Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Electrocoalescence of Drops in a Water-in-Oil Emulsion Jorunn Holto, Gunnar Berg and Lars E. Lundgaard SINTEF Energy Research AS, Sem Saelands vei 11, 7465 Trondheim, Norway Abstract- Electrocoalescence of water drops in a stagnant water-in-oil emulsion has been studied in a newly developed test cell. An homogeneous electric field was applied across the emulsion volume. It was used to observe drop behaviour in a multi-drop system. The emulsion was made of napthenic oil containing chemically stabilized water drops with size in the range of 5-100 µm. Insulated electrodes were used to prevent direct charge injection and electrophoresis. Drop dynamics in the stagnant emulsion was observed by use of a high speed optical camera and high resolution optics. Three parameters were varied systematically: water cut, frequency and amplitude of the bipolar square voltage. Different events during electrocoalescence are described and discussed, including dynamics of both collapse and break-up of drops, chain formation and charge transfer in the emulsion. Destabilization of emulsions is a costly and difficult process, and an important commercial problem. Crude oil usually contains some vol% of water distributed as water drops, which should be removed before further processing takes place. It can be achieved in large separation tanks, as water will sink to the bottom because of having higher density than oil. However, this is a slow process, especially for small droplets. To make the process more efficient merging of drops into larger ones is beneficial, and for this purpose electrocoalescence is a viable alternative. However, to make the technique more efficient a more basic understanding of the processes and their voltage- and frequency dependence is desired. I. BACKGROUND Application of an homogeneous electric field E across a water-in-oil emulsion results in two main types of electrostatic forces [1]: Drops with a net charge q will experience an electrophoretic force F=qE. For drops with no net charge dielectrophoretic forces dependent on material properties will occur in an inhomogeneous electric field, here formed around drops. As water has a much higher dielectric permittivity than oil positive dielectrophoretic forces will draw the water drops together. The relative effect of both forces depends on frequency, voltage magnitude and distance between drops. In addition mechanical forces caused by gravity, inertia and viscous effects both inside the drop itself and in the surrounding media play a role. An homogenous background field will polarise the drops, with 978-1-4244-4559-2/09/$25.00 ©2009 IEEE direction of the dipole moment opposing the field direction. The drops are stretched to ellipsoids, and later at high electric field disruption of the drops will occur. For a clean system under dc stress the instability occur when E is higher than the critical field strength Ec for maximum stable elongation of a drop [2] 0,648 2 where γ is surface tension, r is the drop radius, ε0 and εoil is the permittivity of vacuum and oil respectively. No analytical expressions are readily available for calculation on the effect of electrostatic forces in a system consisting of more than two drops. Numerical solutions are possible, but demand a lot of data force. In a multi-drop system drops tend to form chains which may result in breakdown when bridging the electrode gap, unless the electrodes are covered by a solid insulation. The trajectory of drops relative to each other and the forces exerted on neighbouring drops has been studied experimentally and modelled [2]. Coalescence between drop pairs depends on their inter-distance and alignment relative to the background field [1]. Normally it is assumed that the drops in an emulsion are charge neutral, as the charge relaxation time constant of a crude oil is short [1]. The destabilisation of drops in an emulsion can be described by three processes [3]: First, flocculation of drops assisted by applied field and shear forces. Second, fusing or coalescence of drops thus increasing the drop size. Finally, phase separation, either by creaming or sedimentation depending on the density difference between the two phases in the emulsion. Coalescence itself can be described by three different steps [4]: Collision of two drops followed by drainage of the oil between the drops and finally destabilization of the interfacial film leading to rupture. The objective of this work is to present an initial study on the behaviour of a multi-drop system in a new test cell designed for studies of both stagnant and flowing emulsions when applying homogenous electric field. Here only results in stagnant emulsions are presented. II. EXPERIMENTAL SETUP To allow observation of an emulsion during application of an electric field a cell with three axes was designed, as outlined in Fig. 1. The emulsion was inserted along the yaxis, while electric field was applied along the z-axis and the events was than observed horizontally along the x-axis. Emulsion was made of a naphtenic model oil (Nynäs Nytro 10XN) mixed with saline water (3,5wt% NaCl). The emulsion was chemically stabilised using 500 ppm of Sorbitan Monooleate (Span®80). A shaking table was used to make the emulsion. The test matrix is presented in Table 1, showing the combinations of water cut, frequency and magnitude of the applied voltage which were used. The emulsion was observed using shadow-graphic techniques with collimated background light from a LEDsource. Events were recorded in 8 second sequences using a Phantom V4 high speed CMOS camera, with a resolution of 512×512 pixels which for this magnification corresponded to a 1×1 mm section of the gap. The electrode separation was 3 mm and the width of the emulsion volume along the x-axis was 2 mm. The electrodes were insulated using transparent paint. Bipolar square ac voltage was used to keep the electric forces on the drops constant (F E02) and to avoid a voltage drop across the insulating film which would have occurred for dc conditions. During earlier experiments the critical electric field for disintegration of singular drops was found to be lower by use of such a voltage shape compared to a sinus or triangular voltage [1]. Fig. 2. Picture of the experimental cell used for application of voltage on water-in-oil emulsion. TABLE 1 TEST MATRIX USED DURING EXPERIMENTS Variable Values Water content (vol%) 1,5 3 Frequency (Hz) 1 100 Voltage (kV) 0,4 0,9 4 1000 1,5 III. RESULTS AND DISCUSSION A variety of phenomena was observed in the experiments. We will here comment on some of the main processes that could be revealed from the videos. Our main aim is to study the coalescence process between two free drops, as shown in Fig. 3. Here two spherical drops of diameter about 100 µm slowly approached each other and coalesced fully without showing any elongation in the field direction. This example occurred in oil with 1,5 vol% water cut with a distribution of drop sizes and low drop density. For an emulsion with low density of drops the rate limiting step of coalescence seems to be the number of drop collisions. In this case no flow is applied and only gravity and effects of the applied voltage influence the emulsion. The intention is in later studies to investigate such two-drop coalescence in real crude oil emulsions to find the critical voltage. At low frequencies a strong agitation of the emulsion was seen. This is explained by charged drops having enough time during each half-cycle to move a long distance in the gap. This seemed not to increase the collision frequency and few cases of coalescence were observed. Turbulence also disrupted any chain formation, and at higher voltages or high water cuts observation was made near impossible due to rapid movement. A complicating factor is that at low frequencies the voltage drop over the insulation is unknown, as a capacitive voltage distribution is not established. Fig. 1. Experimental cell for observation a water-in-oil emulsion during application of voltage. 0 ms 8 ms 18 ms 28 ms Fig. 3. Coalescence of two drops with approximate diameter 100 µm without much interaction with the surrounding drops, in a 1.5 vol% water-in-oil-emulsion and an applied voltage 0.4 kV and frequency 100 Hz. 0 ms 20 ms 28 ms 40 ms Fig. 4. During coalescence of two drops a cone is formed and a jet of small droplets is ejected, in a 3 vol% water-in-oil emulsion and an applied voltage 1.5 kV and frequency 1 kHz. 0 ms 10 ms 14 ms 28 ms Fig. 5. Interactions in a chain formed parallel to the electric field, with coalescence normal to the field direction. 4 vol% water, 0.9 kV and 1 kHz. Fig. 4 shows a merger of two drops into a larger one, which becomes asymmetrically unstable. According to Eq. 1 the critical voltage for drop instability decreases with increasing drop radius. The merged drop has a size above the critical limit for this voltage. However, for singular drops the instability is expected to be symmetric at both poles [5]. These instabilities will produce small, very stable droplets. In this case the instability is asymmetric, which can be explained by an inhomogeneous field distribution in the emulsion. Such single sided instability will leave the drops charged, giving rise to dielectrophoretic forces and movement. This behaviour was mainly seen at higher voltages. Frequently it was seen that when drops touched without coalescing they would exchange charge and start being repelled from each other. This could occur both for drop pairs and for drops within a chain. For the free charged drops and at lower frequencies one could see that they started oscillating with the field polarity. When a chain of drops formed, charge exchange along the length would take place, and more drops would easily be attracted, to be included either by coalescence or reorganising of the chain. This could both take place at the end and in the middle of the chain. Often larger drops were interspersed by smaller droplets, stabilizing the chain, of which an example is shown in Fig. 5. However, in this special case drop attraction and coalescence seemed to occur between a large drop in the chain and another drop alligned perpendicular to the electric field direction. Two polarized drops are normally repelled when aligned normal to the field direction, at angles exceeding 54.7° [1]. However, for very small separation distances drops nearly always attract each other [1], which this is an example of. In addition interaction between the two left-most drops cause a chain of small droplets being left behind. An uncertainty here is the interpretation of which drops that exists in the same plane. At high voltage (1.5 kV) and high frequencies (1 kHz) little agitation was seen and the coalescence rate seemed high, but drop impacts also frequently resulted in charge exchange without any merger. Other phenomena were also observed: Charged drops creating local agitation, partial coalescence and drop break-up due to elongation, which resulted in smaller drops than originally. Also drop chains were readily formed, which reduced the probability of coalescence when two drops collided. When reducing the voltage to 0.9 kV the coalescence rate remained high, while many of the other phenomena became less frequent. Tests were made at 0.5 vol% water cut, but no activity was observed within this time frame. With 3 vol% and 4 vol% water cuts chains of drops formed across the gap, at combinations of the two highest values of voltage and frequency. However, electric breakdown of the gap never occurred, proving that the method for insulation of the electrodes was effective. This was also confirmed by observations of the emulsion close to the high voltage electrode; no significant charge injection was observed. During these experiments high water cut or an emulsion with drops in the range below 50 µm gave very limited visibility. We therefore here focus on singular events in an emulsion with some larger drops. The experiments are a continuation of the work presented by Ingebrigtsen et al. [6], in which case the emulsion volume was able to expand into surrounding model oil. Especially at high voltages and low frequencies the emulsion volume was shown to expand significantly. In important aspect of the present work was to use a confined volume to avoid uncertainty from drops movement being influenced by this expansion. In both cases it was observed that electrophoretic stirring at low frequencies may hinder coalescence [6]. Based on our limited number of experiments we can qualitatively conclude that high voltages promote chain formation. Our aim has been to look at the frequency and voltage dependency of coalescence and chain formation in model oil in a confined volume, as a first step toward the goal of observation of crude oil emulsions with continuous flow. The experimental cell seems well suited for this purpose and further work will be performed. CONCLUSION For the intended purpose the experimental cell works well at low water cuts. Earlier assumptions, that drops in an emulsion will be charge neutral seems to be a gross simplification; we have seen – primarily at higher voltages - that drops in the emulsion may be charged both by contact between drops and break-up of single large drops. While coalescence between drops will increase at higher voltages there is a risk that the large ones may disintegrate. ACKNOWLEDGMENT This work is funded by the project “Electrocoalescence – Criteria for an efficient process in real crude oil systems”; co-ordinated by SINTEF Energy Research. Contact person is L.E. Lundgaard. The project is supported by The Research Council of Norway, under the contract no: 169466/S30, and by the following industrial partners: Aibel AS, Aker Solutions AS, StatoilHydro ASA, BP Exploration Operating Company Ltd, Shell Technology Norway AS, Petrobras, Saudi Aramco. REFERENCES [1] [2] [3] [4] [5] [6] L.E. Lundgaard, G. Berg, S. Ingebrigtsen and P. Atten, ”Electrocoalescence for oil-water separation: Fundamental Aspects,” in Emulsion and Emulsion Stability, 2nd edition J. Sjöblom, Editor. CRC Press, 2005, pp. 549-589. A. Pedersen “Forces Acting on Water Droplets in Electrically Energized Oil Emulsions” Doctoral Thesis, NTNU, 2008:315 S.E. Friberg, “Some Emulsion Features”, J Disp Sci Technol, vol. 28 no. 8 pp 1299-1308, 2007 T. Frising, C. Noïk and C. Dalmazzone, “The Liquid/Liquid Sedimentation Process: From Droplet Coalescence to Technologically Enhanced Water/Oil Emulsion Gravity Separators: A Review”, J Separation Science, vol 27, no7 pp 10351057, 2006 G. Berg, L.E. Lundgaard, M. Becidan and R.S. Sigmond, “Instability of electrically stressed water droplets in oil” Intern. Conf. Dielectric Liquids 2002 S. Ingebrigtsen, G. Berg and L.E. Lundgaard, “Electrocoalescence in Stagnant Emulsions” Intern. Conf. Dielectric Liquids 2005