Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution

M. A. Davydova ; N. F. Elansky ; S. A. Zakharova ; O. V. Postylyakov

Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 496 (2021), pp. 34-39.

Résumé

A numerical-asymptotic approach is used to solve some coefficient inverse problems of tracer diffusion in the atmosphere. An asymptotic solution of the direct problem for an effective prognostic equation in the near-field zone of the source is obtained via a rigorous asymptotic analysis of a multidimensional singularly perturbed reaction–diffusion–advection problem. This solution is used as a priori information to construct a numerical algorithm for solving the inverse problem of recovering the parameters of an anthropogenic pollution source. The algorithm is implemented using sounding data on the Earth’s atmospheric composition obtained from the Russian Resurs-P satellite with highest available spatial resolution. For the first time, atmospheric pollutant emissions (nitrogen dioxide) from an isolated industrial source have been estimated by applying high-precision space monitoring and mathematical methods.

Détail

Keywords: singularly perturbed reaction–diffusion–advection models, asymptotic methods, coefficient inverse problems, estimation of pollutant emissions high-precision satellite imagery of tropospheric NO$_2$.

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