Abstract
The multiscale hybrid-mixed (MHM) method is applied to the numerical approximation of two-dimensional matrix fluid flow in porous media with fractures. The two-dimensional fluid flow in the reservoir and the one-dimensional f... | Find, read and cite all the research you need on Tech Science Press
Highlights
Modeling and simulation of fluid flow in naturally and hydraulically fractured subsurface systems has been a popular research topic in petroleum engineering
We propose a multiscale hybrid-mixed finite element method for Discrete Fracture Model (DFM) and describe its implementation in the NeoPZ finite element library [Devloo (1997)]
We propose a hybridized mixed finite element formulation, which substantially decreases the size of the discrete linear system
Summary
Modeling and simulation of fluid flow in naturally and hydraulically fractured subsurface systems has been a popular research topic in petroleum engineering. Considering the distribution uncertainty and huge quantity of natural fractures in formations, hybrid approaches have been developed to reduce the prohibitive computational cost caused by direct simulation of small-size fractures [Lee, Lough and Jensen (2001)] These approaches simulate fractures of different scales with different models, which combine continuum models and DFM/EDFM. The continuum approach is employed to describe the dense small-scale fractures and DFM/EDFM is used to explicitly model the large-scale fractures [Moinfar, Varavei, Sepehrnoori et al (2012); Wu, Li, Ding et al (2014); Jiang and Younis (2016)] Such a methodology has been proved effective by numerical studies; see Moinfar [Moinfar (2013)] and references therein for details.
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