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Simulation of multiphase flow in fractured reservoirs using a…
Comput Geosci (2010) 14:527–538
DOI 10.1007/s10596-009-9168-4
ORIGINAL PAPER
Simulation of multiphase flow in fractured reservoirs
using a fracture-only model with transfer functions
Evren Unsal · Stephan K. Matthäi · Martin J. Blunt
Received: 17 April 2008 / Accepted: 5 October 2009 / Published online: 13 November 2009
© Springer Science + Business Media B.V. 2009
Abstract We present a fracture-only reservoir simula- realistic fracture network. Waterflooding runs reveal
tor for multiphase flow: the fracture geometry is mod- the fraction of the fracture–matrix interface area that is
eled explicitly, while fluid movement between fracture infiltrated by water so that matrix imbibition can occur.
and matrix is accommodated using empirical transfer The evolving fraction of the fracture–matrix interface
functions. This is a hybrid between discrete fracture dis- area turns out to be an important characteristic of
crete matrix modeling where both the fracture and ma- any particular fracture system to be used as a scaling
trix are gridded and dual-porosity or dual-permeability parameter for capillary driven fracture–matrix transfer.
simulation where both fracture and matrix continua
are upscaled. The advantage of this approach is that
the complex fracture geometry that controls the main Keywords Fractured reservoirs ·
flow paths is retained. The use of transfer functions, Countercurrent imbibition · Dual porosity ·
however, simplifies meshing and makes the simula- Finite element/finite volume method
tion method considerably more efficient than discrete
fracture discrete matrix models. The transfer functions
accommodate capillary- and gravity-mediated flow be- 1 Introduction
tween fracture and matrix and have been shown to
be accur
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