THE UNIVERSI
TY OF ADELAIDE
COUPLED FLUID FLOW-GEOMECHANICS
SIMULATIONS APPLIED TO COMPACTION AND
SUBSIDENCE ESTIMATION IN STRESS
SENSITIVE & HETEROGENEOUS RESERVOIRS
A THESIS SUBMITTED
FOR THE DEGREE
OF DOCTOR OF PHILOSOPHY
by
Ta Quoc Dung
Australian School of Petroleum, South Australia
2007
ii
Acknowledgements
First of all, I would like to express my
deep sense of gratitude to Dr. Suzanne
Hunt for her principle supervision and
important support throughout the duration of
this PhD research. I am grateful to her not only for encouragement and guidance
during academic years, but also for patience and help with regard to my English as
well as spending time to understand me personally.
I am also highly indebted to Prof. Pete
r Behrenbruch for his constant direction
through petroleum courses in the Australian school of Petroleum (ASP) and giving
me guidance. His industrial experience contributes to my professional development.
I would like to thank my supervisor Prof. Carlo Sansour for his exceptional
guidance and inspiration. He led me into the fascinating world of theory of continuum
mechanics. In addition, he introduced me to the other beauty in my life: Argentinean
Tango.
I also would like to take this opportunity to express my gratitude to all
colleagues and administrators. Particularly, I would like to thank Do Huu Minh Triet,
Jacques Sayers, Dr. Hussam Goda, Dr. Mans
oor Alharthy, Son Pham Ngoc, Pamela
Eccles and Vanessa Ngoc who have always been warm-hearted and helpful during the
most challenging times of PhD life. Thanks go to all friends in the ASP who shared
many hours of exciting soccer after working hours.
Financial support for both academic and life expenses was provided by the
Chapter 6: Determination of new relative permeability curve due to compaction and
its impacts on reservoir performance
147
-10.5
-10
-9.5
-9
-8.5
-8
-7.5
0 5000 10000 15000 20000 25000 30000
Distance (ft)
Compaction (ft)
Figure 6-13: Compaction profiles
6.5
Conclusions
The research here suggests that when th
e reservoir formation is compacted, the
compaction process can be briefly divided in
to 2 stages: rearrangement of sand grains
and sand-crushing. Based on the Carmen-Kozeny’s equation, a new method has been
introduced which is used to determine new values of irreducible water saturation
(S
wir
) due to compaction, calculated at each
stage as the reservoir is developed.
The new endpoint value is then applicable for creating new relative permeability
curves. Applying this methodology to a case study of a compaction reservoir in a
Venezuelan field, it is shown that this
method has more accurate applicability for
coupled reservoir simulation particularly
in investigation of reservoir performance
and compaction prediction. Further it is shown that accounting for changes in
irreducible water saturation, residual oil saturation, effective porosity, altered
Conventional model
Model taking account change
of relative permeability curve
Chapter 6: Determination of new relative permeability curve due to compaction and
its impacts on reservoir performance
148
permeability and changes in relative permeability, all as a result of compaction, may
be significant. In this way it is possi
ble to better describe overall reservoir
performance and petroleum recovery. In addition, the approach can be used to
evaluate the extent of formation compaction and reservoir performance resulting from
the variation of stress sensitive porosity/permeability. This research also shows that
compaction can have an advantage partic
ularly in reducing water production. The
theory and practical methodologies developed in this chapter can be extended by
applying to other case studies, where compaction and stress sensitivity dominate the
drive mechanism.
New distributions of n
o
and n
w
are determined using Monte Carlo simulation.
Values of n
o
and n
w
are not only a function of S
w
but depend on S
wir
,
φ
as well as S
or
.
The new range of values of n
o
and n
w
are established. Minimum and maximum of n
o
are 2.14 and 3.37. Minimum and maximum of n
w
are 2.29 and 3.32. Consequently,
the new range resulting from Monte Carlo simulation provides the decision maker
with a better range of possible scenarios thus allowing for more accurate decision-
making.