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Search Results (668)

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Keywords = pore scale modeling

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22 pages, 4270 KB  
Article
Influence of Silt Physical Properties Under Pile Cap on Bearing Capacity of NT-CEP Pile Foundations
by Yongmei Qian, Bingyi Liu, Jialiang Liu, Yingtao Zhang, Yuchen Song and Ming Guan
Infrastructures 2026, 11(7), 234; https://doi.org/10.3390/infrastructures11070234 - 10 Jul 2026
Abstract
To clarify the poorly understood soil-structure interactions flanking the pile cap, this study systematically investigates the sensitivity of the New Type Concrete Expanded-Plate (NT-CEP) pile system to variations in sub-cap silt profiles, specifically moisture content (12%~16%) and dry density (80%~90% compaction degree). Mechanical [...] Read more.
To clarify the poorly understood soil-structure interactions flanking the pile cap, this study systematically investigates the sensitivity of the New Type Concrete Expanded-Plate (NT-CEP) pile system to variations in sub-cap silt profiles, specifically moisture content (12%~16%) and dry density (80%~90% compaction degree). Mechanical results indicate that the pile cap and expanded bearing plates operate via a robust synergistic load-sharing mechanism, with plastic failure zones localized beneath these components. Within conventional physical limits, fluctuations in moisture and density trigger less than a 4% variance in the ultimate compressive capacity, demonstrating the remarkable structural resilience of the internal compensatory load-transfer path. Based on the evaluated boundary conditions, a site-specific operational envelope featuring a minimum compaction degree of 80% and a critical moisture threshold below 14% is recommended as a preliminary reference. Nevertheless, explicit mechanical limitations must be rigorously addressed: these quantitative thresholds are strictly benchmarked against the scaled model testing utilizing a specific silt thickness and pile geometric stiffness ratio. Significant deviations in these parameters are expected under three distinct boundary constraints: (1) altered multi-axial stress paths inherent to complex interbedded geologies; (2) catastrophic matric suction loss and pore pressure accumulation driven by elevated groundwater tables; and (3) severe skin friction degradation common in thixotropic soft clays. Consequently, these indicators constitute a context-specific design envelope rather than a rigid universal standard, providing a mechanics-driven baseline for the gradient optimization of advanced NT-CEP foundations while delineating required calibration paths for future full-scale field instrumentation. Full article
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27 pages, 16404 KB  
Article
Biogenic Gas Charging Features in the Quaternary Mudstone of the Qaidam Basin
by Xiuyan Song, Jixian Tian, Xiaofang He, Guorong Yang, Hang Xu, Yu Qiao, Mengxia Huo and Hongtao Gao
Processes 2026, 14(14), 2256; https://doi.org/10.3390/pr14142256 - 10 Jul 2026
Abstract
Against the global low-carbon transition drive, mudstone biogas represents a vital unconventional natural gas resource. Yet unclear micro-scale gas-displacing-water mechanisms hinder its productive exploitation. This work combines multi-pressure NMR displacement tests and mono-multifractal coupling analysis to quantify dynamic pore evolution, overcoming limits of [...] Read more.
Against the global low-carbon transition drive, mudstone biogas represents a vital unconventional natural gas resource. Yet unclear micro-scale gas-displacing-water mechanisms hinder its productive exploitation. This work combines multi-pressure NMR displacement tests and mono-multifractal coupling analysis to quantify dynamic pore evolution, overcoming limits of conventional static pore characterization. Mudstone core samples from the Sanhu area of Qaidam Basin are analyzed to decode biogas charging controls and build a multi-factor coupling model. Results reveal that micro–mesopores dominate reservoirs; brittle minerals form rigid pore frameworks, while water-wet clays impede gas flow. Gas–water displacement proceeds in staged preferential flow, with two threshold pressures (8 MPa, 15 MPa) slowing efficiency gains. Fractal indices reliably reflect gas–water partitioning. Pore geometry and mineral assemblages jointly govern biogas accumulation; intervals with well-connected pores, weak water wettability and low clay content favor gas charging. The findings support the exploration of analogous continental mudstone gas reservoirs. Full article
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29 pages, 43065 KB  
Article
Numerical Simulation Research on Landslide Instability Mechanism Under Periodic Precipitation Conditions
by Ziang Liu, Lianxia Ma, Qihang Liu, Liang Song and Xiaomin Dai
Water 2026, 18(13), 1643; https://doi.org/10.3390/w18131643 - 6 Jul 2026
Viewed by 175
Abstract
Slope stability has consistently been a critical concern in mountainous road sections, with precipitation being the most significant factor precipitating slope instability. This study aims to elucidate the mechanism of slope instability under precipitation conditions and the extent of the impact of internal [...] Read more.
Slope stability has consistently been a critical concern in mountainous road sections, with precipitation being the most significant factor precipitating slope instability. This study aims to elucidate the mechanism of slope instability under precipitation conditions and the extent of the impact of internal disaster-causing factors. To achieve this objective, a numerical simulation analysis method combining GeoStudio2018R2 and FLAC3D7.0 software was employed to conduct a comprehensive analysis of an unstable slope in Xinjiang. Regarding research methodology, cyclic precipitation and seasonal snowmelt were considered as external influencing factors. Initially, a two-dimensional model was constructed using GeoStudio software to analyze the spatial and temporal variations in pore water pressure and moisture content within the slope, elucidating their dynamic characteristics at different temporal and spatial scales. Subsequently, a three-dimensional numerical model was established using FLAC3D software to conduct a detailed analysis of the stress–strain state of the slope under various conditions, thereby obtaining disaster parameters such as displacement and sliding velocity in different directions. Through further comparison and verification of the overall stability analysis results of the slope obtained from both software packages, it was observed that they exhibited a consistent trend. The research findings indicate that under conditions of high-intensity short-term precipitation, the safety factor of the slope decreases to the lowest level, potentially leading to shallow landslides with smaller displacement but faster sliding velocity. Conversely, seasonal snowmelt and long-term localized precipitation have a more profound impact on the internal structure of the slope, with the sliding zone potentially penetrating into the deep bedrock. Although the occurrence frequency is low, the impact range is extensive. By combining two-dimensional and three-dimensional analyses, a comprehensive assessment of the different disaster-causing factors of the slope was conducted, enhancing the accuracy of the analysis results. The research findings provide a scientific basis and reference value for the formulation of subsequent slope protection and monitoring plans. Full article
(This article belongs to the Special Issue Landslide on Hydrological Response)
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20 pages, 5646 KB  
Review
CO2 Trapping Mechanisms in Geological Carbon Sequestration: A Critical Review of Multiscale Processes and Storage Security
by Anurag Banerjee and Tathagata Acharya
Processes 2026, 14(13), 2203; https://doi.org/10.3390/pr14132203 - 6 Jul 2026
Viewed by 211
Abstract
Geological carbon sequestration is a critical strategy for reducing atmospheric CO2 emissions and mitigating climate change; however, its long-term effectiveness depends on a robust understanding of subsurface trapping mechanisms. This review synthesizes recent advances in evidence-based CO2 trapping by systematically examining [...] Read more.
Geological carbon sequestration is a critical strategy for reducing atmospheric CO2 emissions and mitigating climate change; however, its long-term effectiveness depends on a robust understanding of subsurface trapping mechanisms. This review synthesizes recent advances in evidence-based CO2 trapping by systematically examining four primary mechanisms—structural/stratigraphic, residual (capillary), solubility, and mineral trapping—using insights from experimental studies, field observations, and numerical modeling. The analysis highlights that structural trapping provides immediate containment controlled by caprock integrity and reservoir geometry, while residual trapping immobilizes CO2 at the pore scale through capillary forces and multiphase flow dynamics. Over longer timescales, solubility trapping enhances storage security via dissolution and density-driven convection, whereas mineral trapping offers the most permanent form of sequestration through geochemical conversion to stable carbonates, albeit with slower kinetics. Recent findings emphasize the strong coupling among trapping mechanisms, the influence of wettability, heterogeneity, and flow regimes, and the growing role of engineered injection strategies and enhanced mineralization approaches. Overall, the review demonstrates that secure and scalable CO2 storage requires an integrated, multiscale understanding of these interacting processes, supported by improved monitoring, modeling, and experimental validation to reduce uncertainty and optimize storage performance. Full article
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20 pages, 12820 KB  
Article
Transitional Oil Sands Tailings’ Filterability and Consolidation Behavior
by Peter Kaheshi, Gordon Ward Wilson and Heather Kaminsky
Geosciences 2026, 16(7), 271; https://doi.org/10.3390/geosciences16070271 - 5 Jul 2026
Viewed by 176
Abstract
Over the past few decades, the oil sands mining industry has taken steps to find ways to speed up the filterability and consolidation of their tailings deposits, which would otherwise take decades to settle and reach the required strength. The initiative has led [...] Read more.
Over the past few decades, the oil sands mining industry has taken steps to find ways to speed up the filterability and consolidation of their tailings deposits, which would otherwise take decades to settle and reach the required strength. The initiative has led to deposits that are combinations of sands and fines (<44 µm) in proportions whose geotechnical behaviors have not yet been determined by the existing body of knowledge. The purpose of this study is to examine how the quantity of fines and their index characteristics affect the filterability and consolidation of particular deposits. Findings from this research show that these deposits exhibit characteristics of low-plasticity soils. The hydraulic conductivity of these materials is strongly influenced by the fines content. The deposits behave more like sand below a threshold point of about 35 percent fines content, and they exhibit low hydraulic conductivity above this point. Furthermore, the hydraulic conductivity of these deposits is influenced by other factors, including clay properties, sodium adsorption ratio, and effective stress. The results of finite-strain consolidation modeling show that mixtures of sand and fluid tailings with fines within the threshold range exhibit significantly improved consolidation performance. In particular, compared to the performance of traditional fluid tailings deposits, settlement time and depth are reduced by more than 50%, and the time needed for complete pore pressure dissipation is reduced by more than 80%. Findings from this study provide an insight to the industry on the optimal fines–sand blending proportions for best performing deposits. Since these findings are solely laboratory-based, it should be noted that the determined threshold fines content and consolidation behavior may alter in field-scale deposition. Full article
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31 pages, 10557 KB  
Review
Latest Advances in Metal Foam-Enhanced Heat Transfer for Phase Change Energy Storage: A Quantitative Review of Performance Boundaries and Optimization Strategies
by Wei Chen, Bo Ma, Xujun Gao, Wenbin Han, Rukun Hu, Xingdan Wang, Anfan Shang, Xuan Liu, Xinyu Huang and Xiaohu Yang
Processes 2026, 14(13), 2161; https://doi.org/10.3390/pr14132161 - 2 Jul 2026
Viewed by 281
Abstract
In the context of the global transition towards energy systems with a high share of renewable energy, efficient and large-scale energy storage technologies are essential for improving the stability and flexibility of power grids. Phase change thermal energy storage has attracted considerable attention [...] Read more.
In the context of the global transition towards energy systems with a high share of renewable energy, efficient and large-scale energy storage technologies are essential for improving the stability and flexibility of power grids. Phase change thermal energy storage has attracted considerable attention because of its high energy density and nearly isothermal heat release capability. However, its practical application remains constrained by the intrinsically low thermal conductivity of phase change materials (PCMs). For instance, 0.2–0.3 W/m·K for organic paraffins, 0.15–0.35 W/m·K for fatty acids, and 0.5–1.0 W/m·K for salt hydrates lead to slow charging and discharging rates. Incorporating metal foams into PCMs to form composite PCMs has emerged as a promising strategy, as metal foams can significantly improve effective thermal conductivity and enhance internal heat transfer. This paper systematically reviews recent advances in metal foam-enhanced phase change thermal energy storage, with particular emphasis on numerical modeling and structural optimization. First, the heat transfer enhancement mechanisms of metal foam/PCM composites are analyzed, together with the key performance indicators used to evaluate thermal storage performance. Second, material-level developments are reviewed, including pore structure parameters, interfacial engineering, and advanced fabrication methods. The review then discusses current structural design strategies, such as graded pore structures and partially filled configurations, as well as hybrid enhancement methods that combine passive and active heat transfer enhancement. Particular attention is paid to numerical modeling approaches at both pore and system scales, which are used to predict and optimize thermal behavior. In addition, optimization methods, including topology optimization, machine learning, and genetic algorithms, are examined for their potential to inversely design foam structures with tailored thermal performance. Finally, the key challenges in this field are summarized, and future research directions are proposed. These include multi-scale intelligent design, integration with complementary thermal management technologies, and the development of scalable solutions for engineering applications. This review aims to provide a systematic reference for achieving performance breakthroughs and promoting the practical deployment of phase change thermal energy storage technologies. Full article
(This article belongs to the Section Materials Processes)
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40 pages, 19956 KB  
Review
Thermophysical Consolidation and Dimensional Fidelity in Precious Metal Additive Manufacturing: A Review for the Jewelry Sector
by Niloofar Naeimabadi, Luca Cattani, Marco Bernagozzi and Fabio Bozzoli
Thermo 2026, 6(3), 53; https://doi.org/10.3390/thermo6030053 - 1 Jul 2026
Viewed by 288
Abstract
Additive Manufacturing (AM) for jewelry applications is increasingly adopting Binder Jetting (BJ) to overcome the fusion-related limitations associated with precious metals, including unstable melt pools, excessive reflectivity, and high thermal conductivity. In this context, the present review establishes a thermophysical and manufacturability-oriented framework [...] Read more.
Additive Manufacturing (AM) for jewelry applications is increasingly adopting Binder Jetting (BJ) to overcome the fusion-related limitations associated with precious metals, including unstable melt pools, excessive reflectivity, and high thermal conductivity. In this context, the present review establishes a thermophysical and manufacturability-oriented framework that redefines thermal management beyond localized melt-pool stabilization toward the furnace-scale control of densification kinetics, shrinkage evolution, atmosphere-assisted sintering, and viscoplastic deformation. Particular emphasis is placed on gold-, silver-, and platinum-based jewelry alloys, with a specific focus on the thermal, mechanical, and chemical phenomena governing Binder Jetting sintering. During consolidation, low-density green bodies (~40–65% relative density) must transform into highly dense components through extensive volumetric shrinkage and gravity-driven deformation, creating major challenges in dimensional fidelity and surface quality. The review further examines predictive viscoplastic constitutive models (SOVS/ROH), reversed-deformation compensation strategies, and atmosphere-engineering approaches for oxide reduction, pore-pressure regulation, and residual-porosity control. By linking thermophysical consolidation, dimensional fidelity, polishability, and jewelry-grade manufacturability within a hierarchical framework, this review provides a structured basis for the development of high-precision and low-waste precious-metal additive manufacturing. Full article
(This article belongs to the Special Issue Thermal Science and Metallurgy)
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23 pages, 2026 KB  
Article
Real-Gas Corrected Knudsen-Based Flow Regime Mapping of Methane in Nanoporous Media: Sensitivity, Validity Limits, and Engineering Implications
by Sherif Fakher and Abdelaziz Khlaifat
Gases 2026, 6(3), 31; https://doi.org/10.3390/gases6030031 - 1 Jul 2026
Viewed by 194
Abstract
Understanding how methane moves through nanoporous media is key to predicting performance in unconventional gas reservoirs. At these extremely small scales, pore sizes approach the molecular level, where classical flow assumptions begin to fail and multiple transport mechanisms can occur at the same [...] Read more.
Understanding how methane moves through nanoporous media is key to predicting performance in unconventional gas reservoirs. At these extremely small scales, pore sizes approach the molecular level, where classical flow assumptions begin to fail and multiple transport mechanisms can occur at the same time. In this work, a unified framework is developed to characterize methane flow regimes using a real-gas corrected Knudsen number. By combining pore size, pressure, and temperature within a single formulation, the approach captures how flow behavior evolves across realistic reservoir conditions. A unified flow regime map is used to characterize the gradual shift in transport behavior—from adsorption-dominated and diffusion-like mechanisms in ultra-tight pores, to transition and slip flow, and eventually to continuum (Darcy) flow in larger pores. The results show that pore size plays the dominant role in determining flow behavior, while pressure introduces a dynamic effect, particularly during reservoir depletion. Sensitivity analysis also highlights that flow regime classification depends not only on thermodynamic conditions but also on molecular-scale parameters such as methane diameter. Comparison with established models and experimental observations shows that the framework captures the expected increase in rarefaction effects at low pressures and small pore sizes. Overall, the results emphasize that gas transport in nanoporous systems is not governed by a single mechanism but evolves over time and across scales. The proposed framework offers a simple, physically grounded tool for identifying dominant transport mechanisms and supporting model selection, while also providing a foundation for more advanced descriptions of gas flow in unconventional reservoirs. Full article
(This article belongs to the Topic Petroleum and Gas Engineering, 2nd edition)
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44 pages, 4961 KB  
Review
Continuum Porous-Medium CFD Modelling of Rock-Bed Thermal Energy Storage Systems: A Review of Pressure-Drop and Interphase Heat-Transfer Correlations
by Seyed Soheil Mousavi Ajarostaghi, Nicolson Fonrose, Sébastien Poncet and Leyla Amiri
Energies 2026, 19(13), 3113; https://doi.org/10.3390/en19133113 - 30 Jun 2026
Viewed by 193
Abstract
Rock-bed thermal energy storage (RTES) systems are attracting growing interest as low-cost, robust, and scalable sensible heat storage solutions for applications ranging from low-temperature building and greenhouse heating to medium- and high-temperature solar or waste-heat recovery systems. However, their thermo-hydraulic performance is strongly [...] Read more.
Rock-bed thermal energy storage (RTES) systems are attracting growing interest as low-cost, robust, and scalable sensible heat storage solutions for applications ranging from low-temperature building and greenhouse heating to medium- and high-temperature solar or waste-heat recovery systems. However, their thermo-hydraulic performance is strongly influenced by the complex interactions among heat-transfer-fluid flow, irregular rock morphology, porosity, pressure drop, interphase heat transfer, and transient thermal-front development. This review provides a focused evaluation of computational fluid dynamics (CFD) modelling strategies for packed beds of rocks, with particular attention to continuum porous-medium approaches and the closure correlations required for reliable simulation. First, the distinction between pore-scale and volume-averaged continuum modelling is discussed in terms of the trade-off between physical resolution and computational feasibility. The main pressure-drop and friction-factor correlations are then reviewed and compared, including classical packed-bed models and rock-bed-specific formulations. It is shown that hydraulic-resistance predictions are highly sensitive to particle shape, surface roughness, porosity, the bed-to-particle diameter ratio, and packing arrangement. Particle-fluid heat-transfer correlations are also examined and, when possible, converted into a consistent particle Nusselt-number form to enable direct comparison. Particular attention is given to generalized correlations, dispersion-corrected models, and air–rock-bed correlations applicable to thermal storage systems. Finally, a methodological framework for modelling RTES systems using local thermal equilibrium (LTE) and local thermal non-equilibrium (LTNE) formulations is proposed. Dimensionless criteria, including the interphase thermal coupling number and particle Biot number, are introduced to support the selection between LTE and LTNE formulations. The selection of pressure-drop/friction-factor and solid–fluid heat-transfer/particle Nusselt-number correlations should be based on the similarity between the original experimental conditions and the target RTES system, and system-specific validation is recommended whenever possible. Full article
(This article belongs to the Special Issue Advances in Thermal Energy Storage Systems: Methods and Applications)
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21 pages, 7927 KB  
Article
Pore-Scale Flow Mechanisms of CO2 Fracturing Fluid in a Pore-Fracture Microfluidic Model
by Ping Xie, Haizhu Wang, Bin Wang, Yunpeng Zhang and Mohand Ali A. Balal
Processes 2026, 14(13), 2103; https://doi.org/10.3390/pr14132103 - 28 Jun 2026
Viewed by 224
Abstract
CO2 is a promising fracturing fluid for tight reservoirs because it avoids water-phase damage and offers low viscosity, high diffusivity, and strong penetration into fine pore throats, but its pore-scale flow in pore-fracture systems remains difficult to evaluate because thermodynamic state, fractures, [...] Read more.
CO2 is a promising fracturing fluid for tight reservoirs because it avoids water-phase damage and offers low viscosity, high diffusivity, and strong penetration into fine pore throats, but its pore-scale flow in pore-fracture systems remains difficult to evaluate because thermodynamic state, fractures, and mass transfer act together. In this study, a radial microfluidic model containing randomly distributed microfractures was used with a temperature- and pressure-controlled visualization platform to compare CO2–oil and water–oil flow. Image segmentation and areal-fraction statistics quantified swept area and final fluid distribution. Gaseous CO2 at ambient pressure and compressed-liquid CO2 below the critical temperature differ substantially in density and viscosity, but both retain a discernible CO2–oil interface and exhibit pressure-driven preferential-path flow. The gaseous case shows strong fracture guidance and fingering, whereas the compressed-liquid velocity series demonstrates increasingly rapid advancement and stronger channeling at excessive velocity. Under near-critical supercritical conditions (35 °C, 8 MPa), progressive oil-color fading ahead of the displacement front shows that dissolution participates while flow expands through matrix pores. Under higher-temperature supercritical conditions, disappearance of the sharp interface and continuous color attenuation identify dissolution-assisted diffusion as a significant transport mechanism and produce diffuse redistribution across the pore space. Water undergoes immiscible channelized displacement and remains capillary-trapped in small throats and low-permeability regions. The results identify three flow regimes: distinct-interface pressure-driven displacement, near-critical convection–dissolution coupling, and higher-temperature supercritical dissolution-assisted diffuse redistribution. Full article
(This article belongs to the Section Petroleum and Low-Carbon Energy Process Engineering)
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27 pages, 33583 KB  
Article
Experimental and Molecular Dynamics-Based Study on the Influence Mechanism of a Lead–Bismuth Eutectic Corrosive Environment on the Thermal Conductivity of T91 Steel
by Xinxin Gao, Xian Zeng and Zhaoxuan Sun
Metals 2026, 16(7), 705; https://doi.org/10.3390/met16070705 - 26 Jun 2026
Viewed by 222
Abstract
Under lead–bismuth eutectic (LBE) corrosion conditions, the multilayer oxide layer that forms on T91 steel adversely affects on its thermal conductivity. This study systematically conducted corrosion experiments under varying temperatures, durations, oxygen concentrations, and bismuth (Bi) content. By combining microstructural characterization with laser [...] Read more.
Under lead–bismuth eutectic (LBE) corrosion conditions, the multilayer oxide layer that forms on T91 steel adversely affects on its thermal conductivity. This study systematically conducted corrosion experiments under varying temperatures, durations, oxygen concentrations, and bismuth (Bi) content. By combining microstructural characterization with laser flash measurements of thermal conductivity, the evolution of T91 thermal conductivity under different corrosion conditions was revealed. Based on these findings, molecular dynamics simulations based on the neuroevolution potential (NEP) framework were employed to construct a T91/Fe-Cr spinel/Fe3O4 multilayer heterojunction model, enabling precise determination of the intrinsic thermal resistances at the two interfaces. By coupling the interfacial thermal resistances with experimental data, the macroscopic effective thermal conductivities of Fe-Cr spinel and Fe3O4 in real corrosion environments were calculated to be 1.68 W/(m·K) and 2.19 W/(m·K), respectively. These values are significantly lower than those reported for pure phases, thus revealing the inhibitory effect of defects and pores in actual oxide layers on heat transport. This research establishes a multiscale analytical method spanning from atomic-scale interfacial thermal resistance to macroscopic heat transfer properties of oxide layers, thereby providing a theoretical basis and data support for the thermal performance evaluation and service life prediction of LFR structural materials. Full article
(This article belongs to the Section Corrosion and Protection)
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17 pages, 1961 KB  
Article
Fractal Characteristics of Coal Structure and Fluid Transport During Compression Failure Process
by Teng Teng and Yuming Wang
Fractal Fract. 2026, 10(6), 421; https://doi.org/10.3390/fractalfract10060421 - 21 Jun 2026
Viewed by 227
Abstract
The fractal characteristics of coal pore–fracture networks and their evolution under compression are essential for predicting rock mass failure and fluid transport. This study combines micro-CT scanning with fractal theory and seepage mechanics to investigate the structural evolution of coal under uniaxial compression [...] Read more.
The fractal characteristics of coal pore–fracture networks and their evolution under compression are essential for predicting rock mass failure and fluid transport. This study combines micro-CT scanning with fractal theory and seepage mechanics to investigate the structural evolution of coal under uniaxial compression and its impact on fluid transport. CT scans were performed at four characteristic stages (initial, elastic, plastic, and failure) to reconstruct three-dimensional fracture networks. Quantitative analysis reveals that fracture porosity increases sequentially from 0.44% to 5.01%, with the failure stage reaching 11.4 times the initial value. Fracture length and aperture distributions follow power-law scaling, and their fractal dimensions exhibit distinct evolution patterns: length dimension increases from 2.43 to a peak of 2.56 in the plastic stage and then drops to 2.47 at failure, while aperture dimension decreases from 2.29 to a trough of 2.12 before rebounding to 2.26. These patterns reflect a dynamic adjustment of network complexity, transitioning from primary fractures to micro-fracture dominance and finally to main fracture coalescence. Based on the Knudsen number, three diffusion regimes of Fick, transition and Knudsen are identified. A fractal permeability model is developed by idealizing the pore space as tortuous capillaries, showing that permeability scales with the fourth power of the maximum pore diameter and is positively influenced by the fractal dimension and the number of large pores. Furthermore, a coupled seepage–stress model is derived, incorporating pressure transmission, shear transmission, and crack opening coefficients. The damage variable is expressed as a function of stress level and fractal dimension. These findings provide theoretical support for predicting gas transport and failure behavior in coal under coupled hydro-mechanical conditions. Full article
(This article belongs to the Special Issue Fractal and Fractional Modelling in Deep Mining and Geomechanics)
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31 pages, 4350 KB  
Article
Study on Permeability Enhancement and Heat Transfer of Cold-Water Reinjection in Deep Tight Sandstone Thermal Reservoirs
by Xiaofeng Sun, Haonan Yang, Rui Xu, Huilin Chang and Zhaokai Hou
Sustainability 2026, 18(12), 6331; https://doi.org/10.3390/su18126331 - 20 Jun 2026
Viewed by 455
Abstract
Exploitation of deep (>4000 m) tight geothermal reservoirs is constrained by low native permeability and premature thermal breakthrough, limiting sustainable heat recovery. Here, we investigate THM (thermo–hydro–mechanical) controls on fluid flow and heat transport during cold-water reinjection in deep tight sandstone reservoirs through [...] Read more.
Exploitation of deep (>4000 m) tight geothermal reservoirs is constrained by low native permeability and premature thermal breakthrough, limiting sustainable heat recovery. Here, we investigate THM (thermo–hydro–mechanical) controls on fluid flow and heat transport during cold-water reinjection in deep tight sandstone reservoirs through an integrated framework linking two-dimensional mechanistic analysis with three-dimensional field-scale modeling. A two-dimensional thermo-poroelastic model reveals that strong thermal contrasts induced by cold-fluid injection cause contraction of the rock framework and transient pore-space dilation under confinement, producing short-term permeability enhancement. This process alters local flow capacity and redirects early cold-front migration, with persistent impacts on subsequent heat transport. Field-scale simulations further quantify the coupled effects of well spacing and reinjection temperature on thermal breakthrough, defined as a 1 °C decline in production-well temperature. Increased well spacing delays cold-front arrival and significantly retards breakthrough, whereas lower reinjection temperature enhances early heat extraction but accelerates convective transport, leading to earlier breakthrough. The combination of thermally enhanced permeability and intensified convection promotes preferential flow channels, increasing breakthrough risk. Balancing thermal-breakthrough delay against the heat-extraction driving force, the simulations delineate a favorable engineering window for the investigated conditions and clarify how cooling-sensitive permeability evolution affects preferential flow and reservoir-scale thermal response. Full article
(This article belongs to the Special Issue Sustainable Energy: Addressing Issues Related to Renewable Energy)
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26 pages, 4742 KB  
Article
Intelligent Identification and Quantitative Characterization of Remaining Oil in Low-Permeability Reservoirs Based on a Pore-Prior and Progressive-Sampling Transformer Architecture
by Dongqi Wang, Yashe Guo, Jiaxing Wen and Jiajin Xu
Eng 2026, 7(6), 300; https://doi.org/10.3390/eng7060300 - 19 Jun 2026
Viewed by 214
Abstract
This study develops a Pore-Prior and Progressive-Sampling Transformer architecture, termed PPFormer, for the laboratory-scale analysis of microscopic remaining-oil images acquired from photolithographic glass-micromodel displacement experiments. The architecture integrates pore-prior embedding, progressive sampling of morphology-sensitive tokens, multi-scale self-attention encoding, relative position encoding, and boundary-enhanced [...] Read more.
This study develops a Pore-Prior and Progressive-Sampling Transformer architecture, termed PPFormer, for the laboratory-scale analysis of microscopic remaining-oil images acquired from photolithographic glass-micromodel displacement experiments. The architecture integrates pore-prior embedding, progressive sampling of morphology-sensitive tokens, multi-scale self-attention encoding, relative position encoding, and boundary-enhanced decoding. PPFormer identifies five microscopic remaining-oil morphologies: cluster-like remaining oil, columnar remaining oil, droplet-like remaining oil, film-like remaining oil, and blind-end remaining oil. Under the investigated experimental conditions, the model achieved an overall pixel accuracy of 93.6%. The resulting morphology identification maps were used for pore-space-normalized area characterization and displacement-efficiency analysis under three permeability conditions and four displacement strategies. Relative to conventional waterflooding, the area-reduction ranges of cluster-like remaining oil, columnar remaining oil, and droplet-like remaining oil were from 2.29% to 12.66%, from −0.46% to 21.86%, and from 0.09% to 10.75%, respectively. Film-like remaining oil and blind-end remaining oil exhibited smaller changes, ranging from −0.50% to 8.19% and from −0.59% to 5.39%, respectively. Uncertainty was evaluated across independent replicate runs and by comparing predicted masks with consensus ground-truth masks. Full article
(This article belongs to the Section Chemical, Civil and Environmental Engineering)
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20 pages, 11614 KB  
Article
Source Attribution of Produced Methane During Shale Gas Recovery Under Stepwise Depressurization: A Molecular Dynamics Study
by Jiayan Chen, Jing Sun, Dehua Liu, Xu Yan, Jiawei Hu and Maolin He
Energies 2026, 19(12), 2885; https://doi.org/10.3390/en19122885 - 18 Jun 2026
Viewed by 241
Abstract
During depressurization-driven shale gas production, methane migration and state transformation in nanopores affect the source composition of produced gas. However, the relative contributions of initially free and initially adsorbed methane remain difficult to quantify at the molecular scale. In this study, we develop [...] Read more.
During depressurization-driven shale gas production, methane migration and state transformation in nanopores affect the source composition of produced gas. However, the relative contributions of initially free and initially adsorbed methane remain difficult to quantify at the molecular scale. In this study, we develop a Frame-0-based source-tracing framework for methane recovery in an idealized graphene square nanopore using molecular dynamics simulations under a stepwise depressurization protocol. Radical Voronoi local density and a two-component Gaussian mixture model are used to assign one-time initial labels to methane molecules at Frame 0. PID–preserving cross-frame tracking is then used to quantify the stage-wise and cumulative source contributions from the two initial populations. For the representative case of R = 10 nm and T = 353.15 K, the stage-wise fraction from the initially free population decreases from 79.5% to 62.2% as pressure decreases, while that from the initially adsorbed population increases from 20.5% to 37.8%. Increasing pore width mainly enhances total recovery through the contribution of initially free methane. Increasing temperature improves the contributions from both populations, with a stronger effect on initially free methane. The present results provide a molecular-scale quantitative characterization of methane initial-source attribution under the current stepwise depressurization protocol and establish a source-tracing framework that can be further extended to more realistic pore models. Full article
(This article belongs to the Topic Petroleum and Gas Engineering, 2nd edition)
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