Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)2270010.22363/2658-4670-2019-27-3-205-216Modeling and SimulationМатематическое моделированиеResearch ArticleSimulation of a gas-condensate mixture passing through a porous medium in depletion modeМоделирование прохождения газоконденсатной смеси через пористую среду в режиме истощенияVolokhovaAlina V.ВолоховаАлина Викторовна

Junior Researcher of Joint Inststute of Nuclear Research

bskr@yandex.ruZemlyanayaElena V.ЗемлянаяЕлена Валериевна

Doctor of Physical and Mathematical Sciences, Head of sector of Joint Inststute of Nuclear Research, Professor of State University “Dubna”

elena@jinr.ruKachalovVladimir V.КачаловВладимир Викторович

Candidate of Technical Sciences, Senior Researcher of Joint Institute for High Temperatures of Russian Academy of Sciences

ongk@mail.ruRikhvitskyVictor S.РихвицкийВиктор Сергеевич

Leading Programmer of Joint Inststute of Nuclear Research

rqvtsk@mail.ruSokotushchenkoVadim N.СокотущенкоВадим Николаевич

Candidate of Technical Sciences, Associate Professor of State University of Dubna, Leading Engineer of Joint Institute for High Temperatures of Russian Academy of Sciences

sokotushenko@mail.ruJoint Institute for Nuclear ResearchОбъединённый институт ядерных исследованийState University “Dubna”Государственный университет «Дубна»Joint Institute for High Temperatures of Russian Academy of SciencesОбъединённый институт высоких температур РАН15122019273VOL 27, NO3 (2019)ТОМ 27, №3 (2019)20521622012020Copyright ©; 2019, Volokhova A.V., Zemlyanaya E.V., Kachalov V.V., Rikhvitsky V.S., Sokotushchenko V.N.Copyright ©; 2019, Волохова А.В., Земляная Е.В., Качалов В.В., Рихвицкий В.С., Сокотущенко В.Н.2019Volokhova A.V., Zemlyanaya E.V., Kachalov V.V., Rikhvitsky V.S., Sokotushchenko V.N.Волохова А.В., Земляная Е.В., Качалов В.В., Рихвицкий В.С., Сокотущенко В.Н.http://creativecommons.org/licenses/by/4.0https://journals.rudn.ru/miph/article/view/22700

One of important tasks in a development of gas-condensate fields is to minimize hydrocarbons loss arising from the gas condensation in pores of the gas-bearing layer. The search for the optimal gas production regime is carried out both on the basis of laboratory experiments and on the base of computer simulation. In this regard, the relevant is the verification of the constructed mathematical models by means of comparison of numerical results with experimental data obtained on the laboratory models of a hydrocarbon reservoirs. Within the classical approach on the basis of the Darcy law and the law continuity for flows, the model is formulated that describes the passing a multicomponent gas-condensate mixture through a porous medium in the depletion mode. The numerical solution of the corresponding system of nonlinear partial differential equations is implemented on the basis of the combined use of the C++ programming language and the Maple software. Shown that the approach used provides an agreement of results of numerical simulations with experimental data on the dynamics of hydrocarbon recoverability depending on the pressure obtained at VNIIGAZ, Ukhta.

Одной из важных задач при разработке газоконденсатных месторождений является минимизация потерь извлекаемых углеводородов, возникающих из-за конденсации газа в порах пласта. Поиск оптимальных режимов газодобычи производится как на основе лабораторных экспериментов, так и на основе компьютерного моделирования. В этой связи актуальность приобретает верификация построенных математических моделей на основе сопоставления расчётных данных с данными, полученными в ходе экспериментов на лабораторной модели пласта. В рамках классического подхода, основанного на законе Дарси и законе неразрывности потоков, сформулирована модель, описывающая прохождение многокомпонентной газоконденсатной смеси через пористую среду в режиме истощения. Численное решение соответствующей системы нелинейных уравнений в частных производных реализовано на основе комбинированного применения С++ и Maple. Показано, что используемый подход обеспечивает количественное согласие полученных численных результатов с экспериментальными данными, полученными в ВНИИГАЗ (г. Ухта), по динамике извлекаемости углеводородов в зависимости от давления.

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