED ERRORS;

NONLINEAR PROGRAMMING; STREAM FLOW;

SENSITIVITY METHOD; STREAM DISPERSION COEFFICIENTS;

DISPERSION; ESTUARY; RIVER;

EID: 0032856655     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1999)125:7(714)     Document Type: Article

References (31)

1. Ahsan, A. K. M. Quamrul, Bruno, M. S., Oey, L.-Y., and Hires, R. (1994). ‘‘Wind-driven dispersion in New Jersey coastal waters.’’ J. Hydr. Engrg., ASCE, 120(11), 1264–1273.
2. Aris, R. (1956). ‘‘On the dispersion of a solute flowing through a tube.’’ Proc., Royal Soc., Series A, London, 235, 67–77.
3. Cacuci, D. G. (1981). ‘‘Sensitivity theory for nonlinear systems I. Nonlinear functional analysis approach.’’ J. Math. Phys., 22(12), 2794–2802.
4. Carrera, J., and Neuman, P. S. (1986). ‘‘Estimation of aquifer parameters under transient and steady state conditions: 2. Uniqueness, stability and solution algorithms.’’ Water Resour. Res., 22(2), 211–227.
5. Day, T. J. (1975). ‘‘Longitudinal dispersion in natural channels.’’ Water Resour. Res., 11(6), 909–918.
6. Elder, J. W. (1959). ‘‘The dispersion of marked fluid in turbulent shear flow.’’ J. Fluid Mech., Cambridge, England, 5, 544–560.
7. Fischer, H. B., List, J. E., Koh, R. C. Y., Imberger, J., and Brooks, N. H. (1979). Mixing in inland and coastal waters. Academic. San Diego.
8. Gharbi, S., and Verrette, J.-L. (1998). ‘‘Relation between longitudinal and transverse mixing coefficients in natural streams.’’ J. Hydr. Res., ASCE, 36(1), 43–53.
9. Hinz, S., Katopodes, N. D., Freedman, P., Sullivan, M. P., and Freudberg, S. A. (1989). ‘‘A FEM model for non-conservative plumes in the Potomac River.’’ Estuarine and coastal modeling, ASCE, Reston, Va., 233–240.
10. Katopodes, N. D. (1984). ‘‘Two dimensional surges and shocks in open channels.’’ J. Hydr. Engrg., ASCE, 110(6), 794–812.
11. Katopodes, N. D. (1987). ‘‘Finite element model for hydrodynamics and mass transport in the upper Potomac estuary.’’ Rep. to the Metropolitan Washington Council of Governments.
12. Lu, A. H., Schmittroth, F., and Yeh, W. W.-G. (1988). ‘‘Sequential estimation of aquifer parameters.’’ Water Resour. Res., 24(5), 670–682.
13. Marivoet, J. L., and Van Craenenbroeck, W. (1986). ‘‘Longitudinal dispersion in ship canals.’’ J. Hydr. Res., Delft, The Netherlands, 24(2), 123–132.
14. Mazumder, B. S., and Xia, R. (1994). ‘‘Dispersion of pollutants in an asymmetric flow through a channel.’’ Int. J. Engrg. Sci., 32(9), 311–319.
15. Neuman, P. S. (1980). ‘‘A statistical approach to the inverse problem of aquifer hydrology 3. Improved solution method and added perspective.’’ Water Resour. Res., 16(2), 331–346.
16. Okoye, J. K. (1970). ‘‘Characteristics of transverse mixing in open-channel flows.’’ W. M. Keck Lab. Rep. No. KH-R-23, California Institute of Technology, Pasadena, Calif.
17. Panchang, V. G., and O’Brien, J. J. (1989). ‘‘On the determination of hydraulic model parameters using the adjoint state formulation.’’ Modeling marine systems, Vol. 1, CRC, Boca Raton, Fla., 5–18.
18. Panchang, V. G., and Richardson, J. E. (1992). ‘‘Inverse adjoint estimation of eddy viscosity for coastal flow models.’’ J. Hydr. Engrg., ASCE, 119(4), 506–524.
19. Park, J. K., and James, A. (1986). ‘‘Modeling of pollutant dispersion in stratified oscillatory flows.’’ J. Envir. Engrg., ASCE, 112(5), 455–463.
20. Piasecki, M. (1994). ‘‘Optimal control of hazardous waste disposals in rivers and estuaries,’’ PhD thesis, Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, Mich.
21. Piasecki, M., and Katopodes, N. D. (1997). ‘‘Control of contaminant releases in rivers and estuaries. Part II: Optimal design.’’ J. Hydr. Engrg., ASCE, 123(6), 493–503.
22. Raymond, W. H., and Garder, A. (1976). ‘‘Selective damping in a Galerkin method for solving wave problems with variable grids.’’ Monthly Weather Rev., 104, 1583–1590.
23. Rodi, W. (1988). ‘‘Turbulence models and their application in hydraulics: A state-of-the-art review.’’ International Association for Hydraulic Research, Delft, The Netherlands.
24. Sun, N.-Z., and Yeh, W. W.-G. (1985). ‘‘Identification of parameter structure in groundwater inverse problem.’’ Water Resour. Res., 21(6), 869–883.
25. Sun, N.-Z., and Yeh, W. W.-G. (1992). ‘‘A stochastic inverse solution for transient groundwater flow: Parameter identification and reliability analysis.’’ Water Resour. Res., 28(12), 3269–3280.
26. Sykes, J. F. (1985). ‘‘Sensitivity analysis for steady state ground water flow using adjoint operators.’’ Water Resour. Res., 21(3), 359–371.
27. Taylor, G. I. (1953). ‘‘The dispersion of soluble matter in a solvent flowing slowly through a tube.’’ Proc., Royal Soc., Series A, London, 219, 186–203.
28. Yeh, W. W.-G. (1986). ‘‘Review of parameter identification procedures in groundwater hydrology: The inverse problem.’’ Water Resour. Res., 22(2), 95–108.
29. Yeh, W. W.-G., and Sun, N.-Z. (1990). ‘‘Variational sensitivity analysis, data requirements and parameter identification in a leaky aquifer system.’’ Water Resour. Res., 26(9), 1927–1938.
30. Yeremenko, Y. V. (1992). ‘‘Determination of the longitudinal dispersion coefficient in a free-surface unsteady flow.’’ Fluid Mech. Res., 21(3).
31. Yotsukura, N., Fischer, H. B., and Sayre, W. W. (1970). ‘‘Measurement of mixing characteristics of the Missouri River between Sioux City, Iowa, and Plattmouth, Nebraska.’’ USGS Water Supply Paper 1899-G.