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Article

Characteristics of Deformation and Damage and Acoustic Properties of Sandstone in Circular Tunnel Morphology under Varying Inundation Depths

1
Heilongjiang Ground Pressure and Gas Control in Deep Mining Key Laboratory, Heilongjiang University of Science and Technology, Harbin 150022, China
2
Baotailong New Material Co., Ltd., Qitaihe 154604, China
*
Author to whom correspondence should be addressed.
Water 2024, 16(20), 2938; https://doi.org/10.3390/w16202938
Submission received: 3 September 2024 / Revised: 12 October 2024 / Accepted: 14 October 2024 / Published: 15 October 2024

Abstract

:
When water damage occurs in a mine, variations in the immersion levels of tunnels at different burial depths can be observed. There is a significant relationship between the stability of the surrounding rock and the depth of immersion. Therefore, studying the deformation and damage characteristics of sandstone with circular holes at varying immersion depths, along with their acoustic properties, plays a crucial role in maintaining the stability of water-rich roadways. The TAW-2000 press and static strain system were utilized to investigate the mechanical properties, crack evolution, and deformation field distribution of sandstone with circular holes at varying immersion depths. Additionally, this study analyzed the impact of immersion depth on the characteristic parameters of acoustic emission. The results indicate that immersion depth is negatively correlated with the compressive strength and modulus of elasticity of sandstone; as immersion depth increases, the duration of the compression and yield phases of the rock samples also increases, while the duration of the elastic phase remains relatively unaffected. Furthermore, greater immersion depths correspond to a decrease in the total number of cracks, although the proportion of tensile cracks increases, making the formation of secondary cracks less likely. The frequency of acoustic emission events (transient elastic waves generated by the formation, extension, or closure of tiny cracks within the rock) shows a closely correlated dynamic with the stress–time curve of the rock sample. The acoustic emission ringing counts generated by rock samples under submerged water conditions tend to stabilize with a slight increase before signs of rupture appear. Additionally, the cumulative total energy of acoustic emissions from the rock samples decreases as the water level rises. These research findings provide significant reference value for addressing issues related to water immersion and the extent of water saturation in roadways within rock engineering.

1. Introduction

With the gradual development of mining activities in large water mines characterized by extremely complex hydrogeological conditions, the rock formations in these mines are typically situated in environments rich in groundwater. The presence of water significantly weakens the mechanical properties and structural stability of the rock [1,2]. When the groundwater level around the roadway rises or during heavy rainfall, water can easily penetrate and fill the roadway, leading to prolonged soaking and even saturation of the surrounding rock. Such environmental conditions severely impact the physical and mechanical properties of the rock, including its strength, bearing capacity, and deformation characteristics, thereby posing significant challenges to the stability of the roadway. Due to the varying water levels of the submerged roadway, the extent of damage to the roadway also differs significantly. To ensure that the sandstone in circular roadway formations maintains stability and safety under varying depths of submergence, this paper conducts an analytical study on the deformation, damage characteristics, and acoustic emission properties of sandstone containing circular roadways at different submergence depths. This research is highly significant for addressing issues related to the submergence of roadway peripheral rock in geotechnical engineering.
The issue of tunnel inundation is a significant focus in contemporary geotechnical engineering research and has garnered the attention of numerous scholars both domestically and internationally. Zhao Zenghui et al. [3] analyzed the stability of weakly cemented soft rock tunnel perimeter rock under the combined effects of a water environment and non-uniform ground pressure. They found that various factors exacerbate the instability of perimeter rock in high-humidity conditions. Li Bo et al. [4] investigated and managed the instability of coal bed roadways in complex water environments, concluding that the surrounding rock experiences a substantial reduction in strength due to water exposure. Additionally, some researchers examine the mechanical and acoustic changes in rock samples resulting from water body disturbances through experiments related to rock mechanics. Wu Baoyang et al. [5] concluded that the uniaxial compressive strength and modulus of elasticity of intact and fissured sandstone decrease with an increasing number of water immersion cycles, as demonstrated through uniaxial compressive experiments on sandstone subjected to multiple water immersions. Xia Dong et al. [6,7,8] investigated the mechanical characteristics and acoustic properties of water-saturated sandstone with varying immersion durations. Their findings, derived from uniaxial compression tests and acoustic emission tests, indicated that the pattern of cumulative acoustic emissions aligns with the internal damage evolution in the rock samples. Xiao Fukun et al. [9] examined the mechanical properties of dry and water-saturated pore rock samples under cyclic loading, concluding that the failure of rock samples in dry conditions is significantly less than that in water-saturated conditions. Tan Tao et al. [10] analyzed the mechanical properties of sandstone in both dry and water-saturated states using triaxial compressive tests, finding that damage in water-saturated sandstone is more pronounced under varying peripheral pressures, resulting in the formation of more cracks. Jiang Lisong et al. [11] studied the acoustic emission characteristics of shale with different water contents during uniaxial compression tests, concluding that shale specimens with varying water content generate acoustic emission signals during compression. Wang Yunfei et al. [12] determined that water-saturated sandstone can mitigate the effect of loading rate on the development of microscopic tensile fractures by investigating the influence of loading rate and water saturation on the mechanical behavior and microscopic damage characteristics of sandstone. Through experimental studies on the tensile properties of coal rock under pressurized water immersion, Yin Dawei et al. [13] concluded that the interaction between water and coal rock intensifies with increased water immersion pressure, compromising the initial energy storage structure of coal samples. Fang Jie et al. [14] examined the impact of water content on the strength damage and acoustic emission characteristics of muddy siltstone, concluding that water action causes internal damage to muddy siltstone samples, weakening the cementation between rock particles and leading to a decrease in uniaxial compressive strength and elastic modulus. Zhao Lizai et al. [15] conducted softening tests on the mechanical properties of water-saturated sandstone, concluding that the mechanical properties of sandstone gradually weaken with increased water saturation.
The aforementioned scholars primarily focus on studying the impact of water-rich conditions on tunnel damage to analyze corresponding prevention and control measures. They also conduct relevant physical experiments to examine the mechanical and acoustic emission characteristics of water-saturated rock samples, emphasizing the effects of submergence frequency and duration on the compressive and tensile strengths, modulus of elasticity, and the variations in acoustic emission characteristics of the rock samples [16,17,18,19]. In practical engineering applications, the perimeter rock of a tunnel can become submerged, and due to varying water levels and the inability to pump out water promptly [20,21,22,23,24], significant differences in the mechanical properties of the surrounding rock may arise. Therefore, this paper systematically investigates the mechanical and acoustic emission characteristics of sandstone in circular roadway formations under varying depths of immersion. The research findings offer valuable insights for addressing practical challenges when the surrounding rock of a roadway is subjected to different water levels.

2. Experimental Equipment and Programs

2.1. Experimental Rock Sample Preparation

To maximize the geometric properties of the rock samples, the sandstone was machined into rectangular specimens measuring 100 mm × 100 mm × 25 mm, and their surfaces were polished to a smooth finish. The wave velocity of the sandstone was tested using an ultrasonic testing system, and several similar rock samples were selected. Using waterjet cutting technology, circular holes with a diameter of 12 mm were cut into the prefabricated rectangular rock samples to simulate circular channel morphology. The samples were categorized based on their depth of immersion, classified as bottom plate immersion, middle plate immersion, and top plate immersion. Additionally, the sandstone samples were numbered using the format ‘letter-number’.

2.2. Test Equipment and Experimental Program

The control and acquisition of the test primarily involve a strain acquisition system, an acoustic emission acquisition system, and a test loading and control system. These components work in unison to effectively record the development of rock crack initiation points and manage fluctuations in the submerged water level. To achieve better control over the water level, the test loading and control system is designed with a closed tank. Additionally, a high-speed video camera is positioned to capture the entire experimental process, as illustrated in Figure 1. During the test, the three systems are synchronized to ensure consistent monitoring intervals, facilitating the processing and analysis of subsequent data [25,26].
To ensure that the specimen was in a dry state, it was placed in an oven at 105 °C for 12 h. Subsequently, the water content of the rock samples was monitored over time. The water content increased rapidly from 0 to 2 h, rose slowly from 2 to 4 h, and stabilized after 4 h. To guarantee that the samples were in a fully saturated state, they were immersed for 5 h. The curves depicting the changes in mass and water content of the rock samples during immersion are shown on the right side of Figure 1. Afterward, eight strain gauges were affixed to the surface of the rock sample in both axial and radial directions, positioned in near-field and far-field locations. Silica gel was applied on top to prevent the strain gauges from being affected by water. Additionally, two acoustic emission probes were attached to either side of the sample, and the effectiveness of the acoustic emission signal reception was evaluated using the broken lead method. At the beginning of the experiment, the loading and control system was set to a displacement rate of 0.002 mm/s. The acoustic emission acquisition system and the strain acquisition system were synchronized, and a high-definition video camera was positioned to record the rupture morphology of the rock samples. The four tasks are recorded simultaneously until the rock sample is completely fragmented during the recording process. The experimental flowchart is illustrated in Figure 2. Schematic diagrams depicting the immersion states of the specimens at various water depths are presented in the lower section of Figure 1. These diagrams represent three typical forms of immersion: bottom plate immersion, middle immersion, and top plate immersion.

3. Results

3.1. Mechanical Characterization of Sandstone under the Influence of Submersion Depth

Sandstones often contain a class of minerals that are particularly susceptible to weakening due to water. When subjected to water infiltration, these minerals can alter the internal structure of the rock, impairing the bonding between particles and loosening the overall structure, which ultimately diminishes its mechanical performance. The softening of the rock becomes increasingly pronounced as the depth of water infiltration increases. To investigate the changes in compressive strength and deformation properties during this process—especially in rocks containing circular holes—a series of uniaxial compression experiments were designed and conducted, encompassing various water immersion depths. The primary objective of these experiments is to analyze how the uniaxial compressive strength values, modulus of elasticity, and other key physico-mechanical indices of sandstones with circular holes are affected by variations in water immersion depth. Based on the experimental data, we plotted the complete stress–strain relationship of the saturated rock samples under different immersion durations, as illustrated in Figure 3, thereby visualizing the dynamic relationship between these parameters [27,28,29,30].
Figure 3 clearly illustrates that the depth of water immersion significantly influences the mechanical response of sandstones containing circular holes under uniaxial compression. As the duration of submergence increases, the trajectories of the complete stress–strain curves for these rock samples transition markedly from typical elastic deformation to nonlinear deformation characteristics. Specifically, under shallow submergence conditions, the sandstone with circular holes exhibits high uniaxial compressive strength and distinct brittle fracture characteristics during failure. This observation reveals that the internal structure of the rock still maintains a high degree of integrity and thus has the ability to withstand externally applied pressure. When the depth of submergence is increased to a moderate level, the curves display a notable downward section after reaching peak compressive strength, suggesting that the samples retain a certain degree of load-bearing capacity post-peak stress, although they are unable to resist further pressure. As the water immersion depth increases to a more significant level, a pronounced decline occurs after the peak compressive strength is achieved. This indicates that the rock samples have surpassed peak stress; while they still possess some load-bearing capacity, they exhibit more pronounced plastic deformation, with an increase in deformation compared to the case of bottom plate submergence, demonstrating stronger ductile damage characteristics. When the water immersion depth is further increased to the top plate, the slope of the ascending portion of the stress–strain curve decreases further, implying that the samples begin to accumulate greater deformation in the early stages of loading. After reaching peak strength, the curve does not drop sharply but instead undergoes a relatively gentle transition before gradually declining. This behavior indicates that the rock samples retain a considerable degree of residual strength after failure, with significantly enhanced deformation capacity and more pronounced toughness characteristics. This process clearly demonstrates that increased immersion depth facilitates the transformation of sandstone mechanical behavior from brittle to ductile.
The blue, green, and red areas in Figure 3 represent the compaction stage, elasticity stage, and yielding stage, respectively. The blue line segment indicates the onset of the elasticity stage for the rock samples at three different immersion depths, while the red line segment marks the conclusion of the yielding stage. Observations reveal that as the immersion depth of the rock samples increases, both the onset of the elasticity stage and the conclusion of the yielding stage shift progressively backward. However, the duration of the elasticity stage remains nearly constant across all three samples. This suggests that while increased immersion depth extends the compaction and yielding phases of the rock samples containing round holes, it has minimal impact on the duration of the elasticity phase.
Figure 4 illustrates the uniaxial compressive strength, maximum peak strain, and modulus of elasticity curves for sandstone rock samples containing circular holes at various immersion depths. The analysis reveals that the uniaxial compressive strength of sandstone is 76.29 MPa, with a peak strain of 1.52% under bottom plate immersion. Under middle plate immersion, the uniaxial compressive strength decreases to 71.04 MPa, representing a 6.88% reduction compared to the bottom plate immersion, while the peak strain increases to 1.60%, which is 8% higher than that of the sample under bottom plate immersion. Furthermore, the uniaxial compressive strength of sandstone under top plate immersion is 62.93 MPa, indicating an 11.42% decrease compared to the middle plate immersion, with a peak strain of 1.78%, which is 11.25% higher than that of the samples under middle plate immersion. As the immersion depth increases, both the uniaxial compressive strength and the elastic modulus of the sandstone with circular holes significantly decrease, while the peak strain gradually increases. Notably, the greater the immersion depth of the rock samples, the more rapidly the uniaxial compressive strength declines, and the peak strain correspondingly increases. This trend suggests that as the water immersion depth increases, the structure of the sandstone becomes progressively looser due to higher water saturation, leading to an increase in pore space and fissures. Consequently, the rock experiences greater deformation during compression before reaching the failure point. The increase in peak strain indicates that the rock can endure greater deformation prior to damage, despite a reduction in its load-bearing capacity (compressive strength). The water-saturated portion of the rock contributes to structural damage; as applied pressure increases, the formation of additional cracks and pores allows water to infiltrate, creating a ‘lubrication’ effect that reduces internal friction. This reduction in internal friction diminishes the cohesive properties of the rock, resulting in a decrease in the overall modulus of elasticity as immersion depth increases. This phenomenon is the primary cause of the observed decrease in the modulus of elasticity.

3.2. Characteristics of Sandstone Deformation under the Influence of Submergence Depth

Under submerged water conditions, the deformation characteristics of sandstone rock samples containing round holes will vary significantly when subjected to the same force. This difference is attributed to the varying water depths in the roadway caused by different water levels. Underwater immersion, the initial fine cracks in the rock samples will change. As the immersion time increases, the microstructure of the rock samples will become looser, leading to damage in the bonding of the rock sample particles. Consequently, the mechanical properties will weaken, and the rock samples will gradually soften. By analyzing the change in rule between the radial and axial directions of the circular roadway in the bottom plate, top plate, and overall immersion at different water depths, a time–strain curve is plotted, as depicted in Figure 5 [31].
Circular channel morphology sandstone is under pressure in the depth of water to the bottom plate. According to Figure 5a, the maximum axial strain is 6%−3, and the minimum is about 5%−3. The far-field strain detection point, far from the center of the channel, detected a larger strain than the near-field detection point. The submerged part of the strain, both in the far-field and near-field, is greater than the non-immersed part of the strain. According to Figure 5b, it can be seen that among the radial strains under the subgrade immersion, the radial strain in the non-immersed part of the far-field is the largest at about 4.5%−3, while the radial strain in the immersed part of the near-field is the smallest at about 1.5%−3. Additionally, during the compression process, the strain of the non-immersed part increases more rapidly, resulting in a larger strain.
The sandstone exhibiting circular pore morphology is subjected to pressure at water depths up to the midpoint, as illustrated in Figure 5c. In this figure, the near-field non-immersed region experiences the highest strain, with a maximum axial strain of approximately 8%−3 to 3%−3. Conversely, the near-field immersed region shows the lowest strain, with an axial strain of about 1.5%−3 to 3%−3. The two far-field strain detection points, located farther from the circular channel, exhibit more similar strain values, both around 4%−3 to 3%−3. According to Figure 5d, the near-field immersed region has the largest radial strain, measuring approximately 3.5%−3 to 3%−3. The far-field non-immersed region displays the smallest axial strain, with a radial strain of about 1.2%−3 to 3%−3. Additionally, the far-field immersed region shows a radial strain similar to that of the far-field non-immersed region, indicating that the radial strains of both areas are quite comparable.
As shown in Figure 5e, the circular channelized morphology of the sandstone experienced complete submergence pressurization. The radial strain in the upper part of the near field is the largest, measuring approximately 7.5%−3, whereas the axial strain in the lower part of the far field is the smallest, at around 1%−3. According to Figure 5f, the radial strain in the upper part of the near field is the largest, with an axial strain of about 4%−3, while the radial strain in the upper part of the far field is the smallest, with an axial strain of about 1%−3.
Through the comprehensive analysis of the time–strain curves at various immersion depths, it is observed that the strain of the sandstone specimens with rounded channel morphology deviates locally during bottom immersion and full immersion. This deviation may be attributed to the pressurization of the specimen under water, causing slight displacement of the monitoring point initially. The strain curves of the rock samples under three different water depth immersions are consistent with the fissure evolution pattern of the rock samples. The uniaxial compressive tests conducted on the rock samples under water immersion conditions revealed that the axial strain was consistently greater than the radial strain, regardless of the level of water immersion. The deformation curves of the rock samples were smoother during the compression-tightening stage. Upon entering the elastic stage, the friction between the cracks of the rock samples decreased as a result of the significant immersion in water. The strains were influenced by the water, causing irregular fluctuations in the axial and radial strain curves. Water alters the pore structure and permeability of the rock, resulting in modifications to the rock’s deformation properties [32]. Increasing the depth of immersion will make the deformation of the rock samples more significant.

3.3. Characteristics of Sandstone Damage under Different Immersion Depths

In order to analyze the influence mechanism of crack propagation in sandstone containing circular holes under submerged water conditions during the rock damage process, the crack extension paths and mechanisms of rock samples were examined by extracting images of crack propagation at various submerged water depths.
To better analyze the effects of submerged water conditions on the damage to sandstone with circular holes, the diagrams are sequentially marked to indicate the order of crack generation and the type of crack (tensile or shear) for quantitative analysis and assessment. The letters in Figure 6 denote the types of cracks: A represents a shear crack, which typically extends from the edges of the holes in the rock samples and propagates toward the edges of the samples, with the direction of propagation being diagonal, either upward or downward. B denotes a tensile crack, which occurs when the rock samples experience tensile stresses in both upward and downward directions, usually extending along the axial direction. This tensile crack may deviate to some extent when subjected to various external conditions [33,34,35,36]. The angular numbers indicate the chronological order of crack generation. The red line segments represent shear cracks, the blue line segments represent tensile cracks, and the dashed lines indicate secondary cracks formed during crack propagation.
Under submerged water conditions at the base plate, the damage diagram of the rock sample is illustrated in Figure 6a. During the process of applying axial gradual pressure, a shear crack A1 emerged from the left side of the hole, extending toward the upper left. As the crack propagated, a second shear crack A2 developed, extending toward the lower left, followed by another shear crack A3 that formed on the right side of the hole, extending toward the lower right. With the instability of the upper part of the sample, new cracks formed in the area below the hole, including two tension cracks B4 and B5 that extended from the top to the bottom, along with several secondary cracks. The damage schematic diagram of the rock sample, which features a circular hole morphology in sandstone under central submerged water conditions, is presented in Figure 6b. Initially, a shear crack A1 formed in the region below the hole. As the loading pressure gradually increased, a tensile crack B2 appeared, extending to the upper right from the right side of the hole. Subsequently, a second tensile crack B3 developed, extending upward during the propagation process. Additionally, new cracks B4 and B5 extended to the upper left from the right side of the hole, accompanied by several secondary cracks originating from the upper side of the hole. A tensile crack B4 also extended to the upper left, and the final shear crack A5 was generated in the last stage of the sample rupture. The damage schematic of the rock sample, featuring a circular hole morphology in sandstone under top plate flooding conditions, is depicted in Figure 6c. A total of three main cracks were generated, all extending from the holes to various regions of the rock sample. The first crack, a shear crack A1, extended from the left to the upper left. This was followed by two tensile cracks: B2, extending to the upper right, and B3, extending to the upper left in the upper part of the hole. All three cracks were relatively concentrated in the upper part of the rock sample, which remained unsaturated.
The analysis was conducted at three different submergence depths, with pressure applied at the water depth submerged to the bottom plate. Water infiltrated the rock body, resulting in water-induced splitting and fracturing below. The rock samples surrounding the holes experienced local softening, which adversely affected their overall compressive strength. When pressurized at the water depth submerged to the middle, water penetrated the rock body to a greater extent. The portion of the rock that remained above the water was significantly more brittle than the submerged section, resulting in the formation of smaller cracks. However, the primary cracks leading to overall structural imbalance were still located in the submerged area, indicating that the water-saturated portion is more susceptible to damage than the dry part. In the case of complete submergence, the rock was entirely saturated with water. This water absorption led to an increase in the volume of the rock samples, which in turn raised the internal stress and made the formation of tensile cracks within the rock samples more likely. It is evident that as the submergence depth increases, the rock samples become increasingly prone to tensile cracks, while the number of secondary cracks that develop during the crack propagation process gradually decreases.
To thoroughly investigate the extension characteristics of cracks at various developmental stages, we utilized the RA (rise time/amplitude) and AF (average frequency) values from the acoustic emission technique as analytical tools to systematically quantify and analyze the damage patterns of cracks. We selected several sandstone samples exhibiting circular pore characteristics for the immersion test and processed the acoustic emission data points collected during the experiment. Subsequently, we plotted these data points on RA-AF diagrams for visual representation [37,38]. Based on the distribution characteristics of the acoustic emission signals under two distinct rupture mechanisms—tension and shear—we clearly delineated a dividing line on the RA-AF diagrams to differentiate between these two damage modes. Furthermore, we calculated the slope of this demarcation line to be 5.48, a result clearly illustrated in Figure 7. Through this analysis, we gained a more precise understanding of the crack extension mechanism and its characteristics at different stages.
From the analysis of the percentages of crack types, it is evident that under bottom plate immersion, the percentage of tensile damage points is 31.4%, which is significantly lower than the percentage of shear damage points. Under middle plate immersion, the percentage of tensile damage points rises to 47.1%, approaching the percentage of shear damage points. In contrast, under top plate immersion, the percentage of tensile damage points increases to 51.6%, surpassing the percentage of shear damage points. By comparing the damage patterns of rock samples at different immersion depths, as illustrated in Figure 7, shear and tensile cracks can be clearly distinguished. Observations of each type of damage point indicate that as immersion depth increases, the tensile damage in sandstone rock samples containing round holes progressively intensifies.
Some scholars have reached a consensus that the proportion of tensile cracks in rocks tends to increase as the height of water ingress rises. However, through careful observation and analysis presented in this paper, we have identified a more complex phenomenon: while the number of tensile cracks does increase with greater immersion depth, the growth rate does not continuously accelerate. Instead, it exhibits a trend of gradual decline as immersion depth increases. This finding indicates that the relationship between immersion depth and the expansion rate of tensile cracks is not a simple linear correlation. Rather, it suggests the involvement of more intricate physical and chemical mechanisms, which may include the gradual adaptation of the rock’s internal structure, the osmotic pressure effects of water, and the mechanical properties of the rock material itself. Therefore, future studies should further investigate these mechanisms to achieve a more comprehensive understanding of how immersion depth influences the behavior of tensile crack propagation in rocks.

3.4. Acoustic Emission Characteristics of Sandstone under Different Immersion Depths

During the fracture process, rock accumulates internal strain energy, which is manifested through complex transformations and intermittent releases. The acoustic emission monitoring system can detect the acoustic emission signals generated during the rock damage process. This signal information accurately reflects the expansion of cracks and the extent of damage within the rock. The acoustic emission characteristics of sandstone containing circular holes also exhibit variations at different immersion depths. Acoustic emission ringing counts and cumulative energy are selected as parameters to analyze the intrinsic relationship between the acoustic emission characteristics of sandstone with circular holes and rock damage under varying immersion depths [39,40,41,42]. To ensure that the overall characteristics are accurately represented, the most representative test results under different immersion depth conditions are selected for analysis. Based on the test data, time–stress–acoustic emission ringing counts–cumulative energy curves are plotted, as shown in Figure 8. To better illustrate the relationship between immersion depth and acoustic emission phenomena, the curves are divided into four phases: the compression-tightening phase, the elasticity phase, the yielding phase, and the post-peak stage, allowing for a detailed analysis of their main features.
It can be observed from Figure 8 that all water-immersed rock samples exhibit acoustic emission phenomena to varying degrees throughout all stages of the pressurized damage process. The maximum acoustic emission ringing counts for all samples occur near the peak stress; however, notable differences are evident among the samples at varying depths of immersion across the different stages.
In the OA stage (the compaction stage), purple part, a small amount of acoustic emission phenomena occurs in both bottom-immersed and middle-immersed circular pore-bearing sandstones, while acoustic emission signals from top-immersed circular pore-bearing sandstones are almost nonexistent. The acoustic emission ringing frequency of sandstones under bottom-flooded conditions is approximately one to three times greater than that of sandstones flooded in the center and six to nine times greater than that of sandstones flooded at the top. As the duration of submergence increases, the acoustic emission phenomena of sandstones under the three different submergence depth conditions decrease to varying degrees. This reduction can be primarily attributed to the relatively low stress levels in the rock samples during the compression and densification stage. When pressure is applied, the original small cracks within the rock samples begin to close. During this closure process, damage occurs between the rock cracks, and some friction between rough particles generates a small amount of acoustic emission. Additionally, the presence of water leads to the immersion of cracks, resulting in the softening of the rock. Water also reduces sound propagation, which contributes to the lower acoustic emission ringing counts. As immersion time increases, the softening effect of water on the rock intensifies, further decreasing the acoustic emission phenomena.
The AB stage, green part, also known as the elasticity stage, is characterized by minimal acoustic emission phenomena in the rock samples situated between the middle and top plates during water immersion. This stability arises because, at this stage, the rock primarily undergoes elastic deformation, with minimal plastic deformation occurring. As a result, the generation of acoustic emission signals is limited. While the rock samples at the bottom plate also tend to stabilize during water immersion, slight fluctuations may occur in the middle section. These fluctuations could be attributed to minor detachment of the surface rock layer in the circular hole sandstone, which may generate some acoustic signals.
In the BC stage (yielding stage), yellowish part, damage accumulation contains precursor information indicative of instability. It is observed that during the yielding stage, the acoustic emission counts of the rock samples decreased significantly with increasing immersion depth. Slight fluctuations in the acoustic emission ringing counts of the middle submerged rock samples suggest that crack initiation and expansion during this phase contributed to the accumulation of acoustic emission ringing counts. Additionally, the acoustic emission signals decreased with prolonged submergence time, indicating that the softening effect of water on the rock samples suppressed the generation of these signals. At both the bottom and top slab immersion depths, the acoustic emission signals of the rock samples did not fluctuate significantly. This is likely because this stage represents the initial phase of energy accumulation, where the stress and energy within the rock are insufficient to reach the critical threshold for rupture or significant deformation, resulting in minimal acoustic emission activity. Furthermore, under submerged conditions, water infiltrates the pores and fissures of the sandstone, providing a buffering effect that slows the concentration of stress. Consequently, this reduces stress concentration and crack propagation during the compaction stage, leading to a decrease in the generation of acoustic emission signals.
The post-peak stage, which follows point C, lilac part, exhibits more pronounced acoustic emission signals in sandstones with circular pore morphology at varying submergence depths. Following the destabilization and damage of the rock, a significant amount of energy accumulated during the previous stage is released instantaneously. This release, along with localized damage and particle spalling within the rock, generates additional acoustic emission signals. Under submerged conditions, water acts as a lubricant for crack propagation, facilitating the extension of cracks and resulting in more frequent localized damage. Stress redistribution occurs within the rock, as stresses that were initially concentrated in specific areas are released and transferred to other regions, leading to the initiation of new crack extensions and further damage. This dynamic alteration in stress levels produces a substantial increase in acoustic emission signals, which are significantly higher than those observed during the pressure-tight, elastic, and yield stages.
The cumulative acoustic emission energy of sandstone containing circular roadway holes at various immersion depths is illustrated in Figure 8. It is evident that the total cumulative acoustic emission energy of the rock samples decreases as the immersion depth increases. Notably, the total energy of the rock samples subjected to deep immersion in the bottom plate water is the highest, measuring 742,547, while the total energy of the rock samples under full immersion is the lowest, at 113,172.
Taking the above analyses into account, we can conclude that the change in the acoustic emission ringing counts demonstrates a high degree of consistency with the damage evolution law within the rock samples. Under submerged conditions, the inherent damage of the rock samples significantly influences the fluctuations in the acoustic emission signal as pressurization time progresses. Additionally, the softening and suppressive effects of water also play a crucial role in these fluctuations. Although the depth of immersion has a complex impact on the acoustic emission signals of sandstone specimens with circular pore morphology, a general trend emerges: the cumulative energy of acoustic emission decreases as the depth of immersion increases.
The study conducted by Zihui Zhu [43] and other researchers found that in a dry state, the acoustic emission energy curve typically progresses through three phases: smooth, slow rise, and sudden rise. However, as water content increases, the distribution characteristics of these three stages change significantly. Notably, in a water-saturated state, the acoustic emission energy curve is nearly simplified to just two phases: a smooth increase and a sudden increase. By examining the acoustic emission curves under submerged conditions, we also observe that variations in immersion depth influence the pattern of acoustic emission activity. Specifically, during the ‘smooth’ phase, the number of acoustic emission events decreases as immersion depth increases, resulting in smoother behavior during this phase. These findings provide a crucial experimental foundation for a deeper understanding of the mechanical behavior and damage evolution of rocks under submerged conditions, revealing the mechanisms by which submergence depth and water content affect the acoustic emission activity of rocks.

4. Discussion

(1) The experimental results indicate a significant influence of immersion depth on the mechanical properties of sandstone with a circular pore morphology. Both the uniaxial compressive strength and the modulus of elasticity of the sandstone decreased markedly as the water immersion depth increased. This reduction may be attributed to the rise in pore water pressure within the rock samples caused by the immersion, which subsequently diminishes the bearing capacity of the samples. Additionally, the gradual increase in peak strain may suggest an enhanced capacity for plastic deformation in the rock samples under conditions of water immersion.
(2) The influence of water infiltration on strain monitoring should not be overlooked, as it can lead to deviations in strain data, thereby affecting the accurate assessment of the mechanical properties of rock samples. Consequently, the impact of water intrusion on monitoring data must be thoroughly considered when conducting relevant experiments, and appropriate measures should be implemented to correct the data.
(3) The observation of crack extension provides crucial insights into the damage mechanisms of sandstone under water immersion conditions. The percentage of tension damage points gradually increased with greater immersion depth, likely due to the reduced friction between cracks within the rock samples caused by water immersion, which facilitates the formation of tension cracks. Additionally, the decrease in the number of secondary cracks may indicate a gradual homogenization of the damage pattern in the rock samples under these conditions.
(4) The reduction in cumulative acoustic emissions from the rock samples, along with its correlation to the development of internal damage, further substantiates the impact of immersion depth on the mechanical properties of sandstones. The decline in total cumulative acoustic emission energy as immersion depth increases may be attributed to the gradual accumulation and progression of internal damage within the rock samples. Consequently, the effect of immersion depth on the mechanical properties of sandstone must be thoroughly considered in related research and engineering applications to ensure the safety and stability of projects.

5. Conclusions

(1) The uniaxial compressive test of rock samples with round holes at varying immersion depths reveals several key findings. The uniaxial compressive strength of sandstone under bottom plate immersion is 76.29 MPa, with a peak strain of 1.52%. Under middle plate immersion, the uniaxial compressive strength of the sandstone decreases to 71.04 MPa, which is 6.88% lower than that of the samples under bottom plate immersion. However, the peak strain increases to 1.60%, representing an 8% increase compared to the bottom plate immersion samples. For sandstone under top plate immersion, the uniaxial compressive strength further declines to 62.93 MPa, which is 11.42% lower than that of the middle plate immersion samples. The peak strain in this case rises to 1.78%, indicating an 11.25% increase over the middle immersion samples. Overall, as immersion depth increases, both the uniaxial compressive strength and elastic modulus of the sandstone with round holes significantly decrease, while the peak strain gradually increases. Notably, the greater the immersion depth of the rock sample, the more rapidly its uniaxial compressive strength diminishes, and the more quickly the peak strain escalates. The depth of immersion leads to elongation of the compaction and yield phases of samples containing circular holes, but does not have an excessive effect on the duration of the elastic phase.
(2) When sandstone rock samples are pressurized in water at different immersion depths, water percolation leads to partial deviations in strain monitoring. The strain curves of the rock samples under three different water immersion depths are consistent with the fissure evolution pattern of the rock samples. The uniaxial compressive tests on rock samples under water immersion conditions showed that the deformation curves of the rock samples were relatively smooth in the compression-tight stage, and when entering the elasticity stage, the friction between the cracks of the rock samples was reduced due to the extensive immersion of the water body. The strains were affected by the water body, which led to irregular fluctuations in the axial and radial strain curves.
(3) The crack extension of the rock samples containing round holes is 31.4% of the tensile damage points in the bottom plate, which is much lower than the percentage of shear damage points; it is 47.1% of the tensile damage points in the middle plate, which is close to the percentage of shear damage points, and 51.6% of the tensile damage points in the top plate, which is higher than the percentage of shear damage points. With the increase of water immersion depth, the tensile damage points of sandstone with circular hole pattern also increase, which is more likely to produce tensile cracks, and with the gradual increase of water immersion depth, the number of secondary cracks will be gradually reduced.
(4) The cumulative number of acoustic emissions of the rock samples decreases with the increase of water immersion depth. The curve of the cumulative number of acoustic emissions reflects the stage-by-stage law of the evolution of internal damage of the rock samples at different immersion times, which has a consistent correspondence with the degree of internal damage of rock samples, and the total cumulative energy of acoustic emissions of the rock samples decreases with the increase of the depth of the water level.
(5) This study primarily focused on sandstone rock samples exhibiting circular pore morphology and did not consider rocks with other shapes, materials, or structures; therefore, the generalizability of the results may be limited. Additionally, the experimental conditions (e.g., immersion rate, temperature, and water quality) may influence the results, but these factors were not thoroughly investigated or controlled in this study. While the reduction in the number of acoustic emission accumulations and energy corresponds to the degree of internal damage in the rock samples, it does not provide a comprehensive exploration of the specific relationship between the acoustic emission signals and the changes in the rock microstructure. Furthermore, it does not address other factors (e.g., noise interference) that may impact the acoustic emission signals.

Author Contributions

G.L. and S.W. wrote the main text of the manuscript and the experimental data processing and summaries, while Y.Z., D.W. and Z.Y. were the co-authors responsible for collecting relevant information to organize the structure of the paper. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by Natural Science Foundation of Heilongjiang Province, grant number YQ2023E039; Basic Scientific Research Operating Expenses of Heilongjiang Provincial Universities and Colleges of China, grant number 2022-KYYWF-0554; Scientific and Technological Key Project of “Revealing the List and Taking Command” in Heilongjiang Province, grant number 2021ZXJ02A03, 2021ZXJ02A04.

Data Availability Statement

The datasets used and analyzed in this study can be provided by the authors Gang Liu and Shengxuan Wang according to reasonable requirements.

Acknowledgments

This research was supported by the Heilongjiang Ground Pressure and Gas Control in Deep Mining Key Laboratory, Heilongjiang University of Science and Technology.

Conflicts of Interest

Authors Gang Liu and Zhitao Yang were employed by the company Baotailong New Material Co., Ltd. The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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Figure 1. Experimental system.
Figure 1. Experimental system.
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Figure 2. Experimental flow chart.
Figure 2. Experimental flow chart.
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Figure 3. Stress−strain curves of sandstones with different immersion depths.
Figure 3. Stress−strain curves of sandstones with different immersion depths.
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Figure 4. Relationship between different immersion depths and mechanical characteristics of rock samples.
Figure 4. Relationship between different immersion depths and mechanical characteristics of rock samples.
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Figure 5. Time−strain curves under different water immersion depths.
Figure 5. Time−strain curves under different water immersion depths.
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Figure 6. Damage and failure diagram of rock samples under immersion at different depths.
Figure 6. Damage and failure diagram of rock samples under immersion at different depths.
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Figure 7. Distribution of acoustic emission RA−AF at different immersion depths.
Figure 7. Distribution of acoustic emission RA−AF at different immersion depths.
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Figure 8. Acoustic emission ringing count−stress−time curve of rock samples.
Figure 8. Acoustic emission ringing count−stress−time curve of rock samples.
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MDPI and ACS Style

Liu, G.; Wang, S.; Wang, D.; Yang, Z.; Zan, Y. Characteristics of Deformation and Damage and Acoustic Properties of Sandstone in Circular Tunnel Morphology under Varying Inundation Depths. Water 2024, 16, 2938. https://doi.org/10.3390/w16202938

AMA Style

Liu G, Wang S, Wang D, Yang Z, Zan Y. Characteristics of Deformation and Damage and Acoustic Properties of Sandstone in Circular Tunnel Morphology under Varying Inundation Depths. Water. 2024; 16(20):2938. https://doi.org/10.3390/w16202938

Chicago/Turabian Style

Liu, Gang, Shengxuan Wang, Dongwei Wang, Zhitao Yang, and Yonglong Zan. 2024. "Characteristics of Deformation and Damage and Acoustic Properties of Sandstone in Circular Tunnel Morphology under Varying Inundation Depths" Water 16, no. 20: 2938. https://doi.org/10.3390/w16202938

APA Style

Liu, G., Wang, S., Wang, D., Yang, Z., & Zan, Y. (2024). Characteristics of Deformation and Damage and Acoustic Properties of Sandstone in Circular Tunnel Morphology under Varying Inundation Depths. Water, 16(20), 2938. https://doi.org/10.3390/w16202938

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