vmaitComputational Mathematics and Information TechnologiesComputational Mathematics and Information Technologies2587-8999Донской государственный технический университет10.23947/2587-8999-2022-1-3-96-103vmait-18Research ArticleСтатьиОЦЕНКА ВЛИЯНИЯ НЕФТЯНЫХ УГЛЕВОДОРОДОВ НА КИСЛОРОДНЫЙ РЕЖИМ МЕЛКОВОДНОГО ВОДОЕМАEVALUATION OF THE EFFECT OF PETROLEUM HYDROCARBONS ON THE OXYGEN REGIME OF A SHALLOW WATERФилинаА. А.FilinaA. A.

Филина Алёна Александровна, научный сотрудник, кандидат технических наук

347922, Таганрог, Ростовская обл., пер. Итальянский, 106

Filina Alena Aleksandrovna, scientific researher, Candidate of Science in Tech, 

Italyanski lane 106, Taganrog, Russian Federation

j.a.s.s.y@mail.ruНикитинаА. В.NikitinaA. V.

Никитина Алла Валерьевна, доктор технических наук, профессор кафедры «Программное обеспечение вычислительной техники и автоматизированных систем» Донского государственного технического университета 

344000 Ростов-на-Дону, пл. Гагарина, д. 1

Nikitina Alla Valer'evna, 1Doctor of Science in Tech, Professor of the Department of Computer Engineering and Automated Systems

1st Gagarin Square, Rostov-on-Don, Russian Federation

nikitina.vm@gmail.comЧистяковA. Е.ChistyakovA. E.

Чистяков Александр Евгеньевич, доктор физико-математических наук, профессор кафедры «Программное обеспечение вычислительной техники и автоматизированных систем»

344000, Ростов-на-Дону, пл. Гагарина, д. 1

Chistyakov Aleksander Evgenievich, Doctor of Science in Physics and Maths, Professor of the Department of Computer Engineering and Automated Systems

1st Gagarin Square, Rostov-on-Don, Russian Federation

cheese_05@mail.ruБеловаЮ. В.BelovaYu. V.

Белова Юлия Валерьевна, доцент кафедры «Математика и информатика»

344000, Ростов-на-Дону, пл. Гагарина, д. 1

Belova Yulia Valerievna, Associate Professor of the Department of Mathematics and Computer Science 

1st Gagarin Square, Rostov-on-Don, Russian Federation

yvbelova@yandex.ruООО «НИЦ супер-ЭВМ и нейрокомпьютеров»РоссияSupercomputers and Neurocomputers Research CenterRussian FederationООО «НИЦ супер-ЭВМ и нейрокомпьютеров»; Донской государственный технический университетРоссияDon State Technical UniversityRussian FederationДонской государственный технический университетРоссияDon State Technical UniversityRussian Federation2022200220236396103Copyright © Филина А.А., Никитина А.В., Чистяков A.Е., Белова Ю.В., 20232023Филина А.А., Никитина А.В., Чистяков A.Е., Белова Ю.В.Filina A.A., Nikitina A.V., Chistyakov A.E., Belova Y.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.cmit-journal.ru/jour/article/view/18

В статье исследуется влияние нефтеуглеводородов на кислородный режим мелководного водоема, а также на зоопланктонные популяции, чувствительные к недостатку кислорода и нефтяным загрязнениям даже при их низких концентрациях. Построена математическая модель биологической кинетики, учитывающая ряд абиотических и биотических факторов, непосредственно влияющих на экосистему водоема: движение водной среды, микротурбулентную диффузию, температурный режим, освещенность, ветровые напряжения, соленость, концентрацию растворенного в воде кислорода. Модель реализована в программном комплексе, ориентированном на высокопроизводительную вычислительную систему. Введение нелинейных зависимостей в скорости роста концентраций зоопланктона с учетом влияния нефтяных загрязнений позволяет определять их динамику в условиях недостаточного поступления кислорода при пространственно-временной изменчивости температуры и освещенности. Дискретизация задачи выполнена на основе разностной схемы, учитывающей частичную заполненность расчетных ячеек, что позволило повысить точность моделирования гидробиологических процессов и явлений.

The paper covers the influence of petroleum hydrocarbons on the oxygen regime of a shallow water, as well as on zooplankton populations sensitive to lack of oxygen and oil pollution even at their low concentrations. A mathematical model of biological kinetics is constructed taking into account the number of abiotic and biotic factors that directly affect the water ecosystem: the movement of the water environment, microturbulent diffusion, temperature regime, illumination, wind stresses, salinity, concentration of oxygen dissolved in water. The model is implemented in a software focused on a high-performance computer system. Nonlinear dependences in the rate of growth of zooplankton concentrations are introduced, taking into account the influence of oil pollution. This makes it possible to determine their dynamics in conditions of insufficient oxygen supply with spatial and temporal variability of temperature and illumination. The problem discretization is based on the difference scheme that takes into account the partial occupancy of the computational cells. This made it possible to increase the simulation accuracy of hydrobiological processes and phenomena.

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The authors declare that there are no conflicts of interest present.