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39 pages, 29473 KB  
Article
Application of High-Pressure Water-Jet Slotting and Pre-Cracked Weakening Belt Technology in Gob-Side Entry Retaining for Roof Cutting and Pressure Relief
by Dong Duan, Jingbo Wang, Jie Li, Xiaojing Feng, Jian Zhang, Haolin Guo and Quandong Wang
Appl. Sci. 2026, 16(8), 3729; https://doi.org/10.3390/app16083729 - 10 Apr 2026
Viewed by 241
Abstract
To address the difficulty of directionally cutting thick, hard key strata in gob-side entry retaining using conventional blasting or hydraulic fracturing, this paper proposes a high-pressure water-jet slotting-induced pre-cracked weakening belt (PCWB) roof-cutting technology. Several finite-length PCWBs are arranged within the key stratum [...] Read more.
To address the difficulty of directionally cutting thick, hard key strata in gob-side entry retaining using conventional blasting or hydraulic fracturing, this paper proposes a high-pressure water-jet slotting-induced pre-cracked weakening belt (PCWB) roof-cutting technology. Several finite-length PCWBs are arranged within the key stratum and designed to coalesce into a plane, inducing through-going roof failure along a pre-determined path. A fixed–fixed key strata beam model combined with linear elastic fracture mechanics shows that the double-belt configuration forces the bending moment and shear force to concentrate in a thin rock bridge, where bending and shear stresses are amplified by about 1.5–2.8 times and 1.2–1.7 times, respectively, for 2–4 m thick key strata, providing a mechanical basis for preferential tensile–shear failure. Two-dimensional RFPA2D simulations reveal “width-dominated, length-assisted” control of cutting performance and identify an optimal weakening belt geometry of about 400 mm in width and 200 mm in length. Three-dimensional numerical modeling of parallel slot pairs indicates that intra-pair spacing of about 40 mm produces a continuous, directional weakening belt, whereas smaller or larger spacing causes, respectively, destructive interference or loss of connectivity. High-pressure water-jet tests (320 MPa, 0.33 mm nozzle, 1.30 mm/s traverse speed) on limestone blocks confirm that single slots can penetrate the full thickness and that cracks from adjacent slots coalesce through the rock bridge, forming a wide, straight fracture band. Field application in the Dongjiang Mine (3.5 m limestone key stratum, ~400 m depth) shows that the first weighting is advanced from the 7th to the 3rd day, peak support resistance is reduced from 8.8 to 7.4 MPa, and periodic weighting becomes more frequent and smoother. The PCWB technology is therefore suitable for panels with 2–4 m thick hard key strata at similar depths, offering precise key stratum severance, active stress relief, and safe, controllable construction. Full article
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11 pages, 4391 KB  
Article
Axial Tracheids Widening Across Vein Orders in Ginkgo biloba Leaves and Their Relationship with Hydraulic Path Length
by Gusang Qunzong, Yuchen Cao, Qianhong Guo and Mengying Zhong
Biology 2026, 15(8), 598; https://doi.org/10.3390/biology15080598 - 10 Apr 2026
Viewed by 403
Abstract
Leaves of vascular plants exhibit a tip-to-base xylem conduit widening pattern, which minimizes hydraulic resistance as leaves expand. The extent to which different leaf vein orders conform to this pattern remains largely unexplored, particularly in species with dichotomously branching veins. In this study, [...] Read more.
Leaves of vascular plants exhibit a tip-to-base xylem conduit widening pattern, which minimizes hydraulic resistance as leaves expand. The extent to which different leaf vein orders conform to this pattern remains largely unexplored, particularly in species with dichotomously branching veins. In this study, we focused on Ginkgo biloba, a model species with dichotomous venation, to explore tracheid variation across leaf vein orders and its linkage with hydraulic path length. Across 108 leaves from three sites, tracheid hydraulic diameter (D) scaled significantly with hydraulic path length (L) at an overall scaling slope of 0.33 (95% CI: 0.31–0.34, r2 = 0.53, p < 0.001). Scaling exponents differed significantly among sites and vein orders, and D decreased progressively with increasing vein order. This study provides a potentially valuable approach for investigating the effects of hydraulic path length on xylem conduit diameter and offers a framework for subsequent research on plant venation and hydraulic transport networks. Full article
(This article belongs to the Section Ecology)
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15 pages, 1269 KB  
Article
Reproducible Equal-Width Geometric Design Framework for Hydrodynamic-Cavitation Venturi Devices: Reuleaux Cross Section and Controlled Axial Twist
by Lorenzo Albanese, Salvatore Filippo Di Gennaro, Francesco Meneguzzo and Riccardo Dainelli
Sustainability 2026, 18(7), 3430; https://doi.org/10.3390/su18073430 - 1 Apr 2026
Viewed by 343
Abstract
Hydrodynamic cavitation in Venturi devices is strongly influenced by geometry and is increasingly considered as a non-thermal route for process intensification in continuous-flow applications, including water-treatment contexts. However, Venturi design practice still relies largely on incremental modifications of circular throats and on loosely [...] Read more.
Hydrodynamic cavitation in Venturi devices is strongly influenced by geometry and is increasingly considered as a non-thermal route for process intensification in continuous-flow applications, including water-treatment contexts. However, Venturi design practice still relies largely on incremental modifications of circular throats and on loosely formalized heuristics, which limits reproducibility and systematic comparison. This work presents a reproducible geometry-driven framework for the design of an equal-width Venturi throat under a fixed transverse envelope constraint. Two parameterized configurations are considered: a constant-width Reuleaux-triangle cross section (VRA) and a controlled axial-twist variant (VRAt). A minimal set of geometric design indicators is formulated in terms of throat flow area, wetted perimeter, hydraulic diameter, and geometric near-wall coverage within a prescribed thickness; for VRAt, a dimensionless kinematic factor is additionally introduced to quantify the path-length increase associated with the imposed twist. Under equal-width conditions, the Reuleaux section preserves the wetted perimeter of the circular reference while reducing flow area, whereas the twisted variant preserves the same transverse throat metrics and isolates twist as an explicit geometric design variable. The contribution is methodological: it provides a reproducible framework for early-stage geometric design and comparison of Venturi configurations relevant to hydrodynamic cavitation. It does not, by itself, report experiments, validation, or hydraulic, cavitation, or water-treatment performance predictions. Full article
(This article belongs to the Special Issue Emerging Technologies for Sustainable Water Treatment)
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20 pages, 6796 KB  
Article
Influence of Grain-Scale Heterogeneity on Hydraulic Fracturing: A Study Based on a Hydro-Mechanical Phase-Field Model
by Gen Zhang, Cheng Zhao, Zejun Tian, Jinquan Xing, Jialun Niu, Zhaosen Wang and Wenkang Yu
Materials 2026, 19(7), 1322; https://doi.org/10.3390/ma19071322 - 26 Mar 2026
Cited by 1 | Viewed by 352
Abstract
Heterogeneity at the grain scale strongly influences hydraulic fracturing in crystalline rock; however, systematic studies quantifying its impacts on the evolution of injection pressure and crack propagation remain limited. To address this gap, we employ a hydro-mechanical phase-field model incorporating Voronoi-based microstructures to [...] Read more.
Heterogeneity at the grain scale strongly influences hydraulic fracturing in crystalline rock; however, systematic studies quantifying its impacts on the evolution of injection pressure and crack propagation remain limited. To address this gap, we employ a hydro-mechanical phase-field model incorporating Voronoi-based microstructures to systematically quantify the effects of grain-scale heterogeneity on hydraulic fracturing. Two numerical experimental programs are designed to examine the effects of (i) mean grain size and (ii) mineral distribution under different axial stresses. The simulations reveal a close coupling between injection pressure and crack-length evolution, and both responses are strongly governed by grain-scale heterogeneity. When the fracture enters weak minerals, it advances rapidly and pressure drops; when it encounters on strong minerals, growth slows or arrests and pressure builds until a threshold triggers the next advance. Moreover, peak pressure statistics further indicate that mineral distribution dominates the response scatter, while axial stress plays a secondary role. Specifically, the mean peak pressures at 0 and 10 MPa are similar (about 14.31 and 14.21 MPa), whereas rearranging minerals within the same Voronoi tessellation changes peak pressure by more than 4 MPa. Higher peaks occur when strong minerals lie ahead of the initial crack tip, increasing resistance to initiation and early growth. Finally, the stress state modulates fracture trajectories: under low axial stress, fractures preferentially follow mineral boundaries, whereas higher axial stress strengthens macroscopic stress guidance and shifts the path toward a direction closer to being perpendicular to the maximum principal stress. This trend is consistent with energy minimization, since interface detouring under high axial stress incurs a larger elastic free energy penalty. Full article
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19 pages, 5421 KB  
Article
Performance Optimization and Vortex Analysis of a Micro-Head Dual-Duct Hydraulic Turbine
by Xiaoliang Zhou, Zhong Liu, Shuyun Zou, Bo Yang and Zheqin Yu
Energies 2026, 19(4), 968; https://doi.org/10.3390/en19040968 - 12 Feb 2026
Viewed by 391
Abstract
In order to solve the technical bottlenecks of low efficiency and high starting flow velocity of traditional turbines in the area of development of micro-head hydropower resources, a new type of hydraulic turbine in which the dual-duct is used was suggested and was [...] Read more.
In order to solve the technical bottlenecks of low efficiency and high starting flow velocity of traditional turbines in the area of development of micro-head hydropower resources, a new type of hydraulic turbine in which the dual-duct is used was suggested and was structurally optimized to enhance the energy conversion efficiency and operational stability of micro-head hydraulic turbines. By integrating Computational Fluid Dynamics with orthogonal experimental design, the influence of blade inlet angle, blade count, and axial length on the flow field within the turbine and hydraulic performance of the turbine was analyzed systematically, which gave the best runner set-up. Based on vortex analysis, supporting plate-type flow guide ribs were added at the diffuser exit to optimize the vortex structure. The results show that the optimized turbine output increased from 3.38 kW to 3.72 kW with a 10.06% increase, and the efficiency improved to 75.05% with a 18.41% enhancement. In addition, there is a significant wake vortex structure at the outlet of the micro-head dual-duct hydraulic turbine, and the asymmetric layout of three runner blades can achieve better vortex breaking and dissipation effects, improving flow field stability and unit operation reliability. The use of a dual-duct diffuser for micro-head hydropower provides a new technological path for promoting efficient development of micro-head hydraulic resources. Full article
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25 pages, 16827 KB  
Review
Development Status and Prospect of Roof-Cutting and Pressure Relief Gob-Side Entry Retaining Technology in China
by Dong Duan, Xin Wang, Jie Li, Baisheng Zhang, Xiaojing Feng, Yongkang Chang, Shibin Tang and Hewen Shi
Appl. Sci. 2026, 16(3), 1182; https://doi.org/10.3390/app16031182 - 23 Jan 2026
Viewed by 394
Abstract
China’s roof-cutting and pressure relief gob-side entry retaining (RCPR-GER) technology provides an efficient non-pillar mining solution that significantly enhances coal recovery. This paper presents a systematic review of the technological progress in Chinese coal mines from 2011 to 2023, based on an analysis [...] Read more.
China’s roof-cutting and pressure relief gob-side entry retaining (RCPR-GER) technology provides an efficient non-pillar mining solution that significantly enhances coal recovery. This paper presents a systematic review of the technological progress in Chinese coal mines from 2011 to 2023, based on an analysis of 1038 publications from CNKI, EI, and Web of Science using VOS viewer and Origin software. Four main technical approaches are examined: gob-side entry retaining without roadside filling, with roadside filling, with roof-cutting and pressure relief, and hybrid methods. Five key roof-cutting techniques are evaluated: dense drilling, high-pressure water-jet slotting, hydraulic fracturing, blasting, presplitting, and roof water injection softening. Successful applications have been documented in coal seams with thicknesses of 1.6–6.15 m and burial depths of 92–1037 m, demonstrating wide adaptability. The roof-cutting short-beam theory underpins the mechanism, which reduces roadway deformation, shortens the cantilever beam length, and alters stress transfer paths. Compared to previous reviews on general gob-side entry retaining, this study offers a dedicated synthesis and comparative analysis of RCPR-GER technologies, establishing a selection framework grounded in geological compatibility and engineering practice. Future research should focus on adaptive parameter design for deep hard composite roofs, quantitative modeling of passive roof-cutting effects, optimization of cutting timing and orientation, and floor-heave control technologies to extend applications under complex geological conditions. Full article
(This article belongs to the Section Energy Science and Technology)
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21 pages, 1881 KB  
Article
Geometry-Driven Hydraulic Behavior of Pressure-Compensating Emitters for Water-Saving Agricultural Irrigation Systems
by Mohamed Ghonimy, Abdulaziz Alharbi, Nermin S. Hussein and Hisham M. Imam
Water 2026, 18(2), 244; https://doi.org/10.3390/w18020244 - 16 Jan 2026
Viewed by 585
Abstract
Water-saving agricultural irrigation systems depend heavily on the hydraulic stability of pressure-compensating (PC) emitters, whose performance is fundamentally shaped by internal flow-path geometry. This study analyzes six commercial PC emitters (E1E6) operated under pressures of 0.8–2.0 bar [...] Read more.
Water-saving agricultural irrigation systems depend heavily on the hydraulic stability of pressure-compensating (PC) emitters, whose performance is fundamentally shaped by internal flow-path geometry. This study analyzes six commercial PC emitters (E1E6) operated under pressures of 0.8–2.0 bar to quantify how key geometric descriptors influence hydraulic parameters critical for efficient water use, including actual discharge (qact), discharge coefficient (k), pressure exponent (x), emission uniformity (EU), and flow variability. All emitters had discharge deviations within ±7% of nominal values. Longer and more tortuous labyrinths enhanced compensation stability, while emitters with wider cross-sections and shorter paths produced higher throughput but weaker regulation efficiency. Linear mixed-effects modeling showed that effective flow area increased k, whereas normalized path length and tortuosity reduced both k and x. Predictive equations derived from geometric indicators closely matched measured values, with deviations below ±0.05 L/h for k and ±0.05 for x. These results establish a geometry-based hydraulic framework that supports emitter selection and design in water-saving agricultural irrigation, aligning with broader Agricultural Water–Land–Plant System Engineering objectives and contributing to more efficient and sustainable water-resource utilization. Full article
(This article belongs to the Special Issue Agricultural Water-Land-Plant System Engineering, 2nd Edition)
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27 pages, 11326 KB  
Article
Numerical Study on Lost Circulation Mechanism in Complex Fracture Network Coupled Wellbore and Its Application in Lost-Circulation Zone Diagnosis
by Zhichao Xie, Yili Kang, Chengyuan Xu, Lijun You, Chong Lin and Feifei Zhang
Processes 2026, 14(1), 143; https://doi.org/10.3390/pr14010143 - 31 Dec 2025
Viewed by 501
Abstract
Deep and ultra-deep drilling operations commonly encounter fractured and fracture-vuggy formations, where weak wellbore strength and well-developed fracture networks lead to frequent lost circulation, presenting a key challenge to safe and efficient drilling. Existing diagnostic practices mostly rely on drilling fluid loss dynamic [...] Read more.
Deep and ultra-deep drilling operations commonly encounter fractured and fracture-vuggy formations, where weak wellbore strength and well-developed fracture networks lead to frequent lost circulation, presenting a key challenge to safe and efficient drilling. Existing diagnostic practices mostly rely on drilling fluid loss dynamic models of single fractures or simplified discrete fractures to invert fracture geometry, which cannot capture the spatiotemporal evolution of loss in complex fracture networks, resulting in limited inversion accuracy and a lack of quantitative, fracture-network-based loss-dynamics support for bridge-plugging design. In this study, a geologically realistic wellbore–fracture-network coupled loss dynamic model is constructed to overcome the limitations of single- or simplified-fracture descriptions. Within a unified computational fluid dynamics (CFD) framework, solid–liquid two-phase flow and Herschel–Bulkley rheology are incorporated to quantitatively characterise fracture connectivity. This approach reveals how instantaneous and steady losses are controlled by key geometrical factors, thereby providing a computable physical basis for loss-zone inversion and bridge-plugging design. Validation against experiments shows a maximum relative error of 7.26% in pressure and loss rate, indicating that the model can reasonably reproduce actual loss behaviour. Different encounter positions and node types lead to systematic variations in loss intensity and flow partitioning. Compared with a single fracture, a fracture network significantly amplifies loss intensity through branch-induced capacity enhancement, superposition of shortest paths, and shortening of loss paths. In a typical network, the shortest path accounts for only about 20% of the total length, but contributes 40–55% of the total loss, while extending branch length from 300 mm to 1500 mm reduces the steady loss rate by 40–60%. Correlation analysis shows that the instantaneous loss rate is mainly controlled by the maximum width and height of fractures connected to the wellbore, whereas the steady loss rate has a correlation coefficient of about 0.7 with minimum width and effective path length, and decreases monotonically with the number of connected fractures under a fixed total width, indicating that the shortest path and bottleneck width are the key geometrical factors governing long-term loss in complex fracture networks. This work refines the understanding of fractured-loss dynamics and proposes the concept of coupling hydraulic deviation codes with deep learning to build a mapping model from mud-logging curves to fracture geometrical parameters, thereby providing support for lost-circulation diagnosis and bridge-plugging optimisation in complex fractured formations. Full article
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27 pages, 21097 KB  
Article
Hydraulic Fracture Propagation in Topological Fractured Rock Masses: Insights from Visualized Experiments and Discrete Element Simulation
by Xin Gong, Jinquan Xing, Cheng Zhao, Haoyu Pan, Huiguan Chen, Jialun Niu and Yimeng Zhou
Materials 2026, 19(1), 25; https://doi.org/10.3390/ma19010025 - 20 Dec 2025
Viewed by 585
Abstract
The topological structure of fracture networks fundamentally controls the mechanical behavior and fluid-driven failure of brittle materials. However, a systematic understanding of how topology dictates hydraulic fracture propagation remains limited. This study conducted experimental investigations on granite specimens containing 10 different topological fracture [...] Read more.
The topological structure of fracture networks fundamentally controls the mechanical behavior and fluid-driven failure of brittle materials. However, a systematic understanding of how topology dictates hydraulic fracture propagation remains limited. This study conducted experimental investigations on granite specimens containing 10 different topological fracture structures using a self-developed visual hydraulic fracturing test system and an improved Digital Image Correlation (DIC) method. It systematically revealed the macroscopic control laws of topological nodes on crack initiation, propagation path, and peak pressure. The experimental results indicate that hydraulic crack initiation follows the “proximal-to-loading-end priority” rule. Macroscopically, the breakdown pressure shows a significant negative correlation with topological parameters (number of nodes, number of branches, normalized total fracture length). However, specific configurations (e.g., X-shaped nodes) can exhibit a configuration-strengthening effect due to dispersed stress concentration, leading to a higher breakdown pressure than simpler topological configurations. Discrete Element Method (DEM) simulations revealed the underlying mechanical essence at the meso-scale: the topological structure governs crack initiation behavior and initiation pressure by regulating the distribution of force chains and the mode of stress concentration within the rock mass. These findings advance the fundamental understanding of fracture–topology–property relationships in rock masses and provide insights for optimizing fluid-driven fracturing processes in engineered materials and reservoirs. Full article
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19 pages, 2362 KB  
Article
Experimental and Simulation Analysis of Die Gating System Design for AlSi9Cu3 Alloy Castings
by Juraj Ružbarský and Jozef Žarnovský
Appl. Sci. 2025, 15(23), 12766; https://doi.org/10.3390/app152312766 - 2 Dec 2025
Viewed by 913
Abstract
This study investigates the melt-flow behavior of the AlSi9Cu3 alloy during high-pressure die casting using a combined experimental and numerical approach. A transparent die and a high-speed camera were used to capture the transient motion of the melt front, while [...] Read more.
This study investigates the melt-flow behavior of the AlSi9Cu3 alloy during high-pressure die casting using a combined experimental and numerical approach. A transparent die and a high-speed camera were used to capture the transient motion of the melt front, while a validated computational model reproduced the filling dynamics under identical boundary conditions. The influence of the gating-system geometry—particularly the gate thickness, flow-path length, and inlet cross-section—was analyzed with respect to filling velocity, filling time, and flow stability. To quantify hydraulic losses that arise in practical die-casting conditions, an empirical correction coefficient k2 was introduced. Its value was obtained by regression analysis based on ten repeated measurements of filling time for each configuration. The deviation between the simulated and experimental velocities did not exceed 5%, demonstrating the reliability of the numerical model within the tested parameter range. The results show that the optimized gating design reduces flow instability, suppresses air entrapment zones, and yields a more uniform velocity distribution across the cavity. The empirical relations derived involving k2 provide a practical tool for preliminary design of gating systems, enabling faster optimization without extensive trial-and-error procedures. The methodology presented in this work offers a validated basis for improving gating-system performance in high-pressure die casting of aluminum alloys. Full article
(This article belongs to the Section Mechanical Engineering)
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32 pages, 8209 KB  
Article
Hydraulic Response of Dam-Break Flood Waves to Converging Channel Geometries: A Numerical Investigation
by Amir Ghaderi, Hooman Shahini, Hossein Mohammadnezhad, Hossein Hamidifar and Jaan H. Pu
Water 2025, 17(17), 2593; https://doi.org/10.3390/w17172593 - 2 Sep 2025
Cited by 1 | Viewed by 2176
Abstract
The topography of the flood path significantly influences the hydraulic characteristics of flood events, necessitating in-depth analysis to better understand the continuous dynamics during dam failure scenarios. These analyses are useful for the hydraulic evaluation of infrastructures downstream of a dam site. This [...] Read more.
The topography of the flood path significantly influences the hydraulic characteristics of flood events, necessitating in-depth analysis to better understand the continuous dynamics during dam failure scenarios. These analyses are useful for the hydraulic evaluation of infrastructures downstream of a dam site. This study examined the effects of four distinct converging configurations of guide-banks on the propagation of unsteady flow in a rectangular channel. The configurations studied included trapezoidal and crescent side contractions, as well as trapezoidal and crescent barriers located at the channel’s center, each with varying lengths and widths. Numerical simulations using computational fluid dynamics (CFD) simulation were validated against experimental data from the literature. The results reveal that the flow experienced a depth increase upon encountering converging geometries, leading to the formation of a hydraulic jump and the subsequent upstream progression of the resulting wave. The width of the obstacles and contractions had a marked influence on the flow profile. Increased channel contraction led to a more pronounced initial water elevation rise when the flood flow encountered the topography, resulting in a deeper reflected wave that propagated upstream at less time. The reflected wave increased the water elevations up to 0.64, 0.72, and 0.80 times the initial reservoir level (0.25 m), respectively, for cases with 33%, 50%, and 66% contraction ratios to the channel width (0.3 m). For the same cases at a certain time of t = 5.0 s, the reflected wave reached 1.1 m downstream, 0.5 m downstream, and 0.1 m upstream of the initial dam location. Waves generated by the trapezoidal configuration affected the upstream in less time than those formed by the crescent contraction. The length of the transitions or their placement (middle of/across the channel) did not significantly affect the flow profile upstream; however, within the converging zone, longer configurations resulted in a wider increased water elevation. Overall, the intensity of the hydraulic response can be related to one factor in all cases, namely, the convergence intensity of the flow lines as they entered the contractions. Full article
(This article belongs to the Special Issue Coastal Engineering and Fluid–Structure Interactions)
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22 pages, 4773 KB  
Article
Equivalent Modeling and Simulation of Fracture Propagation in Deep Coalbed Methane
by Cong Xiao, Jiayuan He, Lin Meng, Rusheng Zhang and Dong Xiong
Energies 2025, 18(16), 4432; https://doi.org/10.3390/en18164432 - 20 Aug 2025
Cited by 1 | Viewed by 1018
Abstract
Deep coalbed methane (CBM) is challenging to develop due to considerable burial depth, high ground stress, and complex geological structures. However, modeling deep CBM in complex formations and setting reasonable simulation parameters to obtain reasonable results still needs exploration. This study presents a [...] Read more.
Deep coalbed methane (CBM) is challenging to develop due to considerable burial depth, high ground stress, and complex geological structures. However, modeling deep CBM in complex formations and setting reasonable simulation parameters to obtain reasonable results still needs exploration. This study presents a comprehensive equivalent finite element modeling method for deep CBM. The method is based on the cohesive element with pore pressure of the zero-thickness (CEPPZ) model to simulate hydraulic fracture propagation and characterize the effects of bedding interfaces and natural fractures. Taking Ordo’s deep CBM in China as an example, a comprehensive equivalent model for hydraulic fracturing was developed for the limestone layer–coal seam–mudstone layer. Then, the filtration parameters of the CEPPZ model and the permeability parameters of the deep CBM reservoir matrix were inverted and calibrated using on-site data from fracturing tests. Finally, the propagation path of hydraulic fractures was simulated under varying ground stress, construction parameters, and perforation positions. The results show that the hydraulic fractures are more likely to expand into layers with low minimum horizontal stress; the effect of a sizable fluid injection rate on the increase in hydraulic fracture length is noticeable; the improvement effect on fracture length and area gradually weakens with the increased fracturing fluid volume and viscosity; and when directional roof limestone/floor mudstone layer perforation is used, and the appropriate perforation location is selected, hydraulic fractures can communicate the coal seam to form a roof limestone/floor mudstone layer indirect fracturing. The results can guide the efficient development of deep CBM, improving the human society’s energy structure. Full article
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18 pages, 3241 KB  
Article
Investigating the Double-Fissure Interactions of Hydraulic Concrete Under Three-Point Bending: A Simulation Study Using an Improved Meshless Method
by Hua Zhang, Yanran Shi, Dong Niu, Yongqiang Xin, Dunzhe Qi, Bufan Zhang, Wei Li and Shuyang Yu
Buildings 2025, 15(16), 2898; https://doi.org/10.3390/buildings15162898 - 15 Aug 2025
Viewed by 657
Abstract
Hydraulic concrete is prone to cracking and interactive propagation under complex stress, threatening its structural integrity and service life. To address limitations of traditional numerical methods (e.g., mesh dependency in FEM) and imprecision of existing meshless methods for characterizing multi-fissure interactions, this study [...] Read more.
Hydraulic concrete is prone to cracking and interactive propagation under complex stress, threatening its structural integrity and service life. To address limitations of traditional numerical methods (e.g., mesh dependency in FEM) and imprecision of existing meshless methods for characterizing multi-fissure interactions, this study improved SPH to model double-crack interactions in hydraulic concrete under three-point bending and clarify the underlying mechanisms. A modified SPH framework was developed by introducing a failure parameter (ξ) to refine the kernel function, enabling simulation of particle progressive failure via the Mohr–Coulomb criterion; a three-point bending numerical model of concrete beams containing double precast fissures (induced and obstacle) was established, with simulations under varying obstacle fissure angles (α = 0–75°) and distances (d = 0.02–0.06 m). The results show that the obstacle fissure angles significantly regulate the crack paths: as the α increases, the tensile stress concentration shifts from the obstacle fissure’s middle to its ends, causing cracks to deflect toward the lower end, with a reduced propagation length and lapping time; at an α = 75°, the obstacle fissure’s lower tip dominates failure, forming an “induced fissure–lower end of obstacle fissure–top” penetration mode. The fissure distances affect the stress superposition: a smaller d (e.g., 0.02 m) induces vertical propagation and rapid lapping with the obstacle fissure’s lower end, while a larger d (e.g., 0.06 m) weakens the stress at the induced fissure tip, promoting horizontal deflection toward the obstacle fissure’s upper end and transforming the failure into “upper-end dominated.” This confirms that the improved SPH method effectively simulates crack behaviors, providing insights into multi-fissure failure mechanisms and theoretical support for hydraulic structure crack control and safety evaluation. Full article
(This article belongs to the Section Building Structures)
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14 pages, 2211 KB  
Article
Discrimination Model of Interaction Between Hydraulic Fracture and Natural Fracture Based on Energy Balance
by Chao Liu, Xinggui Yang, Wenqi Cao, Jin Lin, Yuxuan Liu and Hang Zhang
Processes 2025, 13(6), 1652; https://doi.org/10.3390/pr13061652 - 24 May 2025
Viewed by 1377
Abstract
Hydraulic fracturing technology has been extensively applied for the efficient development of unconventional reservoirs. Influenced by geological discontinuities such as naturally fractured weak planes, the complex interaction behaviors between hydraulic fractures and natural fractures significantly challenge the prediction of hydraulic fracture propagation paths. [...] Read more.
Hydraulic fracturing technology has been extensively applied for the efficient development of unconventional reservoirs. Influenced by geological discontinuities such as naturally fractured weak planes, the complex interaction behaviors between hydraulic fractures and natural fractures significantly challenge the prediction of hydraulic fracture propagation paths. Establishing interaction discrimination models to predict these behaviors proves crucial for characterizing post-stimulation fracture complexity. This study develops a discrimination model for hydraulic-natural fracture interactions based on fracture mechanics theory and energy balance principles. The critical conditions of hydraulic fracture crossing, natural fracture opening, and slippage are quantified, and the interaction propagation behavior of hydraulic fracture and natural fracture under different geological parameters is analyzed. Key findings reveal three interaction modes after fracture intersection: direct hydraulic fracture crossing, natural fracture opening, and natural fracture slippage. However, continuous fluid injection-induced pressure buildup within fractures ultimately drives hydraulic fracture crossing through natural fractures. Threshold effects emerge at specific hydraulic fracture lengths (0.5 m) and fracture toughness values (2 MPa·m0.5), governing the transition between direct crossing and natural fracture opening behaviors. Horizontal stress difference directly modulates the threshold values of natural fracture cohesion, friction coefficient, and approach angle. These three parameters collectively control the temporal sequence of hydraulic fracture crossing behaviors through natural fractures. The interaction discrimination model established in this study provides theoretical guidance for optimizing fracturing parameter design in fractured reservoirs. Full article
(This article belongs to the Special Issue Advanced Fracturing Technology for Oil and Gas Reservoir Stimulation)
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19 pages, 3734 KB  
Article
Ionic Strength and pH-Responsive Ultrafiltration Membrane to Overcome the Typical Permeability-Selectivity Tradeoff
by Yian Chen and Yoram Cohen
Water 2025, 17(2), 254; https://doi.org/10.3390/w17020254 - 17 Jan 2025
Cited by 8 | Viewed by 3250
Abstract
Stimuli-responsive polysulfone (PSf) ultrafiltration (UF) membrane was developed via surface modification with tethered hydrophilic polyacrylic acid (PAA) chains of length greater than the native membrane pore size. The surface nano-structured (SNS) membrane was synthesized via atmospheric pressure plasma-induced graft polymerization (APPIGP) to form [...] Read more.
Stimuli-responsive polysulfone (PSf) ultrafiltration (UF) membrane was developed via surface modification with tethered hydrophilic polyacrylic acid (PAA) chains of length greater than the native membrane pore size. The surface nano-structured (SNS) membrane was synthesized via atmospheric pressure plasma-induced graft polymerization (APPIGP) to form a surface tethered PAA brush layer. The SNS-PAA-PSf UF membrane demonstrated hydraulic permeability and selectivity in the ranges of 0.74–2.29 × 1013 m−1 and 1.8–15.0 kDa, respectively, in response to changes in pH (3–11) and ionic strength (~0.02–547 mM). Membrane performance characterization showed that, for the above ranges of pH and salinity, the SNS-PAA-PSf UF membrane can overcome the typical membrane perm-selectivity tradeoff. The above performance is attributed to the swelling of the tethered PAA chains, upon ionic strength decrease or pH increase, which provides a less hindered transmembrane solute transport path, but increased hydraulic resistance. Conversely, at high ionic stress or low pH tethered chain collapse leads to lower molecular weight cutoff (MWCO) but with hydraulic resistance below that of the swollen state. The study results suggest that there is merit for further tailoring and improving the performance of stimuli-responsive UF membranes, developed via APPIGP, for applications over selected ranges of pH and ionic strength. Full article
(This article belongs to the Section Wastewater Treatment and Reuse)
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