The stability of water-in-crude and model oil emulsions.
Sullivan, Andrew P. ; Zaki, Nael N. ; Sjoblom, Johan 等
INTRODUCTION
The existence of emulsions in both the production and refining of
crude oil is one of the most persistent problems facing the petroleum
industry. At the production end, emulsions are generated when water is
co-produced with petroleum or pumped into the well to aid in petroleum
recovery and this mixture passes through the wellhead, pipe bends, and
choke valves. At the refinery, water is added to generate a large
oil-water interfacial area to aid in the extraction of salts from the
crude oil. The emulsions produced from these processes do not easily
resolve into neat crude and water phases and a certain volume of the
emulsion remains (Obah, 1988; Schramm 1992; Schubert and Armbruster,
1992; Sjoblom et al., 1997b; Tissot and Welte, 1984). The emulsified
water can corrode refinery equipment such as distillation columns and
dissolved salts in the water can poison catalysts (Obah, 1988). Some
emulsions are very viscous and will foul machinery if allowed to
continue through the refining processes. To minimize these problems,
emulsions undergo separation procedures such as electrostatic
coalescence and demulsifier addition. There is a great deal of ongoing
research attempting to correlate crude oil and demulsifier properties
with the effectiveness of these separation methods (Bhardwaj and
Hartland, 1993; Breen et al., 2003; Hirato et al., 1991; Kim et al.,
1996; Krawczyk et al., 1991; Malhotra and Wasan, 1986; Mohammed et al.,
1994; Mukherjee and Kushnik, 1988; Singh, 1994; Sjoblom et al., 1990;
Wasan, 1992; Zaki et al., 1996a, b).
Surface-Active Components in Petroleum
The mechanism of water-in-crude oil emulsion stabilization is not
fully understood. The primary means, however, by which water droplets
are stabilized, appears to be the formation of a viscoelastic,
mechanically strong film at the droplet interface composed of
asphaltenes (Cratin, 1969; Dodd, 1960; Graham et al., 1983; Mackay et
al., 1973; Strassner, 1968; Taylor, 1992; Siffert et al., 1984).
Asphaltenes are the portion of petroleum insoluble in an n-alkane
solvent (usually n-pentane or n-heptane). Asphaltenes are polydisperse
with respect to molecular weight and chemical functionality. The common
structural theme among asphaltenes is a planar, polyaromatic, fused ring
core imbedded with polar functionality, surrounded by aliphatic side
chains and naphthenic rings (Figure 1a) (Bestougeff and Byramjec, 1994;
Cimino et al., 1995; Dickie and Yen, 1967; Pelet et al., 1985; Speight,
1986, 1989; Yen, 1992). In petroleum, asphaltene molecules aggregate to
minimize the interactions between their polar cores and the non-polar
solvent and to increase the extent of [pi]-bond overlap (Moschopedis et
al., 1976; Speight and Moschopedis, 1979; Yen, 1992). Asphaltenes are
surface-active, having hydrophobic and hydrophilic portions, however,
unlike typical surfactants, asphaltenes and their aggregates likely
orient parallel to the interface, exposing their cores to the water
phase. Scanning tunnelling microscopy has been utilized to image the
surface of pyrolytic graphite with adsorbed asphaltenes (Watson and
Barteau, 1994). The surface was highly ordered and flat with periodic
features extending from the surface ca. 2 [Angstrom]. The results
indicated asphaltene sheets oriented parallel to the surface with the
terminal carbons of the aliphatic side-chains extending from the
surface. The orientation of asphaltenes upon exposure to graphite may be
similar to that with water interfaces, both surfaces preferentially
interact with asphaltenic cores.
[FIGURE 1 OMITTED]
Resins, another class of surface-active molecules in petroleum,
have their hydrophobic and hydrophilic portions on opposite ends,
encouraging interfacial adsorption. Resins solvate asphaltenic
aggregates by adsorbing to the faces of these aggregates, a process
sometimes referred to as peptization (Figure 1a) (Kawanaka et al., 1989;
Sheu et al., 1991; Speight and Moschopedis, 1979). The interaction of
asphaltenes and resins and the subsequent adsorption to the water-oil
interface forms a mechanically strong, viscoelastic, cross-linked
network preventing droplet coalescence (Figure 1b). Mackay and coworkers
(Mackay et al., 1973) observed this structure when they formed a water
droplet in an asphaltene-containing oil phase, allowed time for
adsorption to the interface, and withdrew the water. This process
yielded a sac-like structure that folded as the water was removed but
did not rupture.
Emulsions produced via asphaltene-resin aggregation and adsorption
to the interface are a major concern to the petroleum industry. As oil
is produced, the lighter material with lower asphaltene and water
content is encountered first. As wells near completion, the light end
supplies are exhausted, and the heavier, higher asphaltene content
petroleum is produced. As heavier crudes are produced, the industry will
have to develop ways to better handle and understand asphaltene physical
chemistry and the emulsion problem.
Methods of Measuring Emulsion Stability
There have been many attempts at quantifying and correlating
emulsion stability. So-called bottle tests and droplet size observations
are common (Aveyard et al., 1990; Bhardwaj and Hartland, 1993, 1994;
Breen et al., 2003; Ese et al., 1997; Gelot et al., 1984; Lawrence and
Killner, 1948; McLean and Kilpatrick, 1997a, b; Menon and Wasan, 1988;
Papirer et al., 1982; Shetty et al., 1992; Wasan, 1992; Yan and
Masliyah, 1995a, b). In bottle tests, an emulsion is created and the
volume of the disperse phase resolved over time is observed. To produce
emulsions that will show resolution in a relatively short period of
time, the level of mixing energy must be low, or the composition of the
oil system must be one that produces weak emulsions. Both strong and
weak emulsions resulting from a range of mixing energies and crude
compositions are encountered in actual production and refinery
conditions. Another possibility is to produce emulsions with a high
mixing energy and propensity to emulsify and measure the water resolved
with the application of a centrifugal field. This will produce a range
of resolved water volumes, however this technique is very dependent upon
protocol and only provides relative stabilities. The measure of the
volume of water resolved due to coalescence of water droplets in a high
centrifugal field may not be a true measure of real emulsion strength
(Carroll, 1976). In refinery situations, centrifugation on a large scale
for all emulsions is very expensive and not widely performed. Therefore,
any predictive correlation with this technique as a basis is of limited
value.
Droplet size is commonly measured by means of optical microscopy or
light scattering techniques (Isaacs et al., 1990; Menon and Wasan,
1984). Optical microscopic observations of emulsion samples are
difficult to perform without disturbing the emulsion system. In order to
generate an accurate count and droplet size distribution, the emulsion
droplets must be confined between a glass slide and cover slip to
provide an unobstructed view of one droplet layer. This distorts droplet
size and may result in some droplet coalescence, producing an inaccurate
droplet count and size distribution.
[FIGURE 2 OMITTED]
The use of light scattering techniques is troublesome as well (Boyd
et al., 1972; Carroll, 1976; Mikula, 1992; Parkinson and Sherman, 1972;
Stalss et al., 1991). Petroleum is opaque so a very thin sample of
emulsion must be observed. The observable path length may be very small
for high asphaltene content systems, complicating sample preparation and
observation. The conversion of light scattering data into droplet size
information requires the assumption of a droplet size distribution.
Lastly, light scattering techniques can not distinguish between
coagulated and individual water droplets. In stable petroleum emulsion
systems, many droplet collisions do not result in coalescence and
coagulated droplets are common. With all of these difficulties, light
scattering has somewhat limited value for this application.
The primary mechanism of emulsion stabilization is the formation
and stability of the interfacial film discussed above. Therefore, a
useful, predictive correlation would be one that probes this property
directly. In this study, emulsion stability was quantified with the
determination of the electric field strength required for emulsion
breakdown in w/o emulsions. The technique is based on work by Sjoblom
and co-workers (Fordedal et al., 1995; Fordedal et al., 1996; Sjoblom et
al., 1997a; Skodvin et al., 1994; Skodvin and Sjoblom, 1996) with
modifications in sample cell design, emulsion sampling procedures, and
electronic components. To measure stability, an emulsion sample is
placed between two electrodes and the voltage is steadily increased
(Figure 2). At low voltages, a low level of current is observed due to
conduction through the continuous oil phase. As the voltage is
increased, water droplets begin to coagulate in small chains parallel to
the electric field due to polarization of the water droplets from the
movement of electrolytes in the water phase (Bailes and Larkai, 1982;
Chen et al., 1994). As the voltage is increased further, the small
chains form bridges spanning the entire gap between the electrodes.
Finally, at a certain electric field strength, the electromotive force exerted on the electrolyte ions is sufficient to rupture the interfaces
separating the water droplets. This phenomenon is observed as a large
change in slope of the current versus voltage curve. The electric field
(in kV/cm) at which this occurs is termed the critical electric field
(cef).
The cef is a direct measure of the strength of the asphaltene-resin
interfacial film and is simple to perform. Emulsion droplets encounter
similar forces at the refinery in ac electrostatic coalescers. In these
units, droplets coalesce due to increased collision and thinning of
interfaces as droplets are deformed in an alternating electric field
(Urdahl et al., 1996; Wang and Yan, 1994). In the cef technique, a dc
power supply is used and coalescence does not occur by the same
mechanism, but the important feature, thinning or disruption of the
interface in the presence of an electric field, is identical. Therefore,
no artificial artifacts of the experimental procedure are introduced in
the measure of emulsion stability and it can easily be adapted to field
work and testing. The technique produces a unique number for a given
emulsion and is independent of the choice of experimental conditions
which do not directly affect emulsion stability (gap width, sample size,
etc.), unlike other techniques which are dependent on sample handling
and testing procedures. The cef only depends on variables, such as
temperature, water volume fraction, droplet size distribution, and
asphaltene content, which control emulsion stability. Moreover, we have
discovered that as long as the droplet size distribution is not bimodal with large droplets in the range of 50-100 ?m or more, then the
measurement does not appear to depend on the fine features of droplet
size in the range of 10 [micro]m or less. The measurable range of
emulsion stability is large (0.01-5 kV/cm) and the test is rapid and
reproducible. However, the cef technique does not provide an answer as
to the extent of the water phase that separates upon demulsification.
Neither do we get any information about the stability of the residual
emulsion droplets remaining after field-induced coalescence.
In this study we have used the cef technique to develop a
water-in-petroleum emulsion stability correlation with properties of the
petroleum using information gathered from an investigation of cef in
model oil systems. These tests have been performed at two different
water/oil ratios producing different results. The development of this
correlation has revealed important insight into the driving mechanisms
for asphaltene aggregation and emulsion stabilization. Observations of
cef versus time for many petroleum emulsions have led to the development
of a simple kinetic model for the build-up of the interfacial film due
to asphaltene adsorption that has revealed information on the effects of
asphaltene chemistry and solvency. The similarities of petroleum results
with those of model oils show that the observed effects with petroleum
truly are due to asphaltenic films.
EXPERIMENTAL
Materials
A variety of crude oils were used for this study. Properties
important for emulsion stability are listed in Table 1 for the crude
oils investigated as well as others present in our laboratory. One
important set of properties is the asphaltene and resin content. For the
crude oils studied, these values range from 0.79% to 14.8% (w/w) for
asphaltenes and 3.24 to 20.5% (w/ w) for resins, yielding a relatively
narrow range of resin to asphaltene ratios (R/A = 0.90-4.25, except Alba
(AL), R/A = 6.17). The asphaltene content was measured by precipitation
in n-heptane and the resin content was obtained by sequential elution chromatography of the deasphalted crude adsorbed on silica gel (McLean
and Kilpatrick, 1997a).
Another important set of properties for the crude oils is the
hydrogen to carbon atomic ratio (H/C). This number provides a
quantitative gauge of the aromatic vs. aliphatic nature of a chemical
species (e.g. [H/C.sub.heptane]= 2.29, [H/C.sub.toluene] = 1.14). The
ratios reported in the Table correspond to the whole crude oil, the
asphaltene fraction, the resin fraction, the crude after removing the
asphaltenes (DeA crude), and the difference in H/C of the DeA crude and
asphaltenes ([DELTA] H/C). The hydrogen and carbon contents were
measured by elemental analysis performed by Galbraith Laboratories. The
H/C ratios of the DeA crudes were calculated from hydrogen and carbon
contents of the whole crudes, asphaltenes, and the concentration of
asphaltenes in the whole crude. Elemental analyses of asphaltenes were
performed with a Perkin Elmer 2400 Series II CHNS/O Analyzer.
Other properties reported include density, which varies from 0.833
to 1.01 g/mL, and viscosity, which ranges from 3.14 cP to 2310 cP (3.14
to 2310 mPa-s) at 100[degrees]F (49[degrees]C) (except for SCS, a waxy crude with an unmeasurable viscosity below its pour point). These
properties control the shear field in the oil sample during
emulsification. Droplets formed during emulsification immediately begin
to coalesce as they collide with other droplets if not stabilized by an
asphaltenic film. When emulsification is completed, new droplets are no
longer formed but coalescence continues between unstable droplets.
Asphaltenic films build up over time and resist coalescence to a greater
extent at longer times. The balance between the rates of asphaltene
adsorption and droplet-droplet collisions determines the ultimate
droplet size distribution and stability of the emulsion. As a result,
factors that govern asphaltene and water droplet mobilities in the oil
phase may be important to consider for the development of an emulsion
stability correlation. For the crude oils in this study, density was
measured pycnometrically, the viscosity was measured with a Rheometrics
couette rheometer, and the kinematic viscosity was calculated from these
two numbers.
Deionized water with 1% (w/w) NaCl added was used for creating the
emulsions. The salt was necessary for the measurement of critical
electric field. After NaCl addition, the pH of the water was adjusted to
6 with dilute HCl and NaOH.
Model oils used in this investigation consisted of n-heptane and
toluene with asphaltenes fractionated from Arab Heavy (AH) [also known
as Safaniya] crude oils. All solvents used were HPLC grade and supplied
by Fisher Scientific.
Emulsion Preparation
Prior to emulsification, petroleum was loaded into a metal cylinder
that was sealed and placed in a 100[degrees]C oven for 2 h in order to
erase the thermal history and ensure the complete melting of wax
crystals. The cylinder was then placed in a 60[degrees]C water bath for
30 min, after which a sample was transferred to a polyethylene jar with
the appropriate amount of water (also at 60[degrees]C). Emulsions were
prepared at two different oil/water ratios: 4/6 and 7/3 (v/v). The crude
oil and water were mixed for 5 min (3 min at the level of the original
bulk oil/water interface and 2 min at the bottom of the jar) at 15 000
rpm with a Virtis VirtiShear Cyclone IQ Homogenizer, using a 6 mm
diameter internal shaft rotor/stator assembly with a gap width of 0.127
mm. The mixing was performed in a water bath to maintain the system at
60[degrees]C. After emulsification, the sample was placed in a
60[degrees]C oven until stability testing was performed.
[FIGURE 3 OMITTED]
For model oil experiments, AH asphaltenes were dissolved in toluene
for 2 h. After this period, heptane was added to adjust the solvent to
the appropriate degree of aromaticity. The model oils (referred to as
heptol) varied from 10-60% toluene (v/v) in heptane. After 2 h of
mixing, the appropriate amount of water was added and the mixture was
emulsified for 3 min (2 min at the bulk oil/water interface and 1 min at
the bottom of the jar). The temperature was not controlled for the model
oil experiments because no wax was present as in the crude oil.
Critical Electric Field Measurement
The stability of the water-in-crude oil emulsions was gauged with
critical electric field (cef) measurements. To measure cef, an emulsion
sample was placed in the sample cell (in a 60[degrees]C oven) consisting
of two, 1.0 cm diameter, gold plated, copper electrodes, separated with
Mylar spacers and held in an aluminum casing. Figure 3 shows a side view
of the cell. The cell was designed so the gap width could be varied but
for all of the experiments it was 0.250 mm. Two holes were drilled
through the top for sample introduction. A syringe was used to withdraw
a sample from the middle of the emulsion and inject it through one of
the holes in the cell. The cell was connected to a HP6634B power supply
(0-100 V dc source), controlled by a PC through the use of a HP82350A
interface card. Using this card, the power supply was controlled with a
Visual Basic program.
After loading the sample in the cell, the voltage between the
electrodes was increased in increments of 0.25 V every 5 s and the
current was measured 2 s after every step change (to avoid current
spikes). All of the emulsions for which we have reported cef showed no
water resolved upon visual inspection after a 24 h period. The presence
of resolved water would have indicated an emulsion containing large,
unstable droplets. All of the emulsions tested were relatively stable
and had droplet diameters in the range of 0.5-20 [micro]m. We used the
Sauter mean droplet diameter ([d.sub.32]), defined in Equation (1), as
the measure for droplet size.
[d.sub.32] = [summation] [n.sub.i][d.sub.3.sub.i]/[summation]
[n.sub.i][d.sup.2.sub.i] (1)
In Equation (1), [d.sub.i] is an individual droplet diameter in a
micrograph, measured by optical microscopy and image analysis, and
[n.sub.i] is the number of droplets of that particular size. Typically,
drop diameters of a very narrow diameter range, a so-called bin size,
are grouped together as having a common diameter. Droplet size appears
to be an important parameter in the stability of emulsions gauged by cef
as we will show from the model emulsion results. Because of this
sensitivity to droplet size, the emulsions were always sampled from the
middle of the emulsion. Microscopic observations were performed in
parallel with cef measurements to verify valid sampling procedures. All
of the crude oil systems appeared to have droplet size ranges that were
close enough to ensure valid comparisons from sample to sample. Model
oil emulsion studies were conducted in the same manner except all steps
were performed at room temperature.
Solubility Tests
The solubility of asphaltenes in various solvents was tested by
preparing a 1.5 mL model oil sample with 1% asphaltenes (w/w) and
injecting it through a glass microfibre filter disk attached to the end
of a syringe (1.6 [micro]m pore size). After the sample was filtered
through the disk, a 1.5 mL aliquot of the model oil solvent was pushed
through to rinse any soluble material that may have adsorbed to the
microfibres. The rinse step was performed quickly in order to prevent
solubilization of any previously precipitated material. Both the
filtrate and rinse were collected in a small vial. The asphaltenes in
the syringe tip and vial cap that were not dissolved in the solvent were
rinsed with methylene chloride into the original vial and labelled as
precipitate. The filtrate and precipitate vials were dried in a nitrogen
flushed vacuum oven at 70[degrees]C for 2 d and weighed.
RESULTS AND DISCUSSION
Asphaltene-Stabilized Model Oil Emulsions
60% Water
Initial model experiments were performed with organic solutions of
varying heptane and toluene content, into which asphaltenes from Arab
Heavy crude oil were dissolved. These solutions of varying toluene % and
AH asphaltene content were emulsified with water such that the water
content was 60% (w/o) and then the cef was measured after aging for 24
h. The results, along with the solubility of AH asphaltenes, are shown
in Figure 4. The cef is observed to achieve local maxima with 2 and 3%
asphaltene solutions at a toluene concentration of ca. 40%, very close
to the solubility limit. This maximum in stability shifts to lower
toluene concentrations at an asphaltene concentration of 5%. With the
lower (2-3%) asphaltene concentrations, the maximum stability occurs at
the limit of solubility, the point at which the asphaltenes are most
surface-active and labile due to the fine aggregate size. Beyond the
solubility limit at these asphaltene concentrations, sufficient
inventory of asphaltenes precipitate, producing flocs which are much
more weakly surface-active and insufficiently labile to self-assemble at
the interface producing a strong interfacial film. At higher asphaltene
concentrations (5-7%), the stability achieves a local maximum slightly
beyond the solubility limit because the greater inventory of material
enables the droplets to be better coated with asphaltenic film, despite
the fact that some material precipitates beyond the solubility limit.
This phenomenon is observed with high water content emulsions (e.g. 60%)
in which there is a dearth of asphaltenic material until sufficiently
high asphaltene concentrations are reached (as we will show below).
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
[FIGURE 6 OMITTED]
30% Water
Results of cef for model emulsions produced with AH asphaltene
solutions in heptol and 30% water are shown in Figure 5. Values of cef
for these emulsions were higher than those with 60% water. The total
interfacial area was about the same as that found with 60% water,
however the average droplet size was smaller. Larger droplets may
facilitate droplet chaining between electrodes or droplet coalescence in
the electric field. Similar cef values are observed for 0.5-3% AH
asphaltenes at toluene concentrations above the solubility point, but
are much lower at 0.25% AH asphaltenes. This suggests that there is some
critical concentration of asphaltenes above which interfacial thickness
is large enough to provide a strong barrier for droplet coalescence and
increased asphaltene adsorption above this has little effect on emulsion
stability. As for the 60% water emulsions, we see the maximal cef occurs
at lower toluene concentrations as the asphaltene concentration is
increased. The peak locations are about the same as those observed for
AH asphaltenes with 60% water but in this case more solvent compositions
were probed and more detailed shifts can be observed.
Sjoblom and co-workers (Sjoblom et al., 1997a) obtained slightly
higher cef values with similar types of experiments. For model emulsions
composed of 2% asphaltenes in decane-toluene mixtures, they found cef
values ranging from 2.9 kV/cm at 20% toluene to 0.55 kV/cm at 80%
toluene. Emulsions were unstable at 100% toluene. Details were not
provided of the asphaltene type or water content of the emulsions, but
the magnitude of the cef's and trend with solvent aromaticity they
observed support the results we have obtained here.
Interfacial Film Thicknesses
Droplet sizes generally decreased, for all solvency conditions,
with increasing asphaltene concentration (Figure 6). Generally speaking,
one would expect increasing the toluene concentration to decrease the
interfacial tension and thus reduce the droplet size of water-in-oil
emulsions, all other things being equal. However, as toluene
concentration is increased, the surface activity of the asphaltenes
decreases and this has a greater impact than interfacial tension. All
droplet size data on Figure 6 are for the soluble regime of AH
asphaltenes. As expected, the droplet sizes decreased as asphaltene
concentrations were increased for all of the solvents shown. For cef
testing and droplet size observations, emulsions were sampled from the
middle so the results may not be representative of the overall emulsion.
For all other asphaltene concentrations, the droplet sizes decreased
with concentration up until a critical concentration.
The total water-oil interfacial area, [A.sub.w/o] was calculated
assuming a collection of monodisperse spherical droplets:
[A.sub.w/o] = [N.sub.d][A.sub.d] =
([[PHI].sub.d][V.sub.em]/[V.sub.d]) [A.sub.d] =
3[[PHI].sub.d][V.sub.em]/[R.sub.d] (2)
where [N.sub.d] is the number of water droplets, [A.sub.d] is the
interfacial area per droplet, [[PHI].sub.d] is the volume fraction of
droplets in the emulsion (0.3), [V.sub.em] is the total volume of
emulsion (10 [cm.sup.3]), [V.sub.d] is the volume per droplet, and
[R.sub.d] is the droplet radius. Film masses were calculated assuming
10% adsorption of asphaltenes based on interfacial film studies
performed in our lab at conditions of maximum interfacial activity
(Spiecker, 2001). This number is probably dependent on the asphaltene
solubility conditions, but the range of solvent compositions was small
enough that this is a good approximation.
Figure 7 displays the results of interfacial mass/area calculations
for 45-55% toluene with AH asphaltenes (30% water) and 50% toluene with
HO asphaltenes (60% water). Interfacial masses increased with asphaltene
concentration. The slopes of the lines are similar for all cases for
asphaltenes in the soluble regime. For HO asphaltenes in 50% toluene,
cef did not increase past 2% asphaltenes due to solubility limitations.
All of the trends with AH asphaltenes are linear up to 3%. These results
are consistent with the solvency of the asphaltenes observed in previous
experiments (Figures 4 and 5). Figure 8 displays cef versus interfacial
mass/area for all of the solvency conditions in Figure 7. The cef
increased with interfacial mass/ area up to about 1.50 mg/[m.sup.2],
above which the cef was a weak function of interfacial mass/area. To
calculate a rough estimate of the extent of interfacial coverage in
these emulsions, we assumed an asphaltene molecular weight of 1000
g/mole and asphaltene molecular dimensions of 0.5 nm thick with a
diameter of 2.0 nm. The molecular weight of asphaltenes has been an
extensively researched subject (Acevedo et al., 1985; Acevedo et al.,
1992; Ali and Saleem 1988; Ali et al., 1990; Al Jarrah and Al-Dujaili,
1989; Calemma et al., 1995; Cyr et al., 1987; McKay et al., 1978; Storm
et al., 1990). Many techniques including, vapour pressure osmometry, gel
permeation chromatography, viscometry, and mass spectrometry have been
utilized to measure molecular weights with widely varying results.
Numbers from 900 to 18 000 g/mole, have been recorded, with the lowest
values found with the best solvents. An asphaltene molecular weight of
1000 g/mole was used in our analyses because it is at the low end of
observed weights and probably corresponds to individual asphaltene
molecules. The asphaltene molecular dimensions used were taken from
x-ray diffraction results of Yen (Yen, 1992). We assumed an imperfect
stacking of asphaltenes so the asphaltene stack diameter (25 [Angstrom])
is 25% larger than that of the individual molecule (20 [Angstrom]). With
these assumptions, the number of molecules corresponding to the
interfacial thickness, [n.sub.A,stack], was calculated:
[[GAMMA].sub.A] = [m.sub.A,ads]/[A.sub.w/o] =
[[omega].sub.A,ads][m.sub.A,oil]/[A.sub.w/o] =
[[omega].sub.A,ads]([w.sub.A,oil][[rho].sub.oil][V.sub.oil])/[A.sub.w/o]
(3)
[n.sub.A,stack] = [[GAMMA].sub.A][N.sub.A]/[MW.sub.A] [A.sub.stack]
= [[GAMMA].sub.A][N.sub.A]/[MW.sub.A] ([pi][R.sup.2.sub.stack]) (4)
where [[GAMMA].sub.A] is the asphaltene surface concentration,
[m.sub.A,ads] is the adsorbed mass of asphaltenes, [m.sub.A,oil] is the
mass of asphaltenes in the oil phase, [V.sub.oil] is the volume of the
oil phase (7 [cm.sup.3]), [[rho].sub.oil] is the mass density of the oil
phase (0.9 g/[cm.sup.3]), [[omega].sub.A,ads] is the fraction of the
bulk asphaltene mass that reports to the interface (assumed to be 0.1),
[w.sub.A,oil] is the weight fraction of asphaltenes in the oil phase,
[N.sub.A] is Avogadro's number, [MW.sub.A] is the molecular weight
of the asphaltenes (taken to be 1000 g/mol here) and [R.sub.stack] is
the stack radius as estimated above (12.5 [Angstrom]). Evaluating
[n.sub.A,stack] using these values, we obtain 4.4 molecules per stack,
which seems reasonable given previous estimations that asphaltene
aggregates consist of about 5 molecules in the best solvent conditions
(Yen, 1992), so the critical interfacial concentration appears to be
roughly a monolayer of asphaltene aggregates. The calculated interfacial
thicknesses in terms of number of molecules are displayed in Figure 8.
[FIGURE 7 OMITTED]
[FIGURE 8 OMITTED]
Kinetic Model for Interfacial Film Formation
All of the cef measurements reported up until now were performed 24
h after emulsification. Greater differences among the various asphaltene
concentrations were shown at shorter times in which the asphaltenic film
did not have time to reach the critical thickness. Figure 9 shows cef
results for model emulsions at various times from approximately 15 s to
24 h after emulsification. The cef for emulsions with 1% asphaltenes at
40% toluene changed very rapidly during the first half hour and slowly
at longer times. The cef was 1.04 kV/cm after 30 min and reached 1.24
kV/cm after 24 h. For 0.5% asphaltenes and 40% toluene, the cef value
did not change in the first 30 min, but then the change in cef with time
was very similar to that observed for 1% asphaltenes. At short times,
the concentration of adsorbed asphaltenes was too low to stabilize
droplets and asphaltenes adsorbed to the interface but did not
appreciably affect emulsion stability. After 30 min, the coverage
reached a high enough concentration that increased adsorption led to
increased stability at the same rate as the 1% asphaltene, 40% toluene
condition. The results obtained for 1% asphaltenes and 50% toluene were
very different from either of the 40% toluene results. In this case the
cef increase was much more gradual over the whole 24 h period.
[FIGURE 9 OMITTED]
The results for the model systems are similar in nature to those
obtained by Sjoblom and co-workers (Mouraille et al., 1998). Using a
50:50 mixture of "condensate F" and water with various
combinations of asphaltenes and resins (0.9-5% A, 110% R), they observed
cef over a period of one week. Measured cef values were found to
generally increase over the whole aging period, with the majority of the
increase occurring in the first day. The maximum electric field measured
was 2.00 kV/cm, and is comparable to our findings.
The model for asphaltene adsorption and the stabilization of
water-oil interfaces consists of two processes. First, the adsorption of
asphaltene aggregates (A) to the interface, and second, the
consolidation of the adsorbed asphaltenes into a rigid, cross-linked,
interfacial structure (Jeribi et al., 2002). The adsorption mechanism is
as follows:
[FORMULA EXPRESSION NOT REPRODUCIBLE IN ASCII] (5)
The terms in parentheses are the concentrations of asphaltenes at
each condition. Bulk asphaltenes undergo Fickian diffusion to the
interface where they immediately adsorb. The adsorbed asphaltenes then
consolidate to form an interfacial film. Film consolidation involves the
combination of an unconsolidated asphaltene molecule with the
consolidated film. The adsorption and consolidation steps, when
asphaltenes are adsorbing, are assumed to be irreversible and have rate
constants of [k.sub.a] and [k.sub.c], respectively. This process is
modelled with the following set of differential equations:
[d[GAMMA].sub.1]/dt = [k.sub.a][c.sup.s.sub.A]([[GAMMA].sub.MAX] -
[[GAMMA].sub.1] - [[GAMMA].sub.2])-
[k.sub.c][[GAMMA].sub.1][[GAMMA].sub.2] (6)
[d[GAMMA].sub.2]/dt = [k.sub.c][[GAMMA].sub.1][[GAMMA].sub.2] (7)
where [c.sup.s.sub.A] = [2c.sup.bulk.sub.A][(Dt/[pi]).sup.1/2] (8)
and D = kT/6[pi][eta]R (9)
[[GAMMA].sub.max] is the maximum concentration of asphaltenes that
can adsorb to the interface, [c.sub.A.sup.bulk] is the concentration of
asphaltenes in the bulk oil phase, D is the diffusivity of asphaltenes
in the oil, k is Boltzmann's constant, ??is the viscosity of the
oil, and R is the radius of asphaltene aggregates. The equation for
concentration of asphaltenes near the interface was derived from
Fick's law for diffusion assuming the bulk concentration remained
constant. For the calculation of asphaltene diffusivity, the aggregate
diameter was assumed to be 20 [Angstrom] and is based on observations of
Yen in model oil systems. As asphaltenes adsorb, the driving force for
further adsorption is reduced due to asphaltene-asphaltene repulsion and
shielding of the water phase. This is accounted for with the saturation
term, [[GAMMA].sub.max]. Under conditions of identical dispersed water
content, we assume cef is proportional to the total amount of adsorbed
asphaltenes. The data show that cef increases very rapidly at first
followed by a more gradual increase with time, suggesting that adsorbed
asphaltenes immediately provide emulsion stability and consolidation
contributes to a lesser extent over a long time period. To model this
behaviour we set cef equal to a linear combination of [[GAMMA].sub.1]
and [[GAMMA].sub.2]:
cef = [[alpha].sub.1][[GAMMA].sub.1] +
[[alpha].sub.2][[GAMMA].sub.2] (10)
[[alpha].sub.1] + [[alpha].sub.2] = 1 (11)
The cef value at the first point (3 min) was fit by assuming
[[GAMMA].sub.1] and [[GAMMA].sub.2] were equal at that time. The values
of [[GAMMA].sub.1] and [[GAMMA].sub.2] were then calculated:
cef(3 min) = ([[alpha].sub.1] min)[[GAMMA].sub.1] (3 min) +
[[alpha].sub.2][[GAMMA].sub.2] (3 min) (12)
[[GAMMA].sub.1] (3 min) = cef(3
min)/[[alpha].sub.1]+[[alpha].sub.2] = [[GAMMA].sub.2](3 min) (13)
[[GAMMA].sub.1] (3 min) = [[GAMMA].sub.2](3 min) = cef(3 min) (14)
To calculate [[GAMMA].sub.max], the interface was assumed to be
saturated with consolidated asphaltenes at 24 h.
cef(24 h) = [[alpha].sub.2][[GAMMA].sub.2](24 h) = [[alpha].sub.2]
[[GAMMA].sub.max] (15)
[[GAMMA].sub.max] = cef(24 h)/[[alpha].sub.2] (16)
The assumption that the contributions from [[GAMMA].sub.1] and
[[GAMMA].sub.2] to the magnitude of critical electric field at 3 min
(the first measurement time) is arbitrary but comports with experimental
observations and appears to provide a self consistent way of managing
these unknown quantities. It also stands to reason that there should be
much more "unconsolidated" asphaltenes, i.e., [[GAMMA].sub.1]
at short time and because the weighting factor for it is much less than
[[GAMMA].sub.2] that they might contribute approximately equally at
short time.
The above set of equations could not be solved analytically.
Runge-Kutta numerical methods were used to generate a series of
parametric curves in which the parameters were systematically varied to
find the best fit with the data. The best [k.sub.a]/[k.sub.c]
combinations for several values of [a.sub.1] and [a.sub.2] were obtained
by minimizing the sum of the squares of the differences between the
experimentally measured cef and model prediction values for all times.
For all model and crude oils, values of 0.2 and 0.8 for [[alpha].sub.1]
and [[alpha].sub.2], respectively, provided a good fit to the data.
The kinetics of three different model systems were investigated:
0.5 and 1.0% AH asphaltenes in 40% toluene, and 1.0% AH asphaltenes in
50% toluene. The model was unable to predict a high enough rate of
adsorption to account for the very rapid cef increase for 0.5 and 1.0%
AH asphaltenes in 40% toluene. At these conditions, the driving force
for asphaltene adsorption is very large due to the large chemical
mismatch and high concentration of precipitated aggregates. The
lyophobic forces associated with the asphaltene aggregates in these
conditions may not be accounted for in the model. The fit of the model
to the 1.0% AH asphaltene in 50% toluene results provided a [k.sub.a] of
0.8 [cm.sup.3][min.sup.-1][g.sup.-1] and a [k.sub.c] of 0.02
[min.sup.-1].
From model emulsion studies we have confirmed the importance of the
cef technique and we have demonstrated the validity of the assumption
that the magnitude of the cef depends directly on the interfacial film
thickness (see Figures 7 and 8). We have also proposed a kinetic model
for interfacial film formation that fits the data, and we have learned
the importance of asphaltene concentration and solvency as gauged by
[DELTA]H/C on emulsion stability. We will now use these findings to
develop a correlation for petroleum emulsion stability and to discover
the parameters that govern interfacial film development.
Petroleum Emulsions
Determination of Petroleum Emulsion Stability Correlation
Measurements of cef were performed for emulsions prepared with 30%
water (v/v) for 12 different petroleums after aging for 24 h. All 12
petroleums produced emulsions that were at least stable to gravity over
the 24 h aging period. The decreased water content led to greater
distances between emulsified water droplets immediately after
homogenization, resulting in lower droplet-droplet collision
frequencies, allowing longer times for interfacial film development.
Based on the model oil emulsion results, we know asphaltene solvency
plays a large role in emulsion stability. Additional correlations in
which resin content appeared with a negative exponent and the difference
between the H/C ratio of the asphaltenes and petroleum solvent appeared
with a positive exponent were attempted. By "petroleum
solvent," what we mean here is all of the petroleum fluid excepting
the "asphaltene solute," or more specifically, the so-called
maltenes in the petroleum. The dependence of cef on the product of
asphaltene concentration and [DELTA] H/C for petroleum emulsions,
prepared with 30% water (v/v), after 24 h of aging, is displayed in
Figure 10. A correlation coefficient of 0.88 was obtained when South
China Sea crude was included. Much of the deviation from linearity is
attributable to high value of cef for the emulsion obtained from this
crude oil (South China Sea or SCS). This particular crude contains over
32% wax. The experiments were performed at 60[degrees]C, but a small
percentage of the wax in SCS may be precipitated at this condition.
Alternatively, the extent of asphaltene solvation, as measured by
[DELTA] H/C, in SCS may not be comparable to that found in the other
crudes. The effect of the long paraffinic wax molecules in SCS on
asphaltene solubility differs significantly from the effect of a
shorter, normal alkane which is not accounted for with the H/C ratio.
For example H/ C's of n-decane and n-triacontane (C30) are very
similar (2.20 vs. 2.07, respectively) despite the fact that they differ
by twenty carbons and result in differences in asphaltene solubility
(longer alkane chains solubilize asphaltenes better than shorter ones).
[FIGURE 10 OMITTED]
Therefore, SCS was removed from the correlation and the coefficient
improved from 0.88 to 0.95. It should be noted that the data point
corresponding to this crude oil, SCS, does not appear in Figure 10. The
correlation does not pass through the origin, suggesting that, with
crude oils, there are factors other than asphaltene content that
contribute to emulsion stability and that these factors may predominate
at very low asphaltene content. We estimate the extent of asphaltene
interfacial coverage in these emulsions using:
[N.sub.AA] = [m.sub.A,ads][N.sub.A]/[n.sub.A,agg] (17)
[S.sub.AA] = [pi][R.sup.2.sub.AA] (18)
[S.sub.ads] = [S.sub.AA][N.sub.AA] (19)
[THETA] = [S.sub.ads]/[A.sub.W/O] (20)
where [N.sub.AA] and [S.sub.AA] are the number and cross-sectional
area of asphaltene aggregates, respectively, [n.sub.A,agg] is the number
of asphaltene molecules per aggregate, assuming columnar stacking of
asphaltene molecules in groups of five (Yen, 1992), and [R.sub.AA] is
estimated asphaltene aggregate radius (20 [Angstrom]). Here [S.sub.ads]
is the total surface area covered by asphaltenes, [THETA] is the
asphaltene fractional surface coverage, and [A.sub.w/o] is the total
water-oil interfacial area calculated using Equation (2). The asphaltene
concentration, [w.sub.asph,oil], varied among the crudes used in this
study, from 0.79 to 14.8 wt%, corresponding to monolayer coverage of
droplets with diameters of 9 to 0.5 [micro]m, respectively. Size
distributions were troublesome to perform for petroleum emulsions and
prone to significant errors because the emulsions were opaque. Droplet
counts were not performed as for the model emulsions, but qualitative
observations were made. All of the emulsions appeared to have average
diameters a little greater but close to these values. The smallest
droplets observed in our experiments were about a micron in diameter,
implying that this was the predominant size immediately after
emulsification before any coalescence occurred. At this point,
coalescence was fast and droplet diameters increased rapidly, because
the extent of interfacial coverage was low. As droplet diameters
increased, the interfacial area decreased, yielding a higher fractional
coverage, [THETA]. At long times the coalescence rate became very small
as multi-layered interfacial films covered the entire interfacial area.
Given the fact that asphaltene interfacial adsorption is not
instantaneous, it is not surprising that the actual droplet size
distribution is slightly larger than that predicted from monolayer
coverage. All of the systems reported here are within the range of what
we would term the "minimum drop size distribution" possible
and are controlled by the extent of interfacial film formation rather
than the extent of mixing.
The above correlation provides a remarkably good fit to the data
without involving many petroleum characteristics considering the large
variety of samples studied and possible correlating parameters. Resins
play a large role in the solubilization of asphaltenes and would be
expected to have a large impact on emulsion stability. All of the
petroleums included in the correlation have R/A values within a
relatively narrow range (0.924.25, except for Alba (AL) = 6.17) and the
extent of resin solvation of asphaltene aggregates may be fairly
uniform. For petroleum with very different R/A values, emulsion
stability may be affected differently with variation of the asphaltene
concentration or [DELTA] H/C.
[FIGURE 11 OMITTED]
[FIGURE 12 OMITTED]
Fit of Petroleum Emulsion Stability to Kinetic Model
The correlation is very encouraging and may serve the industry well
in predicting long-time emulsion stability of water-in-crude oil systems
at conditions in which wax issues are unimportant. In order to discover
information on the kinetics of asphaltene adsorption, critical electric
fields for all petroleums with 30% water were determined at various
times from 3 min to 24 h after emulsification and the results are
displayed in Figures 11 and 12. The data points represent the measured
cef values while the lines are the predicted trends obtained from
fitting the data to the kinetic model. The optimized fit parameters are
listed in Table 2.
The emulsion stability data fit the model reasonably well. Some
crudes showed a significant decrease in cef at short times followed by
an eventual increase to the 24 h value. This was probably due to droplet
settling rather than a weakening of the interfaces at short times.
Immediately after emulsification, all droplets were small. As these
small droplets coalesced, larger droplets formed and fell to the bottom
of the emulsion. In crude oils with high viscosities or densities close
to that of water, this settling occurred slowly, consequently, at short
times larger droplets were used for cef testing when the sample was
withdrawn from the middle of the emulsion. As a result, the water to oil
ratio in the sample cell was higher and the measured cef was lower for
these emulsions. This was also observed for some petroleums which were
not as viscous and was probably due to sampling the emulsion from the
wrong level. The rate constants from the model fits for B6 and CS were
not used for further analysis because the experimental difficulties
produced results that could not be fit well to the model. The data for
AB show a lag time before a cef increase, similar to that observed for
0.5% AH asphaltenes in 40% toluene that may be due to its low asphaltene
concentration (0.79%). The low bulk asphaltene concentration led to low
concentration of adsorbed asphaltenes at short times and no increase in
emulsion stability. After the first 30 min, the concentration of
adsorbed asphaltenes was high enough to provide increased stability over
the initial value, and cef increased at a rapid rate. At long times, the
cef drops, probably due to sampling error. The 24 h cef was assumed, for
model fitting purposes, to be 0.07 kV/cm greater than the 6 h value
based on results for most of the other petroleums.
The dependence of [k.sub.a] on R/A of the crude oils is shown in
Figure 13. The value of [k.sub.a] increases with R/A. Asphaltene
aggregates are more solvated at higher values of R/A and consequently
are smaller. Smaller aggregates are more mobile and adsorb to the
water-oil interface faster because they are more influenced by
interfacial forces. For the purpose of fitting the overall cef data,
resin concentration is not as important, suggesting that the major
mechanism by which resins control emulsion stability is the modification
of the driving force for adsorption of near interfacial asphaltenes.
[FIGURE 13 OMITTED]
[FIGURE 14 OMITTED]
The qualities of the fits indicate this is an adequate model to
describe the kinetics and is physically meaningful. A few important
inferences can be drawn from these fits: (1) water droplets are
stabilized very rapidly by adsorption of asphaltenes to yield an
emulsion system which requires a significant electric field to induce
coalescence; (2) a longer consolidation process occurs during which the
asphaltenic film undergoes conformational changes which produce a
stronger interfacial film. The length scale for asphaltene diffusion
from the bulk to the oil-water interface in these well-mixed systems is
small enough that the viscosity or density of the oil phase probably has
a very small effect on the long time stability of the emulsion and the
differences between petroleums is due to asphaltene interactions with
the interface.
Sjoblom and co-workers (Mouraille et al., 1998) investigated the
effect of aging on crude oil systems which were diluted with various
amounts of solvents (0-50% added) including "condensate F"--a
mixture of alkanes and aromatics, heptane, 50% heptane/50% toluene, and
toluene. For all of the systems, they observed no effect on cef for
emulsions with 20% water tested immediately after homogenization versus
those aged one week. The stabilities ranged from 2.3 kV/cm for pure
crude oil to about 0.5 kV/cm for crude oil diluted with 50% toluene.
Both these results and the ones we have obtained confirm that the
kinetics of asphaltene-film stabilization in crude oil systems is rapid.
Petroleum Blends: Emulsion Stability and Interfacial Film Formation
Kinetics
The cef was measured for emulsions produced with AB/HO blends with
30% water. The results are shown in Figure 14 as cef vs. % A x [DELTA]
H/C plot. The data do not fall on the whole crude stability correlation,
but show increased stability over the whole range of compositions. The
largest increase relative to the petroleum correlation is found for high
AB content blends. We investigated the kinetics of interfacial film
formation for each blend composition using the kinetic model in order to
understand the discrepancies between the petroleum and blend data. The
fitted kinetic parameters are listed in Table 3. The dependence of
[k.sub.a] and [k.sub.c] on % A x [DELTA] H/C is shown in Figure 15. The
values of [k.sub.a] and [k.sub.c] peak at 5% HO, the point at which
emulsion stability deviates the most from the petroleum correlation.
This result indicates that the positive deviations in emulsion stability
were due to increased mobility and adsorption rate of the asphaltene
aggregates at the water-oil interface as well as more rapid
consolidation. When a small amount (1-5%) of HO was added to AB, the H/C
value of the DeA crude did not substantially change from the value for
AB, but the H/C value and concentration of the asphaltene fraction
changed significantly due to the high asphaltene concentration in HO
(14.8%) relative to AB (0.79%). HO asphaltenes were better dispersed in
the blend solvent and the resulting asphaltene mobility was much higher
than expected based on a simple ideal mixing assumption, producing
deviations from the petroleum correlation.
The asphaltene adsorption rates in the model emulsions with AH
asphaltenes in 40% toluene were relatively high for similar reasons as
observed for those in blends with low concentrations of HO in AB. AH and
AB asphaltenes are both highly aromatic asphaltenes (low H/C). In both
the low HO blends and 40% toluene model oils, the H/C ratio of the
solvent was higher than the original solvent the asphaltenes were
dissolved in, and significant aggregation occurred providing a high
driving force for interfacial adsorption.
[FIGURE 15 OMITTED]
CONCLUSIONS
Critical electric field measurement is a good technique to
quantitatively gauge emulsion stability. We have applied the critical
electric field technique to model emulsions and revealed the importance
of asphaltene solvency to emulsion stability. We have shown conclusively
with these tests that both the asphaltene concentration and
solvent-asphaltene chemical mismatch are key parameters for determining
emulsion stability. The correlation of interfacial mass with cef has
revealed a critical extent of interfacial coverage, above which,
emulsion stability is less affected by adsorbed asphaltenes. These
studies have shown that cef truly is a direct probe of the interface. We
have also developed a kinetic model for emulsion stabilization due to
asphaltene adsorption. With this model, we have shown stabilization to
be due to asphaltene adsorption followed by consolidation to form an
interfacial film.
The ability to probe the strength of the interfacial film directly
has resulted in clear and very understandable correlations for
water-in-crude oil emulsion stability with characteristics of the system
which control asphaltene interfacial adsorption. The correlations
developed have a tremendous amount of physical and chemical research
behind them. The results are physically appealing and remarkably simple.
The kinetic model has revealed information on the stabilization of
petroleum emulsions. Asphaltene aggregates that are more solvated by
resins or the petroleum solvent adsorb more rapidly to the interface.
The long time emulsion stability is dictated by overall crude oil
properties, which are asphaltene-solvent chemical mismatch and
asphaltene concentration. The similar behaviour of the crude and model
oil systems with asphaltenes alone, verified that asphaltene adsorption
to the water-oil interface is the primary mechanism responsible for
crude oil emulsion stability. The differences when resins are added
suggest some key property for emulsion stabilization is missing in model
oils. This property is probably viscosity. In order to better
investigate the kinetics of film formation a better model oil system
needs to be found which better simulates petroleum behaviour.
It is very noteworthy that a simple correlation was found for
petroleum emulsion stability considering the huge variety of petroleum
properties and enormous number of potential parameters. This indicates
that despite the complexity of petroleum, by conducting a careful, well
thought out analysis, utilizing knowledge of petroleum chemistry and
model oil emulsion results, the key parameters for petroleum emulsion
stability can be identified. There are some issues that remain
unaddressed. Is it possible to extend the cef technique to lower
temperatures and for crudes in which wax solvency and precipitation
plays a role? Can we extend the correlation to refinery emulsions
(specifically desalters and API separators) in which inorganic solids
(iron sulphide, iron oxide, calcium carbonate, etc.) can be present at
levels of 1-5+% (w/w)? How should the correlation account for rapidly
changing solvent conditions when crudes are blended? With crudes of
higher R/A, such as SF, MI, and GM, blending with a very stable crude
with a much lower R/A, such as HO, B-4, or B-6, will likely yield crude
blends in which % resin will enter into the correlation. There are many
possible directions to follow in this research effort. Based on the
results of this investigation so far we are optimistic about future
studies.
ACKNOWLEDGEMENTS
The authors would like to thank Dr. P. Matthew Spiecker for
performing some of the solubility work and providing information on
interfacial film masses that aided in the calculations of film
thickness. We are also grateful to the Petroleum Environmental Research
Forum for funding this work through grants 95-02 and 97-07 and to the
National Science Foundation for funding this work through research grant
CTS-9817127. JS would like to thank the Norwegian Research Council (NFR)
and his oil consortium for financial support.
Manuscript received June 8, 2007; revised manuscript received
September 28, 2007; accepted for publication August 8, 2007.
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Andrew P. Sullivan (1), Nael N. Zaki (1), Johan Sjoblom (2) and
Peter K. Kilpatrick (1) *
(1.) Department of Chemical and Biomolecular Engineering, North
Carolina State University, Raleigh, NC, U.S.A. 27695-7905
(2.) Ugelstad Laboratory, Department of Chemical Engineering,
Norwegian University of Science and Technology, N-7491 Trondheim, Norway
* Author to whom correspondence may be addressed. E-mail address:
peter_kilpatrick@ncsu.edu
Table 1. Summary of crude properties
Crude %A (a) %R (b) R/A
Arab Hvy II (AH) 6.68 7.46 1.12
Arab Berri (AS) 0.79 3.24 4.10
Alaska North Slope (ANS) 3.38 8.72 2.58
San Joaquin valley (SJV) 4.56 19.4 4.25
B-4 13.6 12.2 0.90
B-6 13.1 12 0.92
Alba (AL) 1.64 10.1 6.17
Malu Isan (MI) 0.18 4.86 27.0
Sour Maya (SM) 11.5 11 0.95
Canadon Seco (CS) 7.5 8.94 1.19
Statfjord (SF) 0.09 4.02 42.6
Gulf of Mexico (GM) 0.31 5.02 16.2
South China Sea (SCS) 3.46 6.05 1.75
Thums 1 (TH1) 5.09 18.7 3.67
Thums 2 (TH2) 3.31 12.5 3.77
Hondo (H0) 14.8 20.5 1.39
H/C H/C H/C
Crude Whole (c) A (c) R (c)
Arab Hvy II (AH) 1.683 1.080 1.372
Arab Berri (AS) 1.814 1.020 1.349
Alaska North Slope (ANS) 1.710 1.057 1.408
San Joaquin valley (SJV) 1.518 1.170 1.38
B-4 1.593 (i) 1.222 1.514
B-6 1.553 (i) 1.224 1.536
Alba (AL) 1.651 1.144 1.433
Malu Isan (MI) 1.913 1.333 1.499
Sour Maya (SM) 1.615 1.087 1.410
Canadon Seco (CS) 1.680 1.028 1.376
Statfjord (SF) 1.844 1.289 1.412
Gulf of Mexico (GM) 1.782 1.117 1.374
South China Sea(SCS) 1.867 1.353 1.386
Thums 1 (TH1) 1.696 1.153 1.455
Thums 2 (TH2) 1.690 (i) 1.178 1.442
Hondo (H0) 1.667 1.248 1.508
[DELTA] Density
H/C H/C (g/mL)
Crude DeA (d) (DeA-A) @60F (e)
Arab Hvy II (AH) 1.725 0.645 0.946 (h)
Arab Berri (AS) 1.820 0.800 0.838
Alaska North Slope (ANS) 1.732 0.675 0.889
San Joaquin valley (SJV) 1.535 0.365 0.979
B-4 1.667 0.445 0.935
B-6 1.618 0.394 0.935
Alba (AL) 1.659 0.515 0.940
Malu Isan (MI) 1.914 0.581 0.845
Sour Maya (SM) 1.682 0.595 0.919
Canadon Seco (CS) 1.734 0.706 0.903
Statfjord (SF) 1.845 0.556 0.833
Gulf of Mexico (GM) 1.784 0.667 0.870
South China Sea (SCS) 1.886 0.533 0.858
Thums 1 (TH1) 1.726 0.573 0.952
Thums 2 (TH2) 1.718 0.50 1.01 (h)
Hondo (H0) 1.738 0.490 0.938
Viscosity Kin Visc
@100F @100F
Crude (CP) (f) (cst) (g)
Arab Hvy II (AH) 33.8 35.7
Arab Berri (AS) 4.39 5.24
Alaska North Slope (ANS) 12.8 14.4
San Joaquin valley (SJV) 1390 1420
B-4 2310 2470
B-6 2030 2170
Alba (AL) 136 145
Malu Isan (MI) 38.2 45.2
Sour Maya (SM) 75 81.6
Canadon Seco (CS) 70 77.5
Statfjord (SF) 3.14 3.77
Gulf of Mexico (GM) 7.11 8.17
South China Sea (SCS) -- --
Thums 1 (TH1) 152 160
Thums 2 (TH2) 656 650
Hondo (H0) 363 387
(a) = n-heptane precipitation
(b) = sequential elution chromatography
(c) = combustion and GC analysis (Galbraith Laboratories)
(d) = calculated from combustion and GC analyses of whole crude, A,
and R {H,C = whole(H,C)%[A.sup.*][A(H,C)])}
(e) = from assays (supplier of crude)
(f) = rheology (stress rheometer, couette geometry)
(g) = dynamic viscosity/density
(h) = pycnometry
(i) = corrected numbers based on assumption 100-%C-%H=%O from water
in crude sample (for high water content crudes)
Table 2. Model parameters for crude oil emulsions
([[alpha].sub.1] = 0.2, [[alpha].sub.2] = 0.8)
Crude oil [k.sub.a] ([cm.sup.3] [k.sub.c] (x[10.sup.3]
[min.sup.-1][g.sup.-1]) [min.sup.-1])
AB 2.5 6
AH 0.1 3
AL 1.2 3
ANS 3.9 2
B4 1.2 4
B6 0.3 5
CS 4.8 9
HO 0.1 16
SCS 10 2
SJV 2.6 2
SM 0.8 4
TH1 0.3 4
Table 3. Model parameters for crude oil blend emulsions
([[alpha].sub.1] = 0.2, [[alpha].sub.2] = 0.8)
%HO in AB/HO [k.sub.a] ([cm.sup.3] [k.sub.c] (x[10.sup.3]
[min.sup.-1][g.sup.-1]) [min.sup.-1])
0.0 2.5 6
1.0 4.8 7
5.0 14 67
11.4 0.2 20
18.0 0.6 23
25.0 1.0 4
50.0 1.2 6
75.0 1.9 4
100 0.1 16