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Keywords = stress strain state of rock mass

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21 pages, 5652 KB  
Article
Numerical Investigation of Mixed Mode I-III Fracture Behavior in Sandstone Under Static and Dynamic Loading
by Xiaoguang Shang, Yanjun Feng, Shizhong Cheng, Richao Cong, Kaikai Zhao, Penghao Lin, Shuai Wang and Xiaoxian Gu
Appl. Sci. 2026, 16(15), 7694; https://doi.org/10.3390/app16157694 - 3 Aug 2026
Viewed by 154
Abstract
Mixed mode I–III fracture commonly occurs in rock masses under complex three-dimensional stress states, yet the combined effects of loading conditions and fracture mode remain unclear. In this study, a heterogeneous sandstone disc model is developed in ABAQUS by coupling the Drucker–Prager elastoplastic [...] Read more.
Mixed mode I–III fracture commonly occurs in rock masses under complex three-dimensional stress states, yet the combined effects of loading conditions and fracture mode remain unclear. In this study, a heterogeneous sandstone disc model is developed in ABAQUS by coupling the Drucker–Prager elastoplastic model, an equivalent-strain damage model, and cohesive elements. The model is validated against static Brazilian splitting tests and dynamic SHPB tests. ENDB specimens are then employed to investigate mode I, mode III, and mixed mode I–III fracture under static and dynamic loading with offset angles ranging from 0° to 62.5°. As the offset angle increases, crack propagation evolves from straight tensile extension to deflected, twisted, and fragmented patterns dominated by anti-plane shear. Dynamic loading intensifies crack segmentation, localized damage, and transient instability while increasing the peak load, fracture toughness, and fracture energy. In contrast, the effective fracture toughness and fracture energy decrease monotonically with increasing offset angle under both loading conditions. A linear trend consistent with R2 > 0.99 is observed between the mode I–III mixing coefficient and the effective fracture toughness based on single-realization simulations, the effective fracture toughness under dynamic loading is approximately 2.22 times that under static loading based on direct comparison of calculated values. These findings improve the understanding of loading-dependent mixed mode I–III fracture in sandstone and provide guidance for rock mass stability assessment. Full article
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19 pages, 16101 KB  
Article
Strength Equivalence of Two Stiffness Calibrations in Particle Flow Code: An Insight from Micro-Cracking Evolution
by Jiao Ye, Fujie Dai and Peng Tang
Geosciences 2026, 16(8), 307; https://doi.org/10.3390/geosciences16080307 - 1 Aug 2026
Viewed by 197
Abstract
Geohazards in rock mass are essentially results of fracturing evolution. Regarding deeper exploration, to better contribute to evaluating and predicting instability, Particle Flow Code (PFC) has gained increasing popularity because of its logical resemblance in simulating rock composition and cracking processes. However, micro-parameter [...] Read more.
Geohazards in rock mass are essentially results of fracturing evolution. Regarding deeper exploration, to better contribute to evaluating and predicting instability, Particle Flow Code (PFC) has gained increasing popularity because of its logical resemblance in simulating rock composition and cracking processes. However, micro-parameter calibrations in PFC mainly focus on both the peak strength and macroscopic cracks in many previous, as well as current, studies, resulting in the existence of two widely used yet distinct strategies in stiffness calibration. The first is to ensure the consistency of the elastic modulus, and the second is to ensure the deformation consistency at peak-stress states. Do these two stiffness calibrations have a strength equivalence? To explore it, several rock mechanical tests—with and without confining pressures and a pre-existing flaw—were numerically conducted using PFC for two materials produced by these two distinct stiffness-calibration strategies. The results demonstrate that the two stiffness calibrations can yield equivalent strength parameters, including tensile strength, cohesion, and internal friction angle. This strength equivalence could be attributed to the evolutionary process of micro-crack initiation, accumulation, nucleation, and global failure (coalescence). Fracture mechanics analysis demonstrates that crack initiation is independent of the elastic modulus and marginally influenced by Poisson’s ratio, leading to a negligible impact of stiffness-calibration distinction on crack-initiation stress. Subsequent micro-crack accumulation follows a nearly identical non-linear increasing trend, with a high consistency of spatial distributions in stress concentration, displacement gradient, and strain localization. As a result, the near-identical structural logic in micro-crack nucleation results in failure-pattern consensus and governs the macro-scale strength equivalence of these two distinct stiffness-calibration strategies. These findings could help us to better comprehend those previous, as well as current, research results based on the two stiffness-calibration strategies. Full article
(This article belongs to the Special Issue New Advances in Landslide Mechanisms and Prediction Models)
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13 pages, 1611 KB  
Article
Features of Modeling the Mechanical Response of Crushed Salt-Based Backfill Material in Potash Mines
by Alexander A. Selikhov, Maxim A. Karasev, Vladislav V. Petrushin, Ekaterina L. Romanova, Anna V. Andreeva, Vadim S. Biberin and Egor S. Kudashov
Eng 2026, 7(7), 330; https://doi.org/10.3390/eng7070330 - 8 Jul 2026
Viewed by 308
Abstract
The development of potash deposits under complex mining and geological conditions requires the implementation of efficient geotechnologies, including backfilling of mined-out voids. Preserving the water-protective strata and preventing mining-induced accidents are impossible without accurate prediction of the stress–strain state of the backfill mass. [...] Read more.
The development of potash deposits under complex mining and geological conditions requires the implementation of efficient geotechnologies, including backfilling of mined-out voids. Preserving the water-protective strata and preventing mining-induced accidents are impossible without accurate prediction of the stress–strain state of the backfill mass. Traditional models, based on the Mohr–Coulomb criterion, are unable to properly describe physical and mechanical processes occurring in crushed salt rock, including the transition from dilatancy to compaction and nonlinear hardening. This requires the application of specialized models such as the SRP model. The aim of this study is to investigate the mechanical response of crushed salt rock backfill material under complex loading conditions and to calibrate the parameters of the SRP model in order to improve the accuracy of geomechanical calculations. The shape of the plastic flow surface in the deviatoric plane was established, including both shear and cap components. A nonlinear dependence of the friction angle on mean stress was identified and described by a logarithmic function. The law of plastic hardening was determined, and a non-associated plastic flow rule was confirmed in the shear domain. The calibrated SRP model allows for predicting the backfill mass behavior with high reliability, which is a necessary condition for substantiating the parameters of safe potash mining. Full article
(This article belongs to the Special Issue Advanced Numerical Simulation Techniques for Geotechnical Engineering)
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21 pages, 10738 KB  
Article
Theoretical Solutions for Tunnels Excavated in Strain-Softening Rock Masses Considering Support
by Xiuchang Song, Yiwei Gao, Xiaonian Chen, Zhengxiong Bai, Zhen Li and Daniel Dias
Symmetry 2026, 18(7), 1095; https://doi.org/10.3390/sym18071095 - 27 Jun 2026
Viewed by 299
Abstract
The collaborative load-bearing behavior between the rock mass and support is critical for tunnel support design. This study proposes a strain-softening analysis method for circular tunnels during construction and presents an efficient solution strategy, termed the “Support Load Approximation Strategy” (SLAS), to solve [...] Read more.
The collaborative load-bearing behavior between the rock mass and support is critical for tunnel support design. This study proposes a strain-softening analysis method for circular tunnels during construction and presents an efficient solution strategy, termed the “Support Load Approximation Strategy” (SLAS), to solve the collaborative load-bearing problem. The rock mass is assumed to be isotropic, following the Mohr–Coulomb criterion, under hydrostatic stress conditions. During the stepwise calculation, a new ring is automatically added at each step, and the positions of all previous rings are updated, with elastic or plastic formulations automatically selected based on the state of each ring. The GRC and plastic radii (Rp and Rs) curves obtained by the proposed method show excellent agreement with existing benchmark results, with relative errors of 3.73% for the GRC, 1.47% for Rs, and 3.40% for Rp, confirming the correctness and accuracy of the proposed algorithm. Furthermore, when compared to the Incremental Support Load Method (ISLM) and the binary search method, SLAS improves computational efficiency by 14.2 times and 67%, and accuracy by 70% and 53%, respectively. When higher precision is required, SLAS maintains an efficiency gain of 82.8 times over ISLM with comparable accuracy. Compared to traditional elastic-plastic analysis methods, the proposed approach simplifies the computational process, reduces complexity, offers both high accuracy and fast computation speed, and serves as a practical tool for tunnel engineering support design. Full article
(This article belongs to the Special Issue Symmetry and Its Application in Civil Engineering)
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24 pages, 7610 KB  
Article
Energy Transfer Mechanism of Hard-Roof Hydraulic Fracturing in Goaf-Side Working Face Based on Microseismic-Driven Damage Model
by Rupei Zhang, Siyuan Gong, Wu Cai, Hui Li and Yuanhang Qiu
Sensors 2026, 26(11), 3566; https://doi.org/10.3390/s26113566 - 3 Jun 2026
Viewed by 380
Abstract
Directional long-borehole hydraulic fracturing is an important technique for controlling rockbursts induced by hard roofs. Its effectiveness depends primarily on whether fracturing-induced damage can modify the roof-bearing structure and thereby regulate stress concentration and elastic strain energy accumulation in the coal-rock mass ahead [...] Read more.
Directional long-borehole hydraulic fracturing is an important technique for controlling rockbursts induced by hard roofs. Its effectiveness depends primarily on whether fracturing-induced damage can modify the roof-bearing structure and thereby regulate stress concentration and elastic strain energy accumulation in the coal-rock mass ahead of the working face. However, existing numerical simulations commonly rely on predefined weakened zones or empirical parameter reduction, which makes it difficult to represent the spatial heterogeneity and mechanical evolution of rock damage during field hydraulic fracturing. Taking the 2803 goaf-side working face in Hetaoyu Coal Mine as the engineering background, this study proposes a microseismic-data-driven method for characterizing hydraulic fracturing-induced damage and incorporates it into a FLAC3D finite-difference model. The stress field, elastic strain energy field, and damage distribution ahead of the working face are compared under non-fractured and hydraulically fractured conditions. In the proposed method, the energy of fracturing-induced microseismic events is converted into the Benioff strain of numerical zones according to the attenuation law of microseismic wave propagation, and the corresponding rock damage variable is then calculated using a Weibull damage model. The fracturing-damaged rock mass is further represented by weakening the elastic modulus, cohesion, and friction angle, together with the stochastic generation of strongly damaged zones. The results show that, without hydraulic fracturing, the hard roof maintains a strong, continuous bearing capacity, resulting in a continuous lateral abutment stress concentration zone and a high elastic strain energy accumulation zone ahead of the working face and near the goaf-side boundary. After hydraulic fracturing, a patchy and locally connected high-damage weakening zone forms in the target roof strata. This damaged zone cuts the original continuous load-transfer structure through which the hard roof concentrates load toward the goaf side, reduces the extent of high-stress and high-energy zones in the coal seam, and induces an asymmetric adjustment of the dominant mining-induced energy release zone from the goaf side toward the solid-coal side. These simulation results agree well with the field observation that microseismic activity is mainly concentrated near the roadway on the solid-coal side. The study indicates that the rockburst-control mechanism of directional long-borehole hydraulic fracturing is not limited to simple overall stress dissipation. A key finding is that the fracturing-induced heterogeneous damage zone effectively interrupts the continuous load-transfer and energy-storage paths on the goaf side. This induces an asymmetric spatial redistribution of the mining-induced energy field from the goaf side toward the solid-coal side, thereby mitigating the high static-load and high-energy-storage state ahead of the working face. Full article
(This article belongs to the Special Issue Feature Papers in “Environmental Sensing” Section 2026)
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19 pages, 4950 KB  
Article
Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings
by Bo Jiang, Yubao Zhang, Tongbin Zhao, Minglu Xing and Kai Zhu
Appl. Sci. 2026, 16(10), 4959; https://doi.org/10.3390/app16104959 - 15 May 2026
Viewed by 322
Abstract
This paper investigates the mechanical characteristics of rockbolt under combined tensile–shear loading conditions. By studying the stress and deformation throughout the elastic and plastic stages of rockbolt, a failure model for rockbolt under different tensile–shear combination loadings was established. Key parameters, including the [...] Read more.
This paper investigates the mechanical characteristics of rockbolt under combined tensile–shear loading conditions. By studying the stress and deformation throughout the elastic and plastic stages of rockbolt, a failure model for rockbolt under different tensile–shear combination loadings was established. Key parameters, including the maximum bending moment MA and total plastic deformation λ, were identified and quantified as they evolve with changes in the displacement angle (combined tensile–shear state). The main novelty lies in formulating the key control parameters governing the elastic–plastic transition and failure process of rockbolts under combined tensile–shear loading and further incorporating them into FLAC2D to improve the simulation of tensile–shear failure of rockbolts. Numerical simulations of rockbolts under combined tensile–shear loading were performed using FLAC2D. The influence of a rock mass’ Young’s modulus and uniaxial compressive strength on the mechanical response of the rockbolt was investigated. The results indicate that the ultimate load-carrying capacity of the rockbolt remains essentially constant as the displacement angle increases, while the axial tensile force gradually decreases and the shear force gradually increases. The influence of a rock mass’ Young’s modulus on the stress–strain characteristics of the anchor exhibits a nonlinear positive correlation. When the uniaxial compressive strength of the rock mass is low, the rockbolt is prone to slippage during loading. Full article
(This article belongs to the Section Civil Engineering)
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18 pages, 16281 KB  
Article
Experimental Study on the Mechanical Properties of Weakly Cemented Soft Rock Under Different Moisture Contents and Stress Paths
by Peichang Cheng, Hongzhi Wang, Yuanfeng Chen and Yetao Jia
Appl. Sci. 2026, 16(8), 3746; https://doi.org/10.3390/app16083746 - 10 Apr 2026
Viewed by 559
Abstract
To systematically investigate the combined effects of moisture content, confining pressure, and loading rate on the mechanical properties of weakly cemented soft rock, this study focuses on the Jurassic coal measures from the Hoxtolgay coalfield in Xinjiang. A series of uniaxial and triaxial [...] Read more.
To systematically investigate the combined effects of moisture content, confining pressure, and loading rate on the mechanical properties of weakly cemented soft rock, this study focuses on the Jurassic coal measures from the Hoxtolgay coalfield in Xinjiang. A series of uniaxial and triaxial compression tests were conducted under varying moisture states, loading velocities, and confining pressures. Complementary X-ray diffraction (XRD), scanning electron microscopy (SEM), and Brazilian splitting tests were performed to analyze the microstructural evolution and tensile failure characteristics. The experimental results demonstrate that moisture content acts as the primary governing factor for mechanical degradation; increased hydration promotes clay mineral swelling and attenuates inter-granular cementation, leading to a continuous reduction in both compressive and tensile strengths, as well as the elastic modulus. Conversely, confining pressure consistently enhances these macroscopic mechanical parameters by restricting lateral deformation. While the loading rate alters the mechanical response, its impact is secondary compared to the definitive effects of moisture and stress constraints. Furthermore, by utilizing established stress–strain-based indices, the study quantitatively evaluates the brittleness characteristics, confirming that hydration fundamentally drives the rock mass from a brittle state toward ductility. This research elucidates the coupled degradation mechanisms of highly sensitive soft rock, providing a theoretical foundation for stability design and risk assessment in underground geotechnical engineering. Full article
(This article belongs to the Special Issue Latest Advances in Rock Mechanics and Geotechnical Engineering)
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26 pages, 7406 KB  
Article
Assessment of Strength Characteristics and Structural Heterogeneity of Coal Seams in the Karaganda Basin by Geophysical Methods for Enhancing Mining Safety
by Ravil Mussin, Vassiliy Portnov, Andrey Golik, Nail Zamaliyev, Denis Akhmatnurov, Nikita Ganyukov, Krzysztof Skrzypkowski, Krzysztof Zagórski and Svetlana Efremova
Mining 2026, 6(1), 21; https://doi.org/10.3390/mining6010021 - 10 Mar 2026
Cited by 1 | Viewed by 568
Abstract
The principal difficulty in studying the physico-mechanical and filtration-capacity properties of coals and host rocks under laboratory conditions using core samples lies in reproducing natural thermodynamic conditions characteristic of in situ depths. To address this issue, specialized equipment and methodologies for transferring measurement [...] Read more.
The principal difficulty in studying the physico-mechanical and filtration-capacity properties of coals and host rocks under laboratory conditions using core samples lies in reproducing natural thermodynamic conditions characteristic of in situ depths. To address this issue, specialized equipment and methodologies for transferring measurement results are employed, including the Hoek–Brown failure criterion, the structural weakening coefficient, and the development of thermodynamic models. The reliability and accuracy of such measurements are determined by the degree of conformity between the adopted laboratory conditions and natural in situ conditions, the number of samples representing different lithological varieties, and the adequacy of sampling procedures ensuring representativeness. Particular challenges arise when sampling cleated and fractured coals formed under natural stress–strain conditions and contain methane, which significantly influences their physical properties. These difficulties are especially pronounced in prepared-for-mining high-gas-content coal seams of the Karaganda Basin at depths of approximately 700 m, where obtaining representative samples is technically complicated. Reliable values of the physico-mechanical properties of the coal–rock mass are essential for geomechanical calculations aimed at ensuring safe mining of high-gas-content seams through risk assessment of geodynamic phenomena, particularly in zones of geological disturbances, floor heave, and roof collapse. In this context, the use of a comprehensive suite of geophysical logging data from exploration boreholes makes it possible to obtain continuous, high-precision information on physico-mechanical and filtration-capacity properties. These methods are particularly important for characterizing the coal–rock mass in operating mines, since the natural state of host rocks and prepared coal seams is altered due to stress relief caused by mine workings, preliminary degasification measures, and hydraulic fracturing. The problem addressed is the need for reliable assessment of rock and coal seam parameters under natural thermodynamic stress–strain conditions, taking into account lithological composition, structural heterogeneity, fracture development, stratigraphic differentiation, and gas saturation. The aim of this study is to ensure efficient and safe coal extraction based on geomechanical calculations utilizing physico-mechanical and filtration-capacity properties of host rocks and gas-bearing coal seams, whether prepared for mining or not yet extracted. The research methods are based on an integrated complex of geophysical logging of exploration wells, specialized software tools, and statistical processing techniques to identify patterns in physico-mechanical and filtration-capacity properties of host rocks and coal seams under natural stress–strain conditions, as well as to determine the nature of changes in these properties within coal seams and roof and floor rocks in prepared mining areas. The physico-mechanical and filtration-capacity properties of host rocks and coals from the Lenin and Kazakhstanskaya mines were determined. Regularities governing the application of these parameters to coals of different formations and depths were established; fracture orientations and characteristics were evaluated; and relationships between changes in coal seam parameters and gas content were identified. A comprehensive methodological framework for studying the physical and capacity properties of the coal–rock mass under natural thermodynamic conditions has been developed. Its primary application is the investigation of coal seams prepared for mining to support geomechanical calculations for efficient and safe coal extraction, the implementation of degasification measures for high-gas-content seams, and the assessment of gas-dynamic risks based on the character of variations in physical parameters. Full article
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21 pages, 6633 KB  
Article
Experimental Study on Water Seepage Characteristics of Saturated Fragmented Coal and Rock Mass
by Dingyi Hao, Jiaxin Huang, Shihao Tu and Long Tang
Fluids 2026, 11(2), 48; https://doi.org/10.3390/fluids11020048 - 11 Feb 2026
Viewed by 425
Abstract
Water inrush disasters continue to plague the advancement of deep underground mining activities. A better understanding of the structural integrity of fragmented geological bodies is crucial to ensuring mining safety. The objective of this study was to accurately reflect the dynamic evolution of [...] Read more.
Water inrush disasters continue to plague the advancement of deep underground mining activities. A better understanding of the structural integrity of fragmented geological bodies is crucial to ensuring mining safety. The objective of this study was to accurately reflect the dynamic evolution of pore structure changes and seepage channels in fragmented coal and rock mass of actual goafs under the coupling effect of mining stress and seepage. The co-evolution laws of the axial strain, nonlinear porosity, and permeability of fragmented coal and rock mass under different particle sizes, gradation characteristics, and stress states were compared, and a stress-pore-water seepage coupling model of the fragmented coal and rock mass was constructed. When subjected to the same axial pressure, the saturated fragmented coal exhibited a higher water permeability than the saturated fragmented rock mass. The greater the particle size, the higher the water permeability of fragmented coal and rock mass. The higher the gradation index, the higher the water permeability of these masses. Their porosity and axial pressure satisfied an exponential attenuation function, whereas their water permeability and axial pressure satisfied the Boltzmann function. The research results can provide theoretical support for preventing and controlling water inrush in goaf areas. Full article
(This article belongs to the Section Geophysical and Environmental Fluid Mechanics)
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21 pages, 4114 KB  
Article
Energy Evolution of Far-Field Surrounding Rock Under True Triaxial Compression Conditions: Taking Fissured Sandstone as an Example
by Fan Feng, Yuanpu Li, Chenglin Li, Jiadong Qiu, Tong Zhang and Shaojie Chen
Processes 2026, 14(2), 356; https://doi.org/10.3390/pr14020356 - 20 Jan 2026
Cited by 1 | Viewed by 515
Abstract
Fissured rock masses are widespread in deep underground mining engineering, and they are prone to inducing instability and failure during excavation activities. Borehole pressure relief is one of the most effective measures with which to control dynamic disaster in high-stress roadways. After pressure [...] Read more.
Fissured rock masses are widespread in deep underground mining engineering, and they are prone to inducing instability and failure during excavation activities. Borehole pressure relief is one of the most effective measures with which to control dynamic disaster in high-stress roadways. After pressure relief, redistribution of stress leads to stress concentration in the far-field surrounding rock (far away from working face), which can be represented by true triaxial compression state. However, current research on the energy evolution behavior of fissured rock masses under far-field conditions remains relatively limited. This study analyzes the energy evolution process, peak energy characteristics, and laws of energy storage and dissipation in fractured sandstone under different fissure dip angles (θ, 30°, 45°, 60°, 90°), with intermediate principal stresses (σ2, 10, 20, … 120 MPa) and minimum principal stresses (σ3, 10, 20, … 50 MPa). The results indicate that the curve of dissipated energy ratio versus maximum principal strain becomes more distinctly concave as θ increases under true triaxial compression. The growth rate of the dissipated energy ratio and dissipated energy with maximum principal strain gradually decreases when σ3 is high, and the fissured sandstone is prone to exhibiting ductile failure, leading to a reduced energy dissipation rate. The peak elastic strain energy of fissured sandstone increases gradually with increasing σ2 and shows a linear characteristic. The energy storage and dissipation law is nonlinear with increasing peak total energy for the fissured sandstone with different values of θ. However, the law exhibits a linear trend under varying σ2 and σ3. This study provides a new approach and insight into the failure characteristics of deep fissured sandstone and aims to offer theoretical guidance for the layout and construction safety of roadways or mining panels in far-field surrounding rock in future engineering practices. Full article
(This article belongs to the Section Energy Systems)
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31 pages, 38692 KB  
Article
Stability and Dynamics Analysis of Rainfall-Induced Rock Mass Blocks in the Three Gorges Reservoir Area: A Multidimensional Approach for the Bijiashan WD1 Cliff Belt
by Hao Zhou, Longgang Chen, Yigen Qin, Zhihua Zhang, Changming Yang and Jin Xie
Water 2026, 18(2), 257; https://doi.org/10.3390/w18020257 - 18 Jan 2026
Viewed by 612
Abstract
Accurately assessing collapse risks of high-elevation, concealed rock mass blocks within the steep cliffs of Bijiashan, Three Gorges Reservoir Area, is challenging. This study employed a multidimensional approach—integrating airborne Light Detection and Ranging (LiDAR), the transient electromagnetic method (TEM), close-range photogrammetry, horizontal drilling, [...] Read more.
Accurately assessing collapse risks of high-elevation, concealed rock mass blocks within the steep cliffs of Bijiashan, Three Gorges Reservoir Area, is challenging. This study employed a multidimensional approach—integrating airborne Light Detection and Ranging (LiDAR), the transient electromagnetic method (TEM), close-range photogrammetry, horizontal drilling, and borehole optical imaging—to characterize the rock mass structure of the WD1 cliff belt and delineate 52 individual blocks. Stability analysis incorporated stereographic projection for macro-scale assessment and employed mechanical models specific to three primary failure modes (toppling, sliding, falling). Finite element strength reduction quantified the stress–strain response of a representative block under natural and rainstorm conditions. Particle Flow Code (PFC) simulated dynamic instability of the exceptionally large block W1-37. Results indicate the WD1 rock mass is highly fractured, with base sections prone to weakness. Toppling failure dominates (90.4%). Under rainstorm conditions, the average Factor of Safety (FOS) decreased by 14.7%, and 73.1% of the blocks that were stable under natural conditions were destabilized—specifically transitioning to marginally stable or substable states—often triggering chain-reaction instability characterized by “crack propagation—base buckling”. W1-37 exhibited staged failure under rainstorm: “strain localization at fissure tips—penetration of basal cracks—overturning of the upper rock mass”. Its frontal rock reached a peak sliding velocity of 15.17 m/s, indicative of base-breaking toppling. The integrated “multi-technology survey—multi-method evaluation—multi-scale simulation” framework provides a quantitative basis for risk assessment of rock mass disasters in the Three Gorges Reservoir Area and offers a technical paradigm for similar high-steep canyon regions. Full article
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22 pages, 5031 KB  
Article
Data-Driven Prediction of Stress–Strain Fields Around Interacting Mining Excavations in Jointed Rock: A Comparative Study of Surrogate Models
by Anatoliy Protosenya and Alexey Ivanov
Mining 2026, 6(1), 4; https://doi.org/10.3390/mining6010004 - 16 Jan 2026
Cited by 1 | Viewed by 1204
Abstract
Assessing the stress–strain state around interacting mining excavations using the finite element method (FEM) is computationally expensive for parametric studies. This study evaluates tabular machine-learning surrogate models for the rapid prediction of full stress–strain fields in fractured rock masses treated as an equivalent [...] Read more.
Assessing the stress–strain state around interacting mining excavations using the finite element method (FEM) is computationally expensive for parametric studies. This study evaluates tabular machine-learning surrogate models for the rapid prediction of full stress–strain fields in fractured rock masses treated as an equivalent continuum. A dataset of 1000 parametric FEM simulations using the elastoplastic generalized Hoek–Brown constitutive model was generated to train Random Forest, LightGBM, CatBoost, and Multilayer Perceptron (MLP) models based on geometric features. The results show that the best models achieve R2 scores of 0.96–0.97 for stress components and 0.99 for total displacements. LightGBM and CatBoost provide the optimal balance between accuracy and computational cost, offering speed-ups of 15 to 70 times compared to FEM. While Random Forest yields slightly higher accuracy, it is resource-intensive. Conversely, MLP is the fastest but less accurate. These findings demonstrate that data-driven surrogates can effectively replace repeated FEM simulations, enabling efficient parametric analysis and intelligent design optimization for mine workings. Full article
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20 pages, 5542 KB  
Article
Experimental Study on the Creep Behavior and Permeability Evolution of Tuff Under Unloading Confining Pressure with Seepage–Stress Coupling Effects
by Wenlong Dong, Lijun Han, Zishuo Liu, Yijiang Zong, Jun Tang and Dalong Yang
Processes 2025, 13(12), 4089; https://doi.org/10.3390/pr13124089 - 18 Dec 2025
Viewed by 601
Abstract
The long-term stability of deep underground excavations near aquifer-bearing strata is primarily controlled by the time-dependent deformation and permeability changes in the surrounding rock mass under the combined effects of mechanical loading and groundwater seepage. This study experimentally investigates the creep behavior and [...] Read more.
The long-term stability of deep underground excavations near aquifer-bearing strata is primarily controlled by the time-dependent deformation and permeability changes in the surrounding rock mass under the combined effects of mechanical loading and groundwater seepage. This study experimentally investigates the creep behavior and permeability evolution of tuff specimens subjected to stepwise reductions in confining pressure under coupled seepage and stress conditions. Conventional triaxial compression tests were conducted to determine the peak strength at confining pressures of 10, 15, and 20 MPa. Subsequently, triaxial creep tests were performed, maintaining axial stress at 70% of the previously established peak strength, with a constant seepage pressure of 4 MPa, while progressively decreasing the confining pressure. The results clearly reveal a three-stage creep process—with instantaneous, steady-state, and accelerated phases—with the radial strain exceeding axial strain and ultimately dominating at failure. This indicates that failure is characterized by significant volumetric expansion. At the specified initial confining pressures of 10 MPa, 15 MPa, and 20 MPa, the tuff specimens exhibited volumetric strains of −1.332, −1.119, and −0.836 at failure, respectively. Permeability evolution depends on the creep stage, showing a pronounced increase during the accelerated creep phase that often surpasses the cumulative permeability changes observed earlier. The specimen’s permeability at failure increased by factors of 3.97, 3.21, and 3.61 compared to the initial stage of the experiment, respectively. Additionally, permeability evolution exhibits a strong functional relationship with volumetric strain, which can be effectively modeled using an exponential function. The experimental findings further indicate that, as the confining pressure is gradually reduced, the permeability evolves following a clear exponential trend. Additionally, a higher initial confining pressure slows the rate at which permeability increases. These findings clarify the three-stage creep behavior and the associated evolution of the permeability index in tuff under coupled seepage–stress conditions. Additionally, they present a quantitative model linking permeability to volumetric strain, offering both a theoretical foundation and a new approach for assessing the long-term stability risks of deep underground engineering projects. Full article
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21 pages, 12324 KB  
Article
Research on the Stress Response Mechanism and Evolution Law During the Mining Process of Coal Series Normal Faults
by Zhiguo Xia, Junbo Wang, Wenyu Dong, Chenglong Ma and Lihua Luan
Processes 2025, 13(12), 3988; https://doi.org/10.3390/pr13123988 - 10 Dec 2025
Cited by 1 | Viewed by 533
Abstract
To study the mechanical properties and displacement evolution of rock masses near coal-seam normal faults under mining disturbances; this paper utilizes fiber optic monitoring and distributed strain measurement techniques to achieve the fine monitoring of the entire process of stress–displacement–strain during mining. The [...] Read more.
To study the mechanical properties and displacement evolution of rock masses near coal-seam normal faults under mining disturbances; this paper utilizes fiber optic monitoring and distributed strain measurement techniques to achieve the fine monitoring of the entire process of stress–displacement–strain during mining. The experimental design adopts a stepwise mining approach to systematically reproduce the evolution of fault formation; slip; and instability. The results show that the formation of normal faults can be divided into five stages: compressive deformation; initiation; propagation; slip; and stabilization. The strength of the fault plane is significantly influenced by the dip angle. As the dip angle increases from 30° to 70°, the peak strength decreases by 23%, and the failure mode transitions from tensile failure to shear failure. Under mining disturbances, the stress field in the overlying rock shifts from concentration to dispersion, with a stress mutation zone appearing in the fault-adjacent area. During unloading, vertical stress decreases by 45%, followed by a rebound of 10% as mining progresses. The rock layers above the goaf show significant subsidence, with the maximum vertical displacement reaching 150 mm. The displacement between the hanging wall and footwall differs, with the maximum horizontal displacement reaching 78 mm. The force chain distribution evolves from being dominated by compressive stress to a compressive–tensile stress coupling state. The fault zone eventually enters a stress polarization state and tends toward instability. A large non-uniform high-speed zone forms at the fault cutting point in the velocity field, revealing the mechanisms of fault instability and the initiation of dynamic disasters. These experimental results provide a quantitative understanding of the multi-physics coupling evolution characteristics of coal-seam normal faults under mining disturbances. The findings offer theoretical insights into the instability of coal-seam normal faults and the mechanisms behind the initiation of dynamic disasters. Full article
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18 pages, 3402 KB  
Article
Issue of Selecting Stress Field Parameters for the Analysis of Mining Excavation Stability Using Numerical Methods in the Conditions of the LGCB Mines
by Daniel Pawelus, Karolina Adach-Pawelus and Jan Butra
Appl. Sci. 2025, 15(23), 12365; https://doi.org/10.3390/app152312365 - 21 Nov 2025
Cited by 1 | Viewed by 649
Abstract
This paper concerns the issue of selecting appropriate stress field parameters for predicting the stability of headings driven under the geological and mining conditions of Polish underground copper mines. The problem is of key importance due to strict safety requirements in mine workings [...] Read more.
This paper concerns the issue of selecting appropriate stress field parameters for predicting the stability of headings driven under the geological and mining conditions of Polish underground copper mines. The problem is of key importance due to strict safety requirements in mine workings that serve ventilation and transport functions. Numerical analyses were carried out for four stress field variants: the stress state determined based on Bulin’s formulas (variant 1), the hydrostatic stress state (variant 2), and stress states determined from in situ measurements conducted in the Rudna mine (variant 3 and variant 4). Numerical simulations were performed for a group of four headings, supported with fully grouted rock bolts, in the geological and mining conditions of the Rudna mine. Stability assessment was performed using the finite element method (FEM). Rock mass input parameters for the modeling were obtained with RocLab 1.0, applying the Hoek–Brown classification, while numerical analyses employed the Mohr–Coulomb failure criterion. The elastic–plastic model with softening was used to describe the rock mass behaviour. Numerical calculations were conducted in the RS2 computer program in a triaxial stress state and in a plane strain state. The range of the yielded rock mass zone in the roof of the headings was assumed as the optimal measure of the headings stability. The obtained simulation results provided a basis for recommending suitable rock bolting systems to protect the stability of headings developed under various initial stress field conditions. Full article
(This article belongs to the Special Issue Surface and Underground Mining Technology and Sustainability)
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