Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (187)

Search Parameters:
Keywords = in situ stress ratio

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
47 pages, 4469 KB  
Review
Rock Bolt Length and Pattern Optimisation in Underground Excavations
by Tshepiso Mollo and Fhatuwani Sengani
Geotechnics 2026, 6(3), 83; https://doi.org/10.3390/geotechnics6030083 - 1 Sep 2026
Viewed by 32
Abstract
Rock bolt reinforcement governs underground excavation stability through the combined effects of embedment depth, installation pattern, and interaction with the evolving stress and structural environment. Despite substantial advances across mechanistic, empirical, numerical, discontinuum, dynamic, and field-based research traditions, no unified framework currently integrates [...] Read more.
Rock bolt reinforcement governs underground excavation stability through the combined effects of embedment depth, installation pattern, and interaction with the evolving stress and structural environment. Despite substantial advances across mechanistic, empirical, numerical, discontinuum, dynamic, and field-based research traditions, no unified framework currently integrates these approaches across geological and stress regimes. Current practice, therefore, relies on design methods calibrated within specific contexts, producing optimisation outcomes that are model-dependent, metric-sensitive, and not reliably transferable across site conditions. This review critically synthesises evidence from 30 peer-reviewed studies organised into six analytical categories: mechanistic confinement frameworks, empirical classification systems, numerical parametric investigations, discontinuum- and discrete fracture network (DFN)-based optimisation studies, high-stress and dynamic performance analyses, and field-based performance evaluations. The synthesis establishes three principal findings. First, optimal bolt embedment is stress-regime-dependent; plastic-radius-based design logic is appropriate under moderate static conditions but becomes insufficient under high stress or dynamic loading, where energy absorption capacity and controlled yielding govern performance. Second, in discontinuous rock masses, joint geometry and spacing dominate reinforcement effectiveness, shifting optimisation from uniform length selection toward pattern-specific alignment and multi-length configurations that outperform equal-length grids under DFN-controlled conditions. Third, numerical optimisation outcomes are sensitive to the choice of objective metric and modelling paradigm, such that bolt length and spacing recommendations cannot be transferred across analytical frameworks without explicit mechanism comparison. To integrate these findings, a unified conceptual framework is proposed based on regime classification using three dimensionless indicators: the bolt penetration ratio (Π1 = L/r_p), which relates embedment to plastic zone radius; the structural interception ratio (Π2 = S/S_j), which relates bolt spacing to dominant joint spacing; and the stress intensity ratio (Π3 = σ_in situ/σ_cm), which relates in situ stress to rock mass compressive strength. These indicators identify whether confinement-dominated, structure-dominated, or stress-dominated behaviour governs stability, and direct design logic accordingly. The framework does not prescribe universal geometric thresholds; rather, it provides a structured classification pathway that integrates mechanistic and empirical evidence into a coherent and transferable design logic. Probabilistic validation incorporating geological variability, stochastic fracture network modelling, and iterative field calibration is identified as the necessary development path toward a statistically robust optimisation methodology. Full article
Show Figures

Figure 1

27 pages, 20104 KB  
Article
Stress Disturbance Coefficient Method for Rock Burst Hazard Identification in Gully Regions: A Case Study
by Chao Zhou, Dazhao Song, Anliang Lu, Zhenlei Li, Aibing Jin, Shan Yin, Xueqiu He, Sitao Zhu, Menghan Wei, Taoping Zhong and Ping Wang
Appl. Sci. 2026, 16(16), 8245; https://doi.org/10.3390/app16168245 - 19 Aug 2026
Viewed by 159
Abstract
Gully topography significantly disturbs the in-situ stress field of underlying coal and rock masses, but the quantitative relationship between gully morphology and stress anomalies remains unclear. Taking the Kuangou Coal Mine as an example, this study combines numerical simulation and field validation to [...] Read more.
Gully topography significantly disturbs the in-situ stress field of underlying coal and rock masses, but the quantitative relationship between gully morphology and stress anomalies remains unclear. Taking the Kuangou Coal Mine as an example, this study combines numerical simulation and field validation to investigate stress distribution characteristics in a gully region. The results show that mountain height is positively correlated with vertical stress, while gully depth is negatively correlated. In contrast, gully width and angle mainly affect the horizontal stress distribution, and their influence decays rapidly with increasing burial depth. Based on these findings, a stress disturbance coefficient λ is proposed, and a rock burst hazard classification criterion using the D/H ratio (burial depth D to mountain height H) is established: D < 1.6H for high hazard, 1.6HD < 2.4H for medium, 2.4HD < 3.6H for low, and D ≥ 3.6H for no hazard. Field validation using 16 large-energy mine tremor events confirms the reliability of the proposed criterion. The method provides a quantitative basis for differentiated rock burst prevention in gully regions. Full article
Show Figures

Figure 1

17 pages, 11043 KB  
Article
Effects of Different Lignin Contents and Water Contents on the Performance of DES-Based Hydrogels
by Panrong Guo, Xiaobo Xue, Mengxin Liu, Yunming Zou, Xian Wang, Jiongjiong Li, Fei Xiao, Xiangmeng Chen, Cheng Li, Hanyin Li and Zhongjian Li
Gels 2026, 12(8), 710; https://doi.org/10.3390/gels12080710 - 11 Aug 2026
Viewed by 295
Abstract
This study fabricated choline–acrylic acid deep eutectic solvent (DES) hydrogels via in situ free-radical polymerization and systematically investigated the individual and co-optimization effects of lignin dosage and water content on the chemical structure, micromorphology, compressive mechanical properties, swelling behavior, and thermal stability of [...] Read more.
This study fabricated choline–acrylic acid deep eutectic solvent (DES) hydrogels via in situ free-radical polymerization and systematically investigated the individual and co-optimization effects of lignin dosage and water content on the chemical structure, micromorphology, compressive mechanical properties, swelling behavior, and thermal stability of the hydrogels. This work quantitatively uncovers the co-optimization mechanism between the two variables in modulating crosslink density and pore architecture, thereby filling a research gap in the dual-factor co-optimization of biomass-based DES hydrogels. The results reveal that a moderate lignin dosage (0.02 g) generates abundant dynamic hydrogen bonds, densifying the crosslinked network and raising the maximum compressive stress from 0.378 MPa to 0.426 MPa, whereas excessive lignin triggers molecular aggregation and deteriorates mechanical performance. Higher water content dilutes crosslinking sites, reduces network compactness, boosts the swelling ratio while lowering compressive strength, and exerts negligible impacts on thermal degradation characteristics. FTIR analysis confirms that lignin participates in network formation solely through non-covalent hydrogen bonds, without forming new covalent bonds. A comprehensive performance evaluation identifies the optimal formulation as 0.02 g lignin and 60 g water. Although this two-factor optimization strategy provides clear experimental and theoretical guidance for designing sustainable soft materials, the present work still has limitations, including the use of only static laboratory characterizations, with no cyclic mechanical measurements or aging assessments. This study advances the customized performance tuning of lignin-derived DES hydrogels and facilitates the high-value valorization of lignin, which is promising for multifunctional green-material applications, including adsorption, flexible electronics, and biological carriers. Full article
Show Figures

Figure 1

21 pages, 8313 KB  
Article
Fracture Propagation Characteristics and Influencing Factors in Cross-Layer Fracturing of Interlayered Shale Reservoirs
by Nannan Lv, Xiaoxia Chen, Zhigang Wen, Lei Wang, Di An and Lingyun Kong
Processes 2026, 14(15), 2520; https://doi.org/10.3390/pr14152520 - 6 Aug 2026
Viewed by 392
Abstract
Hydraulic-fracture transmission across lithologic interfaces governs fracture-height growth and reservoir connectivity in shale–sandstone interbedded reservoirs, yet the coupled effects of mechanical contrast, interface properties, layer geometry, and operational parameters remain insufficiently quantified. A two-dimensional plane-strain hydraulic-fracturing model was developed in ABAQUS by coupling [...] Read more.
Hydraulic-fracture transmission across lithologic interfaces governs fracture-height growth and reservoir connectivity in shale–sandstone interbedded reservoirs, yet the coupled effects of mechanical contrast, interface properties, layer geometry, and operational parameters remain insufficiently quantified. A two-dimensional plane-strain hydraulic-fracturing model was developed in ABAQUS by coupling Biot poroelasticity, cohesive-zone damage, and fracture-fluid flow. The model explicitly represents thin, alternating continental shale–sandstone layers, lithology-dependent in situ stress and stiffness, and cohesive interfaces; its implementation was assessed against the KGD solution and published layered-rock fracture morphologies. Under the simulated conditions, increasing the shale-to-sandstone elastic-modulus ratio from 0.4–0.5 to 0.6–0.8 reduced the number of penetrated layers from eight to six. Increasing tensile strength from 4 to 16 MPa reduced the number of penetrated layers from ten to six and the final fracture length from 32 to 21 m, while increasing the maximum aperture from 6.75 to 9.02 mm. A sandstone interlayer thickness of approximately 3 m marked a transition in the present parameter set rather than a universal threshold. Sandstone-centered perforation and higher injection rates promoted vertical connectivity, whereas very high fluid viscosity increased near-wellbore aperture but restricted long-distance fracture-height growth. These results provide a mechanics-based framework for optimizing perforation placement and stage-specific fluid design in continental interbedded shale reservoirs. Full article
Show Figures

Figure 1

20 pages, 8008 KB  
Article
A Modified Unlu–Gercek Longitudinal Deformation Profile for Circular Inclined Roadway: Incorporating Spatial and Geomechanical Parameters
by Xin Ge, Linfeng Wang, Kaiqi Yang and Mingfei Wu
Appl. Sci. 2026, 16(15), 7619; https://doi.org/10.3390/app16157619 - 31 Jul 2026
Viewed by 309
Abstract
Determining the optimal timing for support installation is of critical importance to the stability of surrounding rock in inclined mine roadways. Existing expressions for the longitudinal deformation profile (LDP) commonly overlook the coupled effects of spatial parameters and geomechanical parameters in inclined roadways. [...] Read more.
Determining the optimal timing for support installation is of critical importance to the stability of surrounding rock in inclined mine roadways. Existing expressions for the longitudinal deformation profile (LDP) commonly overlook the coupled effects of spatial parameters and geomechanical parameters in inclined roadways. In this study, the LDP expression for a circular inclined roadway under three-dimensional in situ stress conditions is firstly derived analytically. Subsequently, the coupled influence of spatial and geomechanical parameters on the LDP is investigated using FLAC3D numerical simulations. Finally, building upon the work of Unlu and Gercek, a modified LDP formula tailored to circular inclined roadways is proposed. The results indicate the following: (1) The parameters exerting a significant influence on the LDP shape can be ranked in descending order of importance as cohesion, internal friction angle, β, and α. Parameter α affects the LDP curve within the range of X/R = −6 to 6. As α increases from 5° to 35°, the displacement release coefficient at the tunnel face (u0*) drops sharply from 15.830% to 5.107%. In contrast, β, cohesion, and internal friction angle influence the LDP within the range of X/R = −6 to 9. Specifically, as β varies from 0° to 90°, u0* decreases from 15.830% to 8.920%; as cohesion increases from 2 MPa to 3.5 MPa, u0* declines from 18.80% to 14.38%; and as the internal friction angle rises from 20° to 35°, u0* drops from 18.40% to 12.08%. (2) Poisson’s ratio, the axial lateral pressure coefficient, the horizontal lateral pressure coefficient, and the elastic modulus exhibit relatively minor effects. Poisson’s ratio primarily influences the displacement release coefficient in the vicinity of the excavation face, within the range of X/R = −1 to 3. As Poisson’s ratio increases from 0.2 to 0.35, u0* decreases from 15.83% to 13.54%. Although its effect at the tunnel face is modest, it should not be disregarded. (3) Validation against existing LDP formulas and field data demonstrates that the proposed modified formula more effectively characterizes the spatiotemporal evolution of displacement release in the surrounding rock of circular inclined roadways, thereby providing a more reliable reference for determining the optimal support installation timing and optimizing the support design of inclined shafts. Full article
(This article belongs to the Section Civil Engineering)
Show Figures

Figure 1

30 pages, 7974 KB  
Article
Composite Hydrogel Using Methacrylated Silk Fibroin and Mercaptolated Hyaluronic Acid with Encapsulating Zinc-Quercetin Nanozyme
by Lei Nie, Xinran Li, Ruqiang Gong, Han Zhang and Guohua Jiang
Gels 2026, 12(8), 665; https://doi.org/10.3390/gels12080665 - 24 Jul 2026
Viewed by 615
Abstract
Given the urgent need to regulate oxidative stress microenvironments in chronic wound healing, hydrogel dressings that simultaneously integrate antioxidant, antibacterial, mechanically adaptive, and biocompatible properties are highly desirable. In this study, a natural polymer-based composite hydrogel dressing loaded with zinc-quercetin nanozyme (Zn-Q) was [...] Read more.
Given the urgent need to regulate oxidative stress microenvironments in chronic wound healing, hydrogel dressings that simultaneously integrate antioxidant, antibacterial, mechanically adaptive, and biocompatible properties are highly desirable. In this study, a natural polymer-based composite hydrogel dressing loaded with zinc-quercetin nanozyme (Zn-Q) was designed. The gel skeleton was constructed via a dual network of photocrosslinked methacrylated silk fibroin (SilMA) and mercaptolated hyaluronic acid (HA-SH) via thiol-ene click chemistry, with the catalase (CAT)-like Zn-Q nanozyme encapsulated in situ within the network, thereby achieving synergy between chemical crosslinking and dynamic metal-polyphenol coordination. Systematic characterization revealed that Zn-Q nanozyme adopted a stable octahedral coordination configuration, and its continuous porous structure exposed abundant catalytically active sites. The composite hydrogels exhibited a highly interconnected, three-dimensional (3D) porous morphology, with swelling ratios that increased significantly with Zn-Q nanozyme content (up to around 1082%). Rheological and mechanical tests demonstrated that although incorporating the nanozyme reduced the storage modulus, the reversible physical crosslinks formed via hydrogen bonding and coordination interactions endowed the material with excellent tensile toughness and energy-dissipation capacity, exhibiting typical Mullins softening behavior. Functional evaluation showed that Zn-Q nanozyme conferred superior free radical scavenging capability to the hydrogels and exerted dose-dependent inhibition against both Staphylococcus aureus and Escherichia coli. Furthermore, the hydrogels exhibited favorable adhesion to various wet organs and heterogeneous material surfaces, with hemolysis rates below 5% and cell viability exceeding 100% after 3 days of culturing with fibroblasts, confirming their excellent hemocompatibility and cytocompatibility. This study provides an experimental basis for developing a new type of wound repair materials that integrate antioxidant, anti-infective, and mechanically adaptive properties, holding significant application potential in oxidative stress-related tissue repair fields. Full article
Show Figures

Figure 1

16 pages, 3257 KB  
Article
Critical Evaluation of the Current Design of Coal Room and Pillar Panels as Input for Changes to the Future Design Methodology
by Andre Vervoort
Appl. Sci. 2026, 16(15), 7405; https://doi.org/10.3390/app16157405 - 24 Jul 2026
Viewed by 245
Abstract
The design of coal room and pillar panels has traditionally focused primarily on pillar behaviour. However, if the design process were approached from first principles, one would start with the design of the rooms and first look at the redistribution of the stresses [...] Read more.
The design of coal room and pillar panels has traditionally focused primarily on pillar behaviour. However, if the design process were approached from first principles, one would start with the design of the rooms and first look at the redistribution of the stresses around the rooms. Numerical simulations (elastic and elasto-plastic behaviour) clearly demonstrate the development of relaxed zones in both the roof and floor strata, as well as along the sidewalls in the pillars. The extent of these relaxed zones is governed by factors such as excavation geometry and the ratio of vertical-to-horizontal in situ stresses. A second concern is the widespread tendency to approximate in situ pillar behaviour through vertically loading experiments, such as uniaxial compression tests. These experiments would only be representative if pillars were constructed structures. More complex stress paths develop within the coal pillars during mining, and the load is far from uniform. The current design practices are based on the average pillar load, while the rock behaviour is not determined by average stresses but by local stresses. This paper concludes by proposing directions for future research and by identifying opportunities to improve current understanding and design methodologies for coal room and pillar workings. Full article
Show Figures

Figure 1

24 pages, 6995 KB  
Article
Decoding the Geomechanical Memory of Deep Shales: Decoupling Extreme 3D Stress and Overpressure for Unconventional Engineering
by Gang Wang, Changyu Fan, Zhenliang Wang and Haijun Yang
Geosciences 2026, 16(7), 276; https://doi.org/10.3390/geosciences16070276 - 6 Jul 2026
Viewed by 444
Abstract
Predicting present-day pore pressure and 3D in situ stress in ultra-deep fold-thrust belts is severely hindered by the inadequacies of traditional 1D vertical compaction models, which fail to account for massive lateral tectonic compression and continuous elastoplastic yielding. To overcome this, a 3D [...] Read more.
Predicting present-day pore pressure and 3D in situ stress in ultra-deep fold-thrust belts is severely hindered by the inadequacies of traditional 1D vertical compaction models, which fail to account for massive lateral tectonic compression and continuous elastoplastic yielding. To overcome this, a 3D poro-elastoplastic analytical framework is developed based on the Modified Cam-Clay model to decode the irreversible “geomechanical memory” of deeply buried argillaceous rocks. Applied to the highly compressed Kelasu Thrust Belt, this method links volumetric strain with mean and deviatoric stresses in stress-invariant space to reconstruct the maximum paleo-pore pressure and 3D paleo-stress tensor during the Coulomb Failure Period (CFP). The quantitative decoupling reveals an extreme state of geopressure prior to macroscopic faulting (pore pressure ratio α = 0.85–0.89). Crucially, the mean stress surge is identified as the dominant driver, generating ~91% of the excess overpressure. Consequently, horizontal tectonic compression accounts for 80–90% of the total overpressure anomaly, fundamentally overturning the classical assumption that vertical undercompaction (10–20%) is the primary mechanism. Furthermore, it is demonstrated that during subsequent tectonic uplift, the heavily compacted, salt-capped mudstones follow an undrained unloading path; the reduction in lithostatic burden is almost entirely offset by fluid depressurization, maintaining a constant effective stress state. This physically decoupled framework provides a rigorous basis for optimizing pre-drill safe mud-weight windows, designing hydraulic fracturing in highly deviatoric stress regimes, and assessing caprock integrity for deep geo-energy storage. Full article
(This article belongs to the Section Geomechanics)
Show Figures

Figure 1

22 pages, 20190 KB  
Article
Construction of PEGMC Copolymerized Modified Hydrogel and Its Mechanism for Salt Retardation and Nutrient Immobilization in Dryland Soil
by Jianwei Cheng, Rui Xiang, Jingcai Liu, Baocun Yang and Xiaobing Ma
Gels 2026, 12(7), 595; https://doi.org/10.3390/gels12070595 - 3 Jul 2026
Cited by 1 | Viewed by 368
Abstract
Aiming at severe soil secondary salinization, poor water retention and insufficient salt tolerance of conventional acrylic-based modifiers in arid and semi-arid regions of China, a poly(ethylene glycol) maleate citrate (PEGMC) crosslinking monomer was synthesized through esterification, and a dual covalent–hydrogen crosslinked P(PEGMC/AA) hydrogel [...] Read more.
Aiming at severe soil secondary salinization, poor water retention and insufficient salt tolerance of conventional acrylic-based modifiers in arid and semi-arid regions of China, a poly(ethylene glycol) maleate citrate (PEGMC) crosslinking monomer was synthesized through esterification, and a dual covalent–hydrogen crosslinked P(PEGMC/AA) hydrogel was fabricated via free radical copolymerization with acrylic acid (AA). The hydrogel was characterized by NMR, FTIR, SEM, TGA and elemental mapping, while its binding mechanism with saline–alkali ions was elucidated through DFT calculations and molecular dynamics simulations. Its amelioration performance was evaluated through swelling, soil water retention, desalination and pot germination experiments. The hydrogel exhibited outstanding water absorbency, salt resistance and dry–wet cycling stability, with swelling ratios of 712 g/g in deionized water and 285 g/g in 0.9% NaCl solution, and remained 200 g/g after four dry–wet cycles. It enhanced soil water retention remarkably (over 93% after 72 h). At 0.30% dosage, soil salt content declined from 7.1 g/kg to 1.3 g/kg with desalination efficiency exceeding 80%, owing to porous physical adsorption and chemical chelation toward Na+, Ca2+ and Mg2+, with a binding energy of −136.936 kJ/mol. Pot tests revealed that crop germination rate rose from 19% (blank) to 75% under severe saline–alkali stress. Meanwhile, the hydrogel inhibited nutrient leaching and favored soil-water conservation. This work first incorporated PEGMC monomer into agricultural hydrogels to construct a stable dual crosslinked network, clarifying its synergistic mechanisms for salt fixation and water retention macroscopically and microscopically. It provides a promising functional material and theoretical basis for green, efficient in situ amelioration of dryland saline–alkali soil. Full article
(This article belongs to the Section Gel Analysis and Characterization)
Show Figures

Graphical abstract

19 pages, 9827 KB  
Article
Hydrogen-Induced Anisotropy in Single-Crystal Elastic Constants of 304L Stainless Steel via In Situ Neutron Diffraction and Kröner Modeling
by Byungrok Moon, Baek-Seok Seong, Donghyeon Choi, Jimin Nam, Jungbin Park, Seung-Gun Lee, Wanchuck Woo, Hobyung Chae and Namhyun Kang
Materials 2026, 19(13), 2796; https://doi.org/10.3390/ma19132796 - 1 Jul 2026
Viewed by 514
Abstract
Although hydrogen embrittlement mechanisms focus predominantly on the plastic deformation regime, the fundamental effect of interstitial hydrogen on the elastic regime remains elusive. The elastic behavior due to hydrogen is critical because lattice alterations drive microstructural instabilities and macro-failure. This work aims to [...] Read more.
Although hydrogen embrittlement mechanisms focus predominantly on the plastic deformation regime, the fundamental effect of interstitial hydrogen on the elastic regime remains elusive. The elastic behavior due to hydrogen is critical because lattice alterations drive microstructural instabilities and macro-failure. This work aims to determine the hydrogen-affected single-crystal elastic constants and anisotropy of 304L stainless steel and link them to dislocation-mediated embrittlement mechanisms. Using in situ neutron diffraction and the Kröner model, this study derived, for the first time, the single-crystal elastic constants (Cij) of 304L austenitic stainless steel. Hydrogen charging expanded the lattice constant by ~0.7% (from 3.558 Å to 3.583 Å) and selectively increased C11 and C12 while leaving C44 nearly unchanged. Consequently, while bulk polycrystalline Young’s and shear moduli remained invariant, Zener’s anisotropy and Poisson’s ratios increased. Hydrogen reduced the shear modulus of the {111}<110> slip system by ~8.3% and the Peierls–Nabarro stress by approximately 38%. The experimental derivation of single-crystal elastic moduli proved that lattice-scale modifications selectively enhanced volumetric stiffness while lowering the slip-direction shear modulus. Coupled with hydrogen-induced lattice expansion, these findings validate the theoretical volumetric and modulus components of the hydrogen-enhanced localized plasticity mechanism, thereby elucidating its fundamental origin. Full article
(This article belongs to the Section Mechanics of Materials)
Show Figures

Graphical abstract

27 pages, 15798 KB  
Article
Evolution of Mechanical Parameters in Fractured Carbonate Rocks Under Simulated High-Stress Conditions of Ultra-Deep Reservoirs
by Zhimin Wang, Hui Zhang, Haoyang Zan, Xin Wang, Ziwei Liu, Wentao Zhang, Xiang Zhang, Changsheng Ma, Yaozheng Duan and Wendong Yang
Processes 2026, 14(13), 2108; https://doi.org/10.3390/pr14132108 - 29 Jun 2026
Viewed by 327
Abstract
The ultra-deep carbonate reservoirs of the Fuman Oilfield in the Tarim Basin are characterized by intense fracture development. The coupled effects of high in-situ stress and fracture structures significantly deteriorate the mechanical properties of the rock mass, thereby constraining wellbore stability evaluation and [...] Read more.
The ultra-deep carbonate reservoirs of the Fuman Oilfield in the Tarim Basin are characterized by intense fracture development. The coupled effects of high in-situ stress and fracture structures significantly deteriorate the mechanical properties of the rock mass, thereby constraining wellbore stability evaluation and safe drilling and completion operations. Existing studies have primarily focused on medium- to low-confining-pressure conditions and isolated fracture parameters, making it difficult to characterize the mechanical response of fractured rock masses under the high-stress conditions of ultra-deep reservoirs. To address this issue, limestone from the Yingshan Formation of the target reservoir was selected as the research object, and fractured specimens with varying fracture angles, widths, and densities were prepared. Uniaxial compression tests and triaxial compression tests under high confining pressures of 90 MPa and 120 MPa were conducted to systematically reveal the evolution of rock strength, deformation parameters, shear strength parameters, and failure modes under the coupled influence of fracture geometric parameters and confining pressure. On this basis, a confining-pressure–fracture coupled damage prediction model was established, and wellbore stability around the reservoir was analyzed using Finite Difference Method. The results indicate that fracture angle causes the peak strength and Young’s modulus to first decrease and then increase, with an inclination angle near 45° representing the most unfavorable fracture orientation. Increases in fracture width and density lead to continuous degradation of strength and stiffness. Although high confining pressure can close fractures and enhance load-bearing capacity, it cannot eliminate the controlling influence of fractures on failure pathways. Sensitivity analysis shows that the Young’s modulus and Poisson’s ratio are most sensitive to fracture width; cohesion is mainly governed by fracture width and density; and the internal friction angle is most sensitive to fracture density. Numerical simulations of wellbore stability further confirm that medium-inclination, large-aperture, and high-density fractures significantly increase the risk of wellbore instability. The findings provide experimental and theoretical support for mechanical-parameter correction, wellbore stability assessment, and construction-risk control in ultra-deep fractured carbonate reservoirs. Full article
(This article belongs to the Special Issue Structure Optimization and Transport Characteristics of Porous Media)
Show Figures

Figure 1

19 pages, 5394 KB  
Article
Effect of Reservoir Compressive Stress on Rock Apparent Fracture Toughness in Hydraulic Fracturing
by Guofeng Han, Di Wang, Xinguang Zhu, Lixiang Wang and Chun Feng
Appl. Sci. 2026, 16(12), 6114; https://doi.org/10.3390/app16126114 - 17 Jun 2026
Viewed by 318
Abstract
Hydraulic fracturing is the primary technology for extracting unconventional oil and gas resources. Rock apparent fracture toughness is the most critical parameter in hydraulic fracturing processes. Rock apparent fracture toughness exhibits characteristics distinct from those of metallic materials, particularly as field-estimated values of [...] Read more.
Hydraulic fracturing is the primary technology for extracting unconventional oil and gas resources. Rock apparent fracture toughness is the most critical parameter in hydraulic fracturing processes. Rock apparent fracture toughness exhibits characteristics distinct from those of metallic materials, particularly as field-estimated values of rock apparent fracture toughness in hydraulic fracturing exceed laboratory-measured values by 1–2 orders of magnitude. Existing interpretation models assume a constant stress distribution in the fracture process zone (FPZ), which contradicts the softening behavior of rock. To address this gap, and based on the assumption of a power-law softening stress distribution in the FPZ of quasi-brittle rock, we develop a mode I apparent fracture toughness model for rock under far-field tensile and compressive stress configurations. This model considers both the softening characteristics of rock and the fluid lag effect. A comparative analysis was conducted on the differences in rock apparent fracture toughness between far-field compressive stress and tensile stress configurations. The results reveal that the difference in configuration between far-field compressive stress and tensile stress constitutes the fundamental reason for the order-of-magnitude discrepancy between the rock apparent fracture toughness estimated from hydraulic fracturing field tests and that measured in laboratory experiments. The influence of the ratio of in situ stress to tensile strength, the ratio of FPZ length to fracture length, the ratio of fluid lag zone length to fracture length, and stress distribution within the FPZ on rock apparent fracture toughness was analyzed, and these factors are found to have decisive effects on the rock apparent fracture toughness. Additionally, the size effect on rock apparent fracture toughness was discussed. This research contributes to more precise hydraulic fracturing parameter design. Full article
Show Figures

Figure 1

17 pages, 4631 KB  
Article
The Fracability Evaluation of Deep Coal Reservoirs in the Ordos Basin Based on Well Logging and Rock Mechanics Experiments
by Guoxiao Zhou, Zheng Zhang, Yanqing Wang, Wenguang Tian, Ze Deng, Hao Chen, Xianlin Wu and Jian Shen
Appl. Sci. 2026, 16(12), 6084; https://doi.org/10.3390/app16126084 - 16 Jun 2026
Viewed by 284
Abstract
The Ordos Basin contains abundant deep coalbed methane (CBM) resources, whose efficient development largely depends on the effective implementation of large-scale volumetric fracturing technologies. To comprehensively evaluate the fracability of deep coal reservoirs in this basin, this study focuses on the No. 8 [...] Read more.
The Ordos Basin contains abundant deep coalbed methane (CBM) resources, whose efficient development largely depends on the effective implementation of large-scale volumetric fracturing technologies. To comprehensively evaluate the fracability of deep coal reservoirs in this basin, this study focuses on the No. 8 coal seam of the Benxi Formation. Based on rock mechanical experiments and well-logging data, multivariate linear regression models were established to predict Young’s modulus (E) and Poisson’s ratio (μ). The Huang model was applied to determine the three principal in situ stresses of the coal seam. Furthermore, a comprehensive fracability evaluation model was constructed by integrating three key indicators, namely brittleness index (BI), horizontal stress difference (Δσh), and tensile strength (St). The entropy evaluation method was used to determine the weights of these indicators, and the fracability index (F) of deep coal reservoirs was calculated. The results show that the weights of the factors controlling fracability decrease in the following order: tensile strength (0.434), brittleness index (0.332), and horizontal stress difference (0.234). The No. 8 coal seam in the northern and southern parts of the basin, including the Daning–Jixian, Shenfu, Jiaxian, northern Yulin, and southern Yanchuan areas, exhibits relatively favorable fracability, whereas northern Liulin and southern Yulin show comparatively poor fracability. In addition, the fracability index shows a clear positive correlation with the peak gas production of vertical CBM wells. Based on this relationship, the deep coal reservoirs were classified into three categories: Class I reservoirs (F > 0.55), characterized by high fracability and high production potential; Class II reservoirs (0.50 ≤ F ≤ 0.55), characterized by moderate fracability and moderate production potential; and Class III reservoirs (F < 0.50), characterized by low fracability and low production potential. These findings provide a scientific basis for identifying fracturing sweet spots and for the classification evaluation of deep CBM resources in the Ordos Basin. Full article
Show Figures

Figure 1

12 pages, 2137 KB  
Article
Fe-C Micro-Electrolysis of HMX: Performance Optimization, Degradation Mechanisms, and Toxicity Evolution Revealed by Toxicogenomics-Based Assay
by Xin Jiang, Dongqi Wang, Guodong Chai, Guangxiang Duan, Haoting Xiong, Yishi Qian, Lin Xie, Yi Xiao, Heyun Yang, Mingrui Fan, Jiake Li, Yishan Lin, Xiaoliang Li and Yuling Liu
Toxics 2026, 14(6), 484; https://doi.org/10.3390/toxics14060484 - 31 May 2026
Viewed by 1509
Abstract
This study evaluated the degradation of 1,3,5,7-tetranitro-1,3,5,7-tetrazocane (HMX) in simulated wastewater using an iron-carbon (Fe-C) micro-electrolysis system. The treatment efficiency was systematically evaluated under varying initial pH, Fe dosage, and Fe/C mass ratios. Under the optimized operating conditions (initial pH of 4, Fe [...] Read more.
This study evaluated the degradation of 1,3,5,7-tetranitro-1,3,5,7-tetrazocane (HMX) in simulated wastewater using an iron-carbon (Fe-C) micro-electrolysis system. The treatment efficiency was systematically evaluated under varying initial pH, Fe dosage, and Fe/C mass ratios. Under the optimized operating conditions (initial pH of 4, Fe dosage of 70 g/L, and an Fe/C mass rat of 1:1), the system achieved a maximum HMX removal efficiency of 98.4%. Kinetic analysis indicated that the degradation process conformed to pseudo-first-order kinetics. Mechanistically, HMX removal was attributed to interfacial adsorption and co-precipitation via in situ generated Fe2+ and Fe3+ hydroxides, alongside reductive transformation mediated by Fe, Fe2+, and nascent hydrogen ([H]) evolved during the micro-electrolysis process. To assess the molecular toxicity evolution of the treated wastewater, a toxicogenomic assay was deployed to evaluate the molecular toxicity evolution of the treated wastewater matrix. The transcriptomic profiling revealed that DNA damage and oxidative stress were the predominant cellular stress responses induced by the wastewater. While the total toxic effect transcript index (TELItotal) exhibited a transient initial increase before steadily declining, the overall toxic potency remained within a relatively stable range throughout the treatment cycle. Ultimately, this study provides critical insights into process optimization and pathway elucidation, demonstrating that Fe-C micro-electrolysis is a promising and scalable pretreatment technology for the remediation of energetic compound-laden industrial effluents. Full article
Show Figures

Figure 1

30 pages, 8042 KB  
Article
Study on Damage Evolution and Acoustic Emission Response Characteristics of Loaded Saturated Sandstone Under Different Freeze–Thaw Temperature Differences
by Peiyun Xu, Xiaolong Zhang, Shugang Li, Wuyi Yang, Haiqing Shuang, Xiaoxu Chen and Kai Wang
Appl. Sci. 2026, 16(11), 5285; https://doi.org/10.3390/app16115285 - 25 May 2026
Viewed by 364
Abstract
In cold-region open-pit mine slopes, damage accumulation and mechanical deterioration induced by in situ stress and seasonal freeze–thaw alternation can easily trigger sudden instability. To investigate the effects of temperature difference under coupled constant loading and freeze–thaw action on the mechanical response and [...] Read more.
In cold-region open-pit mine slopes, damage accumulation and mechanical deterioration induced by in situ stress and seasonal freeze–thaw alternation can easily trigger sudden instability. To investigate the effects of temperature difference under coupled constant loading and freeze–thaw action on the mechanical response and failure precursors of rock, based on the self-developed TCDR-I temperature–stress coupled testing system, uniaxial compression tests and real-time acoustic emission monitoring were conducted on water-saturated sandstone under a constant load of 1.4 MPa and multiple freeze–thaw temperature gradients. The mechanical behavior of freeze–thawed water-saturated sandstone and the acoustic emission characteristics during failure were analyzed. Combined with critical slowing down theory, the failure precursor characteristics of water-saturated sandstone under freeze–thaw action were investigated, and the internal mechanism of damage accumulation and defect evolution under the coupled effects of constant load and freeze–thaw temperature difference was revealed. The results show that, with increasing freeze–thaw temperature difference, the number of cracks and crack ratio in the loaded water-saturated sandstone gradually increased, whereas the compressive strength, elastic modulus, and total strain energy gradually decreased. After freeze–thaw treatment at −40 to 20 °C, the compressive strength, elastic modulus, and total strain energy decreased by 19.24%, 13.72%, and 44.77%, respectively, compared with those of the unfrozen–thawed specimens. During specimen failure, the dominant crack type gradually shifted from shear cracking to tensile cracking. The acoustic emission b-value and precursor points identified from multiparameter variance can both be used as criteria for predicting specimen failure. The warning lead time increased with increasing freeze–thaw temperature difference. After freeze–thaw treatment at −40 to 20 °C, the predicted failure times based on these two indicators preceded the actual failure time by 11.05 s and 16.19 s, respectively. The findings provide a theoretical basis for the early warning of sudden disasters in rock masses in cold-region engineering. Full article
Show Figures

Figure 1

Back to TopTop