

UPSCALING IN SUPER ELEMENT MODELS OF TWOPHASE FLOWS
Potashev K.A.
Kazan (Volga Region) Federal University, Kazan, Russia
Citation:
Potashev, K.A., (2013) Upscaling in super element models of twophase flows, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 244  250.

Keywords: upscaling; twophase flow in porous media; relative phase permeability; oil reservoir simulation; super element method 
Abstracts:
The new super element approach to petroleum reservoir simulation has been developed by the authors. The suggested method is based on a numerical solution of 3D twophase filtration flow equations on a coarse unstructured grid. Each grid cell represents a superlement which is bounded by a Voronoi cell around a well projection in a horizontal plane (hundreds of meters across) and by borders of geological pack (a collection of adjacent geological layers) in the vertical direction. In present work methods of upscaling of absolute and relative permeability of oil reservoir is presented. The suggested methods consider peculiarities of superelement structure and provide equivalence of resulted upscaled properties to an original geological formation. An upscaling of absolute permeability is carried out by considering each superelement separately. The given highresolution scalar permeability ﬁeld is evaluated into the permeability tensor as a result of numerical solution of local single phase ﬁltration problem within each coarse 3D element. Average velocity and minimum dissipation energy principles are used to obtain tensor components. Upscaling of phase permeabilities consists of adjustment of relative permeabilities curves. With low variability of layers properties in a horizontal direction taken into account upscaling problem reduces to averaging of twophase 2D flow in a vertical section of reservoir. Testing of presented method of relative permeability upscaling confirmed its appropriateness. 
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