Effects of inhibitor KCl on hydration swelling and softening of a smectite-poor mudstone

The swelling and softening of mudstones caused by water often lead to serious geological disasters. In petroleum exploration and development, the hydration expansion of mudstone can also lead to serious wellbore instability hazards. The swelling of smectite clays is the main reason for this hydration expansion in mudstones. It is generally recognized that illite and illite–smectite mixed layer clays are both poor swellable and has a low effect on rock strength of smectite-poor mudstone. Furthermore, weakening law and degree of smectite-poor mudstone in water is not clear. This study conducted swelling tests and rock mechanics experiments on a smectite-poor mudstone from the Sichuan basin. The results show that both water content and swelling capacity tend to remain steady after soaking the samples for 24 h. The mudstone water content reached 5.36%, and the swelling rate was 2% after soaking in water for 72 h, and the rock had a lower unconfined compressive strength (UCS) value of 1.41 MPa. Adding KCl inhibited these processes, and elevated KCl concentrations drastically reduced the mudstone water content and swelling rate. Compared to water, the water content and swelling rate of mudstone soaked in a 6% KCl solution both decreased by 50%. The UCS and the elastic modulus also increased for a half-dry mudstone, although the inhibitor was important. At elevated KCl inhibitor concentrations, the UCS and elastic modulus of the hydrated mudstone were lower than those of the dry mudstone. The findings of this study can help for better understanding of the application of KCl inhibitor in water-based fluid for drilling engineering.


Introduction
The swelling and softening characteristics of mudstones are closely related to many engineering accidents (Al-Homoud et al. 1996;Jiang et al. 2014;Zhang et al. 2013). For example, in petroleum engineering, serious wellbore instability is often caused by the hydration, swelling, and softening of mudstones in the borehole. This slows the construction rate of many drilling projects (Gholami et al. 2018). Oil-based drilling fluid may be the solution, but water-based drilling is increasingly being used for shale exploration and is considered to be more environmentally acceptable (Anderson et al. 2010). As a result, it is an urgent and challenging work to study the reaction mechanism between water-based drilling fluid and rocks and avoid engineering accidents.
Many researchers have previously studied swelling in mudstones. It is generally believed that when rocks are soaked in water they tend to expand and deform (Zheng et al. 2018), have a weaker strength (Shi et al. 2016), and produce expansion cracks (Li et al. 2019) that often cause geological disasters. Many studies of hydrated mudstones have also been carried out. The strength of clay-rich mudstone decreases significantly after soaking in water, to strengths below 60% of the dry rock value (Erguler and Ulusay 2009;Goodman 1989). Previous studies have established that this swelling and the associated weakness are mainly caused by the hydration and expansion of smectite clays. The ion exchange responded to hydration of shale which includes smectite clay (Wang et al. 2020). The reduction in interlayer spacing by means of K + exchange could be a major reason for the attenuation of swelling behavior (He et al. 2019). The water activity is positively correlated with the total clay mineral content, especially the amount of smectite in illite-smectite mixed layer clay (Wen et al. 2015). In petroleum engineering, KCl has been used to restrain wellbore instability caused by mudstone hydration swelling (Horsrud et al. 1998;Olayiwola and Dejam 2020;Simpson et al. 1995). The swelling capacity of shale decreases with increasing KCl concentration (Shi et al. 2019). Furthermore, smectites are called swelling clay minerals (Li et al. 2017;Liu and Chen 2013;Zhang et al. 2014). However, existing results fail to resolve effects on swelling between smectiterich (> 50%), low-smectite (< 10%), and smectite-poor (< 5%) mudstones and few studies have investigated hydration swelling in low-smectite or smectite-poor mudstones and previous studies have not dealt with the effect of KCl on swelling and weakening of smectite-poor mudstone.
This study focuses on hydration swelling and rock mechanics in smectite-poor mudstone. A smectite-poor mudstone was selected. Swelling and unconfined compressive strength (UCS) tests were conducted on a mudstone from the Sichuan basin, and X-ray diffraction (XRD) analyses were carried out. The results highlight the importance of clay minerals, especially illite-smectite mixed layer clays, and KCl concentration on mudstone hydration and swelling ( Fig. 1). This study turns to the poor content of smectite of mudstone, but still need to investigate the more continuous change content of smectite of mudstone and more inhibitor KCl experiments.

Materials
The mudstone used in this study was collected from the Sichuan basin. Cylindrical samples were cut from the mudstone, each with a diameter of 25 mm and a height of 50 mm (Fig. 2). XRD analyses were first carried out on the mudstone to analyze its mineral composition, including the total mineral content and the relative clay mineral content (Fig. 3). The mudstone contained clay minerals, quartz, calcite, and plagioclase as its main mineral components. The clay minerals were illite, chlorite, and illite-smectite mixed layer clays. Porosity, permeability, and density tests were also conducted on the mudstone. The porosity of the mudstone was 7.47%, and the permeability was 0.0149 mD (Table 1).

Methods
The rock samples were placed in an electro-thermostatic drying oven and dried at 105 °C for 24 h. The samples were allowed to cool, after which their masses were determined. A ZNP-01 swelling meter was used for the swelling tests (shown in Fig. 4) that had an accuracy of 0.01 mm and a range of 10 mm. The dried mudstone samples were placed into the swelling meter and soaked in water (0%) and 2%, 4%, 6%, and 8% KCl solutions, respectively. The swelling capacities of samples soaked for 72 h were recorded, and we calculated the swelling rate as follows: where δ t is the unloaded swelling rate at time t (%); R t is the meter reading at time t (mm); R 0 is the meter reading at the beginning of the test (mm); and h 0 is the initial height of sample (mm). The mass of each rock sample was then measured after soaking, and the water content was calculated as follows: where w is the water content, m w is the mass after soaking, and m is the mass before soaking.
In order to study the effect of KCl concentration on the mechanical properties of the mudstone samples, UCS experiments were conducted on the rock samples that were soaked for 72 h. An RTR-1000 (GCTS, American) triaxial rock mechanics apparatus was used for these analyses. A displacement-controlled load (0.1 mm/min) was applied to each sample, and the axial stress, axial strain, and lateral strain were measured (Fig. 5).

Water content
The absorption of the mudstone samples soaked in various KCl solutions is shown in Table 2. The results show that with increased KCl concentrations, the water content of the samples gradually decreased. When the KCl concentration was 6%, the water content of the sample was reduced  . 4 The ZNP-01 swelling meter used for the swelling analyses Fig. 5 The uniform compressive stress (UCS) apparatus used in this study by 50%. At higher KCl concentrations, the water content remained steady. Figure 6 shows the changes in water content with KCl concentration. The KCl concentration and water content have a negative exponential relationship as follows: where w is the water content and a, b, c are the fitting parameters, and λ is the KCl concentration. Equation 3 largely describes the relationship between KCl concentration and water content. Using the fitting results, a, b, and c can be obtained as 2.2627, 3.1430, and 0.3772, respectively, and the correlation coefficient R 2 is 0.98 (Fig. 6).

Swelling rate
The swelling capacities of the mudstone samples soaked in various KCl solutions are shown in Fig. 7. Compared to the conditions in the other experiments, the swelling capacity (3) w = a + be −c× was the largest for water (0% KCl) and reached its maximum at 20 h. However, the swelling capacities of the other samples increased within 24 h but did not reach their maxima until 48 h, after which the swelling capacity continued to increase, but only minimally. KCl had a good inhibitory effect on the swelling capacity. With increased KCl concentrations, the swelling capacity decreased. The final swelling capacity decreased from 1.02 mm (0% KCl) to 0.19 mm (6% KCl) and 0.23 mm (8% KCl), thus reducing the swelling capacity of the mudstone by approximately 80%.
The final swelling rate at 72 h is calculated using Eq. 1. The KCl concentration and swelling rate have a negative exponential relationship (Eq. 4). With an increased KCl concentration, the swelling rate decreased. When the KCl concentration was 6%, the swelling rate tended to remain stable. The final swelling rate decreased from approximately 2% to 0.5%.
where δ t is the swelling rate, a, b, c are the fitting parameters, and λ is the KCl concentration.
From the fitting results, a, b, and c can be obtained as 0.1589, 1.9272, and 0.2966, respectively, and the correlation coefficient R 2 is 0.96 (Fig. 8). Figure 9 shows the stress-strain curve obtained from the UCS analyses, and Table 3 lists the mechanical parameters of the mudstone. The UCS of the dry rock was 33.86 MPa. It is worth mentioning that the mudstone soaked in water broke completely and we could not obtain its UCS, elastic (4) t = a + be −c×  (Fig. 10). When the KCl concentration reached 8%, the UCS of the mudstone increased to 13.33 MPa, the elastic modulus increased to 1.48 GPa, and Poisson's ratio decreased to 0.27. Although the KCl had a strong inhibitory effect on swelling, the UCS and elastic modulus of the 8% KCl-soaked sample were both more than 50% lower than those of the dry rock. Figure 11 shows the failure states of the mudstone samples soaked in various KCl concentrations after UCS testing. The mudstone soaked in the water broke completely, and UCS testing could not be carried out, and the failure state could not be obtained. By comparing Fig. 11 and the stress-strain curves in Fig. 9, it is clear that the dry rock underwent significant brittle failure. After the stress peaked, it dropped abruptly and splitting cracks appeared in the middle of the sample. Brittle failure can therefore be considered the failure mode for mudstone that did not undergo hydration. The failure mode for the mudstone soaked in the 8% KCl solution was similar to that of the dry rock; both samples exhibited brittle failure. However, the failure mode of the mudstones soaked in 2%, 4%, and 6% KCl solutions was clearly plastic failure. The Poisson's ratio of these samples (2%, 4%, and 6% KCl) was larger than that of the dry rock. The 8% KClsoaked sample had a Poisson's ratio above 0.3. After the stress peaked in these samples, the stress decreased gradually rather than declining sharply. These factors are all signs of plastic failure. The cracks in these samples were complex, and the sample soaked in 2% KCl appeared to contain more horizontal cracks.

Discussion
The swelling capacity of smectite in our samples was very obvious after soaking in water, as it is the main clay mineral that causes swelling and weakening in mudstone. However, the swelling effects of other minerals on the overall rock strength should not be neglected. The illite and illite-smectite mixed layer clays both have the capacity to swell and weaken the mechanical characteristics of the rock. The volume of the illite when soaked in water could increase by 50-60% (Du et al. 2018;Horsrud et al. 1998). The mudstone used in this study contained 27.4% clay minerals, of which 52% was illite and 38% was illite-smectite mixed layer clays. The mudstone that was soaked in water swelled extensively and softened to the point where the rock strength could not be tested. However, the KCl solutions had a good inhibiting effect on the mudstone. With increased KCl concentration, the rock strength

Summary and conclusions
We conducted a set of experiments to investigate the effect of inhibitor KCl on smectite-poor mudstone. The results show that smectite-poor mudstone still has the capacity to exhibit strong swelling and softening characteristics when soaked in water. The KCl is able to inhibit the hydration of smectitepoor mudstone and led to the following conclusions.
• For water contents above 6%, KCl had an inhibiting effect on swelling and water absorption of the mud-

Compliance with ethical standards
Conflict of interest The authors declare no conflict of interest.
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