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Inverse Problem for Looped River Networks – Lower Oder River Case Study

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Języki publikacji
EN
Abstrakty
EN
Identification of coefficients determining flow resistance, in particular Manning’s roughness coefficients, is one of the possible inverse problems of mathematical modeling of flow distribution in looped river networks. The paper presents the solution of this problem for the lower Oder River network consisting of 78 branches connected by 62 nodes. Using results of six sets of flow measurements at particular network branches it was demonstrated that the application of iterative algorithm for roughness coeffi cients identification on the basis of the sensitivity-equation method leads to the explicit solution for all network branches, independent from initial values of identifi ed coefficients.
Rocznik
Strony
105--118
Opis fizyczny
Bibliogr. 24 poz., tab., wykr.
Twórcy
  • Department of Hydroengineering, West Pomeranian University of Technology Piastów 50a, 70-311 Szczecin, Poland, jkurnatowski@zut.edu.pl
Bibliografia
  • [1] Altman, T., & Boulos, P.F. (1995). Solving Flow-Constrained Networks: Inverse Problem. J. Hydr. Engrg., ASCE, 121 (5), pp. 427-431.
  • [2] Aster, R.C., Borchers, B., & Thurber, C.H. (2005). Parameter Estimation and Inverse Problems. Elsevier Academic Press, 2005.
  • [3] Atanov, G.A., Evseeva, E.G., & Meselhe, E.A. (1999). Estimation of Roughness profile in Trapezoidal Open Channel. J. Hydr. Engrg., ASCE, 125 (3), pp. 309-312.
  • [4] Becker, L., & Yeh, W.W.-G. (1972). identification of parameters in unsteady open channel flows. WaterResources Res., 8 (4), pp. 956-965.
  • [5] Becker, L., & Yeh, W.W.-G. (1973). The identification of multiple reach channel parameters. Water Resources Res., 9 (2), pp. 326-335.
  • [6] Chow V.T. (1959). Open-Channel Hydraulics, McGraw-Hill, 1959.
  • [7] Das, A. (2004). Parameter estimation for flow in open-channel networks. J. Irrig. Drain. Eng., 130 (2), pp. 160-165.
  • [8] Ding, Y., & Wang, S.S.Y. (2005). Identification of Manning's roughness coefficients in channel network using adjoint analysis. Int. J. Comput. Fluid D., 19 (1), pp. 3-13.
  • [9] Ding, Y., Yafei Jia, Y., & Wang, S.S.Y. (2004). identification of Manning's Roughness Coefficients in Shallow Water Flows. J. Hydr. Engrg., ASCE, 130 (6), pp. 501-510.
  • [10] Fread, D.L., & Smith, G.G. (1978). Calibration techniques for 1-D unsteady flow models. J. Hydr. Div., ASCE, 104 (7), pp. 1027-1043.
  • [11] Gould, N.I.M., & Toint, P.L. (2001). A Quadratic Programming Bibliography. Numerical Analysis Group Internal Report 2000-1, ver. Oct. 2, Rutherford Appleton Laboratory Reports, Oxfordshire, England, 2001.
  • [12] Han, L.X. (2008). Parameter estimation in channel network flow simulation. Water Sci. Engrg., 1 (1), pp. 10-17.
  • [13] Khatibi, R.K., Williams, J.J.R., & Wormleaton, P.R. (1997). identification Problem of Open-Channel Friction Parameters. J. Hydr. Engrg., ASCE, 123 (12), pp. 1078-1088.
  • [14] Kurnatowski, J. (2011). Comparison of Analytical and Numerical Solutions for Steady, Gradually Varied Open-Channel Flow. Pol. J. Environ. Stud., 20 (4), pp. 925-930.
  • [15] Kurnatowski, J. (2009). River Roughness Coefficient as a Function of Vertical Reference System. Pol. J. Environ. Stud., 18 (5A), pp. 279-286.
  • [16] Kurnatowski, J., Orlewicz, S., Mroziński, Z., & Kreft, A. (1988). Studies on washability of organic bottom deposits in lower Oder riverbed. Water Management, 9 (479), Warsaw, pp. 201-202.
  • [17] Liggett, J.A., & Chen, L.-C. (1994). Inverse Transient Analysis in Pipe Networks. J. Hydr. Engrg., ASCE, 120 (8), pp. 934-955.
  • [18] Naidu, B.J., Murty Bhallamudi, S., & Narasimhan, S. (1997). GVF Computations in Tree-Type Channel Networks. J. Hydr. Engrg., ASCE, 123 (8), pp. 700-708.
  • [19] Nguyen, T.H., & Fenton, J.D. (2005). identification of Roughness for Flood Routing in Compound Channels. Proc. 31st Congress, Int. Assoc. Hydraulic Engrg. and Res., 11-16 Sept., CD-ROM, Seoul, Korea.
  • [20] Ramesh, R., Datta, B., MurtyBhallamudi, S., & Narayana, A. (2000). Optimal Estimation of Roughness in Open-Channel Flows. J. Hydr. Engrg., ASCE, 126 (4), pp. 299-303.
  • [21] Tang, H.W., Xin, X.K., Dai, W.H., & Xiao, Y. (2010). Parameter identification for modeling river network using a genetic algorithm. Journal of Hydrodynamics, Ser. B, 22 (2), pp. 246-253.
  • [22] Thinakaran, E., & Jothiprakash, V. (2012). River flow model using link node scheme. J. Environ. Res. Develop., 7 (1), pp. 139-145.
  • [23] Vieira, D.A., & Wu, W. (2002). CCHE1D version 3.0-model capabilities and applications. Technical Report No. NCCHE-TR-2002-05, National Center for Hydroscience and Engineering, Mississippi, 2002.
  • [24] WasanthaLal, A.M. (1995). Calibration of riverbed roughness. J. Hydr. Engrg., ASCE, 121 (9), pp. 664-671.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0028-0025
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