M E J Haagh1, I Siretanu1, M H G Duits1, F Mugele1. 1. Physics of Complex Fluids Group and MESA+ Institute, Faculty of Science and Technology, University of Twente , P.O. Box 217, 7500 AE Enschede, The Netherlands.
Abstract
The effectiveness of water flooding oil recovery depends to an important extent on the competitive wetting of oil and water on the solid rock matrix. Here, we use macroscopic contact angle goniometry in highly idealized model systems to evaluate how brine salinity affects the balance of wetting forces and to infer the microscopic origin of the resultant contact angle alteration. We focus, in particular, on two competing mechanisms debated in the literature, namely, double-layer expansion and divalent cation bridging. Our experiments involve aqueous droplets with a variable content of chloride salts of Na+, K+, Ca2+, and Mg2+, wetting surfaces of muscovite and amorphous silica, and an environment of ambient decane containing small amounts of fatty acids to represent polar oil components. By diluting the salt content in various manners, we demonstrate that the water contact angle on muscovite, not on silica, decreases by up to 25° as the divalent cation concentration is reduced from typical concentrations in seawater to zero. Decreasing the ionic strength at a constant divalent ion concentration, however, has a negligible effect on the contact angle. We discuss the consequences for the interpretation of core flooding experiments and the identification of a microscopic mechanism of low salinity water flooding, an increasingly popular, inexpensive, and environment-friendly technique for enhanced oil recovery.
The effectiveness of water flooding oil recovery depends to an important extent on the competitive wetting of oil and water on the solid rock matrix. Here, we use macroscopic contact angle goniometry in highly idealized model systems to evaluate how brine salinity affects the balance of wetting forces and to infer the microscopic origin of the resultant contact angle alteration. We focus, in particular, on two competing mechanisms debated in the literature, namely, double-layer expansion and divalent cation bridging. Our experiments involve aqueous droplets with a variable content of chloride salts of Na+, K+, Ca2+, and Mg2+, wetting surfaces of muscovite and amorphous silica, and an environment of ambient decane containing small amounts of fatty acids to represent polar oil components. By diluting the salt content in various manners, we demonstrate that the water contact angle on muscovite, not on silica, decreases by up to 25° as the divalent cation concentration is reduced from typical concentrations in seawater to zero. Decreasing the ionic strength at a constant divalent ion concentration, however, has a negligible effect on the contact angle. We discuss the consequences for the interpretation of core flooding experiments and the identification of a microscopic mechanism of low salinity water flooding, an increasingly popular, inexpensive, and environment-friendly technique for enhanced oil recovery.
Standard water flooding oil recovery from
geological reservoirs
is a complex multiscale process with a rather low overall efficiency,
typically leaving between half and two-thirds of the oil in the ground
by the end of the economic lifetime of a reservoir.[1] This poor macroscopic efficiency is caused to an important
extent by the microfluidic two-phase flow processes that arise when
oil is displaced by the injected brine on the pore scale. Given the
large surface-to-volume ratios on the pore scale and the low capillary
numbers typically involved in oil recovery, it is clear that these
two-phase flows are controlled to a large extent by the wettability
of oil and water in the complex geometry of the porous rock material:
the distribution of local contact angles in combination with the pore
geometry provide the complex energy landscape, in which the distribution
of oil and water typically evolves under quasi-static conditions driven
by the externally applied pressure gradient. Numerous experiments,
simulations, and theoretical models on different levels of complexity
have demonstrated that the resultant final saturation of a porous
medium with the displaced phase (i.e., the oil-in-oil recovery) after
the invasion of the second immiscible phase (i.e., the injection water)
depends very sensitively on the relative wettability of the two phases
on the solid matrix.[2,3] For instance, a recent study combining
experiments with packed beads and numerical simulations consistently
demonstrates a substantial increase in the displacement efficiency
as the contact angle of the displacing phase is decreased from somewhat
above to somewhat below 90°.[4] Hence,
wettability alteration is a very efficient process to improve the
recovery of crude oil in enhanced oil recovery (EOR) processes.It is important to point, at the outset of any discussion, to an
ambiguity in terminology between physical chemists and the petroleum
engineering community in this context: in physical chemistry, “wettability”
describes a qualitative measure of the contact angle; “wettability
alteration” is therefore equivalent to “contact angle
alteration”. By contrast, petroleum engineers use the term
wettability to express the retention capability of a porous medium
in a two-phase flow displacement experiment such as the Amott wettability
test; wettability in that sense is therefore a much more complex quantity
that is affected by the properties of the aforementioned complex energy
landscape and the details of the process parameters such as sample
history and flow rates. Throughout this work, we will stick to the
generic terminology of physical chemistry, where wettability describes
the equilibrium contact angle.Since the mid to late 1990s,
empirical evidence has grown that
water flooding oil recovery with brines of reduced salinity gives
rise to significant increases in recovery.[5−7] Various mechanisms
have been proposed throughout the years to explain the success of
this low salinity water flooding (LSWF) process, including the mobilization
of fines,[8,9] mineral dissolution,[8] emulsification at elevated pH,[10,11] and wettability
alteration.[12] In fact, in more recent years,
wettability alteration from more oil-wet toward more water-wet has
become the predominant paradigm in the literature.[6,7] The
microscopic mechanisms causing the wettability alteration, however,
are also under debate. Whereas the situation in carbonate reservoirs
is particularly complex due to the strong chemical activity of the
rock,[13,14] the discussion for sandstone reservoirs
largely focuses on two specific competing mechanisms: double-layer
expansion (DLE) upon reducing the salinity,[8,15,16] and multicomponent ion exchange (MIE)/complex
formation.[17,18] In the MIE mechanism, divalent
cations play a prominent role because they are believed to promote
the binding of acidic oil components to negatively charged rock surfaces.
Empirical correlations of the success of LSWF with the clay content
suggest that among the rock components, clay is particularly important
for these surface reactions.[8]Despite
the facts that (i) recovery factors obtained in core flooding
experiments are affected by much more complex factors than local contact
angles and (ii) local contact angles are not measured in core flooding
experiments, it has become customary to discuss the alleged contact
angle variation in terms of very specific models based on the Derjaguin–Landau–Verwey–Overbeek
(DLVO) theory and its extensions involving specific chemical binding
mechanisms. An early overview of the physical ingredients of these
models was given by Hirasaki.[19] Such models
provide direct predictions for the variation in the equilibrium contact
angle on flat surfaces. One key element of such models is a thin wetting
film of brine with a thickness in the nanometer range, which is expected
to cover most of the solid surface in a partial wetting situation.
The thickness of such a wetting film is governed by a balance of repulsive
short-range and/or electrostatic forces and attractive long-range
dispersion forces.[19] In view of the intrinsically
hydrophilic character of the rock material, the existence of such
a water film is very plausible. However, its existence in experiments
is usually only inferred from indirect evidence such as sample history
and pretreatment. Direct proof for the existence of these layers has
been provided only in very few cases either using neutron reflectivity[20] or imaging ellipsometry in model systems.[21]Experiments aiming to demonstrate the
effect of brine composition
on wettability with model surfaces, crude oils and brines of variable
composition, and at variable temperatures provided mixed evidence.[22−24] To a certain extent, inconsistencies in macroscopic experiments
are not completely surprising given the complexity of both types of
surfaces and oils used in different experimental studies. Nevertheless,
such inconsistencies raise the question as to whether the basic underlying
assumptions regarding the competing candidate mechanisms are justified.
This question prompted a series of experiments in our laboratory in
recent years to verify one by one the validity of each individual
step involved in the competing MIE and DLE mechanisms. On the microscopic
scale, we verified the preferential adsorption of divalent cations,
as compared with monovalent cations, to mineral surfaces using atomic
force microscopy and ellipsometry.[21,25] On the macroscopic
scale, we showed that this adsorption process of divalent cations
(Ca2+, Mg2+) induces partial water wetting in
idealized decane/brine/muscovite systems.[21] This transition could be correlated with a reversal of the muscovite/water
interfacial charge from negative to positive, leading to attractive
electrostatic contribution in the DLVO forces governing the stability
of the oil/water film/muscovite system. At the same time, monovalent
cations (Na+, K+) always lead to a repulsive
electrostatic contribution to the total disjoining pressure and hence
to near-zero contact angles. A quantitative DLVO model provided a
consistent description of the contact angle alteration with the brine
composition-dependent variation of the interfacial charges.We also performed measurements where small amounts of stearic acid
were added to the oil phase, as a model to represent interfacially
active acidic oil components.[26] The combination
of stearic acid and divalent cations demonstrated a massive synergistic
effect, boosting the range of the observed wettability alteration
from approximately 10° to more than 60°. Atomic force microscopy
and ellipsometry imaging revealed that this boost in the wettability
alteration was caused by the formation of a self-assembled monolayer
of stearate rendering the muscovite surface substantially more hydrophobic.[26,27] These experiments suggested that the divalent cations act indeed
as glue, attaching acidic oil components to the mineral surface, as
suggested in the MIE model of LSWF.[17] The
fact that the simultaneous presence of the acidic additive and the
divalent cations was essential for the formation of these layers is
consistent with our earlier observations demonstrating that the stability
of Langmuir–Blodgett films of stearic acid under water depends
strongly on the presence of divalent cations during the preparation
process of these layers.[27] While supporting
the idea of divalent ion-mediated binding of stearate to the surface,
the fact that the preparation conditions had an important effect on
the ultimate stability of the layers raises questions regarding the
kinetics and the equilibration of the adsorption/desorption processes
in these systems.All of these preceding studies thus consistently
point to an essential
role of divalent cations in increasing the water contact angles by
binding the polar oil components. Yet, these studies were mostly carried
out with brines containing only a single species of salt. In the present
work, we extend the scope of our macroscopic wettability alteration
tests by allowing for the simultaneous presence of both monovalent
and divalent cations. Therefore, we allow for competition between
different cations for complexation both to the surface and to the
carboxylate group of the stearate. This extension is important because
it allows us to vary independently the concentration of the divalent
cations and the overall salinity of the brine. As a consequence, we
are able to discriminate between the two proposed mechanisms of DLE
and MIE by analyzing the contact angle as we vary either the total
ionic strength or the concentration of the divalent cations while
keeping the other factor constant. In addition, we established an
in situ fluid exchange protocol to vary the salinity of a sessile
brine drop while in touch with the solid substrate in ambient oil.
This allows us to address important issues regarding the reversibility
of the formation of hydrophobizing stearate layers upon reducing the
ionic strength or the divalent ion content in the brine drop. Experiments
are carried out in parallel on muscovite and silica surfaces to represent
the main components of sandstone rock, with large flat muscovite surfaces
representing the clay component.
Experimental
Section
Materials
Anhydrous n-decane was used
as the oil phase in all experiments. It was passed five times through
a 5 cm long column of aluminum oxide powder to reduce the presence
of surface active impurities.[28] In this
oil phase, fatty acids were dissolved to a concentration of 100 μM.
In nearly all cases, octadecanoic acid (stearic acid) was used as
the fatty acid; the exception was a fluid exchange experiment where
a 1:1 molar combination of 12-phenyl-dodecanoic acid and stearic acid
was used. For the brine phases, we used purified water (Millipore,
resistivity 18.2 MΩ cm) in which different combinations of the
following salts were dissolved: NaCl, KCl, CaCl2·2H2O, and MgCl2·6H2O. Additionally,
small amounts of NaOH were added in case the pH needed to be increased.
All chemicals used were purchased from Sigma Aldrich. For the solid
substrates, we used muscovite slides (B & M Mica Co., Inc.) and
silicon wafers that were coated with a 30 nm amorphous, thermally
grown silicon oxide layer (Okmetic Oyj).Two types of brines
were prepared: binary salt solutions and artificial seawater (ASW)
variations. Binary salt solutions were prepared from one monovalent
and one divalent cation chloride salt in the following combinations:
Na+ and Ca2+; Na+ and Mg2+; and K+ and Ca2+. For the ASW variations,
we used all four aforementioned salts at their typical concentrations
in seawater[29] to prepare the so-called
simplified ASW (Table ). Three series of ASW variations were investigated. First, a simple
dilution (DIL) series, where all salt concentrations are reduced evenly.
Second, a series at a constant ionic strength (cIS), where we reduced
the concentration of CaCl2 and MgCl2 while adding
NaCl and KCl to compensate for the loss of ionic strength (; where c and z are the
concentration and valence of the ith ionic species,
respectively). Third, a series at a constant divalent cation concentration
(cDIV), where we reduced only the concentration of NaCl and KCl. The
concentration ratios of Na+:K+ and Ca2+:Mg2+ are the same for all of these samples.
Table 1
Brine Compositions and Their Ionic
Strengths Used in the Experiments with ASW
salt
concentration (mM)
brine name
NaCl
KCl
CaCl2
MgCl2
ionic strength (mM)
ASW 100%
485
10.3
10.8
55.5
694.2
DIL 50%
242.5
5.2
5.4
27.8
347.1
DIL 10%
48.5
1.0
1.1
5.6
69.4
DIL 0%
0
0
0
0
0
cIS 50%
582.4
12.4
5.4
27.8
694.2
cIS 10%
660.3
14.0
1.1
5.6
694.2
cIS 0%
679.8
14.4
0
0
694.2
cDIV 50%
242.5
5.2
10.8
55.5
446.6
cDIV 10%
48.5
1.0
10.8
55.5
248.4
cDIV 0%
0
0
10.8
55.5
198.9
Contact Angle Measurements
Brine droplets with a volume
of ≈2 μL were deposited on the solid substrate in oil
by gently lowering the needle from which they were hanging. After
achieving contact with the substrate, lifting the needle was sufficient
to release the droplet. Side-view images of droplets were captured
using an optical contact angle goniometer (OCA20L) (Figure a). The contact angles were
extracted from these images by applying a circle fitting to the droplet
contour using the SCA20 software (both hardware and software from
DataPhysics Instruments GmbH). For each experimental condition, the
contact angle was averaged over 20 measurements consisting of 2 sets
of 10 measurements, where each set was performed with freshly prepared
brine. Typically, the standard errors of these measurements have values
between 2° and 5°.
Figure 1
Schematic of the experimental setups used for
contact angle measurements
after droplet deposition (a) and during fluid exchange (b).
Schematic of the experimental setups used for
contact angle measurements
after droplet deposition (a) and during fluid exchange (b).
Single Droplet Fluid Exchange
Muscovite slides were
first pretreated to be fully covered by a hydrophobic monolayer of
fatty acids. This was achieved by first depositing a 200 μL
ASW droplet on a slide submerged in a solution of fatty acid in n-decane. Care was taken to ensure that the droplet covered
the entire slide. After a dwell time of 5 min, the brine fluid was
extracted using a needle and a syringe pump operated at 50 μL/min.
This procedure should result in the deposition of a hydrophobic layer
via the receding contact line, as explained in detail in ref (30). Briefly, after deprotonation
of the fatty acid, complexation with a metal cation takes place at
the oil/water interface.[31] The positively
charged metal–fatty acid complex gets transferred to the negatively
charged solid substrate,[26] somewhat similar
to the Langmuir–Blodgett transfer. The coated substrate was
kept in oil.In the next step of the protocol, a brine droplet
of 18.6 ± 1.3 μL was pipetted on the pretreated substrate.
The mean and standard deviation of this droplet volume (V) were obtained by weighing 20 droplets on an analytical mass balance.
Two glass capillaries (100 μm inner and 170 μm outer diameter;
VitroCom) were inserted in the deposited droplet after they had been
connected to a Legato 270 push/pull syringe pump (KD Scientific),
as illustrated in Figure b. Connecting the inlet to a reservoir with the brine of interest
allowed exchanging the contents of the droplet while maintaining a
constant volume. This exchange was carried out at a rate of 10 μL/min.It turned out that most droplets did not maintain a spherical cap
shape when deposited on the pretreated substrate; this was visible
as a left–right asymmetry in side-view images and as an irregular,
noncircular, contact line in bottom views. These imperfections are
ascribed to heterogeneities in the deposited layer; from previous
studies of brine droplets under oil with stearic acid[26] and on exposure of dried Langmuir–Blodgett layers
to brine,[27] it is known that inhomogeneous
patterns are formed. To obtain the best representative contact angle,
we measured the droplet/muscovite interfacial area using the bottom-view
camera. A pixel-counting script was used to measure the area, which
was averaged over nine measurements for each condition. The effective
contact angle (θeff) was then calculated using the
relation between area (A), volume (V), and contact angle (θ) for a spherical capMeasurement
of droplet contact angles with the side-view camera,
before and after fluid exchange, indicated that the two types of measurements
corresponded to each other, within the error margins (before: 58.9
± 13.7° for the bottom-view and 69.7 ± 14.5° for
the side-view; after: 27.8 ± 2.6° for the bottom-view and
30.6 ± 10.7° for the side-view).
Results
General Behavior
After deposition on muscovite substrates,
most brine droplets showed, after a short phase of rapid spreading,
a significant amount of retraction. The latter process was slow enough
to measure it via the contact angle. Figure a shows the kinetics of the relaxation of
the contact angle during this phase. This behavior, which has been
termed autophobing,[30] is believed to originate
from a metal-stearate transfer from the oil/water interface onto the
muscovite.[26] This hydrophobic monolayer
formed at the contact line forces the droplet to a higher contact
angle.[30] The time needed for the droplets
to reach a constant contact angle ranged from 10 s to 3 min, depending
on the brine composition and pH. Thereafter, the contact angle remained
stable for at least 15 min. We will therefore denote it as the final
contact angle (θf).
Figure 2
Contact angles of brine droplets at pH
8 in an n-decane + 100 μM stearic acid solution
on muscovite: (a) typical
behavior of a 500 mM CaCl2 drop receding over time and
(b) final contact angles vs salt concentration for CaCl2 (blue circles) and NaCl (orange diamonds).
Contact angles of brine droplets at pH
8 in an n-decane + 100 μM stearic acid solution
on muscovite: (a) typical
behavior of a 500 mM CaCl2 drop receding over time and
(b) final contact angles vs salt concentration for CaCl2 (blue circles) and NaCl (orange diamonds).Figure b
illustrates
the impact of the valence of the cations in the solution on the contact
angle. Raising the concentration of Na+ from 0 to 500 mM
increases the contact angle only slightly from approximately 2°
to 5°. But when Ca2+ is used instead of Na+, the contact angle increases to 55°. Even 20 mM Ca2+ leads to a contact angle of 25°. This underlines the relevance
of the type of cation for the wetting behavior of solutions of individual
species of salts.
Binary Salt Solutions
Building on
our previous studies
with individual salts,[26] we performed contact
angle measurements with droplets containing solutions of binary mixtures
of cations on the same type of muscovite surfaces in n-decane in the presence of stearic acid. All experiments were carried
out at pH 8 to ensure near-complete stearic acid deprotonation (pKa = 4.75).[32]Combinations of NaCl and CaCl2 solutions display an intermediate
behavior between pure NaCl and pure CaCl2 solutions with
high [Ca2+]:[Na2+] ratios promoting Ca2+-like behavior including autophobing and vice versa (Figure ). For [Ca2+] of
100 mM and higher, θf turned out to be independent
of [Na+] up to 0.5 M. At 10 mM Ca2+, however,
[Na+] of 0.5 M was enough to reduce θf down to ≈5°, which is the same value as that of a pure
NaCl solution (Figure b).
Figure 3
Contact angles of NaCl + CaCl2 brine droplets at pH
8 in n-decane + 100 μM stearic acid on muscovite:
(a) dependence on [Na+] and [Ca2+] right after
the droplet deposition (left) and after a stable conformation was
reached (right) and (b) sets of 500 mM (green circles), 100 mM (blue
diamonds), and 10 mM (orange squares) CaCl2 droplets at
varying NaCl concentrations, shown on the abscissa. The black star
indicates the contact angle of a pure 500 mM NaCl droplet.
Contact angles of NaCl + CaCl2brine droplets at pH
8 in n-decane + 100 μM stearic acid on muscovite:
(a) dependence on [Na+] and [Ca2+] right after
the droplet deposition (left) and after a stable conformation was
reached (right) and (b) sets of 500 mM (green circles), 100 mM (blue
diamonds), and 10 mM (orange squares) CaCl2 droplets at
varying NaCl concentrations, shown on the abscissa. The black star
indicates the contact angle of a pure 500 mM NaCl droplet.To explore the general validity of these observations,
we tested
different combinations of common cations (Na+, K+, Ca2+, and Mg2+) in seawater. The contact
angles of Na+/Mg2+ droplets (Figure a) display trends very similar
to those of Na+/Ca2+, except that the contact
angles are overall slightly higher for the same concentrations. In
particular, even in the presence of 0.5 M Na+, a finite
value of ≈30° is observed at 10 mM Mg2+. Surprisingly,
even [Mg2+] as low as 1 mM induces a substantial contact
angle of ≈20° at high [Na+]. Interestingly,
at this [Mg2+], θf was found to vary in
a nonmonotonic manner with increasing [Na+].
Figure 4
Final contact
angles of binary salt solution droplets at pH 8 in n-decane + 100 μM of stearic acid on muscovite: (a)
NaCl and MgCl2 and (b) KCl and CaCl2. The monovalent
cation concentration is shown on the x-axis. The
divalent cation concentration is shown at 500 mM (green circles),
100 mM (blue diamonds), 10 mM (orange squares), and 1 mM (olive triangles).
The black star indicates the contact angle of a pure 500 mM monovalent
cation droplet.
Final contact
angles of binary salt solution droplets at pH 8 in n-decane + 100 μM of stearic acid on muscovite: (a)
NaCl and MgCl2 and (b) KCl and CaCl2. The monovalent
cation concentration is shown on the x-axis. The
divalent cation concentration is shown at 500 mM (green circles),
100 mM (blue diamonds), 10 mM (orange squares), and 1 mM (olive triangles).
The black star indicates the contact angle of a pure 500 mM monovalent
cation droplet.The K+/Ca2+ system (Figure b) showed a behavior that is very different
from that of Na+/Ca2+ (Figure b): for all measurements with [K+] ≥ 100 mM, the droplets reached contact angles of ≈25°,
after an initial phase of spreading and subsequent autophobing. The
Ca2+ content affected the contact angle only at the lowest
K+ concentration of 10 mM.
Modified Artificial Seawater
Expanding on the experiments
with the binary cation combinations, we also studied the effects of
the concentrations of the combined mono and divalent cations, as occurring
in ASW. Three types of concentration variations were explored (DIL,
cIS, and cDIV; Table ). Here, the DIL series serves as a reference, representing the simplest
way to lower salinity. The cIS series keeps the ionic strength constant
while the divalent cation concentration is varied. The cDIV series
is complementary; here, the divalent cation concentration is kept
constant while the ionic strength is varied. Together, these three
series offer a way to examine the relative importance of the possible
wetting mechanisms; for example, in the case of a dominant DLE, the
cIS series should produce invariable contact angles while the cDIV
experiments would show a variation. If cation bridging were dominant,
then C2MD should produce constant contact angles while cIS would show
a variation. To approach the sandstone reservoir surface chemistry,
we studied both muscovite and oxidized silicon substrates at a close
to neutral pH (6.5).On muscovite, the DIL contact angles showed
a decrease from 25° to 2° (Figure a). The cIS contact angles superimpose very
well on those of DIL, down to a dilution of 10% with respect to ASW.
The only significant difference between cIS and DIL was found at 0%.
Here, the droplets of cIS 0% had an 8° contact angle, whereas
that of the pure water droplets of DIL 0% was 2°. The cDIV contact
angles remained constant at 25°, even though the ionic strength
was strongly reduced from 694.2 to 198.9 mM.
Figure 5
Final contact angles
of ASW-based droplets measured in n-decane + 100
μM stearic acid on (a) muscovite at
pH 6.5 and (b) silica at pH 6.5 (inset) and 8.0. Blue circles indicate
dilutions of ASW, green squares indicate dilutions of the monovalent
cation part of ASW only, keeping the divalent cation concentration
constant, and orange diamonds indicate dilutions of the divalent cation
part only, while the monovalent cation concentration is adjusted to
maintain a constant ionic strength.
Final contact angles
of ASW-based droplets measured in n-decane + 100
μM stearic acid on (a) muscovite at
pH 6.5 and (b) silica at pH 6.5 (inset) and 8.0. Blue circles indicate
dilutions of ASW, green squares indicate dilutions of the monovalent
cation part of ASW only, keeping the divalent cation concentration
constant, and orange diamonds indicate dilutions of the divalent cation
part only, while the monovalent cation concentration is adjusted to
maintain a constant ionic strength.On silica, at pH 6.5, no significant wettability alteration
was
observed in any series, and measurements suffered from a large uncertainty
(Figure b, inset).
Therefore, measurements on silica were also performed at pH 8, where
silica had a stronger negative surface charge (Figure b).[33] Here, a
small salinity-induced wettability effect was observed. All three
series followed a similar decrease from 19° to 10–15°,
and all contact angles were reached by spreading rather than autophobing.From the trends in θf reported in the previous sections, it could not be concluded
whether these contact angles are truly equilibrium values. If they
are, it should be possible to reverse the autophobing process by changing
the salt composition of a high θf droplet to that
of a low θf droplet. We tested this hypothesis using
the single droplet fluid exchange setup on ASW droplets of pH 8, which
were deposited on a muscovite substrate that was coated with a fatty
acid (see Experimental Section). Our aim was
to qualitatively reproduce the trends of the DIL, cIS, and cDIV series
shown in Figure a.
In analogy to the LSWF process, we exchanged the droplet content with
water, cIS 0% or cDIV 0%.From the measured brine/muscovite
interfacial area (Figure a), we calculated the effective contact angle (Figure b) using eq . For all explored conditions, the observed
effective contact angle trends broadly corresponded with the θf trends of their respective series. ASW droplets that were
flushed with water spread over the course of 10 min from an effective
contact angle of 60° to 35°. Droplets flushed with cIS 0%
initially spread following a similar trend. But after 10 min, the
droplets continued to spread, eventually reaching effective contact
angles of around 20°. Droplets flushed with a cDIV solution showed
no significant spreading.
Figure 6
Fluid exchange experiments on pH 8 ASW droplets
in n-decane + 100 μM stearic acid on muscovite
pretreated with
a stearate layer: (a) experimental setup, (b) stills from side- and
bottom-view videos taken during the initial stable conformation (left)
and the final video frame after flushing with water (right), and (c)
effective contact angles of the spreading droplets. Blue line indicates
ASW flushed with water, orange dotted line indicates that with a purely
monovalent cation solution at a constant ionic strength, and olive
dashed line indicates that with water in an oil phase containing equal
parts of stearic acid and 12-phenyl-dodecanoic acid. The shaded areas
represent the standard deviation of the datasets.
Fluid exchange experiments on pH 8 ASW droplets
in n-decane + 100 μM stearic acid on muscovite
pretreated with
a stearate layer: (a) experimental setup, (b) stills from side- and
bottom-view videos taken during the initial stable conformation (left)
and the final video frame after flushing with water (right), and (c)
effective contact angles of the spreading droplets. Blue line indicates
ASW flushed with water, orange dotted line indicates that with a purely
monovalent cation solution at a constant ionic strength, and olive
dashed line indicates that with water in an oil phase containing equal
parts of stearic acid and 12-phenyl-dodecanoic acid. The shaded areas
represent the standard deviation of the datasets.In the measurements described above, stearate is the only
polar
organic compound, whereas in crude oil, many surface active compounds
coexist. It is known that stearate monolayers at an air/water interface
can be destabilized by additional surface active compounds.[34] To ensure that our observations do not rely
on a uniform monolayer, we also performed measurements where we used
a 1:1 molar combination of 12-phenyl-dodecanoic acid and stearic acid.
Both have a similar molecular mass (284 and 276 g/mole, respectively)
but differ sterically. FlushingASW droplets with water on this mixed
hydrophobic layer caused them to reach a lower final contact angle
(20°), approximately twice as fast as with stearic acid only.
Discussion
Ion Adsorption-Controlled Wetting
On a macroscopic
scale, the wettability is governed by the balance of interfacial tensions
at the three-phase contact line. The present oil/water/mineral systems
are well-known to fall in the regime of pseudopartial wetting,[35,36] in which the macroscopic drop is accompanied by a microscopic wetting
film covering in equilibrium the entire solid surface (Figure ). In this case, the equilibrium
tension of the substrate–oil interface (γso) is determined by the minimum of the thickness-dependent effective
interface potential φ(h), where h is the film equilibrium thickness: γso(h) = γsw + γ + φ(h), where γsw and γ are the solid/water and
the oil/water interfacial tensions, respectively. Experimentally,
the presence of such a film and the dependence of its thickness on
the salinity of the brine has been reported recently by our team for
a simplified system in the absence of surface active species.[21] In that work and in a subsequent theoretical
study that included charge regulation,[37] it was possible to reproduce the experimentally observed salinity-dependent
wetting transition within the DLVO theory by decomposing φ(h) explicitly into its electrostatic, van der Waals, and
(exponentially decaying) short-range hydration contribution by writing
φ(h) = φel(h) + φvdW(h) + φh(h) with explicit expressions for each term.[21] The model and the complementary surface charge
measurements confirmed that the alteration of the water contact angle
from almost complete water wetting in the presence of Na+ or K+ to finite contact angles in the presence of Ca2+ or Mg2+ could be attributed to a reversal of
the muscovite/water interfacial charge. Yet, even those studies and
the follow-up work involving different types of monovalent and divalent
cations displaying pronounced specific ion effects[38] showed that the choice of the short-range interactions
plays a crucial role for the quantitative results of such models.
Figure 7
Model
representation of the molecular scale processes that underlie
macroscopic wettability.
Model
representation of the molecular scale processes that underlie
macroscopic wettability.The presence of surface active stearates in the present experiments
increases the complexity even more. In addition to the adsorption
of the ions on the solid surface, complexation reactions between the
ions and the carboxylate groups of the fatty acid molecules need to
be included. More importantly, however, a prediction of the equilibrium
contact angle and the equilibrium thickness of the aqueous film would
require an explicit model function φbridge(h) for the contribution of the presumed divalent cation
bridge between the solid surface and the adjacent fatty acid molecules
at the oil/water interface. To our knowledge, no analytical expression
for this function has ever been proposed. Given the complexity of
the problem, a numerical statistical approach based on molecular dynamics
simulations, such as the potentials of mean force used, for example,
by Horinek et al.[39] in the context of ion
adsorption on solid surfaces, may be the only realistic approach to
address this problem.In the present work, we restrain ourselves
to a qualitative interpretation
of our findings in the context of the extensive literature on the
separate interfaces, namely, fatty acid-laden hydrophobic–water
interfaces and solid–electrolyte interfaces. In both cases,
the interaction of the cations studied here with the relevant surface
groups, the carboxylate group, and the surfaces of muscovite and silica
have been investigated in great detail. At the near-neutral pH of
the present experiments, it is primarily the interaction with the
ions, which triggers the deprotonation of the acid group.[40] It is well-known from the extensive literature
on Langmuir monolayers of fatty acids, in particular stearic acid,
that divalent Mg2+ and Ca2+ interact more strongly
with the carboxylic acid group of the stearic acid than Na+ and K+.[27,40,41] But valence is not the only property affecting the binding affinity.
Because of the differences in the hydration of cations with identical
valence, binding affinities with muscovite[42] and acid groups[43] also vary within the
metal groups. The general consensus in the literature is that the
binding affinities for these ions with the acid groups follow Ca2+ > Mg2+ > Na+ > K+.[40,41,44] Judging from
our binary salt
solution contact angle measurements, shown in Figures b and 4, this binding
affinity alone cannot explain the wettability trends, particularly
in Figure b where
at equal concentrations, K+ suppresses Ca2+ in
wettability effects.To explain this observation, we should
also consider the interactions
between the cations and the charged muscovite surface. Because of
the
size and hydration state of K+ being ideal to be adsorbed
on the muscovite lattice, it is adsorbed more strongly than Na+.[45,46] This could explain why K+ is
more efficient in suppressing the adsorption of stearic acid on mica
as compared with Na+ at equal concentrations. However,
in our measurements, the autophobing effects of Ca2+ and
Mg2+ are not suppressed by Na+ at equal concentrations.
In a similar mechanism, K+ is also known to be more efficient
than Na+ in inhibiting the adsorption of proteins on muscovitemica.[47] Overall, the binding affinity of
cations in our thin-film system is likely to be a collective effect
related to the cation valence, the charges of the interacting surfaces,
and the hydration of surfaces and ions.
Relevance for EOR
As already pointed out, the retention
of oil in a porous rock in a core flooding experiment, let alone in
an actual oil reservoir, is governed by many more complex factors
than the simple variation of the contact angle studied here. These
include the complex pore geometry, elevated temperatures and pressures,
and the chemical composition of rock, oil, and brine. The present
experiments are therefore obviously not suitable to derive quantitative
predictions regarding enhanced recovery factors. Nevertheless, the
experiments clearly demonstrate a few aspects that should enter into
any quantitative description of a low salinity EOR process. First
of all, our experiments clearly demonstrate that the salinity of the
brine can have a strong influence on the wettability of oil/water/mineral
systems in the presence of acidic oil components and that contact
angle variations can be as large as 60° upon removal of the divalent
cations. This is an enormous effect. If inserted into reservoir simulations
or other theoretical models of porous media two-phase flows, such
variations have an enormous impact on the predicted recovery, in fact
exceeding the observed recovery enhancement by far. In oil reservoirs,
the actual contact angle variations are probably very different and
most likely much smaller. The abundance of polar components in crude
oils will probably reduce the effect of the contact angle variations
compared with the idealized situation of a single fatty acid component,
as reported by various authors.[23,24,48] On the other hand, the increased temperatures in the reservoirs,
which tend to promote the adsorption of polar organics, might increase
the effect on water wettability again.[49,50] In any case,
according to reservoir simulations, a reduction in the water contact
angles of a few degrees is still consistent with the recovery enhancements
of several percent, as seen in many core flood experiments.[3]The difference in the low salinity response
between the muscovite basal plane and the amorphous silica surfaces,
shown in Figure ,
is rather striking. Although one might have speculated that the adsorption
of divalent cations could be even stronger on the amorphous silica
surface because of the presence of ionizablesilanol groups, the opposite
is the case, and the formation of salinity-responsive metal stearate
layers is more favorable on the crystalline muscovite surface. Notwithstanding
differences between the basal plane of muscovite and other clays typically
encountered in oil reservoirs, the strong response on the muscovite
surface is nevertheless consistent with the rather widely reported
correlation between the clay content and a pronounced low salinity
response in core flooding.[8]Finally,
we would like to address the contribution of our results
to the ongoing discussion about the relative importance of the electric
DLE versus divalent cation bridging in LWSF. Under the conditions
of the present simple model system, the results are crystal clear.
Reducing the divalent ion content improves the water wettability,
whereas reducing the ionic strength at a constant divalent ion content
does not. In the literature, the effect of electric double-layer forces
is typically discussed in the context of the classical DLVO theory
using expressions for the electric part of the disjoining pressure
that are obtained from Poisson–Boltzmann theory, sometimes
even in the linear Debye–Hückel limit. Although appropriate
up to moderate concentrations of monovalent ions and at low concentrations
for divalent ones, it is clear that these models fail at concentrations
of ASW or higher because they frequently occur in connate brines.[50] For the ionic strengths of the solutions used
in this study (see Table ) and for those in low salinity oil recovery tests, the Debye
screening length of electrostatic interactions is typically less than
1 nm; for the undiluted ASW, it even approaches the diameter of a
water molecule. Under these conditions, the classical separation of
DLVO forces into van der Waals forces and electrostatic forces no
longer holds. Short-range chemical forces including hydration effects
of both surfaces and the individual ions are of crucial importance
in that range, and the thin water film no longer behaves like a continuous
bulk water layer. Although the thickness of the Debye layer, according
to its formal definition , does indeed
increase by a factor of 3
upon reducing the ionic strength by a factor of 10 as in many low
salinity EOR experiments, it remains in a range where the dominant
forces are governed by short-range interactions that are not captured
by DLVO theory. Attributing the success of LWSF to the electric DLE
is therefore in our view misleading from a conceptual perspective.
By contrast, our present experiments directly demonstrate, without
need to invoke any model, that the presence or absence of divalent
cations has a pronounced effect on water wettability, presumably mediated
by a surface bridging and complexation mechanism.
Conclusions
The main aim of this work was to contribute to the ongoing debate
about the microscopic mechanism of LSWF for EOR in sandstone reservoirs,
focusing in particular on the competing mechanisms of ion exchange
versus DLE. Starting from the assumption that contact angle alteration
is the macroscopic manifestation of the relevant microscopic processes
controlling the efficiency of LSWF, we analyzed the effect of brine
composition on the contact angle of a multicomponent brine droplet.
To avoid the poorly understood influences of crude oil components,
we performed these experiments in ambient decane with fatty acid on
muscovite and oxidized silicon wafers. Although some specific cation
effects, beyond valence, were observed, the overall effect of diluting
and supplementing cation mixtures, resembling those in seawater, turned
out to be remarkably simple. Our experimental results in Figure clearly show that
for muscovite substrates, reducing the ionic strength while keeping
the divalent cation concentration constant has little effect on the
wettability. On the contrary, reducing the divalent cation concentration
while keeping the ionic strength constant decreases the contact angle
of the droplets by tens of degrees. Straightforward dilution of artificial
seawater leads essentially to the same behavior as reducing only the
divalent cation concentration. By contrast, for silicon oxide surfaces,
little effect of dilution on water wettability is only seen. The difference
between the two substrate materials is consistent with core flooding
experiments that suggest a correlation between the efficiency of LSWF
and the clay content. The in situ fluid exchange measurements reported
in Figure demonstrate
that these conclusions hold not only for brine droplets of variable
composition deposited onto a clean solid surface but also if the composition
of a sessile droplet on an already hydrophobized substrate is gradually
changed from high salinity to low salinity or low divalent cation
condition, in the spirit of EOR by LSWF.Clearly, these results
refer to contact angle measurements in a
highly simplified system. As discussed, one should not expect that
the presented results translate one-to-one to recovery in an actual
oil reservoir, given the different thermodynamic conditions of elevated
temperature and pressure, and in particular, the much more complex
composition of oils and brines. Nevertheless, regarding the mechanistic
details of binding of acidic oil components to mineral surfaces, the
present experiments do show that the expansion of the electric double-layer
is primarily a collateral effect but not the cause of the wettability
(i.e., contact angle) alteration. The latter seems to be driven essentially
by the removal of divalent cations. As a general trend, our experiments
suggest that the hydration effects of both ions and surfaces play
a much more important role than sometimes portrayed in the engineering
literature that very often relies purely on electrostatic interactions.
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