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Keywords = triaxial compression

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22 pages, 23817 KB  
Article
Study on the Energy Evolution Law of Sandstone and Its Implications for Rockburst Prevention Considering Particle Effect Under Thermal Action
by Tianbin Li, Shuhao Qiu, Mengting Han, Ruichi Chang, Feng Zeng, Yan Zhang and Meiben Gao
Appl. Sci. 2026, 16(12), 5813; https://doi.org/10.3390/app16125813 - 9 Jun 2026
Viewed by 136
Abstract
Rockburst is one of the major geological hazards in the construction of deep-buried and high-geotemperature tunnels. Using triaxial compression tests and acoustic emission (AE) techniques, this paper conducts a preliminary exploratory investigation on the deformation and failure characteristics, mechanical parameters, acoustic emission responses [...] Read more.
Rockburst is one of the major geological hazards in the construction of deep-buried and high-geotemperature tunnels. Using triaxial compression tests and acoustic emission (AE) techniques, this paper conducts a preliminary exploratory investigation on the deformation and failure characteristics, mechanical parameters, acoustic emission responses and energy evolution laws of typical rockburst-prone rocks under confining pressures of 10–30 MPa and temperatures of 100–250 °C. The results show that within the research scope, sandstone exhibits brittle characteristics including compaction, linear elasticity, crack initiation and propagation, stable crack propagation stage, accelerated crack propagation stage, and stress drop stage. Within a certain range, peak strength and damage strength increase with the rise in confining pressure and temperature. The elastic modulus increases with rising confining pressure. The damage point may be the critical point of energy conversion and acoustic emission activity. After damage, the work done by external forces is mainly converted into dissipated energy. With the intensification of surrounding rock damage, the ratio of elastic strain energy to total energy gradually decreases, while the ratio of dissipated energy to total energy gradually increases. Acoustic emission activity increases significantly at the damage point and reaches its peak at the peak strength. The cumulative acoustic emission ring count and cumulative energy increase slowly before the peak and grow rapidly after the peak. Under thermo-mechanical action, new cracks in sandstone preferentially initiate along grain boundaries, and the inconsistent deformation between grains will promote the formation of transgranular cracks. The connection, convergence and final penetration of cracks lead to sample failure. The elevation of temperature and confining pressure can enhance the bearing capacity of sandstone, indicating that a high-temperature and high-stress environment may be conducive to the occurrence of rockbursts. The research results provide scientific support for an in-depth understanding of the mechanical behavior and instability risk of rockburst in deep-buried and high-geotemperature tunnels, and can provide a theoretical basis for rockburst prevention and control of high-geotemperature tunnels of the CZ Railway. Full article
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20 pages, 2745 KB  
Article
Evolution of Pore and Fracture Structure in Coal Under Mining-Induced Unloading Conditions
by Senlin Xie, Shuai Yang, Wenhao Jia, Yuting Chen, Yunteng Wang, Cunhan Huang and Zhengzheng Cao
Fractal Fract. 2026, 10(6), 391; https://doi.org/10.3390/fractalfract10060391 - 6 Jun 2026
Viewed by 193
Abstract
Understanding the evolution of pore and fracture structures (PFSs) in coal under mining-induced unloading is essential for the prevention and control of gas disasters in coal mines. In this study, coal specimens from the Dongqu Mine, Taiyuan, Shanxi, were subjected to online triaxial [...] Read more.
Understanding the evolution of pore and fracture structures (PFSs) in coal under mining-induced unloading is essential for the prevention and control of gas disasters in coal mines. In this study, coal specimens from the Dongqu Mine, Taiyuan, Shanxi, were subjected to online triaxial nuclear magnetic resonance (NMR) tests under constant axial compression and stepwise confining pressure unloading conditions. Based on the measured T2 spectra, the evolution of PFSs, permeability, and pore space complexity during unloading was investigated, and fractal theory was used to quantify the structural complexity of the pore system. The results show that large pores and fractures (LPFs) exhibit the most pronounced volume variation during unloading and are most sensitive to stress change. Small pores (SPs) contribute negligibly to permeability, whereas permeability is controlled primarily by medium pores (MPs) and LPFs. During unloading, neither SPs nor the overall pore system exhibits clear fractal characteristics, whereas MPs and LPFs display distinct fractal behavior. In addition, pore-volume evolution is inconsistent with fractal dimension variation, indicating that pore-volume change alone cannot adequately characterize PFS complexity. The complexity of the pore system is governed mainly by new pore generation, the expansion of existing pores and fractures, and the interaction between competing processes such as compaction and expansion. Full article
(This article belongs to the Section Engineering)
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21 pages, 4969 KB  
Article
Experimental Research on Geomechanical and Petrophysical Properties of Bedded Salt Rocks for Salt Cavern Gas Storage
by Hong Ke, Hongling Ma, Yebing Hong, Wenyuan Liu, Zhuo Ma, Longzhen Ren, Xiangqing Li, Jiaqi Yi and Yupeng Yue
Appl. Sci. 2026, 16(11), 5570; https://doi.org/10.3390/app16115570 - 2 Jun 2026
Viewed by 261
Abstract
Against the background of global carbon reduction initiatives and ongoing energy transition, this study addresses the technical challenges of constructing salt cavern storage facilities in bedded salt formations. Typical bedded salt rocks in Southwest China were taken as the research object, and systematic [...] Read more.
Against the background of global carbon reduction initiatives and ongoing energy transition, this study addresses the technical challenges of constructing salt cavern storage facilities in bedded salt formations. Typical bedded salt rocks in Southwest China were taken as the research object, and systematic core sampling and multi-dimensional laboratory tests were conducted to investigate their geomechanical and petrophysical properties. The tests included mechanical experiments such as direct shear, uniaxial and triaxial compression, as well as physical property measurements including permeability, porosity, SEM, XRD, and mercury intrusion porosimetry (MIP). The results show that halite exhibits excellent plasticity and tight sealing performance, interlayers have high compressive strength, and mudstone is characterized by significant brittleness. All lithologies possess low permeability and dense internal structures. For this reason, they are well suited for salt cavern energy storage utilization. Furthermore, the research findings provide key basic data and a solid scientific basis. This study supports the construction of salt cavern gas storage and compressed air energy storage (CAES) plants in bedded salt rock areas. Full article
(This article belongs to the Section Earth Sciences)
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22 pages, 4108 KB  
Article
Multi-Factor Integrated Geomechanical Fracability Evaluation of Ultra-Low Permeability Sandstone Reservoirs: A Case Study of the Chang 6 Formation in Block H
by Jian Shi, Xiaodong Chen, Jinsheng Zhao, Jun Yang, Xingang Zhang, Dong Hao, Chen Yang, Lin Chen and Mingyong Xu
Processes 2026, 14(11), 1783; https://doi.org/10.3390/pr14111783 - 29 May 2026
Viewed by 177
Abstract
Fracability evaluation is essential for hydraulic fracturing interval selection and stimulation optimization in ultra-low permeability sandstone reservoirs. Conventional brittleness-based methods derived from shale reservoirs are insufficient for characterizing fracture initiation difficulty, fracture propagation resistance, natural fracture interaction, and post-fracture conductivity in tight sandstone [...] Read more.
Fracability evaluation is essential for hydraulic fracturing interval selection and stimulation optimization in ultra-low permeability sandstone reservoirs. Conventional brittleness-based methods derived from shale reservoirs are insufficient for characterizing fracture initiation difficulty, fracture propagation resistance, natural fracture interaction, and post-fracture conductivity in tight sandstone formations. In this study, the Chang 6 ultra-low permeability sandstone reservoir in Block H was investigated by integrating triaxial rock mechanical testing, Kaiser acoustic emission stress measurement, FMI/MCI image-log interpretation, and logging-based dynamic-to-static mechanical parameter conversion. The results show that the reservoir is characterized by relatively high stiffness and strength, with an average static Young’s modulus, Poisson’s ratio, and compressive strength of 24.05 GPa, 0.21, and 131.97 MPa, respectively. The all-sample average maximum and minimum horizontal principal stresses are 35.70 MPa and 29.91 MPa, respectively. After excluding the anomalous C6-19 stress-memory response, the representative average σH and σh are 37.06 MPa and 30.95 MPa, respectively, with a representative stress difference of 6.12 MPa. A multi-factor integrated fracability index was established by considering brittleness, natural fracture development, compressive strength, equivalent fracture propagation resistance, and effective confining pressure. The average fracability indices of Wells L7 and L26 are 0.624 and 0.596, respectively, indicating relatively favorable fracturing potential. The proposed workflow provides a geomechanically constrained method for relative sweet-spot ranking and preliminary hydraulic fracturing design in ultra-low permeability sandstone reservoirs. Full article
(This article belongs to the Section Petroleum and Low-Carbon Energy Process Engineering)
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29 pages, 6194 KB  
Article
Microseismic Early Warning Process for Mine Roof Based on Multi-Algorithm Fusion
by Yunpeng Zhang, Qi Ma, Jiahui Du, Xinke Chang, Xue Li, Ti Yan, Shijian Zhang and Zhi Yang
Processes 2026, 14(11), 1765; https://doi.org/10.3390/pr14111765 - 28 May 2026
Viewed by 205
Abstract
Microseismic early warning for roof disaster in excavated coal roadways often suffers from low pertinence and a high false positive rate. This study establishes an intelligent early warning process based on unsupervised learning and a voting mechanism. True triaxial compression and drilling tests [...] Read more.
Microseismic early warning for roof disaster in excavated coal roadways often suffers from low pertinence and a high false positive rate. This study establishes an intelligent early warning process based on unsupervised learning and a voting mechanism. True triaxial compression and drilling tests were conducted to characterize the acoustic emission responses of coal and rock during fracture. Using 720 h of field microseismic data from a high-gas mine in Shanxi, high-weight precursor features were extracted from time–frequency indicators. Kernel principal component analysis (KPCA) was used to optimize the indicator system, and 49 indicators with weights above 0.08 were selected as model inputs. Five unsupervised clustering algorithms were integrated to establish an ensemble decision-making early warning model. The results show that the model eliminates the drawbacks of single algorithms, achieves accurate roof disaster warning, and correctly distinguishes disaster events from non-disaster high-energy events. The false positive rate is zero on the 720 h field dataset, and the reliability of early warning is significantly improved. This study enhances the reliability of mine roof microseismic warning, enriches roof disaster prediction theories, provides a complete intelligent early warning process for mine roof disaster, and offers important references for deep mining dynamic disaster warning research. Full article
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22 pages, 5984 KB  
Article
Mechanical Properties and Hoek-Brown Parameter Prediction of Cleat-Developed Coal Rock Using Discrete Element Simulation
by Xiangjun Liu, Bin Xie, Jian Xiong and Jiawei Zhang
Appl. Sci. 2026, 16(10), 5115; https://doi.org/10.3390/app16105115 - 20 May 2026
Viewed by 311
Abstract
Coal masses with well-developed cleats exhibit pronounced heterogeneity and anisotropy, and obtaining intact cores for mechanical testing remains a persistent challenge in engineering practice. Conventional assessments using the Hoek-Brown (HB) criterion rely heavily on empirical geological indices and cannot establish a quantitative correlation [...] Read more.
Coal masses with well-developed cleats exhibit pronounced heterogeneity and anisotropy, and obtaining intact cores for mechanical testing remains a persistent challenge in engineering practice. Conventional assessments using the Hoek-Brown (HB) criterion rely heavily on empirical geological indices and cannot establish a quantitative correlation between cleat characteristics and rock mass parameters, thereby leading to low accuracy and efficiency in strength evaluation. In this study, numerical coal models are established using the discrete element method (DEM) combined with laboratory mechanical tests, and a series of uniaxial and triaxial compression simulations are conducted. Results reveal that cleat intensity is negatively correlated with uniaxial compressive strength and peak strain, while matrix stiffness and intermediate principal stress positively affect the elastic modulus and strength of coal; the intrinsic mechanical parameters of cleats exert a limited influence on the macroscopic mechanical behavior. A linear correlation between 2D cleat areal density P21 and 3D intensity P32 is verified, and a prediction model for HB parameters m and s based on cleat features is developed. The proposed method only requires profile cleat statistics and a limited number of uniaxial tests to achieve efficient and reliable strength evaluation. It possesses considerable theoretical innovation and practical engineering value. Full article
(This article belongs to the Special Issue New Challenges in Reservoir Geology and Petroleum Engineering)
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23 pages, 14875 KB  
Article
Experimental Study on Mechanics of Carbonate Outcrops from the Cambrian and Sinian Systems in the Tarim Basin
by Chunsheng Wang, Ning Li, Yan Jin, Yunhu Lu, Jiaqi Luo, Yang Xia and Wentong Fan
Minerals 2026, 16(5), 553; https://doi.org/10.3390/min16050553 - 20 May 2026
Viewed by 299
Abstract
This study investigates Cambrian and Sinian carbonate outcrops in the Tarim Basin using 19 stratigraphically diverse rock samples. Through integrated X-ray diffraction mineralogical analysis, triaxial compression testing, and Brazilian splitting experiments, we systematically characterized rock mechanical properties and their correlations with microscopic mineral [...] Read more.
This study investigates Cambrian and Sinian carbonate outcrops in the Tarim Basin using 19 stratigraphically diverse rock samples. Through integrated X-ray diffraction mineralogical analysis, triaxial compression testing, and Brazilian splitting experiments, we systematically characterized rock mechanical properties and their correlations with microscopic mineral constituents. Key findings demonstrate remarkably distinct mechanical properties across formations: vuggy dolomites from the Xiaqiulitage formation exhibit the lowest compressive strength (minimum 200.0 MPa) and tensile strength (3.85 MPa), while the Yuertusi formation’s Y5 layer dolomites achieve exceptional tensile strength (21.69 MPa). Mineral composition fundamentally controls rock strength: dolomite or quartz concentrations exceeding 90% significantly enhance strength, whereas calcareous minerals (calcite, fluorapatite) degrade mechanical integrity. Most specimens display pronounced brittle failure characteristics; uniquely, basal dolostones of the Awatage formation exhibit distinctive plastic deformation. This research elucidates the synergistic effects of tectonic history, mineral assemblages, and microtextural attributes on rock mechanical behavior, providing critical theoretical underpinnings for deep carbonate reservoir development in overpressured basins. Full article
(This article belongs to the Topic Failure Characteristics of Deep Rocks, 3rd Edition)
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43 pages, 2338 KB  
Article
Micro-Attention CNN Hybrid Architecture for Real-Time Stress Detection Using Minimalistic Bio-Signals
by Chaymae Yahyati, Ismail Lamaakal, Yassine Maleh, Khalid El Makkaoui and Ibrahim Ouahbi
Technologies 2026, 14(5), 300; https://doi.org/10.3390/technologies14050300 - 13 May 2026
Viewed by 289
Abstract
Real-time psychological stress detection on wearable and edge devices requires models that are accurate, computationally efficient, and small enough for on-device deployment. This paper proposes a Micro-Attention CNN Hybrid Architecture for stress recognition using wearable bio-signals. The model uses six sensor channels, namely [...] Read more.
Real-time psychological stress detection on wearable and edge devices requires models that are accurate, computationally efficient, and small enough for on-device deployment. This paper proposes a Micro-Attention CNN Hybrid Architecture for stress recognition using wearable bio-signals. The model uses six sensor channels, namely tri-axial acceleration, electrodermal activity, heart rate, and skin temperature, and classifies three stress levels: no stress, low stress, and high stress. This study is conducted on a public wearable sensor dataset collected from 15 nurses during hospital work, providing a realistic benchmark for continuous stress monitoring under practical conditions. The proposed architecture combines one-dimensional and depthwise separable convolutions with a lightweight attention module to emphasize the most informative temporal patterns in short multivariate signal segments. To support deployment on resource-constrained devices, we further apply structured pruning, selective quantization-aware training, and post-training quantization. The full-precision model achieves a Macro-F1 score of 99.63%, while the final compressed model retains 98.03% Macro-F1 with a model size of 1.76 kilobytes and a CPU inference latency of 0.40 ms. Additional analyses show that most residual errors occur near the boundary between low stress and neighboring classes, while simple post-compression calibration improves reliability. These results demonstrate that accurate and low-latency stress detection using wearable bio-signals is feasible on compact edge hardware without transmitting raw sensor streams off-device. Full article
(This article belongs to the Special Issue AI-Enabled Smart Healthcare Systems)
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24 pages, 4495 KB  
Article
Concrete Damage Plasticity Model Application to Predict Stress–Strain Behavior of Impermeable Strata in Deep Rock Salt Deposits
by Gregorii Iovlev, Andrey Katerov, Anna Andreeva and Alisa Ageeva
Geotechnics 2026, 6(2), 45; https://doi.org/10.3390/geotechnics6020045 - 11 May 2026
Viewed by 287
Abstract
Maintaining the integrity of impermeable strata between mine workings and overlying aquifers is critical, because seepage pathways may cause mine flooding and surface subsidence. In the Upper Kama potash deposit, the impermeable sequence is a 50–140 m thick layered sequence of evaporites and [...] Read more.
Maintaining the integrity of impermeable strata between mine workings and overlying aquifers is critical, because seepage pathways may cause mine flooding and surface subsidence. In the Upper Kama potash deposit, the impermeable sequence is a 50–140 m thick layered sequence of evaporites and clays overlying mined-out chambers. Under long-term loading, salt rocks tend to creep, soften, and localize damage, which can cause failure in the impermeable strata. In this paper, the Concrete damage-plasticity model, supplemented by the N2PC-MCT viscoplastic creep model, is applied to simulate the initiation and evolution of seepage pathways in the Upper Kama impermeable strata. Model parameters are obtained from published laboratory tests (uniaxial and triaxial compression and tension) and validated using observed ground-surface subsidence. A plane-strain finite-element model incorporates the stratified lithology, interface elements between layers, and sequential excavation. Long-term simulations up to 50 years investigate two operational scenarios: with and without backfilling. The calibrated model reproduces the main stages of surface subsidence and chamber closure. Without backfilling, simulations indicate that tensile damage localizes mainly in a stiff central salt layer of the impermeable strata, with most cracks appearing approximately between 33 and 37 years after the start of mining. With backfill, tensile crack propagation stops and damage remains stable. A hypothetical homogeneous impermeable strata case confirms that the observed central-layer cracking is associated with stiffness contrasts and composite bending in the stratified system. An approximate analytical multilayer beam solution, based on energy minimization, predicts bending stress concentration in stiff intermediate layers and is consistent with the numerical stress distribution. The combined numerical and analytical results provide insight into the mechanisms of long-term conductive fracture initiation in stratified impermeable strata and may serve as a basis for preliminary hazard indication and for planning mitigation measures, including backfilling and focused monitoring of stiff central layers. Because the study is based on a 2D plane-strain model, the quantitative estimates should be regarded as preliminary and require verification by 3D modelling and further field observations. Full article
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25 pages, 5127 KB  
Article
Linear Energy Storage, Dissipation, and Damping of Non-Uniform Water-Immersed Sandstone Under Triaxial Cyclic Compression
by Qiyue Li, Jie Xiao, Tao Wu, Zhouchao Dai, Quan Li and Song Luo
Appl. Sci. 2026, 16(9), 4545; https://doi.org/10.3390/app16094545 - 5 May 2026
Viewed by 306
Abstract
The influence of non-uniform water distributions on the energy characteristics of rock under triaxial stress conditions remains inadequately explored. To investigate the effect of water distributions and cyclic loading conditions on the mechanical properties and energy evolution of sandstone, triaxial cyclic compression tests [...] Read more.
The influence of non-uniform water distributions on the energy characteristics of rock under triaxial stress conditions remains inadequately explored. To investigate the effect of water distributions and cyclic loading conditions on the mechanical properties and energy evolution of sandstone, triaxial cyclic compression tests were conducted on sandstone under varied water immersion heights. The results showed a negative correlation between the water immersion height and peak strength. It was also found that the input strain energy, elastic strain energy, and dissipative strain energy of the samples all followed a quadratic polynomial relationship with stress levels. Interestingly, the linear energy storage, dissipation and damping laws of water-immersed sandstone were confirmed under different water immersion heights. The energy storage, dissipation and damping coefficients nearly remain stable and are independent of the water immersion heights, and the unified linear energy storage and dissipation laws of rock with varying water immersion height were obtained. The findings of this study provide a theoretical basis for the stability evaluation and disaster warning of rock engineering under water-rock interactions. Full article
(This article belongs to the Special Issue Progress and Challenges of Rock Engineering)
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36 pages, 15801 KB  
Article
Sustainable Waste Tire Rubber Granule Concrete: Preparation, Mechanical Performance and Field Application for Pressure Relief in High-Ground-Stress Soft Rock Roadways
by Wei-Guo Qiao, Yun-Rui Zhao, Yue Wu, Wei-Min Cheng and Yin-Ge Zhu
Materials 2026, 19(9), 1870; https://doi.org/10.3390/ma19091870 - 1 May 2026
Viewed by 269
Abstract
Waste tire disposal and high-ground-stress soft rock roadway instability are pressing global challenges. This study develops sustainable rubber granule concrete (RGC) using waste tire rubber as a key component, aiming to realize waste valorization and floor heave control. RGC’s mechanical properties (uniaxial/triaxial compression, [...] Read more.
Waste tire disposal and high-ground-stress soft rock roadway instability are pressing global challenges. This study develops sustainable rubber granule concrete (RGC) using waste tire rubber as a key component, aiming to realize waste valorization and floor heave control. RGC’s mechanical properties (uniaxial/triaxial compression, compressibility, ductility) were systematically tested, and its pressure relief mechanism was validated via finite element analysis (ABAQUS/FLAC) and 60-day field monitoring. Results show that RGC with optimal parameters (12% rubber content, 3–4 GPa elastic modulus, 250–350 mm thickness) achieves 64% bottom stress reduction and >40% displacement control. The material’s excellent energy absorption and flexibility address the brittleness of conventional concrete, ensuring stable support in high-stress environments. This work provides a sustainable, cost-effective concrete modification strategy, bridging waste recycling and geotechnical engineering, with broad implications for low-intensity, high-toughness material applications. Full article
(This article belongs to the Section Construction and Building Materials)
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19 pages, 7752 KB  
Article
Study on the Mechanical Behaviors of Conglomerate, Considering Stress State and Gravel Content
by Quan Zhang, Jun Wei, Ning Li, Kaifeng Chen, Hui Yan, Liang Wen, Fang Shi, Tonglin Song and Yandong Yang
Processes 2026, 14(9), 1403; https://doi.org/10.3390/pr14091403 - 27 Apr 2026
Viewed by 246
Abstract
Gravel particles are widely developed and randomly distributed in deep reservoirs of the Tarim Oilfield, western China. The mechanical behavior of conglomerate, the main component of the gravel layer, under varying confining pressure and different gravel content, remains poorly understood, especially in terms [...] Read more.
Gravel particles are widely developed and randomly distributed in deep reservoirs of the Tarim Oilfield, western China. The mechanical behavior of conglomerate, the main component of the gravel layer, under varying confining pressure and different gravel content, remains poorly understood, especially in terms of the microscopic aspect, which limits the analysis of the variation patterns of underground engineering parameters. This study conducts triaxial compression tests on outcrop specimens from various stress levels to analyze the effects of stress state and stress differences on the mechanical parameters and failure modes. After that, a kind of numerical modeling method based on the discrete element method (DEM) is proposed, which considers the random distribution of gravel particles, to study the microscopic observation of mechanical characteristics and crack propagation of conglomerate under different stress state conditions. The experimental and numerical simulation results indicate that the horizontal strain before failure remains nearly constant in the axial direction while increasing linearly for the horizontal stress. And, it was observed that the volumetric failure was accompanied by gravel fragmentation, sliding, and falling. Numerical simulations reveal that cementation strength and gravel content significantly influence mechanical properties and failure modes, which are the main factors. This study provides some useful references for further understanding of the mechanical behavior and failure mechanisms of rocks in the gravel layer, in particular, the numerical modeling method for heterogeneous materials. Full article
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24 pages, 5467 KB  
Article
Mechanism of Progressive Failure, Stress and Wave Velocity Misalignment in Sandstone
by Yue Shi, Jianping Zuo, Shankun Zhao, Yunjiang Sun, Hainan Gao, Yunpeng Li, Weiguang Ren and Zhibin Zhou
Appl. Sci. 2026, 16(9), 4141; https://doi.org/10.3390/app16094141 - 23 Apr 2026
Viewed by 241
Abstract
The phenomenon of progressive failure, stress and wave velocity asynchrony in rocks can inform early warning approaches for rock stability. In this study, the Geotechnical Consulting and Testing Systems rock triaxial test system was used to investigate the compression failure of sandstone from [...] Read more.
The phenomenon of progressive failure, stress and wave velocity asynchrony in rocks can inform early warning approaches for rock stability. In this study, the Geotechnical Consulting and Testing Systems rock triaxial test system was used to investigate the compression failure of sandstone from the Ningtiaota mine under confining pressures of 0, 2, 5, and 10 MPa, with synchronous ultrasonic wave velocity monitoring. Based on Martin’s crack strain theory, the variation laws of mechanical and wave velocity response characteristics during progressive failure were obtained from two replicate tests per confining pressure. The results indicate that the normalized stress at peak wave velocity σvmaxP/σf ranges from 0.84 to 0.99, whereas the normalized strain ranges from 0.73 to 0.98. With increasing confining pressure, both the strain and stress differences between the peak wave velocity and the peak stress increase. Wave velocity change results from the combined action of effective stress (promoting velocity increase) and crack strain (leading to velocity decrease), causing the wave velocity peak to occur ahead of the stress peak. The normalized crack initiation stress σci/σf ranges from 0.55 to 0.68, and the normalized crack damage stress σcd/σf ranges from 0.79 to 0.91, consistent with literature values for intact sandstones. With increasing confining pressure, the proportion of the compaction stage remains unchanged, while the stable crack propagation stage decreases, and the elastic and unstable crack propagation stages increase. The stress-normalized difference between the peak wave velocity and the damage variable protrusion point is approximately 0.1σf, showing a slight decreasing trend with increasing confining pressure. Full article
(This article belongs to the Section Energy Science and Technology)
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23 pages, 4683 KB  
Article
Method for Determining the Critical Value of Stratified Roof Separation in Mining Roadways Based on the Instability of Anchored Support Structures
by Zhiqiang Liu, Guodong Li, Pingtao Gao, Honglin Liu, Hongzhi Wang, Haotian Fu, Kangfei Zhang and Guodong Zeng
Symmetry 2026, 18(5), 706; https://doi.org/10.3390/sym18050706 - 23 Apr 2026
Viewed by 308
Abstract
To address the technical challenges of difficult deduction, limited field measurement, and ambiguous instability determination of roof separation critical values in mining roadways within the weakly cemented coal-bearing strata of Xinjiang, this paper proposes a discrete element method that integrates the fracture of [...] Read more.
To address the technical challenges of difficult deduction, limited field measurement, and ambiguous instability determination of roof separation critical values in mining roadways within the weakly cemented coal-bearing strata of Xinjiang, this paper proposes a discrete element method that integrates the fracture of anchor bolt and anchor cable support materials with the damage degree of the surrounding rock. Taking a specific mine in the Hosh Tolgay coalfield as the research object, a systematic study was conducted. The research process was as follows. (1) Model parameter calibration was performed. Intact rock parameters were obtained through laboratory basic mechanical tests, and rock mass parameters were corrected based on reduction empirical formulas and the Hoek–Brown criterion. Numerical model verification showed that the errors between the simulated and theoretical values of the elastic modulus, compressive strength, and tensile strength of the rock mass were all less than 10%, indicating that the corrected parameters are reasonable. (2) The critical damage values of the rock mass considering a non-constant confining pressure environment were proposed. Through triaxial compression simulations, the differential evolution patterns of rapid damage increase in sandy mudstone under low confining pressure and stable damage accumulation in coal were revealed, thereby clarifying the damage thresholds for rock mass instability under different confining pressures. (3) A large-scale model was established to analyze the evolution laws of the fracture field, support field, and displacement field of the roadway surrounding rock. A comprehensive determination method for the instability of the roof anchored bearing structure was proposed. By comparing the damage thresholds of the scaled rock mass and the roadway surrounding rock and analyzing the fracture conditions of the roadway support system, a dual-criterion consisting of surrounding rock damage and support material fracture was constructed. Based on this criterion theory, the critical values for deep and shallow separation were obtained. The research results indicate that the evolution patterns of damage in coal and sandy mudstone differ with confining pressure. The sandy mudstone layers in the shallow part of the roof are more sensitive to mining-induced unloading disturbances. Consequently, the surrounding rock damage and support fracture of the mine roof exhibit distinct distribution characteristics: the dominant failure of the roadway is shear failure, with wide-range coalescence of shallow fractures and gradual development of deep fractures, alongside the concentrated failure of shallow anchor bolts and partial failure of deep anchor cables. Based on the instability state of the roof monitoring zones, the critical value for shallow separation was determined to be 90.7 mm, and the critical value for deep separation was 129.03 mm. These results are very close to the field measured values, verifying the engineering applicability of the method. This paper reveals the damage characteristics of the rock mass and surrounding rock in weakly cemented strata, as well as the mechanism of roof separation initiation and evolution. The proposed method for determining critical values provides a scientific and feasible practical reference for the support optimization and monitoring and early warning of roadway roofs in weakly cemented strata, possessing significant engineering value for ensuring safe and efficient mine production. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Geotechnical Engineering)
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23 pages, 15222 KB  
Article
Study on the Permanent Deformation Characteristics of Unsaturated Sand Subgrade Fill Under Cyclic Loading
by Hongfei Yin, Chuang Zhang and Jianzhong Li
Appl. Sci. 2026, 16(9), 4086; https://doi.org/10.3390/app16094086 - 22 Apr 2026
Viewed by 249
Abstract
Under long-term cyclic loading, the cumulative plastic deformation of unsaturated sandy subgrade is a key control factor for the pavement’s service performance. However, its evolution mechanism and quantitative characterization still lack a universal model. In this study, based on the GDS dynamic triaxial [...] Read more.
Under long-term cyclic loading, the cumulative plastic deformation of unsaturated sandy subgrade is a key control factor for the pavement’s service performance. However, its evolution mechanism and quantitative characterization still lack a universal model. In this study, based on the GDS dynamic triaxial system, a series of cyclic tests were conducted under different conditions: matric suction from 0 to 90 kPa, net confining pressure from 30 to 120 kPa, dynamic stress amplitude from 60 to 240 kPa, and compaction degrees of 87–96%, reaching a total of 10,000 cycles. The results reveal that the permanent deformation of unsaturated sandy subgrade material evolves through three stages: fast, slow, and stable. The deformation is exponentially negatively correlated with matric suction, net confining pressure, and compaction degree, and exponentially positively correlated with dynamic stress amplitude. A coupling prediction model was developed by embedding matric suction and compaction degree factors into the Karg model. This model incorporates net confining pressure, dynamic stress amplitude, matric suction, and compaction degree. By using a normalized master curve method, the permanent deformation curves under different working conditions were compressed into a unique dimensionless function. The parameters have clear physical significance and allow for a unified description across stress, suction, state, and soil types. Experimental data, along with data from the literature, were used to validate the model, showing prediction errors of less than 10% and R2 > 0.95. The model provides a simple, high-precision, and transferable theoretical tool for long-service-life subgrade deformation control. Full article
(This article belongs to the Special Issue Geotechnical Engineering and Infrastructure Construction, 2nd Edition)
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