Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River

A mixed inverse problem for determining the biochemical oxygen demand of water (L0) and the rate of biochemical oxygen consumption (k0), which are important indicators of water quality, has been formulated and numerically solved based on real experimental data. The inverse problem is reduced to the...

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Main Authors: A. T. Nurseitova, J. K. Jamalov, A. A. Azimov, D. B. Nurseitov, E. A. Tursunov
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2021/9387827
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author A. T. Nurseitova
J. K. Jamalov
A. A. Azimov
D. B. Nurseitov
E. A. Tursunov
author_facet A. T. Nurseitova
J. K. Jamalov
A. A. Azimov
D. B. Nurseitov
E. A. Tursunov
author_sort A. T. Nurseitova
collection DOAJ
description A mixed inverse problem for determining the biochemical oxygen demand of water (L0) and the rate of biochemical oxygen consumption (k0), which are important indicators of water quality, has been formulated and numerically solved based on real experimental data. The inverse problem is reduced to the optimization problem consisting in minimization of the deviation of the calculated values from the experimental data, which is solved numerically using the Nelder–Mead method (zero order) and the gradient method (first order). A number of examples of processing both model experimental data and field experimental data provided by hydrological stations monitoring pollutants in the Kazakhstani part of the Ili River basin are presented. A mathematical model that adequately describes the processes in the river system has been constructed.
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spelling doaj-art-0714bb16fd5b4abc95c454cfada3435a2025-08-20T02:02:48ZengWileyModelling and Simulation in Engineering1687-55911687-56052021-01-01202110.1155/2021/93878279387827Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili RiverA. T. Nurseitova0J. K. Jamalov1A. A. Azimov2D. B. Nurseitov3E. A. Tursunov4International Information Technology University, Almaty, KazakhstanSatbayev University, Almaty, KazakhstanSatbayev University, Almaty, KazakhstanKazMunayGas Engeneering LLP, Nur-Sultan, KazakhstanInstitute of Geography and Water Security JSC, Almaty, KazakhstanA mixed inverse problem for determining the biochemical oxygen demand of water (L0) and the rate of biochemical oxygen consumption (k0), which are important indicators of water quality, has been formulated and numerically solved based on real experimental data. The inverse problem is reduced to the optimization problem consisting in minimization of the deviation of the calculated values from the experimental data, which is solved numerically using the Nelder–Mead method (zero order) and the gradient method (first order). A number of examples of processing both model experimental data and field experimental data provided by hydrological stations monitoring pollutants in the Kazakhstani part of the Ili River basin are presented. A mathematical model that adequately describes the processes in the river system has been constructed.http://dx.doi.org/10.1155/2021/9387827
spellingShingle A. T. Nurseitova
J. K. Jamalov
A. A. Azimov
D. B. Nurseitov
E. A. Tursunov
Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River
Modelling and Simulation in Engineering
title Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River
title_full Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River
title_fullStr Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River
title_full_unstemmed Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River
title_short Comparison of Methods for Assessing the Assimilation Capacity of the Kazakhstani Sector of the Ili River
title_sort comparison of methods for assessing the assimilation capacity of the kazakhstani sector of the ili river
url http://dx.doi.org/10.1155/2021/9387827
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