Chengwen Wang,
Renzhou Meng*,
Ruihe Wang and
Zhonghou Shen
College of Petroleum Engineering, China University of Petroleum (East China), Qingdao, China 266580. E-mail: 1458894072@qq.com
First published on 21st June 2017
A novel dispersant, gelatin grafted acetone formaldehyde sulphonates (GAFS), was synthesized for oil-well cement. GAFS was synthesized by aldehyde ketone addition reaction, hydroxyl condensation reaction and Mannich amine methylation reaction, using gelatin, acetone, formaldehyde and sodium metabisulfite as the base materials. Functional groups and the molecular structure of GAFS were characterized by Fourier transform infrared spectroscopy. Evaluating experiments of GAFS mechanical properties and application performances were conducted. The results show that GAFS can be adsorbed on the cement particles tightly because of the electrostatic forces, and the adsorption amount of GAFS on cement particle surfaces is great. The adsorption of GAFS is spontaneous, and adsorption strength between GAFS and cement particles is high. GAFS can generate a great potential energy barrier, resulting in excellent dispersion performance. The adsorption of GAFS on cement particles is physical adsorption. Consequently, GAFS hardly influences the hydration reaction and imposes no retarding effect on the cement.
Many kinds of dispersants have been used in the well cement slurry. Among them, sulphosalts is one of the most common dispersants for well cement slurry,4 such as lignosulphonate,5 polynaphthalene sulfonate and polystyrene sulphonate. Low-molecular carboxyl polysaccharide formed by hemicellulose and hydrocellulose,6 nonionic polymer such as cellulose derivative, non-polymer such as hydroxy carboxylic acid7 and citric acid also have good dispersing effect. Although many types of dispersants have been developed and successfully applied to well cementing operations, there are also some side effects of these dispersants, for example, poor biodegradability (e.g., polynaphthalene sulphonate), retarding effect under low temperature (e.g., lignosulphonate, citric acid), high-cost (e.g., polystyrene sulphonate). With the petroleum industry paying more attention to offshore petroleum development, issues of environmental protection and low temperature have become increasingly prominent.8,9 Consequently, the development of novel cement dispersant with excellent dispersing performance, biodegradability and less retarding effect has become a key, as well as challenging task.
Gelatin is a kind natural protein substance formed by various amino acids which are mutually connected by peptide bond, with free function groups on the main chain. The gelatin contains hydrolysable groups hydroxide radical, carboxyl and amidogen so that it can be easily biodegraded.10,11 In this paper, a novel dispersant, gelatin grafted acetone formaldehyde sulphonates (GAFS), was synthesized for oil well cement, using gelatin, acetone, formaldehyde and sodium metabisulfite as the base materials. The adsorption performance and dispersing performance were analyzed quantitatively. The adsorption thermodynamics and dispersing mechanism were studied. Meanwhile, the influence of GAFS to the compressive strength was evaluated and the micro structure of cement matrix with GAFS was analyzed by scanning electron microscope (SEM).
An API class-G oil well cement corresponding to API Specification 10A was used, which was purchased from Sichuan Jiahua cement company.
The adsorbent layer thickness of GAFS on the cement particles surface was tested by photoelectron spectroscopy. Carbon is the characteristic element to distinguish the dispersant and cement. The absorption peak of C12 of cement particles without GAFS was tested. After cement particles adsorbed GAFS, the absorption peaks of C12 of cement particles at different etched depths were tested. The etched depth, at which the absorption peaks of C12 of cement particles after adsorbing GAFS is equal to it before adsorbing GAFS, is the adsorbent layer thickness.
![]() | (1) |
![]() | (2) |
τ0 = 0.511(2θ300 − θ600) | (3) |
The n and k can be used to measure the liquidity and thickness of cement. The τ0 presents the critical stress which prevent the flow of plastic fluids. The θ100, θ300 and θ600 present the viscometer reading at 100 rpm, 300 rpm and 600 rpm.
The static stability of cement slurry with GAFS was studied by this test. Firstly, the slurry was prepared at a water/cement ratio of 0.44. Then the slurry was poured into a sedimentation tube with an inner diameter of 25 mm while a tube length of 200 mm. After being cured for 24 h at room temperature, the cement sample was taken out from the sedimentation tube and immersed in water to prevent it from drying out. The sample was marked at 10 mm from bottom and top sides, and the middle section was gotten between two marks. Then the middle section was equally divided into 5 segments, and the density of these segments were tested by using drainage method.
Scanning electron microscope (SEM) is an effective means for analyzing the micro structure. The cement matrix sample piece was pasted to a copper sample holder with conductive adhesive, and gilt in vacuum, then observed under S4800 SEM (Hitachi, Japan) at an accelerating voltage of 5.0 kV.
The molar ratio of formaldehyde/acetone should be in the range of 1.6–1.8 to ensure an overdose of acetone, by which the side reaction between formaldehyde and sodium pyrosulfite can be inhibited. When the molar ratio formaldehyde/acetone is high than 1.8, the dose of formaldehyde is excessive, and the excessive formaldehyde can continue to react with β-hydroxy ketone, forming dihydroxy compound. Dehydration–condensation reaction would take place between those dihydroxy compounds, and then the polycondensate with large molecular weight would be produced, as shown in Fig. 2. Those polycondensate enhance the stereo-hindrance effect of the grafted reaction with gelatin, which is adverse to the grafted reaction.
In the environment of pH = 6.5, through the Mannich reaction of gelatin, formaldehyde and sulfonated acetone–formaldehyde, GAFS can be synthesized. The reaction can be divided into two steps: firstly, through the condensation reaction between formaldehyde and side chain of gelatin, amido cation can be formed, and then the amido cation translate into azomethine cation, as shown in Fig. 3; next, azomethine cation reacts with ketone contain α active hydrogen, by which sulfo-acid basic groups can be introduced into the gelatin molecules, forming GAFS, as shown in Fig. 4.
The gel filtration chromatography (GPC) of the GAFS showed a broad peak, as shown in Fig. 5. The molecular weights of the GAFS, such as number-average molecular weight (Mn), weight-average molecular weight (Mw), peak molecular weight (Mp) and polydispersity index (PDI, ratio between Mn and Mw) are shown in Table 1.
Molecular weight | Mn/g mol−1 | Mw/g mol−1 | Mp/g mol−1 | PDI |
---|---|---|---|---|
Value | 10![]() |
52![]() |
15![]() |
5.1 |
The FTIR spectra comparison of GAFS and gelatin are depicted in Fig. 6. As can be seen, two strong absorption peaks are located at 1190 cm−1 and 1046 cm−1 within the FTIR spectra of GAFS. The peak at 1190 cm−1 are characteristic absorption peak of sulphonate while the peak at 1406 cm−1 are characteristic adsorption of asymmetric C–O stretch vibration peak of ether bond C–O–C. The C–N stretching vibration peak of primary amine groups on gelatin is located at 1537 cm−1, while the C–N stretching vibration peak appear at 1550 cm−1 within the FTIR spectra of GAFS. This can be attributable to the fact that, after the grafting reaction, the primary amines in gelatin become secondary amines, resulting in the shifting of C–N stretching vibration peak to higher wave numbers. There are characteristic absorption peaks of peptide I and peptide II on the FTIR spectra of GAFS, demonstrating that the main structure of the gelatin is not changed.
It can be seen that, the adsorption capacities of GAFS increase as the equilibrium concentration (ce) increasing regardless of the temperatures. At the beginning, the increase of adsorption capacities of GAFS are rapid. Then the adsorption capacities increase slowly and tend to be constant in the end. There is a single adsorption plateau in every adsorption isotherm, which indicate that the adsorption of GAFS on class-G oil well cement particles is monolayer adsorption. The adsorption capacity of GAFS decreases as the temperature increasing, and this observation demonstrates that the adsorption of GAFS would be affected by the high-temperature to a certain extent.
The Langmuir isotherm and Freundlich isotherm are two most often used isotherms.15,16 The Langmuir equation (eqn (4)) is based on a theoretical model which assumes monomolecular layer adsorption without mutual interaction between adsorbed molecules.
![]() | (4) |
A linearized form of eqn (4) can be written as:
![]() | (5) |
The Freundlich equation (eqn (6)) can be used to describe the adsorption behavior of monomolecular layers as well as that of multimolecular layers. Its linearized form (eqn (7)) can be written as:
QMAX = Kf + ce1/n | (6) |
ln![]() ![]() ![]() | (7) |
The adsorption isotherms of GAFS are fitted according Langmuir equation and Freundlich equation, and the fitted curves are shown in Fig. 8.
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Fig. 8 Langmuir adsorption isotherm (a) and Freundlich adsorption isotherm (b) for GAFS at different temperatures. |
As seen in Fig. 8, the fitting similarity between Langmuir equation and the adsorption isotherms of GAFS on class-G oil well cement particles at different temperature are high, and the correlation coefficients are over 0.99, which are high than Freundlich equation. Consequently, the Langmuir equation can describe the adsorption of GAFS better, which indicate that the adsorption mainly occurs on the active location of the cement particles surface.
The main parameters related to the adsorption, including QMAX, b, n, Kf, can be calculated according to Fig. 8, and the results is shown in Table 2.
Temperature/K | Fitted by Langmuir equation | Fitted by Freundlich equation | ||
---|---|---|---|---|
QMAX/mg g−1 | b × 10−3/L mg−1 | n | Kf/mg g−1 (L mg−1)1/n | |
288 | 9.551 | 3.421 | 2.766 | 0.6057 |
303 | 9.158 | 3.339 | 2.089 | 0.260 |
318 | 8.842 | 3.045 | 1.982 | 0.207 |
333 | 8.772 | 2.536 | 1.821 | 0.143 |
Both the Langmuir adsorption coefficient b and the adsorption equilibrium constant Kf can be used to measure the desorption trend of adsorbent from the adsorbate. There is a proportional relation between b and Kf, and a higher value of b and Kf indicate a lower desorption trend, so that the dispersant with higher b and Kf means better dispersing performance.17 In addition, the saturated capacity of GAFS on cement particles is high. That can be attributable to the fact that, there is no large steric hindrance side chain on GAFS molecule, and the hydrophobic groups of GAFS molecule are small, resulting in a large adsorption amount of GAFS on cement particles. With temperature increasing, the adsorbability of GAFS decline slightly.
The initial concentration of dispersion has significant effect on the adsorption strength. The essential characteristics of the adsorbability can be expressed by a dimensionless constant called the separation factor RL (eqn (8)), which was first defined by Vermeulen et al.18 The curves are given by plotting RL versus initial concentration (co) of GAFS in Fig. 9.
RL = 1/(1 + bco) | (8) |
The value of RL indicates the adsorption property of adsorbate. When RL > 1, it is unfavorable for adsorption; when RL = 1, adsorption process is in equilibrium (linear adsorption); when 0 < RL < 1, it is favorable for the adsorption, and the adsorption strength can be either extremely high (0 < RL < 0.1), high (0.1 < RL < 0.5), medium (0.5 < RL < 0.9) or lower (0.9 < RL < 1); when RL = 0, it is irreversible adsorption.18
As shown in Fig. 9, under different temperatures, RL decreases with initial concentration of GAFS increasing and tends to be constant at last. The RL is in the range of 0.1–0.9 and the minimum value of RL is close to 0.1, which indicates that it is favorable for the adsorption of GAFS and the adsorption strength between GAFS and cement particles is high. Set RL = 0.5 (the horizontal line in Fig. 9), and the difference between corresponding initial concentrations (co) on different temperature lines is not great. This observation demonstrates that the adsorption strength is less affected by temperature.
The tendency, degree and driving force of adsorption process can be clarified by adsorption thermodynamics analysis, which is significant in the study of adsorption properties and adsorption mechanism. The thermodynamic constant K and Gibbs free energy ΔG can be calculated by weight-average molecular weight Mw and Langmuir adsorption coefficient b according to eqn (9) and (10).19 The straight line is given by plotting lnK versus 1/T in Fig. 10.
K = Mw × 55.6b | (9) |
ΔG = −RT![]() ![]() | (10) |
The adsorption enthalpy ΔG can be calculated by the slope and intercept of the straight line according to eqn (11), and the adsorption entropy ΔS can be calculated according to eqn (12). The results are listed in Table 3.
−ΔH/RT + ΔS/R = ln![]() | (11) |
(ΔH − ΔG)/T = ΔS | (12) |
Temperature/K | K | ΔG/kJ mol−1 | ΔH/kJ mol−1 | ΔS/J mol−1 K−1 |
---|---|---|---|---|
288 | 9940.79 | −22.04 | −5.20 | 58.47 |
303 | 9703.18 | −23.12 | −5.20 | 59.16 |
318 | 8846.91 | −24.03 | −5.20 | 59.20 |
333 | 7369.49 | −24.65 | −5.20 | 58.42 |
As shown in Table 3, during the adsorption process of GAFS onto cement particle surface, the Gibbs free energy ΔG is negative, which indicates that the adsorption of GAFS is spontaneous process. The adsorption enthalpy ΔH < 0, and the |ΔH| is much less than 40 kJ mol−1, so it can be determined that there is no chemical bond and coordinate bond generated and the adsorption of GAFS should be physical adsorption.20 The adsorption entropy ΔS > 0, meaning that the randomness of molecules on the solid liquid interface increases.21 In addition, a higher absolute value of ΔH is unfavorable to the adsorption.22 The absolute value of ΔH in the adsorption of GAFS is lower, so the adsorption stability is high.
The adsorption properties of GAFS can be demonstrated by its adsorption method on cement particle surface: electrostatic attraction occurs between the strong polar anion groups (i.e., –SO3−) of GAFS and cation groups on cement particles surface, and consequently, driven by this force, the GAFS can be tightly adsorbed on the surface of cement particles. Meanwhile, the weak polar groups on the backbone chain of GAFS can also be adsorbed on the cement particles. As a result, the adsorption method of GAFS on cement particles surface is physical adsorption and its adsorption strength is high. The adsorbent layer thickness of GAFS on cement particles surface was tested, and it is only 2.4 nm. Combining with the above analysis, it can be demonstrated that, the GAFS molecules lie flat on the cement particles surface and generate diffused double layer, as shown in Fig. 11.
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Fig. 12 Variation of zeta potential of cement slurry containing GAFS dispersant with varying dosages. |
Dispersion stability of cement slurry mainly depends on the Van der Waals' force, electrostatic repulsion and steric-hindrance effect caused by polymer adsorption layer.23–25 The electrostatic repulsion potential energy (Velect) of same-diameter and same surface-charge spheroidal particles with macromolecule adsorbed on can be calculated by eqn (13).26
![]() | (13) |
The Van der Waals' potential energy (Vvdw) of spheroidal particles with same diameter and same surface charge can be calculated by eqn (14).27
![]() | (14) |
In the aqueous solution suspension system, the dispersing performance of dispersion is determined by total potential energy (VT). For the cement slurry dispersed by GAFS, the electrostatic repulsion is the main factor affecting dispersing performance, while the steric-hindrance effect functions less. So the total potential energy can be calculated by eqn (15). The adsorption quantity Q, zeta potential and adsorbent layer thickness aforementioned are listed in Table 4.
VT = Vvdw + Velect | (15) |
Temperature/K | Q/mg g−1 | Zeta potential/mV | Adsorbent layer/nm |
---|---|---|---|
298 | 7.78 | −30.57 | 2.4 |
The calculated total potential energy for cement slurry dispersed by GAFS at 25 °C is shown in Fig. 13. GAFS works by adsorbing on the cement particles and forming strong electrostatic forces, which would generate a great potential energy barrier (i.e., ΔVT in Fig. 13). Generally, the potential energy barrier is higher than kinetic energy of cement particles driven by the Brownian motion so that the cement particle can hardly “climb over” it. Consequently, the cement particles are prevented from closing to others and the liquidity can be increased. Potential energy barrier reaches the maximum when the interparticle distance between cement particles is 390 nm. When the cement particles are within a short interparticle distance, the steric-hindrance effect cannot be ignored. The steric-hindrance effect would get stronger with the interparticle distance getting shorter. In this case, cement slurry can keep an excellent dispersion stability by the co-action of Van der Waals' force, electrostatic repulsion and steric-hindrance effect.
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Fig. 14 Variation of properties of cement slurry containing GAFS with varied dosages at 15 °C (a) and 60 °C (b). |
There is usually existing interaction force between cement particles, and due to that, the cement slurry presents spacing network structure under static condition. This kind of structure can block the flow of cement slurry unless the shear force is high enough (higher than the yield value) to break the structure. As can be seen in Fig. 14, the relation curve about the yield value of cement slurry with the variation of GAFS dosage, yield value increases with the increase of GAFS and then rapidly reduces to zero. This is because that, under the condition of low GAFS dosage, excess positive charge exists on the cement particle surfaces and that would inhibit the interaction force between cement particles. When the zeta potential reduces to 0, interaction force between cement particles reaches the maximum, so as the yield value of cement slurry. At a higher GAFS dosage, cement particles surfaces are completely covered by the GAFS so that zeta potential reaches a larger value and yield value reduced to zero under the effect of electrostatic repulsion.
The static stability of cement slurry with GAFS was tested and shown in Fig. 15. As can be seen, the percentage of density difference between the top and the bottom segment is less than 0.8% with the dosage of GAFS less than 0.8% bwoc, which meets the demand of cementing engineering. As water-soluble polymer, GAFS can increase the viscosity of water phase to a certain degree and it would relieve the sedimentation of cement slurry.
Enough compressive strength is necessary for cement sheath to withstand the high compression from cement casing and formation, playing a necessary role in supporting the casing. The cement can react with water, namely hydration reaction, and the fiber-shape calcium silicate hydrate (CSH gel), formed during the hydration reaction of cement slurry, can gradually fill the whole space and interweave together into a tight network, which densify the matrix and compromise the compressive strength. But, as mentioned before, the dispersant can be adsorbed on the cement particles and cover the surface, which would block the contact between cement and water. Consequently, the hydration reaction rate would be influenced to some extent. So the effect of adding the GAFS dispersant on the compressive strength of class-G cement was investigate, shown in Fig. 16.
As can be seen, the addition of GAFS can hardly cause any influence to the compressive strength of cement matrix, no matter at 15 °C or 60 °C. Compressive strength of all the samples presents a normal growth with the curing time increasing. This is due to that, the adsorption of GAFS on cement particles is physical adsorption, and there is no chemical reaction between GAFS and cement particles. Thus, the chemical properties of the cement would not be influenced by GAFS, and the cement particles are more inclined to react with water to form more stable chemical bonds instead of electrostatic adsorption with GAFS.
Through the SEM, the micro structure of cement matrix with GAFS (0.7% bwoc, cured for 24 h, 60 °C) was presented. As shown in Fig. 17, there are lots of CSH gels formed by hydration reaction and the dispersants adsorb only in very small amounts on C–S–H. So these CSH gels are interwove with others and the network formed by CSH gels can be tight enough.
(2) The Langmuir equation can describe the adsorption isotherm of GAFS on class-G oil well cement particles better, which indicate that the adsorption mainly occurs on the active location of the cement particles surface. The adsorption thermodynamics analysis results show that, adsorption of GAFS on cement particles is spontaneous and adsorption strength between GAFS and cement particles is high. The adsorption process is an exothermic process. High-temperature is of no advantage to the adsorption, but the influence of temperature to the adsorption strength of GAFS is slight.
(3) Electrostatic attraction occurs between the strong polar anion groups (–SO3−) of GAFS and the cation groups on cement surfaces. Driven by this force, the GAFS molecules lie flat on the cement particle surfaces and generate diffused double layer. The zeta potential (negative value) of cement particles is very low (−30.57 mV) because of the diffused double layer, and generates strong electrostatic forces, which would generate a great potential energy barrier. Due to that, combining with the steric hindrance effect generated by GAFS molecules, the GAFS dispersant has excellent dispersion properties.
(4) The adsorption of GAFS on cement particles is physical adsorption, and the chemical property of the cement would not be influenced by GAFS. As a consequent, the GAFS influence the hydration reaction slightly and imposes no retarding effect on the cement.
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