georesГеоресурсыGeoresources1608-50431608-5078Georesursy LLC10.18599/grs.2022.1.2geores-151Research ArticleРАЗРАБОТКА И ЭКСПЛУАТАЦИЯ МЕСТОРОЖДЕНИЙ ПОЛЕЗНЫХ ИСКОПАЕМЫХВлияние краевых эффектов смачивания на двухфазные течения жидкостей в цифровой модели неоднородного керна при динамических режимах вытесненияInvestigation of the wetting effects on two-phase fluid flows in a heterogeneous digital core under dynamic conditionsЗакировТ. Р.ZakirovT. R.

Тимур Рустамович Закиров – канд. физ.-мат. н., доцент кафедры математических методов в геологии, Институт геологии и нефтегазовых технологий

420033, Казань, ул. Кремлёвская, д. 4/5

Timur R. Zakirov – PhD (Physics and Mathematics), Associate Professor, Institute of Geology and Oil and Gas Technologies

4/5, Kremlevskaya st., Kazan, 420033

tirzakirov@kpfu.ruХрамченковМ. Г.KhramchenkovM. G.

Максим Георгиевич Храмченков – д. физ.-мат. н., профессор, заведующий кафедрой математических методов в геологии, Институт геологии и нефтегазовых технологий

420033, Казань, ул. Кремлёвская, д. 4/5

Maxim G. Khramchenkov – DSc (Physics and Mathematics), Professor, Head of the Department of Mathematical Methods in Geology

4/5, Kremlevskaya st., Kazan, 420033

Казанский (Приволжский) Федеральный университетРоссияKazan Federal UniversityRussian Federation2022140420242411626Copyright © Закиров Т.Р., Храмченков М.Г., 20242024Закиров Т.Р., Храмченков М.Г.Zakirov T.R., Khramchenkov M.G.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.geors.ru/jour/article/view/151

Работа посвящена исследованию влияния краевых эффектов смачивания на характеристики двухфазного течения жидкостей в двухмерных искусственно сгенерированных цифровых моделях пористых сред. Особенностью работы является изучение вытеснения при динамических условиях, при которых действие вязких сил трения является существенным. В качестве инструмента исследования используются методы математического моделирования – решеточные уравнения Больцмана в сочетании с моделью градиента цветового поля, описывающей межфазные взаимодействия. Вычислительные эксперименты проводятся в цифровой модели пористой среды, отличающейся высокой степенью неоднородности порового пространства. В работе построена карта режимов течения в координатах «число капиллярности – краевой угол смачивания». Проведена идентификация четырех переходных режимов кроссовера между течениями с капиллярными, вязкими пальцами и со стабильным фронтом вытеснения. Отдельное внимание уделено изучению влияния эффектов смачивания на удельную длину межфазной границы раздела «нагнетаемая жидкость – скелет».

The paper studies the wetting effects on the characteristics of two-phase fluid flows in porous media. The originality of paper is a study of displacement under dynamic conditions when the action of viscous forces is significant. As a research tool, the methods of mathematical modeling are used – the lattice Boltzmann equations in a combination with a color-gradient model that describes interphacial interactions. Numerical experiments are carried out in a digital model of a porous medium characterized by a high degree of the pore space heterogeneity. In this work, a map of flow regimes in the coordinates “capillarity number – contact angle” is performed. The identification of four crossover modes between flows with capillary, viscous fingers and with a stable displacement front is carried out. Special attention is paid to the study of the influence of wetting effects on the specific length of the “injected fluid – skeleton” interface.

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