An efficient hybrid local nonmatching method for multiphase flow simulations in heterogeneous fractured media
 Hussein Mustapha
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This paper presents simulation methodology that combines a local nonmatching grid with a discrete fracture model. Designed for 2D and 3D multiphase flow simulations in standard simulators, the method handles matrix–matrix, fracture–fracture, and matrix–fracture connections in the context of an unstructured, local nonmatching grid. The grid is generated at the fracture intersections, enabling accurate modeling of small control volumes between connecting fractures. Grids are obtained simply by redistributing the volume of small control volumes surrounding the small control volumes, making the method computationally efficient. A unified method to calculate the interblock transmissibility is used for both matching and nonmatching mesh. An unstructured finitevolume graphbased reservoir simulator with a twopoint flux approximation reads the new grid by making a simple modification to the graph of connections between the control volumes. The method requires no special treatment of fracture–fracture or matrix–fracture transmissibility calculations and has the flexibility to simulate any flow problem efficiently. Several 2D and 3D numerical examples demonstrate the method’s performance and accuracy. Both simple and complex fracture configurations are presented with various levels of geologic and fluid complexity. The numerical results are in good agreement with those of a reference solution obtained on a finely structured grid.
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 Title
 An efficient hybrid local nonmatching method for multiphase flow simulations in heterogeneous fractured media
 Journal

Engineering with Computers
Volume 31, Issue 2 , pp 347360
 Cover Date
 20150401
 DOI
 10.1007/s0036601403550
 Print ISSN
 01770667
 Online ISSN
 14355663
 Publisher
 Springer London
 Additional Links
 Topics
 Keywords

 Discrete fracture model
 Hybrid grid
 Matching grid
 Nonmatching grid
 Mortar finite volume
 Industry Sectors
 Authors

 Hussein Mustapha ^{(1)}
 Author Affiliations

 1. Schlumberger, Abingdon Technology Centre, Lambourn Court, Wyndyke Furlong, Abingdon, Oxfordshire, OX14 1UJ, UK