Development of two-dimensional water quality management model using the reliability analysis method

A two-dimensional water quality management model, the unsteady/uncertainty water quality model (UUWQM), is developed for three kinds of analysis: hydrodynamic and advection–diffusion analyses by using the Petrov–Galerkin finite element method, and a reliability analysis by using uncertainty techniques. This model is then applied to a 35 km reach of the Nakdong River in Korea. Two-dimensional hydrodynamic and deterministic water quality analyses were performed in this reach. The Monte Carlo simulation (MCS) method was used to decide and verify 14 key input parameters among 80 total input parameters. These key input parameters were incorporated to compute exceedance probabilities and frequency distributions using the mean first-order second-moment (MFOSM) and MCS methods at several locations along this reach of the Nakdong River. From the results of the probable risk for water quality standard, it shows that the outputs from the MFOSM method were similar to those from the MCS method. In practical usage, the MFOSM method is more attractive in terms of its computational simplicity and shorter execution time. Therefore, the UUWQM can be applied efficiently and accurately to estimate the water quality distribution and the risk assessment for the specified water quality in any river.

[1]  P. Willems.  Quantification and relative comparison of different types of uncertainties in sewer water quality modeling. , 2008, Water research.

[2]  C. Melching,et al.  Improved first-order uncertainty method for water-quality modeling , 1992 .

[3]  Alain Mailhot,et al.  Mean-value second-order uncertainty analysis method: application to water quality modelling , 2003 .

[4]  William G. Gray,et al.  TIME-WEIGHTING OF THE MOMENTUM EQUATION IN EXPLICIT WAVE EQUATION MODELS OF SURFACE WATER FLOW. , 1982 .

[5]  Yeou-Koung Tung,et al.  Assessment of Probability Distribution of Dissolved Oxygen Deficit , 1988 .

[6]  Wilson H. Tang,et al.  Probability concepts in engineering planning and design , 1984 .

[7]  Arthur C. Miller,et al.  Uncertainty Analysis of Dissolved Oxygen Model , 1982 .

[8]  B. Giri,et al.  Modeling and Monte Carlo simulation of TCDD transport in a river. , 2001, Water research.

[9]  Yeou-Koung Tung,et al.  Hydrosystems Engineering Uncertainty Analysis , 2005 .

[10]  Søren Liedtke Thorndahl,et al.  Event based uncertainty assessment in urban drainage modelling applying the GLUE methodology , 2008 .

[11]  E Lindblom,et al.  Comparative uncertainty analysis of copper loads in stormwater systems using GLUE and grey-box modeling. , 2007, Water science and technology : a journal of the International Association on Water Pollution Research.

[12]  G. Freni,et al.  Uncertainty assessment of an integrated urban drainage model , 2009 .

[13]  A Deletic,et al.  Impact of input data uncertainties on urban stormwater model parameters. , 2009, Water science and technology : a journal of the International Association on Water Pollution Research.

[14]  Rui Zou,et al.  Neural Network Embedded Monte Carlo Approach for Water Quality Modeling under Input Information Uncertainty , 2002 .

[15]  Gabriele Freni,et al.  Uncertainty in urban stormwater quality modelling: the influence of likelihood measure formulation in the GLUE methodology. , 2009, The Science of the total environment.

[16]  Charles S. Melching,et al.  Key sources of uncertainty in QUAL2E model of passaic river , 1996 .

[17]  T D Fletcher,et al.  Stormwater quality models: performance and sensitivity analysis. , 2010, Water science and technology : a journal of the International Association on Water Pollution Research.

[18]  S. K. Park,et al.  Random number generators: good ones are hard to find , 1988, CACM.

[19]  M. Piasecki,et al.  Identification of Stream Dispersion Coefficients by Adjoint Sensitivity Method , 1999 .

[20]  G. Freni,et al.  Uncertainty in water quality modelling: The applicability of Variance Decomposition Approach , 2010 .

[21]  W. Rauch,et al.  Impact of input data uncertainties on stormwater model parameters , 2008 .

[22]  Nikolaos D. Katopodes.  Two‐Dimensional Surges and Shocks in Open Channels , 1984 .

[23]  Ashraf Ghanem.  Two-dimensional finite element modeling of flow in aquatic habitats , 1995 .

[24]  D. Lettenmaier,et al.  PROBABILISTIC METHODS IN STREAM QUALITY MANAGEMENT , 1975 .

[25]  H. Fischer.  Mixing in Inland and Coastal Waters , 1979 .

[26]  William G. Gray,et al.  ECONOMICAL ALTERNATIVES TO GAUSSIAN QUADRATURE OVER ISOPARAMETRIC QUADRILATERALS. , 1978 .

[27]  D. Zhao,et al.  Finite‐Volume Two‐Dimensional Unsteady‐Flow Model for River Basins , 1994 .

[28]  T. Hughes,et al.  A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline-upwind procedure. , 1982 .

[29]  P. P. Mujumdar,et al.  Risk minimization in water quality control problems of a river system , 2006 .

[30]  David C. Froehlich,et al.  Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane , 1985 .

[31]  Deg-Hyo Bae,et al.  STOCHASTIC WATER QUALITY ANALYSIS USING RELIABILITY METHOD1 , 2001 .