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Air quality short-term control in an industrial region under adverse weather conditions

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Abstract

A new short-term optimal control of air quality in an industrial region during atmospheric inversions is proposed. Its goal is to prevent violation of health standard of air quality in a few monitored zones. The control establishes restrictions on the emission rates of industrial sources and includes the identification of the industrial sources violating (exceeding) the emission rates set by the control. Both control and identification are based on using solutions to an adjoint dispersion model. Conditions that show the convergence of the emission rates, prescribed by the control, to the original emission rates of the industrial sources are given (Theorems 4 and 5). These results ensure that the new emission rates of industrial sources (established by the control) will be as close as possible to the original emission rates throughout the entire period of application of the control. This creates the minimum possible restrictions on the functioning of industrial enterprises. The highlight of the new control is the possibility of selecting special weights for each pollution source in the goal function that is minimized. These weights are mainly aimed at reducing the intensity of emissions of the main sources of pollution. An example demonstrates the ability of the new method. A similar approach can also be used to develop methods for cleaning water zones polluted by oil (the problem of bioremediation), and to prevent excessive pollution of urban areas with automobile emissions.

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Correspondence to Yuri Skiba.

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This work was supported by the National System of Researcher of México (SNI, CONACyT) (Nos. 14539, 25170).

Yuri SKIBA geophysicist, mathematician; PhD in Math. and Physics, Computer Ctr., Novosibirsk, USSR, 1979. Sr. sci. rschr. Computer Ctr., 1984–1985; Inst. Numerical Math., Moscow, 1987–1994; guest Sr. sci. rschr. Indian Inst. Tech. (Delhi), Indian Inst. Tropical Meteorology (Pune) and Indian Inst. Scis. (Bangalore), 1989–1990; Investigator Titular C and prof. U. Nat. Autonoma Mex., Mexico City, Head of Lab. Math. modeling of atmospheric processes, 1992-. Author: (book) Mathematical Problems of Dynamics of Viscous Barotropic Fluid on a Rotating Sphere, 1989 (in Russian) and 1990 (in English); (books in English) Application of adjoint equations to problems of dispersion and control of pollutants, 2015, Mathematical problems of the dynamics of incompressible fluid on a rotating sphere, 2017; (books in Spanish) Introducción a los Métodos Numéricos, 2001, Métodos y Esquemas Numéricos: Un Análisis Computacional, 2005, Introducción a la Dinámica de Fluidos, 2009, Introducción a los Métodos de Dispersión y Control de Contaminantes, 2011, Fundamentos de los métodos computacionales en álgebra lineal, 2018; contbr. 134 sci. papers, 27 chapters to books, 53 papers in proceedings. Recipient Sr. Sci. Rschr. of USSR, Presidium of the USSR Acad. Scis. Moscow, 1989. Mem. edit. board journal “Atmósfera”. Mem. Am. Math. Soc., Mex. Nat. Sys. Investigators. Achievements include thermodynamic 3D model of the atmosphere-ocean-soil system and its adjoint model; numerical models of barotropic atmosphere, advection-diffusion equation and nonlinear combustion; fully discrete shallow water models conserving the mass and total energy; fractional derivatives and approximation of functions on a sphere by spherical polynomials; existence, uniqueness, stability and asymptotic behavior of solutions to barotropic vorticity equation on a sphere.

David PARRA-GUEVARA received the Doctor of Science (Sc.D.) degree from the National Autonomous University of Mexico, Mexico, in 2001. He held a one-year post-doctoral position as guest researcher at the Mexican Petroleum Institute, in 2002. He is currently Titular Researcher in the Center for Atmospheric Sciences of the National Autonomous University of Mexico. His research interests include air and water pollution control models, direct and inverse problems in environmental pollution and numerical methods. He has authored more than 25 journal papers and book chapters, and two scientific books.

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Skiba, Y., Parra-Guevara, D. Air quality short-term control in an industrial region under adverse weather conditions. Control Theory Technol. 18, 257–268 (2020). https://doi.org/10.1007/s11768-020-0091-5

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  • DOI: https://doi.org/10.1007/s11768-020-0091-5

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