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Статті в журналах з теми "Estuarine pollution Mathematical models"

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Автор: Grafiati

Опубліковано: 10 грудня 2022

Оновлено: 29 січня 2023

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1

Drozdov, I. Yu, A. V. Aleksakhin, Yu V. Aleksakhina, and D. A. Petrusevich. "Mathematical models of water pollution evaluation." IOP Conference Series: Earth and Environmental Science 684, no. 1 (March 1, 2021): 012026. http://dx.doi.org/10.1088/1755-1315/684/1/012026.

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2

Qin, Xuan Hua, and Li Li Zheng. "Mathematical Models for Analysis of Water Pollution." Applied Mechanics and Materials 209-211 (October 2012): 1941–47. http://dx.doi.org/10.4028/www.scientific.net/amm.209-211.1941.

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The water qualityr was considered by multiple regression analysis. The linear relationship between integrated pollution index and weight pollution index were obtained, the 5 day biochemical oxygen demanded and total nitrogen were the most important pollution factor by the relationship. And then, the two main components influencing water quality were given based on the principal component analysis affecting data..

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3

Penenko, V. V., and E. A. Tsvetova. "Mathematical Models for Studying Environment Pollution Risks." Journal of Applied Mechanics and Technical Physics 45, no. 2 (March 2004): 260–68. http://dx.doi.org/10.1023/b:jamt.0000017589.01975.6d.

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4

HARASAWA, Hideo, Koji AMANO, and Masaaki NAITO. "Mathematical models of water pollution 6. Mathematical models for waste water treatment process 1." Japan journal of water pollution research 8, no. 1 (1985): 53–65. http://dx.doi.org/10.2965/jswe1978.8.53.

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5

Bose, S. K., P. Ray, and B. K. Dutta. "Mathematical Models for Mixing and Dispersion in Forecasting and Management of Estuarine Water Quality." Water Science and Technology 19, no. 9 (September 1, 1987): 183–93. http://dx.doi.org/10.2166/wst.1987.0079.

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The dispersion or spread of a dissolved or suspended substance in an estuarine system occurs mainly due to the non-uniformity of velocity distribution, including turbulent fluctuations, shear stress at the boundary and surface stress caused by winds. The mixing and dispersion phenomena in rivers and estuaries are extremely important in water quality management and control. The development of a dispersion model in harmony with the nature of the flow field in a river or estuary is necessary in the estimation and correlation of dispersion parameters, called dispersion coefficients, which may, in general, be anisotropic in a multidimensional transport process. The earlier one-dimensional models have gradually given way to higher dimensional models for better description of the phenomena as well as for more accurate estimation of parameters. Field studies of dispersion of tracers have been the most important method of generating data for parameter estimation. A number of correlations for mixing and dispersion coefficients in terms of flow rates and other fundamental system parameters are available. The present study incorporates the analysis, assessment and applications of various dispersion and mixing models available. Also, a critical appraisal of the validity, inherent degree of uncertainty and the range of applications of different correlations has been incorporated.

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6

Timofeeva, Svetlana Semenovna, Marufjon Nabievich Musaev, Tulqin Vafoqulovich Botirov, and Aziz Azimjanovich Boboev. "MATHEMATICAL MODELS AND ALGORITHMS FOR PREDICTING SURFACE WATER POLLUTION." Theoretical & Applied Science 104, no. 12 (December 30, 2021): 1038–42. http://dx.doi.org/10.15863/tas.2021.12.104.113.

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7

AGUSTO, F. B., and O. M. BAMIGBOLA. "Numerical Treatment of the Mathematical Models for Water Pollution." Journal of Mathematics and Statistics 3, no. 4 (April 1, 2007): 172–80. http://dx.doi.org/10.3844/jmssp.2007.172.180.

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8

Cooper, W. W., H. Hemphill, Z. Huang, S. Li, V. Lelas, and D. W. Sullivan. "Survey of mathematical programming models in air pollution management." European Journal of Operational Research 96, no. 1 (January 1997): 1–35. http://dx.doi.org/10.1016/s0377-2217(97)86747-1.

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9

Davies, Simon. "Mathematical models for Arctic submarine pipeline protection." Marine Pollution Bulletin 17, no. 3 (March 1986): 85–86. http://dx.doi.org/10.1016/0025-326x(86)90396-6.

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10

Pop, Viorel. "Mathematical Models Issues of Environmental Management." Studia Universitatis „Vasile Goldis” Arad – Economics Series 25, no. 1 (May 1, 2015): 60–73. http://dx.doi.org/10.1515/sues-2015-0005.

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Abstract Today the world is facing, more and more, different sources of pollution, the most affected areas being the proximity of big industrial centers (e.g.: chemistry, mining and metallurgy, machinery building etc.). Baia Mare industrial area is a typical one for such a situation. To maintain a clean and healthy environment in Baia Mare city and in the surrounding areas, important costs are needed. The usefulness of the mathematical models consists in the possibility of mathematical processing of industrial parameters evolutions, with relevant interpretations on various influences and their correction for achieving the set goals (maximizing financial efficiency, environmental protection with the compliance of legal requirements etc.)

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11

Ziemińska-Stolarska, Aleksandra, and Jerzy Skrzypski. "Review of Mathematical Models of Water Quality." Ecological Chemistry and Engineering S 19, no. 2 (January 1, 2012): 197–211. http://dx.doi.org/10.2478/v10216-011-0015-x.

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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.

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12

Ani, Elisabeta-Cristina, Vasile Mircea Cristea, and Paul Serban Agachi. "MATHEMATICAL MODELS TO SUPPORT POLLUTION COUNTERACTION IN CASE OF ACCIDENTS." Environmental Engineering and Management Journal 11, no. 1 (2012): 13–20. http://dx.doi.org/10.30638/eemj.2012.003.

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13

THOMPSON, G. "Mathematical Models and Engineering Design." Water and Environment Journal 7, no. 1 (February 1993): 18–23. http://dx.doi.org/10.1111/j.1747-6593.1993.tb00805.x.

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14

Alidi, Abdulaziz S. "Locating oil spill response centres using mathematical models." Marine Pollution Bulletin 26, no. 4 (April 1993): 216–19. http://dx.doi.org/10.1016/0025-326x(93)90625-t.

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15

GHOSH, MINI. "INDUSTRIAL POLLUTION AND ASTHMA: A MATHEMATICAL MODEL." Journal of Biological Systems 08, no. 04 (December 2000): 347–71. http://dx.doi.org/10.1142/s0218339000000225.

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In this paper, some nonlinear mathematical models are proposed and analyzed to study the spread of asthma due to inhaled pollutants from Industry. The following two types of demographics are considered here; (i) population with constant immigration, (ii) population with logistic growth. In each type of demography, the following three cases have been considered regarding the release of pollutant into the environment; (i) when emission of the pollutant into the environment is constant, (ii) when emission of the pollutant is population dependent, and (iii) when emission of the pollutant is periodic. Using stability theory of differential equations and computer simulation, it is shown that due to an increase in the air pollutant, the asthmatic (diseased) population increases in the region under consideration.

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16

Revilla, José A., Kalin N. Koev, Rafael Díaz, César Álvarez, and Antonio Roldán. "Methods for studying dissolved oxygen levels in coastal and estuarine waters receiving combined sewer overflows." Water Science and Technology 32, no. 2 (July 1, 1995): 95–103. http://dx.doi.org/10.2166/wst.1995.0081.

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One factor in determining the transport capacity of coastal interceptors in Combined Sewer Systems (CSS) is the reduction of Dissolved Oxygen (DO) in coastal waters originating from the overflows. The study of the evolution of DO in coastal zones is complex. The high computational cost of using mathematical models discriminates against the required probabilistic analysis being undertaken. Alternative methods, based on such mathematical modelling, employed in a limited number of cases, are therefore needed. In this paper two alternative methods are presented for the study of oxygen deficit resulting from overflows of CSS. In the first, statistical analyses focus on the causes of the deficit (the volume discharged). The second concentrates on the effects (the concentrations of oxygen in the sea). Both methods have been applied in a study of the coastal interceptor at Pasajes Estuary (Guipúzcoa, Spain) with similar results.

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17

Saxena, S. "Mathematical models for fluidized-bed coal combustion and sulfur retention." Energy 13, no. 7 (July 1988): 557–607. http://dx.doi.org/10.1016/0360-5442(88)90011-4.

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18

Milne, R. A., P. C. Nicholas, C. Pattinson, and W. Halcrow. "The Definition of Effluent Discharge Consent Conditions in Complex Estuarine Environments." Water Science and Technology 18, no. 4-5 (April 1, 1986): 267–76. http://dx.doi.org/10.2166/wst.1986.0202.

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The Welsh Water Authority puts considerable emphasis upon the scientific determination of discharge consents through which it controls coastal pollution. It also pursues a policy which encourages the effective use of estuarine and coastal capacity to assimilate effluents. Conflict between environmental protection and cost-effective effluent disposal is minimised by concentrating upon the relationships between environmental quality objective (E.Q.O.), environmental quality standard (E.Q.S.) and discharge consent. Welsh Water has devoted considerable resources to the understanding and prediction of these relationships in estuaries and has developed a protocol for consent setting. This protocol is described and illustrated with examples from recent work on the Loughor and Dee estuaries in Wales. Desk study, specialised investigations and mathematical modelling techniques are integrated to identify critical processes in the dispersal, degradation and biological impact of pollutants. These are modelled to predict effluent behaviour for various discharge regimes, allowing a flexible approach to the selection of a consent.

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19

Sumita, Nair, and Bhatia Sukhpreet Kaur. "WATER QUALITY MODELS: A REVIEW." International Journal of Research -GRANTHAALAYAH 5, no. 1 (January 31, 2017): 395–98. http://dx.doi.org/10.29121/granthaalayah.v5.i1.2017.1914.

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Maintaining water quality and predicting the fate of water pollutants are one of the important tasks of present environmental problems. The best tool for predicting different pollution scenarios are the simulation of mathematical models which can provide a basis and technical support for environmental management.

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20

D. K. Borah and M. Bera. "WATERSHED-SCALE HYDROLOGIC AND NONPOINT-SOURCE POLLUTION MODELS: REVIEW OF MATHEMATICAL BASES." Transactions of the ASAE 46, no. 6 (2003): 1553–66. http://dx.doi.org/10.13031/2013.15644.

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21

Plis, Marcin, and Henryk Rusinowski. "Identification of mathematical models of thermal processes with reconciled measurement results." Energy 177 (June 2019): 192–202. http://dx.doi.org/10.1016/j.energy.2019.04.076.

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22

Yang, L. "Non-linear coupling mathematical models of percolation-patterned underground coal gasification." Energy 29, no. 2 (February 2004): 211–34. http://dx.doi.org/10.1016/j.energy.2003.08.012.

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23

Carmona Rodrigues, A., M. Cardoso da Silva, A. Câmara, T. Faria Fernandes, and J. Gomes Ferreira. "Dispersion Modelling for a Complex Estuary – The Case of the Tagus." Water Science and Technology 20, no. 6-7 (June 1, 1988): 271–76. http://dx.doi.org/10.2166/wst.1988.0212.

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Estuarine dispersion models have been commonly used to define the pollutant loads permissible to achieve pre-defined water quality levels and improve our knowledge of estuarine phenomena. Those models for large estuaries with complex hydrodynamic and ecological processes usually have extremely high running times. This paper presents an approach based on the use of increasingly complex models, which attempts to circumvent the problem of initial lack of data, as well as to give some initial insight into the processes of the Tagus Estuary, within acceptable levels of precision. As a first stage, simple models were developed and applied to the estuary, one of the largest in Europe, with more than 300 sources of pollution and intensive use for recreation, fishing, and navigation. The computational exercises undertaken with these models were also used to accumulate information on the response of the Tagus Estuary to a number of forcing conditions. This information, synthesized in ‘if … then' rules, was integrated to form a data base on the estuary, which is currently being developed. The data base will organize existing information and, providing that learning mechanisms are included, it will also create new knowledge, as well as supplying the complex models under development with reasonable initial values.

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24

Szilveszter, Szabolcs, Botond Raduly, Beata Abraham, Szabolcs Lanyi, and Dan Robescu Niculae. "MATHEMATICAL MODELS FOR DOMESTIC BIOLOGICAL WASTEWATER TREATMENT PROCESS." Environmental Engineering and Management Journal 9, no. 5 (2010): 629–36. http://dx.doi.org/10.30638/eemj.2010.086.

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25

Stone, Alex, and Hans M. Seip. "Are mathematical models useful for understanding water acidification?" Science of The Total Environment 96, no. 1-2 (July 1990): 159–74. http://dx.doi.org/10.1016/0048-9697(90)90015-m.

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26

Avila, Tatiana Ramos, Anderson Abel de Souza Machado, and Adalto Bianchini. "Estimation of zooplankton secondary production in estuarine waters: Comparison between the enzymatic (chitobiase) method and mathematical models using crustaceans." Journal of Experimental Marine Biology and Ecology 416-417 (April 2012): 144–52. http://dx.doi.org/10.1016/j.jembe.2012.02.015.

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27

Chen, Miao Sheng, and Hui Ling Lu. "Model Analysis of Optimal Pollution Tax under Environment Rent Philosophy." Advanced Materials Research 524-527 (May 2012): 3411–15. http://dx.doi.org/10.4028/www.scientific.net/amr.524-527.3411.

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This paper uses the concept of environment rent philosophy to explain rationale for government taxation and principles of taxation, and uses mathematical models to specifically discuss practical problems of government pollution taxation under this philosophy. The model provides mathematical equations for optimal decision-making by consumers, producers, and government and analyzes the impact of changes in taxation rates on the three parties.

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28

KARPENKO, N. P., та M. A. SHIRYAEVA. "Тhree-dimensional mathematical model for predicting the pollution of a water body with biogenic elements". Prirodoobustrojstvo, № 1 (2022): 63–69. http://dx.doi.org/10.26897/1997-6011-2022-1-63-69.

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Анотація:

The article presents the results of the development of three-dimensional modeling and the results of forecasting the pollution of a water body with biogenic elements on the example of the Pekhorka River in the Balashikhinsky district of the Moscow region. To solve the problem of improving the environmental safety of the river basin, a mathematical three-dimensional model for predicting pollution by biogenic elements has been developed. As an assessment of the pollution of the Pekhorka River, the method of assessing the impact on the indicator of chemical pollution was chosen. The development of a mathematical model of pollutant transport was carried out using the Python Version 3.8 programming environment. The mathematical models considered two scenarios of river pollution: actual river pollution with biogenic pollutants and forecast pollution. As a result of modeling, the nature of mixing and longitudinal dispersion along the river fl ow was determined. It was found that vertical mixing occurs quite quickly at a distance of several depths of the river, lateral mixing occurs much slower, but usually ends within a few kilometers downstream. Three-dimensional mathematical models for predicting water body pollution are designed to quantify the dynamic processes of mass transfer in space and time and allow solving problems of environmental safety of catchment areas and water bodies.

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29

BILIAIEVA, V. "MATHEMATICAL MODELS APPLICATION TO PREDICT HEAT AND CHEMICAL AIR POLLUTION IN WORKING AREARS." Ukrainian Journal of Civil Engineering and Architecture, no. 3 (June 1, 2021): 39–45. http://dx.doi.org/10.30838/j.bpsacea.2312.010721.39.765.

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Problem statement. The problem of prediction the level of air pollution in working areas is considered on the basis of mathematical models of aerodynamics and heat and mass transfer. The task is to calculate the concentration field of chemically hazardous substances and the temperature field in the working zones. The purpose of the article. Construction of numerical models that allow determine the distribution of temperature and concentration of chemically hazardous substances in work areas with a complex geometric shape. Methodology. For numerical modeling of the process of air pollution in working areas during the spread of chemically hazardous substances, G. Marchuk's equation is used, which takes into account the transfer of a chemically hazardous substance due to convection, as well as due to turbulent diffusion. The energy equation is used to model the thermal contamination of work areas. To simulate the wind speed field in the presence of various kinds of obstacles, the Laplace equation for the speed potential is used. The integration of the modeling equations is carried out on a rectangular grid. For the numerical integration of the equation describing the propagation of a chemically hazardous substance in the air of working areas, a finite-difference splitting scheme is used. For the numerical integration of the Laplace equation for the velocity potential, two splitting schemes are used. The unknown value of the velocity potential at each splitting step is calculated using an explicit formula. Numerical integration of the energy equation is carried out using an explicit difference scheme. Scientific novelty. The constructed numerical models that allow to calculate the zones of chemical and thermal pollution, taking into account a set of important physical factors. A feature of numerical models is the speed of calculation, which is important when serial calculations are carrying out in practice. Practical significance. A complex of applied programs was created on the basis of the developed numerical models. This complex of programs allows to analyze and predict the intensity and size of zones of thermal or chemical pollution. This set of programs can be useful in determining the affected areas in case of extreme situations at chemically hazardous facilities. Conclusions. Numerical models have been developed. On the basis of these models a complex of applied programs has been created that allow to study multiparameter processes of chemical and thermal air pollution of working areas using the method of computer modeling. The complex of programs can be implemented on computers of low and medium power. The results of a computational experiment are presented.

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30

Biliaiev, M., I. Kalashnikov, V. Kozachina, and O. Berlov. "Mathematical and descrete models in the tasks of emergency pollution of atmospheric air." Collection of Research Papers of the National Mining University 57 (March 30, 2019): 149–57. http://dx.doi.org/10.33271/crpnmu/57.149.

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31

Seigneur, Christian, A. Belle Hudischewskyj, John H. Seinfeld, Kenneth T. Whitby, Evan R. Whitby, James R. Brock, and Harold M. Barnes. "Simulation of Aerosol Dynamics: A Comparative Review of Mathematical Models." Aerosol Science and Technology 5, no. 2 (January 1986): 205–22. http://dx.doi.org/10.1080/02786828608959088.

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32

Kazmann, R. G. "Mathematical models and the read world." Environmental Geology and Water Sciences 10, no. 3 (October 1987): 125–27. http://dx.doi.org/10.1007/bf02580467.

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33

Budianu, Mihaela, Valeriu Nagacevschi, and Matei Macoveanu. "MODELLING AND SIMULATION OF DISPERSIONS OF POWDER EMISSIONS FROM MULTIPLE SOURCES WITH THE MATHEMATICAL MODEL POL 15SM." JOURNAL OF ENVIRONMENTAL ENGINEERING AND LANDSCAPE MANAGEMENT 22, no. 2 (June 20, 2014): 151–60. http://dx.doi.org/10.3846/16486897.2013.821068.

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Анотація:

Over the last decades, air pollution has become one of the greatest challenges negatively affecting human health and the entire environment, including air, water, soil, vegetation, and urban areas. Lately, special attention has been given to mathematical modelling for diffusion of pollutants in the atmosphere as a particularly effective and efficient method that can be used to study, control and reduce air pollution. The diversity of models developed by different research groups imposed a rigorous understanding of model types in order to apply them correctly according to local or regional problems of air pollution phenomenon. Tus the authors have developed and improved two mathematical models for dispersion of air pollutants. Tis paper presents a case study of dispersion of powders in suspension originating from 14 point sources that correspond to 5 economic agents in the agroindustrial area of Vaslui city using a computer simulation based on the mathematical model Pol 15sm, for multiple point sources of pollution, designed by the authors.

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34

Brandt, Adam R. "Review of mathematical models of future oil supply: Historical overview and synthesizing critique." Energy 35, no. 9 (September 2010): 3958–74. http://dx.doi.org/10.1016/j.energy.2010.04.045.

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35

Sivyakov, B. K., A. A. Skripkin, and D. B. Sivyakov. "Magnetic and Electric Fields of High Voltage Air Power Lines of Industrial Frequency." Advanced Engineering Forum 36 (June 2020): 23–27. http://dx.doi.org/10.4028/www.scientific.net/aef.36.23.

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High-voltage air power lines (AL) are sources of danger to aircraft objects and of pollution of the surrounding environment by their fields. In this connection, there is a problem of creating of analytical mathematical models for the calculation of the magnetic and electric fields of air power lines (AL) in the surrounding them space. The analytical mathematical models for magnetic and electric fields of air power lines (AL) in surrounding space for making subsequent decisions in the field of detection of high-voltage air lines by aircraft and electromagnetic pollution of environment were obtained.

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36

Khanna, D. R., R. Bhutiani, and Neetu Saxena. "An approach to mathematical models as a tool for water and air quality management." Journal of Applied and Natural Science 6, no. 1 (June 1, 2014): 304–14. http://dx.doi.org/10.31018/jans.v6i1.420.

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Анотація:

Interactions between mathematical and biological sciences have been increasing rapidly in recent years. The use of system analysis and mathematical model for formulation and solving the environmental pollution is of relatively recent vintage and has been used widely since last three decades. These models can be used to conduct numerical experiments, test hypothesis and help to understand the response of environmental pollution. A mathematical model acts as a bridge between study of mathematics and application of mathematics in environmentand other fields. Modeling is an abstraction of reality and its ultimate objective is to explore the complexity of functions and structure of the system under study. Today, a wide variety of models belonging to different nature and category are available to understand the processes of the environment around us. Various models such as WASP, CE-QUAL-ICM, QUAL W2, AQUATOX, QUAL2K, IITAQ, PEARL, GRAM, UGEM, and IITLT etc. related to water and air quality are developed so far along with their principles, intended use and applications. These models generally simulate the basic physical, chemical and biological processes. In the present study, an attempt has been made to evaluate the concept and utilization of mathematical models in air and water quality management.

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37

Leonov, Aleksandr V., Nikolai N. Filatov, and Vladimir S. Titov. "The estimation of current state of Lake Ladoga using mathematical models." Hydrobiologia 322, no. 1-3 (April 1996): 103–8. http://dx.doi.org/10.1007/bf00031813.

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38

Al-Rabeh, Ala, Robin Lardner, Nazmi Gunay, Rizwanullah Khan, Mahmood Hossain, R. M. Reynolds, and W. J. Lehr. "On mathematical and empirical models for surface oil spill transport in the Gulf." Marine Pollution Bulletin 27 (January 1993): 71–77. http://dx.doi.org/10.1016/0025-326x(93)90009-9.

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39

Mulla, D. J. "Mathematical Models of Small Watershed Hydrology and Applications." Journal of Environmental Quality 32, no. 1 (January 2003): 374. http://dx.doi.org/10.2134/jeq2003.374a.

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40

KACHIASHVILI, K. J., and D. I. MELIKDZHANIAN. "IDENTIFICATION OF RIVER WATER EXCESSIVE POLLUTION SOURCES." International Journal of Information Technology & Decision Making 05, no. 02 (June 2006): 397–417. http://dx.doi.org/10.1142/s0219622006001988.

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The program package for identification of river water excessive pollution sources located between two controlled cross-sections of the river is described in this paper. The software has been developed by the authors on the basis of mathematical models of pollutant transport in the rivers and statistical hypotheses checking methods. The identification algorithms were elaborated with the supposition that the pollution sources discharge different compositions of pollutants or (at the identical composition) different proportions of pollutants into the rivers.

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41

Sulaymon, Abbas H., Abdul-Fattah M. Ali, and Saadi K. Al-Naseri. "Mathematical models application for natural organic matter adsorption onto activated carbon." Desalination and Water Treatment 24, no. 1-3 (December 2010): 93–100. http://dx.doi.org/10.5004/dwt.2010.1241.

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42

Moldasheva, R., A. Ismailova, and A. Zadagali. "SIGNS OF STABILITY OF AQUATIC ECOSYSTEMS IN MATHEMATICAL MODELS." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 85, no. 3 (September 15, 2022): 43–48. http://dx.doi.org/10.47533/2020.1606-146x.178.

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To date, various data on water resources have been accumulated, but hydrobiological and hydrochemical indicators remain available to assess the current state of aquatic ecosystems, which can be the basis for assessing the environmental situation within the water body. Systematization of multiyear and diverse data on the lakes and rivers of the country, the use of mathematical tools for assessing and forecasting the state of the aquatic ecosystem is impossible without the use of information and communication technologies. Quality mathematical modeling of aquatic ecosystems and the development of information and analytical system for the study of aquatic ecosystems is an urgent task, including databases of various-quality data on the water body and its ecosystem, data management and processing tools, as well as a set of mathematical models for the functioning of the water body ecosystem. Research is based on information technology, statistical data processing, and mathematical modeling. Mathematical models are based on systems of differential equations, solutions are sought with the help of own computing programs and software suites (Maple, Matlab, Mathematics, etc.). When possible, modeling includes analytical studies of the properties of solutions, primarily this concerns stationary or spatially homogeneous solutions, as well as asymptotic properties of solutions. The lower trophic levels of the water body ecosystem are studied, as this determines the functioning of aquatic ecosystems. The species composition of phytoplankton is an indicator of the ecological state of the water body. Based on the quantitative characteristics of phytoplankton, the bioproductivity of the aquatic ecosystem is calculated. The physical and chemical characteristics of water allow drawing conclusions about the pollution of the water body and the composition of mineral nutrition for phytoplankton.

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Glibert, Patricia M., Wei-Jun Cai, Emily R. Hall, Ming Li, Kevan L. Main, Kenneth A. Rose, Jeremy M. Testa, and Nayani K. Vidyarathna. "Stressing over the Complexities of Multiple Stressors in Marine and Estuarine Systems." Ocean-Land-Atmosphere Research 2022 (October 13, 2022): 1–27. http://dx.doi.org/10.34133/2022/9787258.

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Aquatic ecosystems are increasingly threatened by multiple human-induced stressors associated with climate and anthropogenic changes, including warming, nutrient pollution, harmful algal blooms, hypoxia, and changes in CO2 and pH. These stressors may affect systems additively and synergistically but may also counteract each other. The resultant ecosystem changes occur rapidly, affecting both biotic and abiotic components and their interactions. Moreover, the complexity of interactions increases as one ascends the food web due to differing sensitivities and exposures among life stages and associated species interactions, such as competition and predation. There is also a need to further understand nontraditional food web interactions, such as mixotrophy, which is the ability to combine photosynthesis and feeding by a single organism. The complexity of these interactions and nontraditional food webs presents challenges to ecosystem modeling and management. Developing ecological models to understand multistressor effects is further challenged by the lack of sufficient data on the effects of interactive stressors across different trophic levels and the substantial variability in climate changes on regional scales. To obtain data on a broad suite of interactions, a nested set of experiments can be employed. Modular, coupled, multitrophic level models will provide the flexibility to explore the additive, amplified, propagated, antagonistic, and/or reduced effects that can emerge from the interactions of multiple stressors. Here, the stressors associated with eutrophication and climate change are reviewed, and then example systems from around the world are used to illustrate their complexity and how model scenarios can be used to examine potential future changes.

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44

Atayan, A., and V. Dolgov. "Parallel algorithms for solving diffusion-convection problems on a multiprocessor computer system using hybrid MPI / OpenMP technology." Journal of Physics: Conference Series 2131, no. 2 (December 1, 2021): 022008. http://dx.doi.org/10.1088/1742-6596/2131/2/022008.

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Abstract The paper deals with the mathematical models, algorithms and software for mathematical modeling of coastal systems’ water pollution spreading dynamics under various unfavorable phenomena of natural and artificial genesis, developed for high-performance cluster systems. Methods for partitioning the computational domain for solving diffusion-convection problems have been developed, which allow for efficient parallelization of a computationally complex modeling problem, taking into account the architecture of the multiprocessor system used. The developed mathematical models are based on high-precision models of hydrophysics and hydrobiology and take into account the peculiarities of water systems in the south of the Rostov region, as well as factors of hydrobiological dynamics such as microturbulent diffusion and advective transport in various directions, mechanisms of primary and secondary pollution of coastal systems, taking into account currents. The paper presents algorithms for solving a simulated problem based on MPI parallelization technology, as well as based on mixed MPI + OpenMP technology. Numerical experiments have been carried out and the two technologies efficiency comparison has been made in the conditions of computing cluster used.

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45

Sukharev, Mikhail G., Ksenia O. Kosova, and Ruslan V. Popov. "Mathematical and computer models for identification and optimal control of large-scale gas supply systems." Energy 184 (October 2019): 113–22. http://dx.doi.org/10.1016/j.energy.2018.02.131.

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46

Alnahdi, Amani, Ali Elkamel, Munawar A. Shaik, Saad A. Al-Sobhi, and Fatih S. Erenay. "Optimal Production Planning and Pollution Control in Petroleum Refineries Using Mathematical Programming and Dispersion Models." Sustainability 11, no. 14 (July 10, 2019): 3771. http://dx.doi.org/10.3390/su11143771.

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Oil refineries, producing a large variety of products, are considered as one of the main sources of air contaminants such as sulfur oxides (SOx), hydrocarbons, nitrogen oxides (NOx), and carbon dioxide (CO2), which are primarily caused by fuel combustion. Gases emanated from the combustion of fuel in an oil refinery need to be reduced, as it poses an environmental hazard. Several strategies can be applied in order to mitigate emissions and meet environmental regulations. This study proposes a mathematical programming model to derive the optimal pollution control strategies for an oil refinery, considering various reduction options for multiple pollutants. The objective of this study is to help decision makers select the most economic pollution control strategy, while satisfying given emission reduction targets. The proposed model is tested on an industrial scale oil refinery sited in North Toronto, Ontario, Canada considering emissions of NOx, SOx, and CO2. In this analysis, the dispersion of these air pollutants is captured using a screening model (SCREEN3) and a non-steady state CALPUFF model based on topographical and meteorological conditions. This way, the impacts of geographic location on the concentration of pollutant emissions were examined in a realistic way. The numerical experiments showed that the optimal production and pollution control plans derived from the proposed optimization model can reduce NOx, SOx, and CO2 emission by up to 60% in exchange of up to 10.7% increase in cost. The results from the dispersion models verified that these optimal production and pollution control plans may achieve a significant reduction in pollutant emission in a large geographic area around the refinery site.

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Hsu, Hung Cheng, and Wei Shang Fan. "Engineering Management on Modeling of Environmental Protection." Advanced Materials Research 734-737 (August 2013): 3352–55. http://dx.doi.org/10.4028/www.scientific.net/amr.734-737.3352.

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Management on modeling and measuring are seldom seen in management research but it is a good measurement to some issues. Environment & Energy issues are important but still no optimal solution. In the study, we use the mathematical model to deal with the management application. Earth pollutions are getting more and more serious. The Environment & Energy issues are two significant problems nowadays. The pollutions on earth are needed to be limited. We should do something on controlling the limited pollutions on earth as possible as we can. The study pays attention on the optimal control of the pollutions by mathematical models. We try to make the optimal solution on the pollutions origin. With the efficient control of the pollutions, the earth can absorb and invert the pollutions. This is the main purpose of the study and the methodology are seldom seem in researches. The study also uses mathematical model to make this issue to be a discussible model. With the mathematical models and Euler equation in the study, we can get the optimal solution in scientific method and it is available for governments to handle with the pollution control. In the study, we take water pollution for example because air and water are two main matters for human beings. If water pollutions are getting serious, we hardly survive. Key words: Euler equation, mathematical models

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Safonyk, Andrii, Olga Safonyk, and Victoria Zhabchyk. "Modeling and automation processes of water purification from multicomponent pollution." Modeling, Control and Information Technologies, no. 3 (November 5, 2019): 64–66. http://dx.doi.org/10.31713/mcit.2019.53.

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Mathematical models of the processes of cleaning liquids from multicomponent contamination by filtration, as well as diffusion-mass transfer perturbations and the development of numerical-asymptotic methods for solving the corresponding nonlinear regularly and singularly perturbed boundary value problems are shown. The construction of automation systems of corresponding treatment systems and complexes on the basis of solving model problems is presented.

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Guseynov, Sharif, and Eugene Kopytov. "Complex Mathematical Models for Analysis, Evaluation and Prediction of Aqueous and Atmospheric Environment of Latvia." Transport and Telecommunication Journal 13, no. 1 (January 1, 2012): 57–74. http://dx.doi.org/10.2478/v10244-012-0006-8.

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Complex Mathematical Models for Analysis, Evaluation and Prediction of Aqueous and Atmospheric Environment of Latvia In present paper the authors consider the complete statements of initial-boundary problems for the modelling of various aspects of aqueous (3 models) and atmospheric systems (2 models) in Latvia. All the proposed models are described in terms of differential equations theory (using both ordinary differential equations and partial differential equations) and are regarded to be the evolutional models. Two of the three aqueous system models being studied are intended to describe the natural aquatic media ecosystems while the other models are aimed at studying environmental pollution processes.

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50

Anokhin, Yu A. "Mathematical balance models for monitoring the state of Lake Baikal." Environmental Monitoring and Assessment 11, no. 3 (1988): 315–25. http://dx.doi.org/10.1007/bf00394680.

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