3.1. Fluid Characterization and Performance
The results obtained in the laboratory for the HVO and olefin-based drilling fluids included plastic viscosity (PV), apparent viscosity (AV), yield point (YP), electrical stability (ES), gel strength (GS), filtrate volume (FV), and, for the HVO base, biodegradability and ecotoxicity tests.
As a reference, the thixotropic and rheological properties (yield strength, plastic viscosity, initial gel, and final gel) typical of a reverse emulsion fluid, as reported in previous studies [
30,
31,
32], are presented in
Table 4. As there is no upper limit for electrical stability, the minimum value is presented in
Table 4.
According to the American Petroleum Institute, apparent viscosity depends on the applied shear stress and can also vary with weather conditions. Extensional flow applies to a flow that occurs in uniaxial extension in a steady state. Moreira et al. [
34] note that, according to the American Petroleum Institute’s definition, AV values are related to the pressure loss that occurs during fluid circulation through the drilling string, which increases with higher readings obtained during the test.
The measurements were performed at the following rotational speeds, N (rpm): 600, 300, 200, 100, 6, and 3 rpm, with the fluid held for 1 min at each speed, after which the deflection reading was taken. Rheological tests were conducted at 48.9 °C (120 °F).
In addition to the field-based rheological parameters, the viscometer deflection readings (
) were used to calculate the shear stress,
(N/m
2), and the corresponding shear rate,
(s
−1), associated with each rotational speed, N (rpm), using Equations (9) and (10), respectively.
The shear stress and shear rate (γ) values were plotted to analyze the behavior of the drilling fluid. Another relevant parameter for rheological evaluation is the apparent viscosity (μ), calculated in Equation (11).
Figure 1 illustrates the results of rheological experiments conducted at a constant shear rate, allowing the variation in shear stress over time to be examined until the fluid reaches equilibrium, characterized by stress stability [
35]. The assays were performed at shear rates of 5.1, 10.2, 170, 340, 510, and 1020 s
−1, all in triplicate.
Based on the measurements, it was feasible to draw a consistency curve that establishes a relationship between shear stress (N/m
2) and each shear rate,
(s
−1). Thus, it will be possible to derive rheological models for the samples, as illustrated in
Figure 2 and
Figure 3, while also considering their aging conditions and the corresponding
(s
−1).
Fluid classification is essential for analyzing the correlation between shear rate and consistency variation, especially for non-Newtonian fluids, as demonstrated in
Figure 3, which clearly illustrates this relationship for both drilling fluids in their pre- and post-aging states.
Both drilling fluids, in their pre-aging and post-aging conditions, can be classified as non-Newtonian fluids, exhibiting pseudoplastic behavior as a function of shear rate, a common characteristic of drilling fluids, as illustrated in
Figure 3. The decrease in apparent viscosity with increasing shear rate confirms the shear-thinning behavior of the systems. However, the results also suggest that aging may have partially strengthened the structural network of the HVO-based emulsion.
To further describe this behavior, the rheological response of the fluids after aging was analyzed using the Power-law model. The flow behavior index (n) characterizes the nature of the fluid: n < 1 indicates pseudoplastic (shear-thinning) behavior, whereas n = 1 corresponds to Newtonian behavior. The parameter K (consistency index) reflects the fluid’s overall viscosity, with higher values indicating greater resistance to flow.
The values obtained for the consistency index (K) were 0.49 Pa·sn for the HVO-based fluid and 0.63 Pa·sn for the olefin-based fluid, while the corresponding n values were 0.65 for the HVO-based fluid and 0.59 for the olefin-based fluid, respectively, for the aged systems. These results are consistent with the expected behavior of drilling fluids, which typically exhibit pseudoplastic characteristics, as evidenced by n values < 1. In addition, after aging, the higher K value observed for the olefin-based fluid indicates greater flow resistance than that of the HVO-based system.
The identification of behaviors that diverge from Newtonian laws focuses on the relationship between shear stress (τ) and the strain rate (γ). The analysis of an initial stress (τ
0) together with the shape of the consistency curve supports the characterization of non-Newtonian fluids, as evidenced by results for both pre- and post-aging fluids. The pseudoplastic behavior, characterized by the reduction in viscosity with increasing shear rate, reveals the shear-thinning phenomenon. This behavior is remarkable, given that shear rates are generally higher under conditions that frequently occur in the drill string. The apparent viscosity, in turn, increases at low shear rates, which are predominant in the annular space, thus optimizing the solids-carrying capacity.
Table 5 shows the values obtained for the Yield Point, Apparent Viscosity, Plastic Viscosity, Electric Stability, and Filtrate.
Regarding the different fluid compositions, HVO presented higher apparent viscosity values than the olefin-based fluid. However, a slight decrease was observed after aging, while the olefin-based fluid showed a moderate increase. The higher apparent viscosity observed for the HVO fluid compared with the olefin-based fluid may be related to differences in the composition of the base oils or to the greater dispersion of emulsified water droplets promoted by the emulsifier in the HVO system. According to Palma and Giudici [
36], viscosity generally increases as particle size decreases in the fluid.
In addition, this behavior may also be related to the chemical composition of HVO (predominantly paraffinic hydrocarbons), which can enhance compatibility with the quaternary ammonium chains of organophilic clays, leading to more effective clay dispersion and improved structural development. In contrast, olefin-based fluids may exhibit lower compatibility with these additives, requiring higher concentrations to achieve similar rheological properties.
Furthermore, fluids based on hydrotreated vegetable oil (HVO) are mainly composed of hydrocarbons with longer carbon chains (C18–C20), which may contribute to higher viscosity compared with olefin-based fluids, whose composition is mainly dominated by hydrocarbons in the C16–C18 range.
The apparent viscosity values presented in
Table 5 for the HVO-based drilling fluids are within commercial standards for reverse emulsion fluids, indicating good capacity to carry solids during drilling and showing their importance for the success of drilling operations.
According to Silva [
37], plastic viscosity is a measure of a fluid’s internal resistance to its own motion. Plastic viscosity increases as particle size decreases. The main reason explaining this phenomenon is the decrease in the surface area of the fluid micelle because of the decrease in the size of the emulsion particles.
Both fluids studied, the olefin-based and the HVO-based systems, showed consistent relationships between plastic viscosity and apparent viscosity. The values obtained are within the recommended ranges, indicating adequate solids-carrying capacity for the cuttings generated during drilling operations.
As presented by Silva [
37], the yield limit represents the effort required to initiate fluid motion and reflects the forces of attraction between particles in the drilling fluid. As observed in practice by Caenn et al. [
38], drilling fluid performance is evaluated using the yield point, which indicates whether maintenance treatment is needed when the drilling fluid presents difficulties with displacement. Yield point is sensitive to the chemical environment, as it reflects the attractive forces between particles and may indicate the need for chemical treatment. As shown in
Table 5, all yield point values were positive, which is consistent with the expected non-Newtonian behavior of drilling fluids. Highly lubricated fluids, such as synthetic fluids, exhibit this phenomenon, which can be observed when a lubricating layer forms and adheres to the equipment’s metal surfaces, reducing the flow force required.
The fluids exhibited different yield-point values, all of which are consistent with their use as drilling fluids. The HVO-based fluid showed slightly higher yield point values than the olefin-based fluid, suggesting stronger interactions between dispersed particles in the emulsion system.
According to a study by Perez [
39], the electrical stability parameter is a measure of the voltage required to initiate electric current flow. It indicates how strongly the water is emulsified in an organic base. The high electrical stability values indicate a stronger emulsion, since oil is an electrical insulator. Between the electrodes, a flow of electricity is established through the emulsified water droplets, which coalesce to form a bridge. The emulsion breaks down at a voltage threshold, completing the circuit and achieving electrical stability, expressed in volts. Electrical stability may be associated with the emulsifier concentration in reverse emulsion drilling fluids. In the present study, the emulsifier concentration was kept constant at 8.0 lb/bbl, and the oil–water ratio (OWR) was approximately 60/40 for both fluids. Under these conditions, the electrical stability values obtained indicate that this formulation provided adequate emulsion stability for the analyzed systems.
All analyzed fluids showed satisfactory electrical stability, with values above 200 V, which is considered acceptable according to industry standards. Before aging, the olefin-based fluid showed higher electrical stability; after aging, the HVO-based fluid exhibited the highest stability. These results indicate that both systems formed stable emulsions, with good dispersion of the water phase in the oil phase, reducing coalescence and the formation of conductive bridges.
The filtrate volume from the filtration process is one of the main parameters for studying drilling fluid, as this test directly assesses the emulsion’s stability: the more stable it is, the lower the filtrate volume. The filtrate volume is directly related to the volume of fluid that invades the formation under certain temperature and pressure conditions [
34]. All filtrate volume values obtained are within the API standard specifications. In all formulations, the results were below 5 mL, the limit set by current standards. Another point to note was that the filtrate contained 0% free water. The results for this parameter were highly promising, indicating good emulsion stability and making phase separation difficult during fluid use.
Based on the parameters analyzed in this work, the results for the HVO-formulated fluid were compatible with those of the olefin-based fluids widely used in offshore drilling operations or showed superior performance.
It is worth mentioning that while drilling fluid properties are critical for hole cleaning and wellbore stability, drilling efficiency is also governed by rock-breaking processes at the bit-formation interface, which depend on mechanical interactions under confining pressure conditions (Zou et al., 2024) [
40]. In this context, fluid rheology may indirectly influence drilling performance by affecting cuttings transport and bit cleaning efficiency. The rheological properties of HVO-based fluids, particularly their shear-thinning behavior and gel strength, may affect the removal of rock cuttings from the bit face and the rate of penetration. Future studies should investigate how HVO-based fluids influence rock-breaking efficiency under downhole conditions, integrating fluid rheology with mechanical cutting models.
In addition to fluid performance, compatibility with elastomeric components used in drilling equipment is an important operational consideration. Recent advances in high-performance elastomeric materials with improved thermal stability and chemical resistance highlight the importance of material selection in demanding environments [
41]. However, the interaction between HVO-based fluids and elastomeric materials was not addressed in the present study and should be considered in future work.