Realistic upscaling of fine-scale reservoir models is a great challenge for
reservoir engineers. The common problem of conventional upscaling methods
is that they may smear out the spatially continuous permeability extremes,
such as shale barriers and open fractures. Recent studies have shown that s
uch smearing effect has a significant impact on recovery in heterogeneous r
eservoirs, especially the breakthrough oil recovery. The conventional metho
ds are considered as local upscaling which concentrate on only local areas
and ignore geologically important structural information. A recent global u
pscaling approach attempts to solve this problem, but the resulting grid sy
stem may be over-irregular and becomes impractical for field applications.
This paper presents an improved global upscaling approach based on the repr
esentative elemental volume (REV) theory and the stepwise idea from renorma
lization. The new method focuses on the use of a new concept of REVGS (REV
Grid System) for constructing coarse blocks, which taking into account the
spatial connectivity of a global permeability field. Mathematically, the va
riance of permeability in the coarse blocks is the smallest within the bloc
ks, and the largest between the blocks. The resulting system can be readily
used in flow simulators. The proposed method is applied to two case studie
s. Compared to the conventional methods, the coarse grid system derived fro
m our improved global method successfully retains the permeability extremes
observed in the fine-scale models. The flow simulation results show that t
he consistency of the reservoir behavior before and after upscaling is exce
llent.