Permeability and porosity parameters of a porous medium are known only in a statistical sense. For risk assessment, one must perform multiple ow simulations of a single site, varying these input parameters. Because multiple simulations of large sites are computationally prohibitive, upscaling from ne to coarse scales is necessary. Traditional upscaling techniques determine a new eeective or ups...

The aim of upscaling is to determine equivalent homogeneous parameters at a coarse-scale from a spatially oscillating fine-scale parameter distribution. A large variety of upscaling methods is available, among which the homogenization method plays an important role. This paper presents an extension of the classical homogenization method to nonlinear problems as they occur while upscaling parame...

When the permeability field of a given porous medium domain is heterogeneous by the existence of randomly distributed fractures such that numerical investigation becomes cumbersome, another level of upscaling may be required. That is such complex permeability field could be relaxed i.e., smoothed by constructing an effective permeability field. The effective permeability field is an approximati...

This paper presents a new technique for computing the eeective permeability on a coarse scale. It is assumed that the permeability is given at a ne scale and that it is necessary to reduce the number of blocks in the reservoir model. Traditional upscaling methods depend on local boundary conditions. It is well known that this approach often leads to ill-posed problems. We propose to compute a c...

Rock typing is an essential part of building geological model for an asset. Millions of dollars are invested in logs, core measurements, SCAL studies and geological interpretation that result in definition of different rock types. In most caes rock types that are identified in a reservoir do not have crisp boundaries and display overlapping characteristics. During the upscaling process, multipl...

We propose a methodology, called multi-level local-global (MLLG) upscaling, for generating accurate upscaled models of permeabilities or transmissibilities for flow simulation on adapted grids in heterogeneous subsurface formations. The method generates an initial adapted grid based on the given fine-scale reservoir heterogeneity and potential flow paths. It then applies local-global (LG) upsca...