Review of Mathematical Models of Water Quality

Open access

Review of Mathematical Models of Water Quality

Water is one of the main elements of the environment which determine the existence of life on the Earth, affect the climate and limit the development of civilization. Water resources management requires constant monitoring in terms of its qualitative-quantitative values. Proper assessment of the degree of water pollution is the basis for conservation and rational utilization of water resources. Water quality in lakes and dams is undergoing continuous degradation caused by natural processes resulting from eutrophication and due to anthropogenic reasons. One of the tools that are used to solve problems of surface water pollution is modelling of changes which take place in lake waters and associated water quality changes. In the last thirty years a rapid development of mathematical modelling of water resources quality has been observed. A number of computer models have been designed which are successfully applied in practice in many countries, including Poland. This paper presents an overview of mathematical models for assessment of water quality in dam reservoirs. Description of the WASP program which will be used for modelling water quality in the Sulejow Reservoir was the focal point.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • Gromiec MJ. Mathematical Modeling of the Quality of Surface Waters. Warszawa: Instytut Meteorologii i Gospodarki Wodnej; 2008.

  • Holnicki P Nahorski Z Żochowski A. Modelling of Environment Processes. Warszawa: Wydawnictwo Wyższej Szkoły Informatyki Stosowanej i Zarządzania; 2000.

  • Chapra SC. Surface Water - Quality Modeling. New York - Toronto USA: McGraw-Hill Companies Inc.; 1997.

  • Bielak S. Assess and predict the ecological status of river ecosystem in Biebrza National Park. [PhD Thesis]. Kraków: Technical University of Krakow; 2009.

  • Balcerzak W. Application of selected mathematical models to evaluate changes in water quality. In: International Conference on Water Supply Water Quality and Protection. Kraków; 2000.

  • Cole T Buchak E. CE-QUAL-W2: A Two-Dimensional Laterally Averaged Hydrodynamic and Water Quality Model - Version 2.0. Tech. Rpt. Waterways Experiments Station. Vicksburg MS; 1995.

  • Chau KW. A three-dimensional eutrophication modeling in Tolo Harbour. Applied Mathematical Modelling. 2004; 28:849-861. DOI: 10.1016/j.apm.2004.04.002.

  • Manache G Melching SC. Sensitivity analysis of a water quality model using Latin hypercube sampling. Journal of Water Resources Planning and Management. 2006;130:232-242. DOI:10.1061/(ASCE)0733-9496(2004)130:3(232).

  • Blumberg AF Mellor GL. A coastal ocean numerical model. In: Proc. Int. Symp. on Math. Modelling of Estuarine Phys. Sundermann J Holz KP editors. Berlin: Springer; 1980:202-19. DOI:10.1061/(ASCE)0733-9429(1999)125:8(799).

  • Onishi Y Trent D. Mathematical Simulation of Sediment and Radionuclide Transport in Surface Waters. NUREG/CR-1034 Washington D. C.; 1981. DOI:10.1061/(ASCE)0733-9429(2008)134:1(1)

  • Papanicolaou AN Elhakeem M Krallis G Prakash S Edinger J. Sediment transport modeling review - current and future developments. J Hydraul Eng. 2008;134:1-14. DOI:10.1061/(ASCE)0733-9429(2008)134:1(1)

  • Schwarzenbach RP Gschwend PM Imboden DM. Environmental Organic Chemistry. New York: John Wiley & Sons; 1993.

  • Wool TA Ambrose RB Martin JL Comer EA. Water Quality Analysis Simulation Program (WASP) - version 6.0. USEPA Graft: User's Manual. US EPA: Atlanta G.A; 2001.

  • Di Toro DM Connolly JP. Mathematical Models of Water Quality in Large Lages Part 2: Lake Erie. USEPA. EPA-600/3-80-065 1980.

  • Ambrose RB. WASP4 A Hydrodynamic and Water Quality Model. Theory User's Manual and Programmer's Guide. USEPA Athens GA. EPA/600/3-87-039; 1988.

  • Balcerzak W Zimoch I. Mathematical modelling of water quality variations. Ochrona Środowiska. 1997;3:69-72.

  • Caruso BS. Modeling metals transport and sediment/water interactions in a mining impacted mountain stream. Journal of the American Water Resources Association. 2004;40:1603-1615. DOI: 10.1111/j.1752-1688.2004.tb01609.

  • Wagner I Izydorczyk K Kiedrzyńska E Mankiewicz-Boczek J Jurczak T Bednarek A et al. Ecohydrological system solutions to enhance ecosystem services: the Pilica River Demonstration Project. Ecohydrol Hydrobiol. 2009;9:13-39. DOI: 10.2478/V10104-009-0042-8.

  • Zimoch I Kłos M. Application of computer techniques to the estimation of surface water quality. Ochrona Środowiska. 2003;25:73-76.

  • Biedka P Dzienis L. Modelling of dissolved oxygen changes in water of lakes. Middle Pomeranian Science Society Environment Protection. 2009;11:849-860

  • Balcerzak W. Application of WASP-6 program for modelling of eutrophication process. Czasopismo Techniczne Technical University of Krakow. 2003;7:15-26.

Search
Journal information
Impact Factor

IMPACT FACTOR 2018: 1.467
5-year IMPACT FACTOR: 1.226

CiteScore 2018: 1.47

SCImago Journal Rank (SJR) 2018: 0.352
Source Normalized Impact per Paper (SNIP) 2018: 0.907

Cited By
Metrics
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 310 147 1
PDF Downloads 616 565 155