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A Planar-3D Mathematical Model for Studying the Effect of Heterogeneity of Rock Fracture Toughness on Hydraulic Fracture Propagation: Early-Time Solution including the Stage before Propagationстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Kairui Li, Smirnov Nickolay N., Chengzhi Qi, Mingyang Wang, Pestov Dmitry A., Shamina Anastasia A.
- Журнал: Mathematics
- Том: 11
- Год издания: 2023
- Издательство: MDPI
- Местоположение издательства: Basel, Switzerland
- Первая страница: 1
- Последняя страница: 29
- Номер статьи: 2083
- DOI: 10.3390/math11092083
- Аннотация: Among the studies of the effect of rock’s heterogeneity on hydraulic fracture propagation,very liDle information on the effects of the heterogeneity of rock’s fracture toughness is available.The objective of the present paper is to develop a planar-3D model for studying the effect of theheterogeneity of rock’s fracture toughness on hydraulic fracture propagation. Not only the stage offracture propagation, but also the stage before the fracture propagation is considered in this model.Based on the proposed model, the evolution of hydraulic fracture propagation under a typical heterogeneous distribution of rock’s fracture toughness and the solution at the stage before fracture propagation are analyzed in detail. Furthermore, a series of numerical comparison experiments including five different distributions of rock’s fracture toughness are made in order to study the effectof the heterogeneity of rock’s toughness. The results indicate that the minimum fracture radius andthe contrast of rock’s fracture toughness between adjacent layers are important parameters for determining the size and location of the maximum fracture opening. Most importantly, the fracturecontour is greatly affected by the heterogeneity of rock’s fracture toughness
- Добавил в систему: Смирнов Николай Николаевич