Delayed gelling agents
11634626 · 2023-04-25
Assignee
Inventors
- Ying-Ying Lin (Lawrence, KS, US)
- Cory Berkland (Lawrence, KS)
- Jenn-Tai LIANG (College Station, TX, US)
- Ahmad Moradi-Araghi (Bixby, OK, US)
- Terry M. CHRISTIAN (Bartlesville, OK, US)
- Riley B. NEEDHAM (Bartlesville, OK, US)
- James H. Hedges (Bartlesville, OK)
- Min CHENG (Bartlesville, OK, US)
- Faye L. Scully (Bartlesville, OK, US)
- David R. Zornes (Bartlesville, OK, US)
Cpc classification
C09K2208/10
CHEMISTRY; METALLURGY
C09K8/584
CHEMISTRY; METALLURGY
International classification
C09K8/584
CHEMISTRY; METALLURGY
Abstract
The disclosure is directed to polyelectrolyte complex nanoparticles that can be used to deliver agents deep into hydrocarbon reservoirs. Methods of making and using said polyelectrolyte complex nanoparticles are also provided.
Claims
1. A method of improving sweep efficiency of a fluid flood of a reservoir, said method comprising: a) injecting a composition into a reservoir, said composition comprising: i) a polyelectrolyte complex nanoparticle of size of less than one micron comprising a polyalkylenimine of less than 800 Da and a polyanion, ii) an acrylate-based polymer that can crosslink said composition, and iii) a fluid; b) aging the composition until viscosity increases; c) injecting an injection fluid into said reservoir to mobilize oil in said reservoir; and d) producing said mobilized oil.
2. The method of claim 1, said polyelectrolyte complex nanoparticle being intimately associated with a multivalent cation crosslinker.
3. The method of claim 1, wherein said polyalkylenimine is polyethylenimine.
4. The method of claim 1, wherein said polyanion is selected from sodium polyvinyl sulfonate, poly (sodium acrylate), poly(sodium styrene sulfonate), copolymers of sodium acrylate with sodium vinylsulfonate or sodium styrene sulfonate, dextran sulfate, and anionic surfactants.
5. The method of claim 2, wherein said multivalent cation crosslinker is selected from the group consisting of zirconium ion, zirconium acetate, sodium zirconium lactate, zirconium sulfate, zirconium tetrachloride, zirconium orthosulfate, zirconium oxychloride, zirconium carbonate, zirconium ammonium carbonate, zirconium acetylacetonate, aluminum chloride, aluminum sulfate, aluminum citrate, tin chloride, tin sulfate, iron chloride, iron nitrate, titanium chloride, and titanium sulfate.
6. The method of claim 1, said composition further comprising monovalent or divalent cations selected from the group consisting of sodium, potassium, magnesium or calcium ions.
7. The method of claim 1, wherein said polyanion is an anionic surfactant selected from the group consisting of sodium dodecyl sulfate, sodium lauryl sulfate, alcohol propoxy sulfate, olefin sulfonates, and alpha olefin sulfonates.
8. The method of claim 1, wherein said polyelectrolyte complex comprises a nanoparticle with an average particle size of about 100 to 900 nm in diameter.
9. The method of claim 1, wherein said polyelectrolyte complex nanoparticles are stable in water, field brine and seawater.
10. The method of claim 1, where said acrylate-based polymer is a partially hydrolyzed polyacrylamide.
11. The method of claim 1, where said acrylate-based_polymer is a polymer or copolymers of acrylate, acrylamide, N,N-dimethyacrylamide, tert-butyl acrylate, acryamido-2-methylpropane sulfonic acid, sodium 2-acryamido-2-methylpropane sulfonate, or N,N, dimethyl acrylamide.
12. The method of claim 2, where said multivalent cation crosslinker is zirconium or aluminum.
13. The method of claim 1, where said fluid is brine or seawater.
14. An improved method of sweeping a reservoir, wherein an injection fluid is injected into a reservoir to mobilize and produce oil, the improvement comprising injecting a composition comprising: i) a polyelectrolyte complex nanoparticle comprising a polyalkylenimine of less than 800 Da and a polyanion, said nanoparticle having a size of less than one micron, and ii) a polymer, and iii) a fluid, into a reservoir, aging said composition until viscosity increases, injecting additional injection fluid into said reservoir to mobilize oil, and producing said oil.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
(13) The disclosure provides novel polymers that delay gelling under the conditions typical of water flooding in situ and have particular utility in blocking thief zones of reservoirs, but other uses are possible, especially in the agriculture, remediation and drug delivery arts.
(14) Low molecular weight PEI or PEI derivatives are used, together with an polyanion, and the two together hold multivalent metal ions in a nanoparticle, allowing the gradual release of the multivalent metal ion. These nanoparticles plus a polymer that can be crosslinked with the multivalent metal ion, and an injection fluid are injected into a reservoir. As time passes, multivalent metal ions are released from the nanoparticles and crosslink the polymer. Thus, the multivalent metal ion release (and consequent gel thickening) can be delayed until the injection fluid has reached deep into the reservoir.
(15) As an alternative embodiment, low molecular weight PEI or PEI derivatives are used, together with an polyanion, and the two together will gradually degrade and/or release the PEI, which can also be used for crosslinking.
PRIOR ART
(16) In this prior art example from US2010056399, the delayed viscosity increase was demonstrated using the nanoparticles loaded with chromium prepared according to the following:
(17) The nanoparticles with Cr (III) as the oil and gas field chemical were prepared at room temperature. About 59.0 g of a dextran sulfate (Mw=500 kDa, Fisher Scientific) aqueous solution (10,000 ppm) were added drop wise to about 133.0 g of a polyethylenimine (Mw=25 kDa, Aldrich) aqueous solution (10,000 ppm), which was continuously stirred. After stirring for about 15 minutes at 350 rpm, 0.46 g of CrCl.sub.3.6H.sub.2O (Mw=266.45 kDa, Fisher Scientific) was added and the resulting nanoparticles were stirred for about 30 minutes at about 350 rpm.
(18) The nanoparticles were washed 24 hours in the dark by dialysis against a 5% w/v D-mannitol aqueous solution, and 24 hours more against a fresh 2.5% w/v D-mannitol solution using a Spectra/Por CE dialysis membrane with a molecular weight cutoff of 10,000 Daltons. The purified, Cr(III) loaded nanoparticle solution was frozen for about two hours at −70° F. before being lyophilized at 0.024 Torr and −46° C. for 48 hours. The lyophilized nanoparticles were stored in a desiccator.
(19) The zeta potential of the dialyzed nanoparticles was determined to be −22.4+−1.9 mV, the effective diameter after dialysis was 190±1 nm, and the loading efficiency of Cr(III) was 77.4%.
(20) Bottle tests were conducted at 40° C. in oven using glass vials with cap (20 mL). Samples of gelant solution were prepared adding to the 20 mL glass vial the appropriate weight of nanoparticles loaded with chromium to get 100 ppm of Cr (III) in the final solution, the appropriate weight of ALCOFLOOD® 935 (Lot #A2247BOV, average Mw=6,000 kDa) aqueous solution (10,000 ppm, 2% NaCl, 10 ppm NaN.sub.3) and deionized water added to arrive at a concentration of 5,000 ppm ALCOFLOOD® 935 in the final solution. The nanoparticles and the liquid phase were hand-mixed until visual homogeneous dispersion. Duplicate gelant samples were prepared and labeled as 1A and 1B.
(21) The control solution was prepared hand-mixing in a 20 mL glass vial 10.0 g of a 200 ppm Cr(III) (from CrCl.sub.3.6H.sub.2O, Mw=266.45, Fisher Scientific) fresh aqueous solution with 10.0 g of a 10,000 ppm ALCOFLOOD® 935 (Lot #A2247BOV, average Mw=6,000 kDa), 2% NaCl, 10 ppm NaN.sub.3 aqueous solution. The sample was labeled as control.
(22) A Brookfield Digital Viscometer Model LVDV-1+CP was used to monitor the viscosity changes of gelant solutions and determine the gel time of the gelant solutions. The gelation process was monitored as a function of time starting from the point of visual homogeneous dispersion. The gel time is defined as the time required for the viscosity of the gelant at 25° C. to reach a value larger than 1028 cP at a shear rate of 2.25 s.sup.−1. The temperature of the viscometer was controlled at 25° C. during the measurements.
(23) Table 1 shows viscosity (cP) changes at 11.25 s.sup.−1 as a function of time (minutes) for the evaluated samples:
(24) TABLE-US-00002 TABLE 1 Viscosity Versus Aging Time Viscosity, cP, Viscosity, cP Viscosity, cP Viscosity, cP Viscosity, cP Viscosity, cP Sample t = 0 min t = 32 min t = 4,320 min t = 5,760 min t = 7,200 min t = 9,000 min Control 32.5 >205.6 1A 37.0 37.0 41.7 48.8 50.9 >205.6 1B 38.8 38.8 42.7 45.8 51.5 >205.6
(25) The control sample had a gelation time of about 32 minutes. The gelation time of the samples 1A and 1B was the same (about 9,000 minutes=6 days) as well as the viscosity increase behavior. The gelation time of 1A and 1B samples is about 280 times longer than the gelation time of the control sample. However, it was still only about 150 hours or less than one week.
(26) In this prior art example from U.S. Pat. No. 7,644,764, a PEC delayed gelling agent was made without metal ions. First, a solution comprising 9,997 ppm PEI (100.63 g) was formed, and a separate solution comprising the 9,991 ppm DS (46.94 g) was formed. A polyelectrolyte complex solution was prepared by mixing the two solutions together. Then, the polyelectrolyte solution was mixed with varying amounts of the ALCOFLOOD® 935 at 40° C. In particular, sample G4 (comprised of 5015 ppm ALCOFLOOD® 935 and 29.8% of the PEI/DS nanoparticles solution) produced a gel after 12 incubation days.
Positively Charged PEC
(27) To make a positively charged PEC, 10 g 0.25% (w/w) polyethylenimine (PEI, Mw 800D, pH 9.11), 1 g 0.25% poly(vinylsulfonic acid, sodium salt) (PVS) obtained from Sigma Aldrich solution were mixed at 1200 rpm rate followed by the addition of 0.2 g of 15% Zirconium in dilute acetic acid. The solution was stirred for another 5 minutes at 600 rpm.
Negatively Charged PEC
(28) For negative PEC particles, 1 g 0.25% (w/w) PEI, Mw 800 Da, pH as prepared (about 10.8), and 12 g 0.25% PVS solution were mixed at 1200 rpm stirring followed by the addition of 0.35 g of 1.5% zirconium in dilute acetic acid. The solution was stirred for another 5 minutes at 600 rpm.
(29) PEI amount is less in negatively charged PEC than in positively charged PEC. The binding of Zr to PEC nanoparticle strongly depends on the interaction between PEI and Zr. Therefore, lower stock concentration of Zr is required to prepare stable negatively charged PEC.
Characterization of PEC Nanoparticles
(30) Zeta potential is a scientific term for electrokinetic potential in colloidal systems. The significance of zeta potential is that its value can be related to the stability of colloidal dispersions. The zeta potential indicates the degree of repulsion between adjacent, similarly charged particles (polyelectrolytes) in dispersion. For molecules and particles that are small enough, a high zeta potential will confer stability, i.e., the solution or dispersion will resist aggregation. When the potential is low, attraction exceeds repulsion and the dispersion will break and flocculate. Thus, colloids with high zeta potential (negative or positive) are electrically stabilized while colloids with low zeta potentials tend to coagulate or flocculate.
(31) Particle size is also important for delayed gelling agents, since the particles need to penetrate deep within reservoirs. Thus, a particle size of less than one micron is preferred, especially about 100-900 nm average diameter, or about 150 nm to about 300 or 400 nm.
(32) The particle size and zeta potential of the PEC nanoparticles were measured using a ZetaPALS zeta potential analyzer (Brookhaven Instruments Corp.) by dynamic and phased analysis light scattering experiments. When measuring the mean size of nanoparticles, three consecutive 1 minute measurements were obtained by detecting light scattering at a 90° angle. For zeta potential measurement, 1.5 mL of 1 mM KCl solution was mixed with eight drops of nanoparticle solution. The zeta potential was calculated from electrophoretic mobility using the Smoluchowski approximation.
Determination of ZR Entrapment
(33) Zirconium concentrations of PEC were determined by digesting the PEC solution with 2% nitric acid. The emission of oxidized Zr was then measured at wavelength 339 nm using a Perkin-Elmer ICP-AES spectrometer. The entrapment efficiency of Zr was calculated as follows using the Zr concentration of the prepared PEC nanoparticle sample and the free Zr concentration in the supernatant after the PEC nanoparticles are centrifuged at 14800 rpm for 90 minutes.
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where [Zr.sup.4+].sub.0 represents the concentration of Zr(IV) in PEC nanoparticle solution and [Zr.sup.4+].sub.s is the concentration of the free Zr(IV) in the supernatant solution.
Gelant Preparation
(35) A 2% HPAM stock solution was prepared by dissolving solid HPAM in a cold solution of NaCl and 800 ppm NaN.sub.3 followed by stirring for 48 hours to ensure complete hydration of polymer. The HPAM stock solution was then filtered through a 5 μm nylon filter under a driving pressure of 16 psi.
(36) For the HPAM delayed gelation test, gelant preparation and gelation were performed in an anaerobic chamber (COY Laboratory Products, Inc. Grass Lake, Mich.) under closely controlled anaerobic conditions. A solution of gelant was prepared by mixing the required amount of PEC and HPAM with sufficient amount of brine or RO water. The prepared gelant was stirred at 700 rpm for a few minutes until a homogeneous solution was obtained. Then the gelant was divided into several portions and incubated in an oven or a heating block at constant temperature and allowed to gel under anaerobic conditions.
Brines
(37) Synthetic field brine and seawater were prepared according to the compositions shown in Table 2.
(38) TABLE-US-00003 TABLE 2 Synthetic Field Brine (FB) and Seawater (SW) Compositions Component Field brine (g/kg) Seawater (g/kg) NaCl 22.982 26.518 KCl 0.151 0.725 CaCl.sub.2•2H.sub.2O 0.253 1.141 MgCl.sub.2•6H.sub.2O 1.071 2.447 NaBr 0.083 MgSO4 3.305 Na.sub.2SO.sub.4 0.145 NaHCO.sub.3 2.706 0.202 Water 972.692 965.579
Gel Time and Viscosity Measurement
(39) The viscosity and the gelling time were measured using a Brookfield digital viscometer (Model DV-II+ Pro). The viscosity of the gelant measured at 25° C. was determined at several shear rates. The gel time is defined as the time required for the viscosity of the gelant at 25° C. to reach a value larger than 1028 cP at a shear rate of 2.25 s.sup.−1.
Cytotoxicity Assay
(40) The cytotoxicity of PEI was determined using the CellTiter 96® AQueous Cell Proliferation Assay System (MTS assay) from Promega. A549 cells were loaded into 96-wellplates with approximately 8,000 cells per well and incubated in a humid 5% CO.sub.2 incubator at 37° C. After 18-24 h incubation, the medium was removed and the cells were washed with 100 μl of serum free-medium. Cells were then treated with the PEI solutions for 16 h. The serum-free media was removed and replaced with 100 μl of fresh media with 20 μl of the MTS reagent solution. The cells were incubated for 2 h at 37° C. in a 5% CO.sub.2 incubator.
(41) Cell viability was assessed by measuring the absorbance at 490 nm using a plate reader (SpectraMax M5) and expressed as the percentage of viable cells treated PEI normalized to viable control cells in the absence of PEI.
(42) According to the results (shown in
Optimized PEI/PVS-Zr Characterization Data
(43) Characterization data including size, zeta potential, Zr loading concentration, and Zr entrapment efficiency of optimized positively and negatively charged PEC are shown in Table 3. The loading of Zr depends on the amount of PEI. Because the concentration of PEI in negatively charged PEC is much lower than in positively charged PEC, the loading of Zr is less in negatively charged PEC than in positively charged PEC.
(44) TABLE-US-00004 TABLE 3 Summary of characterization results for positively and negatively charged PEI Zr Charge Zeta Zr entrapment type Size (nm) potential (mV) loading (ppm) efficiency (%) [+] 397.7 ± 47 29.78 ± 1.04 2600 99 [−] 392.2 ± 49.6 −50.36 ± 0.68 385 95
Delayed Gel Formation
(45) In this study, gelation tests were performed with partially hydrolyzed polyacrylamide (HPAM) from three providers: ALCOFLOOD® 935 (Mw=6000 kDa) was obtained from CIBA SPECIALTY CHEMICALS, AN907 from SNF INC., and ALCOMER® 24 from BASF CORP. Comparing the viscosities measured at 25° C. with the same HPAM concentrations, it is believed that the average molecular weight of these polymers is ranked as AN907 (10-13 MDa)>ALCOMER® 24 (˜6.6 MDa)>ALCOFLOOD® 935 (˜6 MDa).
(46) Gelation profiles for ALCOFLOOD® 935 with PEI 800DIPVS-Zr positively charged PEC in RO water (RO), field brine (FB) and seawater (SW) at (A) 65° C., (B) 101° C. and (C) 118° C. are shown in
(47) Table 4 shows a summary of gelation times for 5000 ppm ALCOFLOOD® 935 with positively and negatively charged PEI 800D/PVS-Zr PECs in RO water (RO), seawater (SW), and field brine (FB) at 118° C., 101° C., and 65° C. Zr concentration equals to 100 ppm. A wide range of gelation time from 5.4 hours at 101° C. to 304 days at 65° C. was achieved by varying salt concentration, temperature, and charge type of PEC.
(48) TABLE-US-00005 TABLE 4 Gelation Time Summary for 5000 ppm ALCOFLOOD ® 935 Incubation Charge temperature type FB SW RO 118° C. [+] ~22 h ~32 h ~1.25 h [−] ~6.9 d ~4.2 d 101° C. [+] ~7 d ~5 d ~5.4 h [−] ~11 d ~7 d 65° C. [+] ~304 d ~125 d ~6 d
(49) In Table 5, the HPAM source was ALCOFLOOD® 935. We repeated the experiments with the polymers from different sources. Table 5 shows a summary of gelation times for HPAM, including ALCOFLOOD® 935, AN907, and ALCOMER® 24, with positively and negatively charged PEI 800D/PVS-Zr PECs in RO water (RO), seawater (SW), and Field brine (FB) at 118° C., 101° C., 75° C., 65° C. and 50° C.
(50) Recall that AN 907 has a higher Mw than ALCOMER® 24, which has a higher Mw than ALCOFLOOD® 935. Thus, it can be seen that these results suggest it is possible to further delay gelation time by using lower molecular weight polymer to form gels in situ. In general, the higher the temperature, the shorter the delay. Also, longer delays were seen with field brine A than with sea water.
(51) TABLE-US-00006 TABLE 5 Gelation Time Summary for Various HPAM Samples PEC surface Brine Incubation Temperature (° C.) charge Type 50 65 75 101 118 HPAM & conc. [+] RO 6 d 5.4 h 1.25 h AF935 5000 ppm 11.1 d AN907 7000 ppm 15.8 d AC24 7000 ppm 18 d AF935 7000 ppm FB 304 d 6.7 d 2.7 d AF935 5000 ppm 77 d 23 d AN907 5000 ppm 43.7 d AN907 7000 ppm 53.7 d AC24 5000 ppm 39.7 d AC24 7000 ppm SW 125 d 4.8 d 2.9 d AF935 5000 ppm 19 d AN907 5000 ppm 11 d AN907 7000 ppm 55 d AC24 7000 ppm [−] FB 10.8 d 6.9 d AF935 5000 ppm SW 10.9 d 4.2 d AF935 5000 ppm AN907 5000 ppm
(52) The effect of HPAM concentration on the HPAM gelation is shown in
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(54) From the inset of
Gel Strength
(55) Gel strength was visually assessed, and photographs (data not shown) indicate that gels formed by positively charged PEC and reduced concentration of ALCOFLOOD® strong. When bottles containing gel are turned over, the viscosity is high enough to keep the gel from flowing out of the bottle under gravity.
Zr Concentration
(56) The effect of final Zr concentration in gelant on HPAM delaying gelation was also studied. Gelant prepared with 3500 ppm HPAM, positively charged PEI 800DIPVS-Zr PEC system prepared in RO water was used. Three final Zr concentrations: 30, 50 and 100 ppm were tested.
Gelation Time and Mw
(57) Our initial results suggested that gelation time could also be varied as a function of average molecular weight of the HPAM polymer, larger molecular weight polymers taking longer to gel at the same weight based ppm concentration. This is to be expected based on the above concentration data. At a given weight amount of polymer, there are fewer molecules in solution where the average molecular weight is higher, and the fewer the molecules, the longer the gelation time is predicted to be.
(58) To prove this hypothesis, gelation tests of positively charged PEC entrapping Zr with different molecular weight HPAM were performed. Their gelation times in RO water (
Gel Stability
(59) High temperature causes the hydrolysis of amide groups of HPAM, which can lead to substantial syneresis of the formed gel. Stability of gels formed by both positively and negatively charged PEC were continued incubating at 101° C. and 118° C. monitoring the formation of gel by visual observation on weekly basis.
(60) Table 6 shows a summary of the stability of gels formed by positively and negatively charged PEI 800D/PVS-Zr PECs and ALCOFLOOD® 935 at 5000 ppm in field brine (FB) and seawater (SW) at 118 and 101° C. The thermal stability differences of gels formed by positively and negatively charged PEC may be determined by the concentration of divalent cations in field brine and seawater as well as the concentration of PEI in the gelant.
(61) Positively charged PEC entrapping Zr forms a more stable gel than negatively charged PEC entrapping Zr in field brine. In contrast, gels formed with negatively charged PEC are more stable in seawater than gels made with positively charged PEC. Thus, each delayed gelling agent has a useful employment niche.
(62) The gels made with positively charged PEC at 118° C. were stable for 101 days in field brine and 7 days in seawater. For gels incubated at 101° C., duration of stability can be extended to more than 257 days in field brine and 64 days in seawater.
(63) As for negatively charged PEC the duration of stability for gels incubated at 118° C. is 13 days in field brine and 64 days in seawater. Gels incubated at 101° C. are stable for up to 87 days in field brine and 189 days in seawater.
(64) TABLE-US-00007 TABLE 6 Gelation Time Summary in Brines with PECs at Various Temperatures Gel Surface charge type Brine Temperature Stable Time PEI 800D/ Positively FB 101° C. ~257 d PVS-Zr charged PEC 118° C. ~101 d SW 101° C. ~64 d 118° C. ~7 d Negatively FB 101° C. ~87 d charged PEC 118° C. ~13 d SW 101° C. ~189 d 118° C. ~64 d
Delayed PEI Gelling Agent
(65) In addition to crosslinking HPAM with PEC nanoparticles containing metal cations, such as zirconium, it is also possible to crosslink HPAM and similar carboxylate containing polymers without the use of multivalent cations. In such cases, as those with multivalent cations, PEI acts as a crosslinker of HPAM. Thus, the disclosure also includes all PEC particles made herein, but omitting the multivalent cations, and such PEC particles can still be used for delayed gelling purposes.
(66) Positively and negatively charged PEC particles were made as described herein, but omitting the multivalent metal cation, and then tested for delay of the gelling reaction.
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(70) In summary, prior art PEC nanoparticles were made with PEI and dextran sulphate, and loaded with Cr(III). These delayed gelling agents however, were only capable of delaying gelling for 6 days at room temperature. The prior art PEC-DS particles made without chromium could only delay gelling for 12 days at 40° C. These delays would obviously be much shorter in the much higher temperatures of a real reservoir.
(71) In contrast with PEI and PVS, in PEC nanoparticles, the delays are much longer, even at typical reservoir temperatures. Further, we can make PEC nanoparticles that are predominantly positive or negative, simply by varying the ratio of PEI to PVS, and the differently charged PEC particles can be used in different reservoirs with different rock types, or as need for water or brine stability. Further, we have shown how gelation time can be exquisitely controlled by varying the concentration of polymer or crosslinker or by varying the molecular weight of the polymer (gel time is inversely proportional to [polymer] or [crosslinker] or Mw polymer).
(72) Furthermore, the PEC nanoparticles described herein can be made with much lower molecular weight PEI and lack the toxicity of the prior art PEC nanoparticles, which were made with higher molecular weight PEI, shown herein to be more toxic. Additionally, the prior art PEC nanoparticles were loaded with the toxic element chromium.
(73) Finally, the PVS is less expensive that the dextran sulfate of the prior art. While, not a major factor on a small scale, the large amounts of polymers needed for reservoir use can make this a significant difference.
(74) Each of the following references are incorporated herein in their entirety for all purposes. US2010056399, US2008058229, U.S. Pat. No. 7,644,764 Johnson, S., Trejo, J., Veisi, M., Willhite, G. P., Liang, J., Berkland, C., 2010, Journal of Applied Polymer Science, 115, 1008-1014.