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Enhanced	Oil	Recovery	and	CO2	Storage	by
Carbonated	Water	Injection
Conference	Paper	·	December	2009
DOI:	10.2523/14070-ABSTRACT
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Mehran	Sohrabi
Heriot-Watt	University
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1
CARBONATED WATER INJECTION FOR OIL
RECOVERY AND CO2 STORAGE
M. Sohrabi, M. Riazi, M. Jamiolahmady, S. Ireland and C. Brown
Institute of Petroleum Engineering, Heriot-Watt University, Edinburgh, Scotland
Abstract
CO2 injection is increasingly considered as having potential applications as a possible
enhanced oil recovery (EOR) process for oil reservoirs. Storage potential of these
reservoirs to store CO2 for a long period of time also provides an opportunity to
develop sustainable solutions in response to the challenge of continued use of fossil
fuels, climate-change and compliance with national and international commitments to
reduce CO2 emissions. Poor sweep efficiency has been a problem in CO2-floods of
many oil reservoirs and hence, injection strategies like WAG (water-alternating-gas)
injection have been proposed and applied as a way to mitigate the problem. An
alternative injection strategy is carbonated water injection (CWI).
This paper describes some of the results of an ongoing research project to investigate
both experimentally and theoretically the process of CWI. The results of our flow
visualization experiments using high-pressure transparent micromodels, reveal the
underlying physical processes and the pore-scale mechanisms of fluid-fluid and fluid-
solid interactions during CWI. The results show that CWI, compared to unadulterated
water injection, improves oil recovery as both secondary (before water flooding) and
tertiary (after water flooding) recovery methods. The improvement is, however,
higher when carbonated water is injected in the secondary recovery mode. The main
mechanisms of oil recovery by CWI are swelling and coalescence of the isolated oil
ganglia and the resultant fluid redistribution as a result of CO2 diffusion. A
favourable increase in water viscosity and decrease in oil viscosity also contribute to
this promising enhanced oil recovery method.
A one-dimensional mathematical model is also presented which honours the
experimental observations and simulates the dynamic process of oil swelling due to
CO2 dissolution with and without water layers separating the oil from the source of
CO2.
2
Introduction
Many of the existing giant oil fields discovered to date are approaching the end of
their water flooding lives and are in tail end production. EOR (enhanced oil recovery)
processes are therefore needed to maximise oil recovery from these reservoirs and to
meet the rising global energy demand. CO2 injection is increasingly considered as
having potential applications as a possible EOR process for these reservoirs. The pore
space available in these reservoirs can also store a significant amount of CO2 as part
of a CCS (carbon capture and storage) programme for a long period of time.
Storage of CO2 in geological reservoirs is likely to provide the first large-scale
opportunity for concentrated storage of CO2. The method involves injecting carbon
dioxide directly into underground geological formations. Declining oil fields, saline
aquifers, and unminable coal seams are being considered as possible storage sites.
Based on international energy agency’s report (December 2006), global geological
storage potential equals at least equivalent of some 80 years current level of CO2
emissions (2000 GtCO2); Saline formations 400-10 000 Gt; depleted oil/gas fields
900 Gt; unmineable coal seams 30 Gt. Although hydrocarbon reservoirs might have
lower capacity than aquifers for geological CO2 storage, they are most likely to be
implemented first because of a number of reasons including additional economic
benefit through EOR, existence of abundant characterisation data and utilising at least
part of the existing infrastructure.
Studies show at depths below about 800–1000 m, CO2 has a liquid-like density that
provides the potential for underground storage in the pore spaces of sedimentary
rocks. CO2 can be trapped underground by various storage mechanisms, such as
(Semere Solomon 2007):
1. Trapping below an impermeable, confining layer or caprock (Structural and
stratigraphic trapping or physical trapping)
2. The CO2 is retained or adhered on the surfaces of the pore spaces of the
storage formation so that it becomes contained as immobile phase (Residual
CO2 trapping)
3
3. Dissolved in the fluids contained in the pore spaces of the formation
(Solubility or dissolution trapping), and
4. Additionally, it may be trapped by reacting with the minerals in the storage
formation and caprock to produce carbonate minerals (Mineral trapping).
CO2 becomes less mobile over time as a result of multiple trapping mechanisms,
further lowering the prospect of leakage, which builds the confidence in geological
security of carbon dioxide storage.
CO2 has been injected into oil fields for the purpose of EOR (enhanced oil recovery)
for more than 30 years, to increase oil recovery. CO2 injection for EOR and storage is
attractive because the additional oil recovery can offset at least part of the CO2
storage costs. Further benefits might include:
• Low-cost exploration, because the geology is already well known
• Proof that the reservoirs have been capable of retaining liquid and gases over a
very long period of time.
• Production and often injection equipment already installed on site, which
could be used to transfer and inject CO2.
• Regulations already in existence.
• All oil fields have a geological barrier preventing upward migration of oil. It is
supposed that these geological barriers will also be sufficient as long-term
barrier to contain the injected CO2
Many of the reservoirs today are produced efficiently with water injection and have
been for some time. However, after water flooding, quite a large volume of oil is still
left in the reservoir. There is thus a good scope for CO2 storage due to high CO2
solubility in the oil phase.
CO2 injection to enhance oil recovery is well documented. CO2 injection into an oil
reservoir increases oil recovery by primarily altering the physical properties of the oil
phase i.e. swelling of the oil, reduction of oil viscosity, reduction of interfacial tension
to water and possible vaporization and extraction of intermediate components. It has
been reported that poor sweep efficiency (due to a high CO2 mobility) has been a
4
problem in CO2-floods of many oil reservoirs (Patel, P.D. 1987). Therefore, direct
injection of CO2 (both continuous flooding and WAG) might not result in
economically significant amount of additional oil recovery. In terms of CO2 storage
potential, poor sweep efficiency also implies lower storage capacity. An alternative
injection strategy could be carbonated water (CO2-enriched water) injection.
Carbonated water might have advantages over direct CO2 injection in terms of better
sweep efficiency. In water flooded reservoirs, CWI can alleviate the adverse effect of
high water saturation and the water shielding effects as a result of mixing with the
resident water. This might in turn improve increase the rate of CO2 diffusion and the
subsequent oil swelling. It has been shown that in direct CO2 injection, due to low
sweep efficiency and gravity segregation, the time scale of diffusion can be several
years (Semere Solomon 2007). In terms of CO2 storage, as in CWI CO2 is dissolved
in water (and later oil) rather than as a free phase, CWI would provide a safe method
of storage.
In this study, to understand the dominant mechanisms in carbonated water injection
(CWI) a series of two phase fluid flow experiments were performed using high-
pressure two dimensional glass micromodel. CWI as both secondary and tertiary oil
recovery processes was studied. The recorded video clips of these tests give
quantitative and qualitative information which are being used in our modeling work.
A mathematical model has been developed to simulate the CWI process at the pore
level. The dynamic process of swelling of an oil droplet separated from a CO2 source
(carbonated water) by a water layers as well as when it is in direct contact with CO2
source was studied.
One of the advantages of this model could be the estimation of the effective diffusion
coefficient in porous media, which can be considered as a matching parameter
between the results of the model and the experiments under the same prevailing
conditions. Partition coefficient is another important pertinent parameter that can be
determined in similar manner.
5
EXPERIMENTAL WORK
Experimental Facilities
A modified high-pressure micromodel rig is being used for performing carbonated
water injection tests. The rig can operate at pressures as high as 5000 psia and at a
temperature of 100 °F. High-pressure micromodel rigs have been extensively used in
our research group and the details of the rig have been reported in our previous
publications (Sohrabi et al, 2000, Sohrabi et al, 2007, Sohrabi et al, 2008). The
micromodel rig is shown schematically in Figure 1. The rig consists of the following
major components.
Fluid Storage Oven
A temperature-controlled air oven is used to store the injection fluids, lines and
connections at constant temperature. In this part of the rig there are six storage cells,
five of which are for injection of CO2 in temperature equilibrium with water (gas),
carbonated water, plain water, oil and overburden fluid (glycerol) and one is used to
retract the fluids from bypass and micromodel outlet.
Micromodel Oven
Another temperature-controlled air oven is used to maintain the overburden chamber,
which houses the micromodel and maintains it at constant temperature. This chamber
can be turned to allow performing flow tests at any desired degree of orientation,
including vertical and horizontal. This is particularly important for inclusion or
exclusion of the gravity effects.
Low Rate Pumps
To inject fluid into the system (micromodel and overburden chamber) two low-rate
pumps are being used. A third pump is used to pull back the fluids and collect them
into the retract cell. The pumps are capable of working at pressures up to 5000 psia
with a flow rate in the range 0.0001 to 14 cm3
/hr.
Optical System
A camera mount and positioning system is used which allows a camera and its
magnifying lens to be positioned at any part of the micromodel. It is also used to scan
6
the micromodel for video and still image recording. Figure 2 shows the optical system
of the rig.
Glass Micromodels
A two-dimensional pore structure is etched onto the surface of a glass plate, which is
otherwise completely flat. A second glass plate is then placed over the first, covering
the etched pattern and thus creating an enclosed pore space. This second plate, the
cover plate, has an inlet hole and an outlet hole drilled at either end, allowing fluids to
be displaced through the network of pores (Figure 3). Because the structure is only
one pore deep, and the containing solid walls are all glass, it is possible to observe the
fluids as they flow along the pore channels and interact with each other. It is also
possible to observe how the geometry of the pore network affects the patterns of flow
and trapping.
At this stage of the project a water-wet micromodel with a geometric pore pattern has
been used. The micromodel dimensional characteristics are shown in Table 1.
Test fluids
The fluid system used in the experiments consisted of distilled water, n-Decane and
carbon dioxide. Carbonated water was prepared by mixing degassed distilled water
with CO2 in a rocking cell at 38 °C and 2000 psia. The content of the rocking cell was
mixed for a long period of time while its pressure was monitored. Obtaining constant
pressure during mixing is a good indication that the fluids inside the cell are at
equilibrium and the pressure can be considered the equilibrium pressure. Finally, the
equilibrium phases were transferred into their storage vessels and maintained at the
test pressure and temperature.
To distinguish between oil and the aqueous phase, the colour of the water was
changed to blue using a water-soluble dye. In two of the preliminary tests, the colour
of oil (n-Decane) was changed to red using an oil soluble red dye but some evidence
of wettability alteration, away from strongly water-wet, was observed so it was
decided to eliminate the red dye in the oil phase. The dyed fluids were filtered using
fine filter papers to remove any un-dissolved dye particles.
7
Test procedure
In the tests reported here, the micromodel orientation was horizontally to minimise
the gravity effect. After cleaning and pressurising the system, the (water-wet)
micromodel was fully saturated with clear distilled water and subsequently displaced
with blue dyed water, Figure 4. Figure 5 shows a part of micromodel 100% saturated
with degassed blue dyed water. Similar images, taken from the middle of micromodel
and in higher magnification, were prepared to show the details of changes of fluid
distribution during the tests. The whole micromodel is made up ten of these frames. It
should be noted that the entire micromodel was used to estimate the swelling, oil
saturation and amount of oil production during the experiments. To simulate primary
drainage of water, initial migration of oil into the water bearing porous media, the oil
phase was injected from one end of the horizontal micromodel.
The oil injection was carried out at a rate of 2 cm3
h-1
. Figure 6 reveals the irreducible
(connate) water saturation (Swi), established after oil injection for the same section of
micromodel shown in Figure 5. This image shows the relative position of the wetting
phase, blue water, and non-wetting phase, oil, in the micromodel. The shape of the
water-oil interface and the fact that some of the smaller and dead-end pores are filled
with water phase are good indications of water-wet conditions.
After this initial oil injection stage (establishment of ‘irreducible’ water), two
experiments were carried out to study carbonated water injection process as both
secondary and tertiary oil recovery mechanisms. In the first test, CW (carbonated
water), as a secondary recovery method, was injected at a low rate of 0.01 cm3
h-1
into
the micromodel saturated with oil at Swi.
Figure 7 shows the fluid distribution (in the same section of the micromodel shown in
Figure 5) after breakthrough (BT) of CW (injected as a secondary recovery
mechanism). As this image demonstrates, the oil phase has been disconnected after
CWI and the remaining oil is in the form of isolated and fragmented oil pieces. The
mechanisms observed for oil recovery and displacement during CWI were both film
flow and piston type displacement.
8
Figure 8 shows fluid distribution within the selected section of the micromodel after
79 hrs of CWI. Comparison of this image with Figure 7 shows both swelling and
reconnection of some oil ganglia due to this swelling as well as oil displacement in
this frame of the micromodel. In Figure 8, the red rectangle demonstrates an example
of oil reconnection due to swelling during CWI.
Figure 9 shows some magnified images that were taken from another section of the
micromodel in this experiment. These images show fluid distribution during different
stages of CWI (as a secondary oil recovery method). Figure 9A shows the initial oil
saturation (oil is shown in bright colour) after the irreducible (connate) water
saturation (Swi) (blue) was established. Figure 9B shows the fluid distribution after the
breakthrough (BT) of CWI. The main production of oil happened at this stage and the
un-recovered oil remained trapped. Figure 9C illustrates oil swelling after about 19
hrs of CWI and the resultant coalescence of some of the oil blobs enriched with CO2.
CW has been displaced by the swollen oil in several locations (highlighted by red
rectangles in Figure 9B and 9C). Figure 9D shows a second oil displacement and
reduction of Sor, i.e., oil production, (highlighted by pink rectangles in the frames C
and D) due to the coalescence of the trapped oil blobs and the resultant change in the
fluid distribution. In the second test, CWI as a tertiary recovery method, after the
breakthrough of the injected water, no more oil production and changes in fluid
distribution took place. This confirms that the change in fluid distribution, after BT of
CWI, as mentioned above, is due to the diffusion of CO2 from CW into the oil phase.
The oil saturation of the porous section of the micromodel was estimated using the,
Adobe Photoshop CS image analysis software. In this method we estimated fluid
saturation based on the number of pixels representing each phase. The depth of the
pores in the micromodel was assumed equal.
Figure 10 and Table 2 show oil saturation in the micromodel versus time during CWI.
The data of this Figure can be divided into three parts: 1) main oil displacement after
BT of CWI 2) oil swelling after trapping of the oil phase during the main
displacement, 3) coalescence of the isolated oil ganglia as a result of swelling and the
resultant oil production. It should be noted that the micromodel is a two dimensional
9
(2D) porous medium and one would expect more oil connectivity and more oil
displacement in a more realistic 3-D realistic porous medium.
In the second test, CWI as a tertiary oil recovery method, water was first injected at
the same injection rate of 0.01 cm3
h-1
into the oil saturated micromodel at Swi till no
further oil production and change in fluid distribution observed. Then CWI was
performed with the same rate as the preceding water flood.
Figure 11 shows oil saturation in the micromodel versus time for this test. Table 3
gives the same data in Tabular form. The green line in Figure 11 shows WI stage. The
main oil recovery took place as a result of WI and in a relatively short period of time
compared to the rest of this experiment. The blue line indicates the second stage of
this test that corresponds to the main swelling as a result of CWI. At the end of this
stage some oil (estimated around 2.3 %) was produced, which is shown as a drop in
oil saturation at the end of the curve of Figure 11.
A comparison of these two tests revealed that although CWI recovered extra oil after
BT both as secondary and tertiary recovery methods, the extra oil was recovered
faster and in larger quantity in the secondary rather than tertiary mode. CWI was
continued in both these tests till no further notable fluid distribution change was
observed in the micromodel. The main mechanisms of oil recovery by CWI are
improved sweep efficiency due to swelling and coalescence of the isolated oil ganglia
and the resultant fluid redistribution. It is also expected that a favourable increase in
water viscosity and decrease in oil viscosity would improve the CWI performance.
It is not possible to show the swelling curve of the whole micromodel as oil
displacement and production continues when swelling is in progress. Hence, we
focused on an oil drop trapped in lowest part of the micromodel. CW trapped this oil
after entering the porous section of the micromodel. Several highly magnified images
were taken during CWI. Figure 12 shows this oil drop at three different time steps,
t=0, 5.43 and 93.17 hrs, respectively. The approximate dimensions of this oil drop are
477 mµ * 135 mµ as shown in Figure 12. Comparison of these images indicates some
swelling during CWI. It was assumed that the depth of this section of the micromode
10
is uniform. The numbers of areal oil phase pixels are given in Table 4 and plotted in
Figure 13. The amount of swelling based on these data was estimated to be around
22.4%.
Based on equilibrium condition of these two tests the stored CO2 in the residual oil
saturation is about 18 Vol% (23% of dead oil volume) and in water phase around 7
Vol%, Table 5 compares the percentage of CO2 in the micromodel after CWI in both
tests. This data reveals that although the oil recovery in the second test is less, the
amount of CO2 storage (13.37%) is higher than the corresponding value in the first
test (12.94%) mainly due to higher CO2 solubility in oil compare to water.
This amount of storage in real scale is huge and considerable: Based on the recent
UK production Data Release (1 April 2008) the total injected water in all the oil fields
in the UK, offshore and land oil fields, in the last year, 2007, was about 7.1E+7 tons.
A rough estimate shows that if carbonated water had been used instead of water,
assuming the same level of CO2 solubility observed in our experiments, we would
have had about 4.05E+6 tones of CO2 storage.
MATHEMATICAL MODELING
One of the most important mechanisms that could lead to increased oil recovery in
CWI process is swelling, coalescence and remobilisation of the isolated oil ganglia as
a result of the diffusion of CO2 from CW into the oil. The impact of CO2 diffusion in
direct CO2 injection, as a tertiary oil recovery mechanism, has been investigated by
several researchers (Grogan, et al. 1987, 1988- Campell, et al. 1985- Do 1993-
Bijeljic, et al. 2002). In all these studies the presence of a water layer separating the
oil and CO2 phases has been shown to have a significant negative impact on the CO2
diffusion process. However, the impact of pertinent parameters on CWI process is yet
unknown.
Figures 14.A and 14.B show a schematic diagram of an isolated oil droplet in a dead
end pore for two different scenarios. In the first scenario, oil is surrounded by flowing
CW (CO2 source). In the second case water (from previous water flood) is separating
oil from injected CO2 source (CW).
11
Figures 15.A and 15.B are 1-D demonstrations of CO2 concentration in water, oil and
CW for the above mentioned two scenarios, respectively. We have assumed that CO2
concentration in the flowing CW is constant. The CO2 concentration in the oil phase
at the interface is more than that in the water (or carbonated water) phase due to its
increased solubility. This value can be estimated assuming CO2 concentrations in the
two phases are at equilibrium at the interface using partition coefficient as follows:
WCOowCOOCO CKC −−− = 2/22 , (1)
where KCO2-w/o is the water/oil-CO2 partition coefficient, which is defined as the ratio
of the equilibrium concentrations of a solute (CCO2 in this case) in two largely
immiscible solvents.
CCO2-O is the CO2 concentration in the oil phase,
CCO2-W is the CO2 concentration in the water phase.
The following further assumptions were made:
1. The effect of capillary force on the interface is neglected, i.e., the interface is
flat.
2. CO2 diffusion coefficients in oil and water are constant during the diffusion
process.
3. The fluid system is an ideal mixture, that is, the total volume is the summation
of volumes of oil and CO2.
4. The partial density of CO2 is known and constant.
5. The change in the volume of water barrier due to CO2 diffusion has been
neglected, in the second scenario.
6. Oil, water and CW are at equilibrium conditions at the CW/water interface and
the water/oil interface.
7. In the model (Figure 15), oil/water boundary in the second scenario and
oil/CW boundary in the first scenario moves to the right due to the swelling of oil
only. The resultant displaced water will be flowing with no additional resistance with
the main flow stream.
12
Governing Equations
Second Fick’s law states that CO2 concentration in oil and water is a function of time
(t) and position (x, y and z). Equation 2 expresses this relationship in our 1D (one
dimensional) system:
2
2
2
22 ),(),(
x
xtCD
t
xtC COCOCO
∂
∂
=
∂
∂
(2)
The oil volume increases because of increased CO2 concentration due to CO2
diffusion. A combination of mass balance and the assumption of an ideal mixture,
gives Equation 3, which determines the speed of interface movement:
)](1[
]
)(
)([
)(
2
2
2
2
2
2
tC
Mw
t
tC
tx
Mw
dt
tdx
CO
CO
CO
CO
CO
CO
ρ
ρ
−
∂
∂
= , (3)
where )(2 tCCO and
t
tCCO
∂
∂ )(2
are the volumetric average of CO2 concentration and its
gradient with respect to time, at any time, and are calculated using Equations 4 and 5,
respectively.
)(
),(
)(
)(
0
2
2
tx
dxxtC
tC
tx
CO
CO
∫
= , (4)
)(
),(
)(
)(
0
2
2
tx
dx
t
xtC
t
tC
tx
CO
CO
∫ ∂
∂
=
∂
∂
. (5)
Initial and Boundary Conditions
Equations 2 to 5 describe the dynamics of the process. In the case of first scenario,
direct contact of oil and carbonated water, two initial conditions and two boundary
conditions are required, to solve equations 2 to 5, as follows:
Initial CO2 concentration in oil is zero, 0)0(,2 ==tC OCO ,
13
The initial position of interface (xi) is known.
At oil/water interface, right hand side boundary of oil domain (Figure 15.A),
concentration of CO2 in the water phase is known and that of the oil phase is
calculated using Equation 1.
There is no diffusion at the left hand side boundary.
To solve this set of equations, for the second scenario, three initial conditions and four
boundary conditions, two for each (oil & water) sub-domain, are required. The initial
conditions are:
Initial CO2 concentration in oil is zero, 0)0(,2 ==tC OCO ,
Initial CO2 concentration in water is zero, 0)0(,2 ==tC wCO ,
The initial position of interface (xi) is known.
At oil/water interface, the right hand side boundary of the oil domain (Figure 15B),
CO2 diffuses from a high CO2 concentration calculated using Equation 1. The CO2
concentration on the left hand side of water domain at this interface is updated from
the solution of Equation 2. The left hand side boundary of oil domain is a no flow
boundary without any diffusion.
At the water/CW interface, right hand side of water domain (Figure 15.B), CO2
diffuses from a high CO2 concentration, which is equal to the CO2 concentration in
CW.
Solution Technique
The partial (Equation 2 for both oil and water) and ordinary (Equation 3) differential
equations together with two auxiliary equations (Equations 4 and 5) and the
associated boundary and initial conditions described above were solved using Comsol
multi-physics, which is based on the finite element method.
In this study, we initially verified the integrity of the model by simulating the
experiment conducted by Campbell, et al. (1985). In Campbell’s experiment
Soltrol130, which is a mineral oil, was used as the oil phase, so the result of this
section of study is based on Soltrol 130 for which all the required data are available
from the literature (Campbell, et al., 1985 and Grogan and Pinczewski, 1987). The
modelling of explained our experimental results are underway.
14
The process under this study and the equation described above are for a 1-D system
but here, to show the result more clearly, we used a 2-D sub-domain. Considering the
symmetry in y-direction, this will not affect the results and conclusions of the study.
Figure 16A shows an example of CO2 concentration in the oil phase in the developed
model, second scenario, after 3000 sec. This image also shows the amount of
oil/water interface movement after this time. The corresponding CO2 concentration in
the water phase has been shown in Figure 16B. Comparison of these two Figures
highlights that the model correctly assign a higher CO2 concentration in oil than that
in water at the oil/water interface which are related to one another by Equation 1.
Figure 17 shows the displacement of the oil/CW interface versus time for the swelling
process of the first scenario, direct contact of oil and CO2 source (CW), Figure 15A.
Figure 18 shows the displacement of the oil/water interface versus time for the
swelling process of the second scenario, indirect contact of oil and CO2 source (CW),
Figure 15B. These two Figures, similarly to the experimental results, shown in Figure
9, demonstrate the initial swelling rate is high but later it slows down. There are two
groups of parameters that affect CO2 diffusion from CW into the oil phase. The first
group includes; contact area between oil and water and CO2 diffusion coefficient. The
increase in these parameters increases the swelling rate. Swelling increases the contact
area hence, increasing the diffusion rate. The Oil viscosity decreases by increasing
CO2 concentration in oil phase, (Holm, L. W. (1974), Miller, J. S. (1981), Barrufet M.
A., et al. (1996), Simon, R (1964)). MacManamey and Woollen, 1973, based on some
experimental data, presented an empirical correlation to express the increase in CO2
diffusion coefficient with a decrease in oil viscosity. The second group contains the
difference between concentration of CO2 in the oil and water phases (driving force)
and the length of oil phase. The former decreases whilst the latter increases with time,
both reduce the mass transfer rate and hence, swelling rate. The trend of Figures 17,
18 and 9 prove that the parameters in the second group win this competition in the
direction of reducing the swelling rate.
There is another important point that should be considered based on comparison of
the result of the first and second scenario: Although in this case DCO2-w is higher than
15
DCO2-o but the swelling time for the second scenario (2500 seconds for the base case
with 0.4 mm water barrier thickness) was not only significantly longer than that in the
first scenario (360 seconds for the same base case with 0.7 mm oil thickness) but also
longer than that corresponding to oil thickness of 1.1 mm, i.e., replacing water with
oil, as well (860 sec) highlighting the major negative impact of the water layer on
CO2 diffusion from CW to oil.
It should be noted that the swelling time which were reported above is based on the
required time for the interface to reach to 95% of its equilibrium position; the
remaining 5% interface movement required significantly longer time due to the
reduced diffusion gradient, i.e., driving force. Hence, the 95% of the final equilibrium
interface position is considered as equilibrium time.
Figure 19 shows the swelling curve of these three systems. Comparison of the curves
indicates that water barrier thickness is an important parameter in decreasing the CO2
diffusion rate from carbonated water into oil. Based on these data the swelling time of
the second scenario is the longest time, although the amount of swelling of the third
case, oil with thickness of 1.1 mm is higher and one expects more time to reach
equilibrium conditions.
CONCLUSIONS
Experimental work:
1. CW increases oil recovery both as a secondary and tertiary recovery method.
However this increase is higher in the secondary flood scenario.
2. The fluid flow displacement mechanism for both WI and CWI was both
piston-wise and film flow in different places of micromodel.
3. The main mechanisms of oil recovery by CWI are improved sweep efficiency
due to swelling and coalescence of the isolated oil ganglia and the resultant
fluid redistribution. A favourable increase in water viscosity and decrease in
oil viscosity should also favour higher oil recovery.
4. The amount of oil swelling for decane as a result of diffusion of CO2 from
CW at 2000 psia and 38 °C was estimated around 23%.
16
5. Although the oil recovery in the second test was less, the amount of CO2
storage (13.37%) is higher than the corresponding value in the first test
(12.94%) mainly due to higher CO2 solubility in oil compare to water
Modelling
1. We have successfully simulated the dynamic process of swelling of an oil
droplet separated from a CO2 source (carbonated water) by a water barrier as
well as when it is in direct contact with CW.
2. Although the DCO2-w used in this study is higher than DCO2-o but the swelling
time for the second scenario is significantly longer than that in the first
scenario highlighting the major negative impact of water barrier on CO2
diffusion from CW to oil.
3. The modelling results, similarly to the experimental results, show that the
initial swelling rate is high but later it slows down, mainly due to reduction of
driving force by time.
NOMENCLATURE
2COC = CO2 concentration [mol m-3
]
OCOC −2 = CO2 concentration in the oil phase [mol m-3
]
WCOC −2 = CO2 concentration in the water phase [mol m-3
]
2COD = Diffusion coefficient of CO2 in oil or water [m2
s-1
]
owCOK /2− = water/oil-CO2 partition coefficient [-]
Lo= Oil thickness [m]
Lw= The shielding water thickness separating oil and CW [m]
2COMw = CO2 molecular weight [kg mol-1
]
So= saturation of oil [%]
Sw= saturation of water [%]
t = time [s]
)(tx = length [m]
2COρ = CO2 density [kg m-3
]
ACKNOWLEDGEMENTS
The Carbonated Water Injection (CWI) project in the Institute of Petroleum
Engineering at Heriot-Watt University is supported equally by: Total Exploration and
Production UK, StatoilHydro, Dong Energy and the UK BERR (former DTI) which is
17
gratefully acknowledged. The authors wish to thank the COMSOL support team for
helping us with their mathematical package.
REFERENCES
Barrufet, M. A., Said El-Sayed K., Tantawy S. M., Gustavo A. Iglesias-Silva, ‘’
Liquid Viscosities of Carbon Dioxide + Hydrocarbons from 310 K to 403 K’’ Journal
of Chemical and Engineering Data, Vol. 41, No. 3, 1996.
Baviere, M. ‘’Basic Concepts in Enhanced Oil Recovery Processes’’ Elsevier Applied
Science, 1991
Bijeljic B. R., Muggeridge A. H., Blunt M. J.’’ Effect of Composition on
Waterblocking for Multicomponent Gas floods’’ SPE 77697, SPE annual Technical
Conference and Exhibition held in San Antonio, Texas, 29 Sep-2Oct 2002.
Campbell B. T., Orr, Jr F. M. ‘’Flow Visualization for CO2/Crude-Oil
Displacements’’ SPE 11958, Oct 1985.
Do H.D., Pinczewski W.V. ‘’ diffusion controlled swelling of reservoir oil by indirect
contact with injection gas’’ Chemical engineering science Vol.48, No18, PP. 3243-
3252, 1993.
Dodds, W. S. Stutzman, L. F. and Sollami, B. J. ’’Carbon Dioxide Solubility in
Water, ’’industrial and engineering chemistry vol. 1, no. 1, 1956.
Grogan A.T., Pinczewski W.V.,’’ The Role of Molecular Diffusion Processes in
Tertiary C02 Flooding’’ JPT May 1987 and SPE 12706.
Holm, L. W. and Josendal, V. A.’’ Mechanisms of Oil Displacement By Carbon
Dioxide’’ SPE 4736, Dec 1974.
IEA Energy Technology Essentials http://www.iea.org/textbase/techno/essentials.htm
IPCC, 2005: IPCC Special Report on Carbon Dioxide Capture and Storage. Prepared
by Working Group III of the Intergovernmental Panel on Climate Change [Metz, B.,
O. Davidson, H. C. de Coninck, M. Loos, and L. A. Meyer (eds.)]. Cambridge
University Press, Cambridge, United Kingdom and New York, NY, USA, 442 pp.
Geoscience Issues:’’ A technological pathway for combating climate change, CO2
capture and storage in the subsurface’’.
McManamey, W.J. and Woolen, J.M.: ‘’The diffusivity of carbon Dioxide in organic
Liquids at 25°C and 50°C,’’ AIChE J. (May 1973) 19, No. 3, 667-69.
Sohrabi, M., Henderson, G.D., Tehrani, D.H. and Danesh, A.: ’’ Visualisation of Oil
Recovery by Water Alternating Gas (WAG) Injection Using High Pressure
Micromodels - Water-Wet System’’ SPE Annual Technical Conference and
Exhibition held in Dallas, Texas, 1–4 October 2000, SPE paper 63000.
18
Sohrabi, M, Danesh, A., Tehrani, D. H and Jamiolahmady, M.’’ Microscopic
Mechanisms of Oil Recovery By Near-Miscible Gas Injection’’ Transp Porous Med.
2007.
Sohrabi M., Danesh A., and Jamiolahmady M.,” Visualisation of Residual Oil
Recovery by Near-Miscible Gas and SWAG Injection Using High-Pressure
Micromodels”, Transport in Porous Media, January 2008.
Miller, J. S. and Jones, R. A. ‘’A laboratory study to determine physical
characteristics of heavy oil after CO2 saturation’’ SPE/DOE 9789 April 1981.
Semere Solomon: ’’The Bellona Foundation- Fact sheet: CO2 Storage’’ Bellona
Report may 2007. http://www.bellona.org/factsheets/1191921304.33
UK Production Data Release, Department for Business, Enterprise and Regulatory
Reform Energy Group, released data 01April 2008.
https://www.og.dti.gov.uk/pprs/pprsindex.htm
Table 1: Dimensional Characteristic of the Micromodel.
Height
/cm
Width
/cm
MM PV
/cm3
Ave. Pore depth
/ mµ
Pore Dia. Range
/ mµ
4 0.7 0.01 50 30-500
Table 2: Oil saturation within micromodel at different times for the first test.
Time
(hours)
Oil Saturation
(%)
0.00 66.5
0.11 61.6
0.33 48.4
0.68 49.2
3.00 50.6
19.28 54.4
41.25 56.9
55.55 56
79.15 54
Table 3: Oil saturation within micromodel at different times for the second test.
Time
(hours)
Oil Saturation
(%)
0.00 72.3
0.50 44.8
4.70 47.1
6.28 49.6
23.13 57.1
70.38 58.6
19
100.23 57.9
Table 4: Volume of the oil droplet in Figure 12 at different times.
Time
(hours)
Pixel No of
oil droplet
0.00 10846
1.53 11561
3.50 12022
5.43 12176
21.97 12928
26.40 12963
29.98 13053
45.85 13176
72.27 13197
93.17 13271
Table 5: Estimated CO2 storage in the micromodel for both tests.
First test (CWI as secondary
recovery method)
Second test (CWI as
tertiary recovery method)
Oil Saturation (%) 54 57.9
Water Saturation (%) 46 42.1
CO2 percentage in the oil
phase (%) (So*18%)
9.72 10.42
CO2 percentage in the
water phase (%) (Sw*7%)
3.22 2.95
Percentage of CO2 in the
micomodel (%)
12.94 13.37
20
P
u
m
p
3
CW
P
u
m
p
2
P
u
m
p
1
P
water
water
P
P
water/oil
l fill
Gas
P
P
P
P
P
Figure 1: Schematic Diagram of the Micromodel Rig
Figure 2: Schematic Diagram of the Optical System (Mehran Sohrabi 2000).
Windows
Micromodel
oven
Fluid storage
oven
Pumps
21
Figure 3: The etched plate and the cover plate are brought together to form an
enclosed pore space through which fluids can be displaced (Mehran Sohrabi 2000).
Figure 4: The whole micromodel including two triangle sections fully saturated with
degassed blue dyed water.
22
Figure 5: A magnified section of micromodel fully saturated with degassed blue dyed
water.
Figure 6: Initial oil saturation (n-Decane) in the same selected frame shown in the
Figure 5.
Water
Grain, glass
Oil
23
Figure 7: Fluid distribution in the same selected frame shown in the Figure 5, after
0.33 hrs of CWI, secondary recovery method.
Figure 8: Fluid distribution in the same selected frame shown in the Figure 5, after 79
hrs of CWI, secondary recovery method.
Snapped Oil ganglion
Bypassed oil droplet
24
A: Soi B: CWI after 0.68 hrs
C: CWI after 19.28 hrs D: CWI after 79.15 hr
Figure 9: Fluid distribution in a selected frame of the micromodel showing oil
recovery process during CWI as a secondary recovery method.
CW
25
48
50
52
54
56
58
60
62
64
66
68
0 20 40 60 80
Time (h)
So(%)
Figure 10: Oil saturation versus time during CWI as a secondary recovery method.
43
48
53
58
63
68
73
78
0 20 40 60 80 100
Time (h)
So(%)
CWI WI produced oil
Figure 11: Oil saturation versus time during CWI as a tertiary recovery method.
Main Swelling Second displacement
1st
displacement
2.3%
26
Figure 12: Swelling of an oil droplet due to diffusion of CO2 from CW into oil phase
(n-Decane).
Oil Swelling
10000
10500
11000
11500
12000
12500
13000
13500
0 20 40 60 80 100
Time (h)
PixelNo.ofoilphase
Figure 13: Volume of the oil droplet in Figure 12 versus time.
22.4 % Swelling
A: t=0 B: t=5.43 hrs C: t=93.17 hrs
0.477 mm 0.135 mm
27
(A)
(B)
Figure 14: An oil drop trapped in a dead-end pore surrounded by (A) flowing
carbonated water (CW), direct contact (B) water and CW flowing next to the water
phase, indirect contact.
(A)
(B)
Figure 15: CO2 concentration profiles during CWI for the (A) first scenario (Figure
14.A), direct contact, and (B) second scenario (Figure 14.B), indirect contact.
Water
Oil
CW
Flow
Oil
CW
Flow
CWWOil
X1
CO2
X2
CWOil
CO2
X1
28
(A)
(B)
Figure 16: CO2 concentration profile in the A) oil phase B) water phase after 3000
sec. Oil swells due to diffusion of CO2 from carbonated water into oil through water.
Initial oil length Initial water length
Oil length during swelling Length of water after
swelling of oil
Initial position of oil/carbonated
water interface
Movement of oil/water interface
due to swelling of oil phase
29
1st Scenario
0.0E+00
5.0E-05
1.0E-04
1.5E-04
2.0E-04
2.5E-04
3.0E-04
3.5E-04
4.0E-04
0 100 200 300 400 500 600 700 800
Time (sec)
Displacement(m)
Swelling
Figure 17: The oil/CW interface displacement for swelling of an oil droplet versus
time in the first scenario, Figure 15.A, direct contact of oil and CW
2nd Scenario
0.E+00
5.E-05
1.E-04
2.E-04
2.E-04
3.E-04
3.E-04
4.E-04
4.E-04
0 1000 2000 3000 4000 5000 6000 7000
Time (sec)
Displacementofoil/waterinterface
(m)
Swelling
Figure 18: The oil/W interface displacement for swelling of an oil droplet versus time
in the second scenario, Figure 15.B, indirect contact of oil and CW,
30
0.E+00
1.E-04
2.E-04
3.E-04
4.E-04
5.E-04
6.E-04
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000
Time (sec)
Displacement(m)
1st scenario, Lo= 0.7mm
2nd Scenario Lo= 0.7, Lw=0.4mm
Lo=1.1 mm
Figure 19: swelling of oil in first and second scenario and the impact of water barrier
on reduction of swelling rate.

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Enhanced oil recovery_and_co2_storage_by_carbonated water heriot watt

  • 1. See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/208047575 Enhanced Oil Recovery and CO2 Storage by Carbonated Water Injection Conference Paper · December 2009 DOI: 10.2523/14070-ABSTRACT CITATIONS 0 READS 406 5 authors, including: Mehran Sohrabi Heriot-Watt University 143 PUBLICATIONS 670 CITATIONS SEE PROFILE Masoud Riazi Shiraz University 116 PUBLICATIONS 187 CITATIONS SEE PROFILE Mahmoud Jamiolahmady Heriot-Watt University 100 PUBLICATIONS 496 CITATIONS SEE PROFILE Chontal Brown Heriot-Watt University 11 PUBLICATIONS 39 CITATIONS SEE PROFILE All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. Available from: Mehran Sohrabi Retrieved on: 24 August 2016
  • 2. 1 CARBONATED WATER INJECTION FOR OIL RECOVERY AND CO2 STORAGE M. Sohrabi, M. Riazi, M. Jamiolahmady, S. Ireland and C. Brown Institute of Petroleum Engineering, Heriot-Watt University, Edinburgh, Scotland Abstract CO2 injection is increasingly considered as having potential applications as a possible enhanced oil recovery (EOR) process for oil reservoirs. Storage potential of these reservoirs to store CO2 for a long period of time also provides an opportunity to develop sustainable solutions in response to the challenge of continued use of fossil fuels, climate-change and compliance with national and international commitments to reduce CO2 emissions. Poor sweep efficiency has been a problem in CO2-floods of many oil reservoirs and hence, injection strategies like WAG (water-alternating-gas) injection have been proposed and applied as a way to mitigate the problem. An alternative injection strategy is carbonated water injection (CWI). This paper describes some of the results of an ongoing research project to investigate both experimentally and theoretically the process of CWI. The results of our flow visualization experiments using high-pressure transparent micromodels, reveal the underlying physical processes and the pore-scale mechanisms of fluid-fluid and fluid- solid interactions during CWI. The results show that CWI, compared to unadulterated water injection, improves oil recovery as both secondary (before water flooding) and tertiary (after water flooding) recovery methods. The improvement is, however, higher when carbonated water is injected in the secondary recovery mode. The main mechanisms of oil recovery by CWI are swelling and coalescence of the isolated oil ganglia and the resultant fluid redistribution as a result of CO2 diffusion. A favourable increase in water viscosity and decrease in oil viscosity also contribute to this promising enhanced oil recovery method. A one-dimensional mathematical model is also presented which honours the experimental observations and simulates the dynamic process of oil swelling due to CO2 dissolution with and without water layers separating the oil from the source of CO2.
  • 3. 2 Introduction Many of the existing giant oil fields discovered to date are approaching the end of their water flooding lives and are in tail end production. EOR (enhanced oil recovery) processes are therefore needed to maximise oil recovery from these reservoirs and to meet the rising global energy demand. CO2 injection is increasingly considered as having potential applications as a possible EOR process for these reservoirs. The pore space available in these reservoirs can also store a significant amount of CO2 as part of a CCS (carbon capture and storage) programme for a long period of time. Storage of CO2 in geological reservoirs is likely to provide the first large-scale opportunity for concentrated storage of CO2. The method involves injecting carbon dioxide directly into underground geological formations. Declining oil fields, saline aquifers, and unminable coal seams are being considered as possible storage sites. Based on international energy agency’s report (December 2006), global geological storage potential equals at least equivalent of some 80 years current level of CO2 emissions (2000 GtCO2); Saline formations 400-10 000 Gt; depleted oil/gas fields 900 Gt; unmineable coal seams 30 Gt. Although hydrocarbon reservoirs might have lower capacity than aquifers for geological CO2 storage, they are most likely to be implemented first because of a number of reasons including additional economic benefit through EOR, existence of abundant characterisation data and utilising at least part of the existing infrastructure. Studies show at depths below about 800–1000 m, CO2 has a liquid-like density that provides the potential for underground storage in the pore spaces of sedimentary rocks. CO2 can be trapped underground by various storage mechanisms, such as (Semere Solomon 2007): 1. Trapping below an impermeable, confining layer or caprock (Structural and stratigraphic trapping or physical trapping) 2. The CO2 is retained or adhered on the surfaces of the pore spaces of the storage formation so that it becomes contained as immobile phase (Residual CO2 trapping)
  • 4. 3 3. Dissolved in the fluids contained in the pore spaces of the formation (Solubility or dissolution trapping), and 4. Additionally, it may be trapped by reacting with the minerals in the storage formation and caprock to produce carbonate minerals (Mineral trapping). CO2 becomes less mobile over time as a result of multiple trapping mechanisms, further lowering the prospect of leakage, which builds the confidence in geological security of carbon dioxide storage. CO2 has been injected into oil fields for the purpose of EOR (enhanced oil recovery) for more than 30 years, to increase oil recovery. CO2 injection for EOR and storage is attractive because the additional oil recovery can offset at least part of the CO2 storage costs. Further benefits might include: • Low-cost exploration, because the geology is already well known • Proof that the reservoirs have been capable of retaining liquid and gases over a very long period of time. • Production and often injection equipment already installed on site, which could be used to transfer and inject CO2. • Regulations already in existence. • All oil fields have a geological barrier preventing upward migration of oil. It is supposed that these geological barriers will also be sufficient as long-term barrier to contain the injected CO2 Many of the reservoirs today are produced efficiently with water injection and have been for some time. However, after water flooding, quite a large volume of oil is still left in the reservoir. There is thus a good scope for CO2 storage due to high CO2 solubility in the oil phase. CO2 injection to enhance oil recovery is well documented. CO2 injection into an oil reservoir increases oil recovery by primarily altering the physical properties of the oil phase i.e. swelling of the oil, reduction of oil viscosity, reduction of interfacial tension to water and possible vaporization and extraction of intermediate components. It has been reported that poor sweep efficiency (due to a high CO2 mobility) has been a
  • 5. 4 problem in CO2-floods of many oil reservoirs (Patel, P.D. 1987). Therefore, direct injection of CO2 (both continuous flooding and WAG) might not result in economically significant amount of additional oil recovery. In terms of CO2 storage potential, poor sweep efficiency also implies lower storage capacity. An alternative injection strategy could be carbonated water (CO2-enriched water) injection. Carbonated water might have advantages over direct CO2 injection in terms of better sweep efficiency. In water flooded reservoirs, CWI can alleviate the adverse effect of high water saturation and the water shielding effects as a result of mixing with the resident water. This might in turn improve increase the rate of CO2 diffusion and the subsequent oil swelling. It has been shown that in direct CO2 injection, due to low sweep efficiency and gravity segregation, the time scale of diffusion can be several years (Semere Solomon 2007). In terms of CO2 storage, as in CWI CO2 is dissolved in water (and later oil) rather than as a free phase, CWI would provide a safe method of storage. In this study, to understand the dominant mechanisms in carbonated water injection (CWI) a series of two phase fluid flow experiments were performed using high- pressure two dimensional glass micromodel. CWI as both secondary and tertiary oil recovery processes was studied. The recorded video clips of these tests give quantitative and qualitative information which are being used in our modeling work. A mathematical model has been developed to simulate the CWI process at the pore level. The dynamic process of swelling of an oil droplet separated from a CO2 source (carbonated water) by a water layers as well as when it is in direct contact with CO2 source was studied. One of the advantages of this model could be the estimation of the effective diffusion coefficient in porous media, which can be considered as a matching parameter between the results of the model and the experiments under the same prevailing conditions. Partition coefficient is another important pertinent parameter that can be determined in similar manner.
  • 6. 5 EXPERIMENTAL WORK Experimental Facilities A modified high-pressure micromodel rig is being used for performing carbonated water injection tests. The rig can operate at pressures as high as 5000 psia and at a temperature of 100 °F. High-pressure micromodel rigs have been extensively used in our research group and the details of the rig have been reported in our previous publications (Sohrabi et al, 2000, Sohrabi et al, 2007, Sohrabi et al, 2008). The micromodel rig is shown schematically in Figure 1. The rig consists of the following major components. Fluid Storage Oven A temperature-controlled air oven is used to store the injection fluids, lines and connections at constant temperature. In this part of the rig there are six storage cells, five of which are for injection of CO2 in temperature equilibrium with water (gas), carbonated water, plain water, oil and overburden fluid (glycerol) and one is used to retract the fluids from bypass and micromodel outlet. Micromodel Oven Another temperature-controlled air oven is used to maintain the overburden chamber, which houses the micromodel and maintains it at constant temperature. This chamber can be turned to allow performing flow tests at any desired degree of orientation, including vertical and horizontal. This is particularly important for inclusion or exclusion of the gravity effects. Low Rate Pumps To inject fluid into the system (micromodel and overburden chamber) two low-rate pumps are being used. A third pump is used to pull back the fluids and collect them into the retract cell. The pumps are capable of working at pressures up to 5000 psia with a flow rate in the range 0.0001 to 14 cm3 /hr. Optical System A camera mount and positioning system is used which allows a camera and its magnifying lens to be positioned at any part of the micromodel. It is also used to scan
  • 7. 6 the micromodel for video and still image recording. Figure 2 shows the optical system of the rig. Glass Micromodels A two-dimensional pore structure is etched onto the surface of a glass plate, which is otherwise completely flat. A second glass plate is then placed over the first, covering the etched pattern and thus creating an enclosed pore space. This second plate, the cover plate, has an inlet hole and an outlet hole drilled at either end, allowing fluids to be displaced through the network of pores (Figure 3). Because the structure is only one pore deep, and the containing solid walls are all glass, it is possible to observe the fluids as they flow along the pore channels and interact with each other. It is also possible to observe how the geometry of the pore network affects the patterns of flow and trapping. At this stage of the project a water-wet micromodel with a geometric pore pattern has been used. The micromodel dimensional characteristics are shown in Table 1. Test fluids The fluid system used in the experiments consisted of distilled water, n-Decane and carbon dioxide. Carbonated water was prepared by mixing degassed distilled water with CO2 in a rocking cell at 38 °C and 2000 psia. The content of the rocking cell was mixed for a long period of time while its pressure was monitored. Obtaining constant pressure during mixing is a good indication that the fluids inside the cell are at equilibrium and the pressure can be considered the equilibrium pressure. Finally, the equilibrium phases were transferred into their storage vessels and maintained at the test pressure and temperature. To distinguish between oil and the aqueous phase, the colour of the water was changed to blue using a water-soluble dye. In two of the preliminary tests, the colour of oil (n-Decane) was changed to red using an oil soluble red dye but some evidence of wettability alteration, away from strongly water-wet, was observed so it was decided to eliminate the red dye in the oil phase. The dyed fluids were filtered using fine filter papers to remove any un-dissolved dye particles.
  • 8. 7 Test procedure In the tests reported here, the micromodel orientation was horizontally to minimise the gravity effect. After cleaning and pressurising the system, the (water-wet) micromodel was fully saturated with clear distilled water and subsequently displaced with blue dyed water, Figure 4. Figure 5 shows a part of micromodel 100% saturated with degassed blue dyed water. Similar images, taken from the middle of micromodel and in higher magnification, were prepared to show the details of changes of fluid distribution during the tests. The whole micromodel is made up ten of these frames. It should be noted that the entire micromodel was used to estimate the swelling, oil saturation and amount of oil production during the experiments. To simulate primary drainage of water, initial migration of oil into the water bearing porous media, the oil phase was injected from one end of the horizontal micromodel. The oil injection was carried out at a rate of 2 cm3 h-1 . Figure 6 reveals the irreducible (connate) water saturation (Swi), established after oil injection for the same section of micromodel shown in Figure 5. This image shows the relative position of the wetting phase, blue water, and non-wetting phase, oil, in the micromodel. The shape of the water-oil interface and the fact that some of the smaller and dead-end pores are filled with water phase are good indications of water-wet conditions. After this initial oil injection stage (establishment of ‘irreducible’ water), two experiments were carried out to study carbonated water injection process as both secondary and tertiary oil recovery mechanisms. In the first test, CW (carbonated water), as a secondary recovery method, was injected at a low rate of 0.01 cm3 h-1 into the micromodel saturated with oil at Swi. Figure 7 shows the fluid distribution (in the same section of the micromodel shown in Figure 5) after breakthrough (BT) of CW (injected as a secondary recovery mechanism). As this image demonstrates, the oil phase has been disconnected after CWI and the remaining oil is in the form of isolated and fragmented oil pieces. The mechanisms observed for oil recovery and displacement during CWI were both film flow and piston type displacement.
  • 9. 8 Figure 8 shows fluid distribution within the selected section of the micromodel after 79 hrs of CWI. Comparison of this image with Figure 7 shows both swelling and reconnection of some oil ganglia due to this swelling as well as oil displacement in this frame of the micromodel. In Figure 8, the red rectangle demonstrates an example of oil reconnection due to swelling during CWI. Figure 9 shows some magnified images that were taken from another section of the micromodel in this experiment. These images show fluid distribution during different stages of CWI (as a secondary oil recovery method). Figure 9A shows the initial oil saturation (oil is shown in bright colour) after the irreducible (connate) water saturation (Swi) (blue) was established. Figure 9B shows the fluid distribution after the breakthrough (BT) of CWI. The main production of oil happened at this stage and the un-recovered oil remained trapped. Figure 9C illustrates oil swelling after about 19 hrs of CWI and the resultant coalescence of some of the oil blobs enriched with CO2. CW has been displaced by the swollen oil in several locations (highlighted by red rectangles in Figure 9B and 9C). Figure 9D shows a second oil displacement and reduction of Sor, i.e., oil production, (highlighted by pink rectangles in the frames C and D) due to the coalescence of the trapped oil blobs and the resultant change in the fluid distribution. In the second test, CWI as a tertiary recovery method, after the breakthrough of the injected water, no more oil production and changes in fluid distribution took place. This confirms that the change in fluid distribution, after BT of CWI, as mentioned above, is due to the diffusion of CO2 from CW into the oil phase. The oil saturation of the porous section of the micromodel was estimated using the, Adobe Photoshop CS image analysis software. In this method we estimated fluid saturation based on the number of pixels representing each phase. The depth of the pores in the micromodel was assumed equal. Figure 10 and Table 2 show oil saturation in the micromodel versus time during CWI. The data of this Figure can be divided into three parts: 1) main oil displacement after BT of CWI 2) oil swelling after trapping of the oil phase during the main displacement, 3) coalescence of the isolated oil ganglia as a result of swelling and the resultant oil production. It should be noted that the micromodel is a two dimensional
  • 10. 9 (2D) porous medium and one would expect more oil connectivity and more oil displacement in a more realistic 3-D realistic porous medium. In the second test, CWI as a tertiary oil recovery method, water was first injected at the same injection rate of 0.01 cm3 h-1 into the oil saturated micromodel at Swi till no further oil production and change in fluid distribution observed. Then CWI was performed with the same rate as the preceding water flood. Figure 11 shows oil saturation in the micromodel versus time for this test. Table 3 gives the same data in Tabular form. The green line in Figure 11 shows WI stage. The main oil recovery took place as a result of WI and in a relatively short period of time compared to the rest of this experiment. The blue line indicates the second stage of this test that corresponds to the main swelling as a result of CWI. At the end of this stage some oil (estimated around 2.3 %) was produced, which is shown as a drop in oil saturation at the end of the curve of Figure 11. A comparison of these two tests revealed that although CWI recovered extra oil after BT both as secondary and tertiary recovery methods, the extra oil was recovered faster and in larger quantity in the secondary rather than tertiary mode. CWI was continued in both these tests till no further notable fluid distribution change was observed in the micromodel. The main mechanisms of oil recovery by CWI are improved sweep efficiency due to swelling and coalescence of the isolated oil ganglia and the resultant fluid redistribution. It is also expected that a favourable increase in water viscosity and decrease in oil viscosity would improve the CWI performance. It is not possible to show the swelling curve of the whole micromodel as oil displacement and production continues when swelling is in progress. Hence, we focused on an oil drop trapped in lowest part of the micromodel. CW trapped this oil after entering the porous section of the micromodel. Several highly magnified images were taken during CWI. Figure 12 shows this oil drop at three different time steps, t=0, 5.43 and 93.17 hrs, respectively. The approximate dimensions of this oil drop are 477 mµ * 135 mµ as shown in Figure 12. Comparison of these images indicates some swelling during CWI. It was assumed that the depth of this section of the micromode
  • 11. 10 is uniform. The numbers of areal oil phase pixels are given in Table 4 and plotted in Figure 13. The amount of swelling based on these data was estimated to be around 22.4%. Based on equilibrium condition of these two tests the stored CO2 in the residual oil saturation is about 18 Vol% (23% of dead oil volume) and in water phase around 7 Vol%, Table 5 compares the percentage of CO2 in the micromodel after CWI in both tests. This data reveals that although the oil recovery in the second test is less, the amount of CO2 storage (13.37%) is higher than the corresponding value in the first test (12.94%) mainly due to higher CO2 solubility in oil compare to water. This amount of storage in real scale is huge and considerable: Based on the recent UK production Data Release (1 April 2008) the total injected water in all the oil fields in the UK, offshore and land oil fields, in the last year, 2007, was about 7.1E+7 tons. A rough estimate shows that if carbonated water had been used instead of water, assuming the same level of CO2 solubility observed in our experiments, we would have had about 4.05E+6 tones of CO2 storage. MATHEMATICAL MODELING One of the most important mechanisms that could lead to increased oil recovery in CWI process is swelling, coalescence and remobilisation of the isolated oil ganglia as a result of the diffusion of CO2 from CW into the oil. The impact of CO2 diffusion in direct CO2 injection, as a tertiary oil recovery mechanism, has been investigated by several researchers (Grogan, et al. 1987, 1988- Campell, et al. 1985- Do 1993- Bijeljic, et al. 2002). In all these studies the presence of a water layer separating the oil and CO2 phases has been shown to have a significant negative impact on the CO2 diffusion process. However, the impact of pertinent parameters on CWI process is yet unknown. Figures 14.A and 14.B show a schematic diagram of an isolated oil droplet in a dead end pore for two different scenarios. In the first scenario, oil is surrounded by flowing CW (CO2 source). In the second case water (from previous water flood) is separating oil from injected CO2 source (CW).
  • 12. 11 Figures 15.A and 15.B are 1-D demonstrations of CO2 concentration in water, oil and CW for the above mentioned two scenarios, respectively. We have assumed that CO2 concentration in the flowing CW is constant. The CO2 concentration in the oil phase at the interface is more than that in the water (or carbonated water) phase due to its increased solubility. This value can be estimated assuming CO2 concentrations in the two phases are at equilibrium at the interface using partition coefficient as follows: WCOowCOOCO CKC −−− = 2/22 , (1) where KCO2-w/o is the water/oil-CO2 partition coefficient, which is defined as the ratio of the equilibrium concentrations of a solute (CCO2 in this case) in two largely immiscible solvents. CCO2-O is the CO2 concentration in the oil phase, CCO2-W is the CO2 concentration in the water phase. The following further assumptions were made: 1. The effect of capillary force on the interface is neglected, i.e., the interface is flat. 2. CO2 diffusion coefficients in oil and water are constant during the diffusion process. 3. The fluid system is an ideal mixture, that is, the total volume is the summation of volumes of oil and CO2. 4. The partial density of CO2 is known and constant. 5. The change in the volume of water barrier due to CO2 diffusion has been neglected, in the second scenario. 6. Oil, water and CW are at equilibrium conditions at the CW/water interface and the water/oil interface. 7. In the model (Figure 15), oil/water boundary in the second scenario and oil/CW boundary in the first scenario moves to the right due to the swelling of oil only. The resultant displaced water will be flowing with no additional resistance with the main flow stream.
  • 13. 12 Governing Equations Second Fick’s law states that CO2 concentration in oil and water is a function of time (t) and position (x, y and z). Equation 2 expresses this relationship in our 1D (one dimensional) system: 2 2 2 22 ),(),( x xtCD t xtC COCOCO ∂ ∂ = ∂ ∂ (2) The oil volume increases because of increased CO2 concentration due to CO2 diffusion. A combination of mass balance and the assumption of an ideal mixture, gives Equation 3, which determines the speed of interface movement: )](1[ ] )( )([ )( 2 2 2 2 2 2 tC Mw t tC tx Mw dt tdx CO CO CO CO CO CO ρ ρ − ∂ ∂ = , (3) where )(2 tCCO and t tCCO ∂ ∂ )(2 are the volumetric average of CO2 concentration and its gradient with respect to time, at any time, and are calculated using Equations 4 and 5, respectively. )( ),( )( )( 0 2 2 tx dxxtC tC tx CO CO ∫ = , (4) )( ),( )( )( 0 2 2 tx dx t xtC t tC tx CO CO ∫ ∂ ∂ = ∂ ∂ . (5) Initial and Boundary Conditions Equations 2 to 5 describe the dynamics of the process. In the case of first scenario, direct contact of oil and carbonated water, two initial conditions and two boundary conditions are required, to solve equations 2 to 5, as follows: Initial CO2 concentration in oil is zero, 0)0(,2 ==tC OCO ,
  • 14. 13 The initial position of interface (xi) is known. At oil/water interface, right hand side boundary of oil domain (Figure 15.A), concentration of CO2 in the water phase is known and that of the oil phase is calculated using Equation 1. There is no diffusion at the left hand side boundary. To solve this set of equations, for the second scenario, three initial conditions and four boundary conditions, two for each (oil & water) sub-domain, are required. The initial conditions are: Initial CO2 concentration in oil is zero, 0)0(,2 ==tC OCO , Initial CO2 concentration in water is zero, 0)0(,2 ==tC wCO , The initial position of interface (xi) is known. At oil/water interface, the right hand side boundary of the oil domain (Figure 15B), CO2 diffuses from a high CO2 concentration calculated using Equation 1. The CO2 concentration on the left hand side of water domain at this interface is updated from the solution of Equation 2. The left hand side boundary of oil domain is a no flow boundary without any diffusion. At the water/CW interface, right hand side of water domain (Figure 15.B), CO2 diffuses from a high CO2 concentration, which is equal to the CO2 concentration in CW. Solution Technique The partial (Equation 2 for both oil and water) and ordinary (Equation 3) differential equations together with two auxiliary equations (Equations 4 and 5) and the associated boundary and initial conditions described above were solved using Comsol multi-physics, which is based on the finite element method. In this study, we initially verified the integrity of the model by simulating the experiment conducted by Campbell, et al. (1985). In Campbell’s experiment Soltrol130, which is a mineral oil, was used as the oil phase, so the result of this section of study is based on Soltrol 130 for which all the required data are available from the literature (Campbell, et al., 1985 and Grogan and Pinczewski, 1987). The modelling of explained our experimental results are underway.
  • 15. 14 The process under this study and the equation described above are for a 1-D system but here, to show the result more clearly, we used a 2-D sub-domain. Considering the symmetry in y-direction, this will not affect the results and conclusions of the study. Figure 16A shows an example of CO2 concentration in the oil phase in the developed model, second scenario, after 3000 sec. This image also shows the amount of oil/water interface movement after this time. The corresponding CO2 concentration in the water phase has been shown in Figure 16B. Comparison of these two Figures highlights that the model correctly assign a higher CO2 concentration in oil than that in water at the oil/water interface which are related to one another by Equation 1. Figure 17 shows the displacement of the oil/CW interface versus time for the swelling process of the first scenario, direct contact of oil and CO2 source (CW), Figure 15A. Figure 18 shows the displacement of the oil/water interface versus time for the swelling process of the second scenario, indirect contact of oil and CO2 source (CW), Figure 15B. These two Figures, similarly to the experimental results, shown in Figure 9, demonstrate the initial swelling rate is high but later it slows down. There are two groups of parameters that affect CO2 diffusion from CW into the oil phase. The first group includes; contact area between oil and water and CO2 diffusion coefficient. The increase in these parameters increases the swelling rate. Swelling increases the contact area hence, increasing the diffusion rate. The Oil viscosity decreases by increasing CO2 concentration in oil phase, (Holm, L. W. (1974), Miller, J. S. (1981), Barrufet M. A., et al. (1996), Simon, R (1964)). MacManamey and Woollen, 1973, based on some experimental data, presented an empirical correlation to express the increase in CO2 diffusion coefficient with a decrease in oil viscosity. The second group contains the difference between concentration of CO2 in the oil and water phases (driving force) and the length of oil phase. The former decreases whilst the latter increases with time, both reduce the mass transfer rate and hence, swelling rate. The trend of Figures 17, 18 and 9 prove that the parameters in the second group win this competition in the direction of reducing the swelling rate. There is another important point that should be considered based on comparison of the result of the first and second scenario: Although in this case DCO2-w is higher than
  • 16. 15 DCO2-o but the swelling time for the second scenario (2500 seconds for the base case with 0.4 mm water barrier thickness) was not only significantly longer than that in the first scenario (360 seconds for the same base case with 0.7 mm oil thickness) but also longer than that corresponding to oil thickness of 1.1 mm, i.e., replacing water with oil, as well (860 sec) highlighting the major negative impact of the water layer on CO2 diffusion from CW to oil. It should be noted that the swelling time which were reported above is based on the required time for the interface to reach to 95% of its equilibrium position; the remaining 5% interface movement required significantly longer time due to the reduced diffusion gradient, i.e., driving force. Hence, the 95% of the final equilibrium interface position is considered as equilibrium time. Figure 19 shows the swelling curve of these three systems. Comparison of the curves indicates that water barrier thickness is an important parameter in decreasing the CO2 diffusion rate from carbonated water into oil. Based on these data the swelling time of the second scenario is the longest time, although the amount of swelling of the third case, oil with thickness of 1.1 mm is higher and one expects more time to reach equilibrium conditions. CONCLUSIONS Experimental work: 1. CW increases oil recovery both as a secondary and tertiary recovery method. However this increase is higher in the secondary flood scenario. 2. The fluid flow displacement mechanism for both WI and CWI was both piston-wise and film flow in different places of micromodel. 3. The main mechanisms of oil recovery by CWI are improved sweep efficiency due to swelling and coalescence of the isolated oil ganglia and the resultant fluid redistribution. A favourable increase in water viscosity and decrease in oil viscosity should also favour higher oil recovery. 4. The amount of oil swelling for decane as a result of diffusion of CO2 from CW at 2000 psia and 38 °C was estimated around 23%.
  • 17. 16 5. Although the oil recovery in the second test was less, the amount of CO2 storage (13.37%) is higher than the corresponding value in the first test (12.94%) mainly due to higher CO2 solubility in oil compare to water Modelling 1. We have successfully simulated the dynamic process of swelling of an oil droplet separated from a CO2 source (carbonated water) by a water barrier as well as when it is in direct contact with CW. 2. Although the DCO2-w used in this study is higher than DCO2-o but the swelling time for the second scenario is significantly longer than that in the first scenario highlighting the major negative impact of water barrier on CO2 diffusion from CW to oil. 3. The modelling results, similarly to the experimental results, show that the initial swelling rate is high but later it slows down, mainly due to reduction of driving force by time. NOMENCLATURE 2COC = CO2 concentration [mol m-3 ] OCOC −2 = CO2 concentration in the oil phase [mol m-3 ] WCOC −2 = CO2 concentration in the water phase [mol m-3 ] 2COD = Diffusion coefficient of CO2 in oil or water [m2 s-1 ] owCOK /2− = water/oil-CO2 partition coefficient [-] Lo= Oil thickness [m] Lw= The shielding water thickness separating oil and CW [m] 2COMw = CO2 molecular weight [kg mol-1 ] So= saturation of oil [%] Sw= saturation of water [%] t = time [s] )(tx = length [m] 2COρ = CO2 density [kg m-3 ] ACKNOWLEDGEMENTS The Carbonated Water Injection (CWI) project in the Institute of Petroleum Engineering at Heriot-Watt University is supported equally by: Total Exploration and Production UK, StatoilHydro, Dong Energy and the UK BERR (former DTI) which is
  • 18. 17 gratefully acknowledged. The authors wish to thank the COMSOL support team for helping us with their mathematical package. REFERENCES Barrufet, M. A., Said El-Sayed K., Tantawy S. M., Gustavo A. Iglesias-Silva, ‘’ Liquid Viscosities of Carbon Dioxide + Hydrocarbons from 310 K to 403 K’’ Journal of Chemical and Engineering Data, Vol. 41, No. 3, 1996. Baviere, M. ‘’Basic Concepts in Enhanced Oil Recovery Processes’’ Elsevier Applied Science, 1991 Bijeljic B. R., Muggeridge A. H., Blunt M. J.’’ Effect of Composition on Waterblocking for Multicomponent Gas floods’’ SPE 77697, SPE annual Technical Conference and Exhibition held in San Antonio, Texas, 29 Sep-2Oct 2002. Campbell B. T., Orr, Jr F. M. ‘’Flow Visualization for CO2/Crude-Oil Displacements’’ SPE 11958, Oct 1985. Do H.D., Pinczewski W.V. ‘’ diffusion controlled swelling of reservoir oil by indirect contact with injection gas’’ Chemical engineering science Vol.48, No18, PP. 3243- 3252, 1993. Dodds, W. S. Stutzman, L. F. and Sollami, B. J. ’’Carbon Dioxide Solubility in Water, ’’industrial and engineering chemistry vol. 1, no. 1, 1956. Grogan A.T., Pinczewski W.V.,’’ The Role of Molecular Diffusion Processes in Tertiary C02 Flooding’’ JPT May 1987 and SPE 12706. Holm, L. W. and Josendal, V. A.’’ Mechanisms of Oil Displacement By Carbon Dioxide’’ SPE 4736, Dec 1974. IEA Energy Technology Essentials http://www.iea.org/textbase/techno/essentials.htm IPCC, 2005: IPCC Special Report on Carbon Dioxide Capture and Storage. Prepared by Working Group III of the Intergovernmental Panel on Climate Change [Metz, B., O. Davidson, H. C. de Coninck, M. Loos, and L. A. Meyer (eds.)]. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, 442 pp. Geoscience Issues:’’ A technological pathway for combating climate change, CO2 capture and storage in the subsurface’’. McManamey, W.J. and Woolen, J.M.: ‘’The diffusivity of carbon Dioxide in organic Liquids at 25°C and 50°C,’’ AIChE J. (May 1973) 19, No. 3, 667-69. Sohrabi, M., Henderson, G.D., Tehrani, D.H. and Danesh, A.: ’’ Visualisation of Oil Recovery by Water Alternating Gas (WAG) Injection Using High Pressure Micromodels - Water-Wet System’’ SPE Annual Technical Conference and Exhibition held in Dallas, Texas, 1–4 October 2000, SPE paper 63000.
  • 19. 18 Sohrabi, M, Danesh, A., Tehrani, D. H and Jamiolahmady, M.’’ Microscopic Mechanisms of Oil Recovery By Near-Miscible Gas Injection’’ Transp Porous Med. 2007. Sohrabi M., Danesh A., and Jamiolahmady M.,” Visualisation of Residual Oil Recovery by Near-Miscible Gas and SWAG Injection Using High-Pressure Micromodels”, Transport in Porous Media, January 2008. Miller, J. S. and Jones, R. A. ‘’A laboratory study to determine physical characteristics of heavy oil after CO2 saturation’’ SPE/DOE 9789 April 1981. Semere Solomon: ’’The Bellona Foundation- Fact sheet: CO2 Storage’’ Bellona Report may 2007. http://www.bellona.org/factsheets/1191921304.33 UK Production Data Release, Department for Business, Enterprise and Regulatory Reform Energy Group, released data 01April 2008. https://www.og.dti.gov.uk/pprs/pprsindex.htm Table 1: Dimensional Characteristic of the Micromodel. Height /cm Width /cm MM PV /cm3 Ave. Pore depth / mµ Pore Dia. Range / mµ 4 0.7 0.01 50 30-500 Table 2: Oil saturation within micromodel at different times for the first test. Time (hours) Oil Saturation (%) 0.00 66.5 0.11 61.6 0.33 48.4 0.68 49.2 3.00 50.6 19.28 54.4 41.25 56.9 55.55 56 79.15 54 Table 3: Oil saturation within micromodel at different times for the second test. Time (hours) Oil Saturation (%) 0.00 72.3 0.50 44.8 4.70 47.1 6.28 49.6 23.13 57.1 70.38 58.6
  • 20. 19 100.23 57.9 Table 4: Volume of the oil droplet in Figure 12 at different times. Time (hours) Pixel No of oil droplet 0.00 10846 1.53 11561 3.50 12022 5.43 12176 21.97 12928 26.40 12963 29.98 13053 45.85 13176 72.27 13197 93.17 13271 Table 5: Estimated CO2 storage in the micromodel for both tests. First test (CWI as secondary recovery method) Second test (CWI as tertiary recovery method) Oil Saturation (%) 54 57.9 Water Saturation (%) 46 42.1 CO2 percentage in the oil phase (%) (So*18%) 9.72 10.42 CO2 percentage in the water phase (%) (Sw*7%) 3.22 2.95 Percentage of CO2 in the micomodel (%) 12.94 13.37
  • 21. 20 P u m p 3 CW P u m p 2 P u m p 1 P water water P P water/oil l fill Gas P P P P P Figure 1: Schematic Diagram of the Micromodel Rig Figure 2: Schematic Diagram of the Optical System (Mehran Sohrabi 2000). Windows Micromodel oven Fluid storage oven Pumps
  • 22. 21 Figure 3: The etched plate and the cover plate are brought together to form an enclosed pore space through which fluids can be displaced (Mehran Sohrabi 2000). Figure 4: The whole micromodel including two triangle sections fully saturated with degassed blue dyed water.
  • 23. 22 Figure 5: A magnified section of micromodel fully saturated with degassed blue dyed water. Figure 6: Initial oil saturation (n-Decane) in the same selected frame shown in the Figure 5. Water Grain, glass Oil
  • 24. 23 Figure 7: Fluid distribution in the same selected frame shown in the Figure 5, after 0.33 hrs of CWI, secondary recovery method. Figure 8: Fluid distribution in the same selected frame shown in the Figure 5, after 79 hrs of CWI, secondary recovery method. Snapped Oil ganglion Bypassed oil droplet
  • 25. 24 A: Soi B: CWI after 0.68 hrs C: CWI after 19.28 hrs D: CWI after 79.15 hr Figure 9: Fluid distribution in a selected frame of the micromodel showing oil recovery process during CWI as a secondary recovery method. CW
  • 26. 25 48 50 52 54 56 58 60 62 64 66 68 0 20 40 60 80 Time (h) So(%) Figure 10: Oil saturation versus time during CWI as a secondary recovery method. 43 48 53 58 63 68 73 78 0 20 40 60 80 100 Time (h) So(%) CWI WI produced oil Figure 11: Oil saturation versus time during CWI as a tertiary recovery method. Main Swelling Second displacement 1st displacement 2.3%
  • 27. 26 Figure 12: Swelling of an oil droplet due to diffusion of CO2 from CW into oil phase (n-Decane). Oil Swelling 10000 10500 11000 11500 12000 12500 13000 13500 0 20 40 60 80 100 Time (h) PixelNo.ofoilphase Figure 13: Volume of the oil droplet in Figure 12 versus time. 22.4 % Swelling A: t=0 B: t=5.43 hrs C: t=93.17 hrs 0.477 mm 0.135 mm
  • 28. 27 (A) (B) Figure 14: An oil drop trapped in a dead-end pore surrounded by (A) flowing carbonated water (CW), direct contact (B) water and CW flowing next to the water phase, indirect contact. (A) (B) Figure 15: CO2 concentration profiles during CWI for the (A) first scenario (Figure 14.A), direct contact, and (B) second scenario (Figure 14.B), indirect contact. Water Oil CW Flow Oil CW Flow CWWOil X1 CO2 X2 CWOil CO2 X1
  • 29. 28 (A) (B) Figure 16: CO2 concentration profile in the A) oil phase B) water phase after 3000 sec. Oil swells due to diffusion of CO2 from carbonated water into oil through water. Initial oil length Initial water length Oil length during swelling Length of water after swelling of oil Initial position of oil/carbonated water interface Movement of oil/water interface due to swelling of oil phase
  • 30. 29 1st Scenario 0.0E+00 5.0E-05 1.0E-04 1.5E-04 2.0E-04 2.5E-04 3.0E-04 3.5E-04 4.0E-04 0 100 200 300 400 500 600 700 800 Time (sec) Displacement(m) Swelling Figure 17: The oil/CW interface displacement for swelling of an oil droplet versus time in the first scenario, Figure 15.A, direct contact of oil and CW 2nd Scenario 0.E+00 5.E-05 1.E-04 2.E-04 2.E-04 3.E-04 3.E-04 4.E-04 4.E-04 0 1000 2000 3000 4000 5000 6000 7000 Time (sec) Displacementofoil/waterinterface (m) Swelling Figure 18: The oil/W interface displacement for swelling of an oil droplet versus time in the second scenario, Figure 15.B, indirect contact of oil and CW,
  • 31. 30 0.E+00 1.E-04 2.E-04 3.E-04 4.E-04 5.E-04 6.E-04 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Time (sec) Displacement(m) 1st scenario, Lo= 0.7mm 2nd Scenario Lo= 0.7, Lw=0.4mm Lo=1.1 mm Figure 19: swelling of oil in first and second scenario and the impact of water barrier on reduction of swelling rate.