proneftPROНЕФТЬ. Профессионально о нефтиPROneft. Professionally about Oil2587-73992588-0055«Газпром нефть»10.24887/2587-7399-2019-2-15-19proneft-306Research ArticleРАЗРАБОТКА И ЭКСПЛУАТАЦИЯ НЕФТЯНЫХ МЕСТОРОЖДЕНИЙDEVELOPMENT AND OPERATION OF OIL FIELDSИспользование явной схемы интегрирования по времени при моделировании гидроразрыва пласта с применением модели Planar3DUse of the explicit time integration scheme within the Planar3D approach for simulating hydraulic fracturingСтаробинскийЕ. Б.StarobinskiiE. B.st.eb@ailurus.ruСтепановА. Д.StepanovA. D.

Saint-Petersburg

Санкт-Петербургский политехнический университет Петра ВеликогоРоссияPeter the Great St.Petersburg Polytechnic UniversityRussian FederationООО «АИРТ»РоссияAIRT LLCRussian Federation201912062022021519Copyright © Старобинский Е.Б., Степанов А.Д., 20222022Старобинский Е.Б., Степанов А.Д.Starobinskii E.B., Stepanov A.D.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://proneft.elpub.ru/jour/article/view/306

Работа посвящена модели распространения трещины ГРП в слоистой среде на основе подхода Planar3D. Ключевые особенности предлагаемой модели заключаются в сведении системы дифференциальных уравнений в частных производных к динамической системе, а также применении универсальных асимптотик для определения положения фронта трещины. Приведено сравнение расчётов с опубликованными результатами моделей ILSA и EP3D. Обсуждается возможность учёта дополнительных эффектов (перенос проппанта, слоистость), а также методы ускорения расчетов.

This paper focuses on the Planar3D model for a hydraulic fracture in a layered medium. The specificity of the described approach is to use the explicit time integration scheme and reduce the system of partial differential equations to a dynamic system. The position of the crack front is determined using the universal asymptotics of the crack tip written for non-Newtonian fluids. The calculations are compared with the published results of the ILSA and EP3D models, and methods of acceleration and ways to account for additional effects are discussed.

гидроразрыв пластамодель Planar3Dявная схема интегрирования по времениуниверсальные асимптотикиhydraulic fracturingPlanar3D modelexplicit time integration schemeuniversal asymptoticsРабота выполнена при финансовой поддержке Министерства науки и высшего образования в рамках ФЦП «Исследования и разработки по приоритетным направлениям развития научнотехнологического комплекса России на 2014-2020 годы», Мероприятие 1.2., Соглашение о предоставлении субсидии №14.575.21.0146 от 26.09.2017, уникальный идентификатор ПНИ: RFMEFI57517X0146.ReferencesHydraulic fracture optimization with a p-3D model T. Pitakbunkate [et al.] // SPE 142303-MS. – 2011.Pitakbunkate T. et al., Hydraulic fracture optimization with a p-3D model, SPE 142303-MS, 2011.Computer simulation of hydraulic fractures J. 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The authors declare that there are no conflicts of interest present.