Scales for reservoir heterogeneity
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2010
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R
ese
rvoir 
s
imulation
§
The dictionary meaning of the word 
‘simulate’is ‘to give an appearance of’
§
Forms an integral part of Reservoir 
Management Functions (RMF)
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2010
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Reservoir simulation
§
Mimics the behavior of a real system through 
a model (physical, analog, electrical or 
numerical) based on realistic assumptions
§
Simulation can be close to reality but it is 
never the reality ( should approach reality with 
time)
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2010
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Disciplinary contributions to reservoir modeling
NUMER
I
CAL
S
I
MULAT
I
ON
MODEL
Petrophysics
Fluid
Properties
Seismic
Interpretation
Model Grid
Effects
Geological
Model
Surface
Facilities
Economics
Wells
Vertical
Horizontal
Multilateral
RSIN1
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2010
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Num
e
ri
c
al Mod
e
l
§
Mathematical models
System
o
f
equations
describing
the
physical
behavior
These
are
complicated
nonlinear
partial
differential
equations
relating
pressure
and
saturation
changes
w
ith
time
Analytical
solutions-generally
impossible
Numerical
solutions
generally
the
only
w
ay
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2010
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Numerical Models
§
Basic equations for fluid flow
ú
Con
se
rvation of ma
ss
ú
Con
se
rvation of mom
e
ntum
ú
Con
se
rvation of 
e
n
e
rgy
ú
Rat
e
Equation
ú
EOS
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2010
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Numerical Models
§
Numerical solution produces 
answer at discrete points within 
the system
§
Use of ‘finite difference’for 
transforming the continuous 
differential equation to discrete 
form-both space and time are 
discretized (grid, timesteps)
§
Common solution procedures
I
MP
ES,
Ne
w
ton-Raphson
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2010
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Stochastic Modeling
§
Measures statistical variation in data 
points-maps similar statistical properties
§
Better describes the heterogeneity of the 
reservoir-(variograms-trends, direction)
§
Integrates independent measurements 
§
Uncertainty in measured values-assessed
§
Algorithm-Kriging, Conditional 
simulation,co-kriging
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2010
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Scales
f
or
reservoir
heterogeneity
RSIN3
M
I
CRO
Thin 
sec
tion
s
MACRO
Cor
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MEGA
W
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W
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3D 
se
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s
mi
c
G
I
GA
S
e
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s
mi
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s
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Grouping of fin
e
lay
e
r
s
for up
sc
aling
0%
20%
40%
60%
80%
100%
1 3 3 5 7 9 9 11 1 13 15 17 19 21 23 25 2729 31 33 35 37 39 41 43
Fin
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r
s
of 'a' para
se
qu
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<1
1 to 10
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1
4
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2
Mar-
2010
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Hi
s
tory Mat
c
h-Fir
s
t R
e
alization
Mar-
2010
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