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Table 4.3 Summary of selected studies comparing multi-scale factors on petroleum reservoir performance
Shallow
Marine a
Faulted Shallow
Marine b
Fault
modelling e
Fluvial c
Tidal Deltaic d
Sequence model
V
V
V
Sand fraction
S
S
V
S
n/a
Sandbody geometry
S
S
n/a
Vertical permeability
S
S
V
n/a
Small-scale heterogeneity
S
S
n/a
Fault pattern
n/a
S
n/a
n/a
S
Fault seal
n/a
S
n/a
n/a
S
V Most significant factor, S Significant factor, n/a not assessed
a Kjønsvik et al. ( 1994 )
b England and Townsend ( 1998 )
c Jones et al. ( 1993 )
d Brandsæter et al. ( 2001a )
e Lescoffit and Townsend ( 2005 )
Gravity-dominated
Fluid
segregation
Sequence
REV
Capillary trapping
and S or
Lithofacies
REV
Lamina REV
Viscous
fingering and
channeling
Capillary-dominated
Viscous-dominated
10 -12
10 -11
10 -10
10 -9
10 -8
10 -7
10 -6
10 -5
10 -4
10 -3
10 -2
10 -1
10 0
10 1
10 2
10 3
10 4
Measurement Volume [m 3 ] (log scale)
Fig. 4.29 Sketch illustrating the expected dominant fluid forces with respect to the important heterogeneity length-
scales
context of oilfield developments. An ambitious
study of the structurally complex Gullfaks field
(Jacobsen et al 2000 ) demonstrated that 25
million-cell geological grid (incorporating struc-
tural and stratigraphic architecture) could be
upscaled for flow simulation and resulted in a
significantly improved history match. Both strat-
igraphic barriers and faults were key factors in
achieving improved pressure matches to historic
well data. This model was also used for assess-
ment of IOR using CO 2 flooding.
Multi-scale upscaling has also been used to
assess complex reservoir displacement pro-
cesses, including gas injection in thin-bedded
reservoirs
alternating-gas (WAG) injection on the
Veslefrikk Field (Kløv et al 2003 ), and depres-
surization on the Statfjord field (Theting et al
2005 ). These studies typically show of the order
of 10-20 % difference in oilfield recovery factors
when advanced multi-scale effects are
implemented, compared with conventional
single-scale reservoir simulation studies. For
example, Figure 4.31 shows the effect of one-
step and two-step upscaling for the gas injection
case study (illustrated in Fig. 4.30 ). The coarse-
grid case without upscaling gives a forecasting
error of over 10 % when compared to the fine-
grid reference case, while the coarse-grid case
with two-step upscaling gives a result very close
to the fine-grid reference case.
(Fig. 4.30 )
(Pickup et al 2000 ;
Brandsæter
et
al.
2001b ,
2005 ), water-
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