Using solutions to adjoint problems in identifying the power of pollution sources and planning an experiment

Authors

UDC

51.37

EDN

ZSBWKK

DOI:

10.31429/vestnik-22-1-62-67

Abstract

In the work for the passive impurity transfer model, the construction of an optimal measurement plan for the implementation of a variational algorithm for identifying the power of pollution sources is considered. The Jacobi information matrix is constructed using solutions to a series of related problems. It is known that measurements of the concentration field, which are performed at the points of maximum values, lead to increased conditionality of the problem being solved and faster convergence of the iterative process. The algorithm for constructing the Fischer information matrix is presented for the case of a three-dimensional model of passive impurity transport in the Sea of Azov. The effect of an instantaneous and permanent point source of pollution is considered. The results can be used to solve various environmental problems in studying the effects of anthropogenic pollution sources in the waters of the Azov and Black Seas.

Keywords:

planning of the experiment, transport model, passive admixture, identification, adjoint problem, minimization, Azov Sea

Funding information

The work was carried out within the framework of the state assignment on topic no. FNNN-2024-0016 "Study of the spatio-temporal variability of oceanographic processes in the coastal, coastal and shelf zones of the Black Sea under the influence of natural and anthropogenic factors based on contact measurements and mathematical modeling" (code "Coastal research").

Authors info

  • Vladimir S. Kochergin

    младший научный сотрудник отдела теории волн Федерального исследовательского центра «Морской гидрофизический институт РАН»

  • Sergei V. Kochergin

    старший научный сотрудник отдела вычислительных технологий и математического моделирования Федерального исследовательского центра «Морской гидрофизический институт РАН»

References

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Issue

Pages

62-67

Section

Mechanics

Dates

Submitted

February 11, 2025

Accepted

March 12, 2025

Published

March 27, 2025

How to Cite

[1]
Kochergin, V.S., Kochergin, S.V., Using solutions to adjoint problems in identifying the power of pollution sources and planning an experiment. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2025, т. 22, № 1, pp. 62–67. DOI: 10.31429/vestnik-22-1-62-67

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