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An improved semi-resolved CFD-DEM method for particle systems with wide mesh/particle size ratios 一种改进的宽网格/粒径比颗粒系统的半分辨CFD-DEM方法
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-04 DOI: 10.1016/j.compgeo.2026.107952
Xinyi Wu, Jialin Xu, Chengshun Xu, Zhuolin Su
Solid-liquid two-phase flows with particles of a wide size range are widespread in geotechnical engineering. The CFD-DEM method is valid for solid–fluid coupling analysis, but traditional methods are limited in size applicability. This study proposes an improved semi-resolved CFD-DEM method capable of simulating systems with wide mesh/particle size ratios (L/d). In the method, a dynamic coupling strategy is adopted for different L/d: when the mesh size is much larger than the particle diameter, a gradient-based interpolation method is used to reconstruct the fluid velocity around the particles; when the mesh size is comparable to or smaller than the particle diameter, inter-phase forces are corrected through an extended domain. The proposed method is validated through the simulation of two typical cases, including single particle settling and collapse of granular piles, and is applied to upward seepage in sandy soils. Simulation results show that the method not only accurately reflects macroscopic phenomena, but also effectively captures the characteristics of the local flow field around particles in wide L/d systems, thereby revealing the mesoscopic mechanisms of particle–fluid interactions. Furthermore, the simulation of upward seepage indicated that the non-uniformity of the flow field drives the preferential migration of fine particles, which subsequently induces piping in gap-graded soils.
具有大尺寸颗粒的固液两相流在岩土工程中广泛存在。CFD-DEM方法是固流耦合分析的有效方法,但传统方法在尺寸适用性方面存在局限性。本研究提出了一种改进的半分辨CFD-DEM方法,能够模拟具有宽网格/粒度比(L/d)的系统。该方法针对不同的L/d采用动态耦合策略:当网格尺寸远大于颗粒直径时,采用基于梯度的插值方法重构颗粒周围的流体速度;当网格尺寸与颗粒直径相当或小于颗粒直径时,通过扩展域对相间力进行校正。通过单颗粒沉降和颗粒桩崩塌两种典型情况的模拟,验证了该方法的有效性,并将其应用于砂质土的向上渗流。仿真结果表明,该方法不仅能准确地反映宏观现象,而且能有效地捕捉大L/d系统中颗粒周围局部流场的特征,从而揭示颗粒-流体相互作用的介观机理。此外,向上渗流模拟表明,流场的非均匀性驱动细颗粒优先迁移,从而在裂隙梯度土中形成管状。
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引用次数: 0
Crack initiation and propagation mechanism of borehole surrounding rock subjected to cyclic thermal loading: insights from theoretical solution and DEM simulation 循环热载荷作用下钻孔围岩裂纹萌生与扩展机制:理论解与DEM模拟
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-03 DOI: 10.1016/j.compgeo.2026.107943
Qiuxin Gu , Qiang Zhang , Kai Zhang , Hui Liu , Yihan Du , Bo Huang , Wei Han
The hydraulic fracturing and low-temperature thermal stimulation are commonly adopted for the construction of geothermal reservoirs in hot dry rock (HDR). However, it is hardly involved in the existing research on the variation law of the temperature and stress fields in the surrounding rock and the crack initiation propagation mechanism when the cooling fluid flows through the borehole. In this study, the unsteady temperature and stress field of the borehole surrounding rock during the cooling process was derived and solved firstly using the heat transfer and elasticity mechanics theories. Then, the crack initiation and propagation criteria for the borehole surrounding rock are proposed according to the fracture mechanics theory. Finally, the initiation and propagation laws of thermal cracks in the borehole surrounding rock under cyclic thermal shock are investigated through the discrete element method. The results reveal that when the cooling fluid is injected into the borehole, the temperature of the rock around the borehole drops the fastest. As the distance from the borehole increases, the temperature gradually rises and gets closer to the initial rock temperature. The temperature variation of the surrounding rock is closely related to the duration of thermal shock. During the initial stage of liquid nitrogen injection, the temperature drop is the most obvious. With the increase in thermal shock time, the tangential stress transitions from compressive stress to tensile stress. The tensile stress is the largest at the edge of the borehole, which is the location most prone to cracking. The mesoscopic cracking characteristics of the borehole surrounding rock are influenced by multiple factors, including buried depth, initial temperature, cooling method, thermal cycles, and the mesoscopic composition features of HDR. These research findings provide significant theoretical reference for EGS reservoir construction and high-efficiency stable operation
热干岩地热储层的开发通常采用水力压裂和低温增产两种方法。然而,对于冷却流体流过井眼时围岩温度场和应力场的变化规律以及裂缝起裂扩展机制的研究,现有的研究很少涉及。本文首先利用传热力学和弹性力学理论,推导并求解了冷却过程中钻孔围岩的非定常温度场和应力场。然后,根据断裂力学理论,提出了钻孔围岩裂纹起裂和扩展准则。最后,通过离散元法研究了循环热冲击作用下钻孔围岩热裂纹的起裂和扩展规律。结果表明,注入冷却液后,井眼周围岩石温度下降最快。随着离钻孔距离的增加,温度逐渐升高,逐渐接近岩石初始温度。围岩的温度变化与热冲击的持续时间密切相关。在注入液氮初期,温度下降最为明显。随着热冲击时间的增加,切向应力由压应力转变为拉应力。钻孔边缘处的拉应力最大,是最容易开裂的位置。井眼围岩的细观开裂特征受埋深、初始温度、冷却方式、热循环、HDR细观组成特征等多种因素的影响。这些研究成果为EGS水库建设和高效稳定运行提供了重要的理论参考
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引用次数: 0
Effects of the joint aperture and persistence on the shear behavior of coplanar non-persistent jointed rock masses and an improved Jennings shear strength criterion 节理孔径和持久性对共面非持久性节理岩体剪切特性的影响及改进的Jennings抗剪强度准则
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-03 DOI: 10.1016/j.compgeo.2026.107949
Tingfang Liu , Gang Wang , Changsheng Wang , Yujing Jiang , Xuezhen Wu , Wen Zheng , Feng Jiang , Weimin Yang , Jinglong Li
The shear behavior and failure mechanisms of non-persistent joints are key to the stability of jointed rock masses, whose shear responses are jointly governed by geometric parameters such as joint aperture and joint persistence. In this study, direct shear tests were performed on specimens containing coplanar non-persistent joints, and the shear-failure process was simulated using the finite element method–cohesive zone model (FEM–CZM) method. The combined effects of joint aperture and joint persistence on shear behavior were investigated from both macroscopic and mesoscopic perspectives, and an improved Jennings shear strength criterion incorporating the weakening effect of joint aperture was derived. The tests revealed two typical post-peak failure patterns: a “sudden drop followed by arcuate recovery” and a “stepwise decline”. Increases in both the joint aperture and joint persistence reduce the peak shear strength, with joint persistence exerting a more pronounced influence. Larger joint apertures increase the degrees of rock bridge fracture surface undulation and specimen surface spalling, whereas higher joint persistence flattens the fracture surface and mitigates surface spalling. Simulations indicate that stress initially concentrates at the rock bridge ends and extends towards the middle during shearing. The number of cracks increases sharply at the peak shear stress, with tensile cracks consistently dominating. Larger joint apertures intensify the stress concentration at the rock bridge ends, leading to earlier crack initiation, a more vigorous crack propagation trend, and more dispersed crack paths, whereas higher joint persistence narrows the stress concentration zone and accelerates crack coalescence across the rock bridge. Finally, based on the test and simulation results, an improved Jennings shear strength criterion is proposed by introducing a cohesion reduction coefficient η(d) that decays exponentially with joint aperture. The validation results demonstrate that the predicted peak shear strengths agree well with the measured values and external data.
节理的剪切特性和破坏机制是节理岩体稳定性的关键,节理岩体的剪切响应受节理孔径和节理持久性等几何参数的共同控制。本研究对含共面非持久节理试件进行了直剪试验,并采用有限元法-黏聚区模型(FEM-CZM)方法对剪切破坏过程进行了模拟。从宏观和细观两个角度研究节理孔径和节理持久性对剪切性能的综合影响,推导了考虑节理孔径弱化效应的改进Jennings抗剪强度准则。测试揭示了两种典型的峰值后失败模式:“突然下降,随后是弧形恢复”和“逐步下降”。节理孔径增大和节理持续度增大均降低峰值抗剪强度,节理持续度的影响更为显著。节理孔径越大,岩桥断裂面起伏程度越大,试件表面剥落程度越大,节理持续度越高,断裂面越平坦,剥落程度越轻。模拟结果表明,在剪切过程中,应力最初集中在岩石桥端,并向中间延伸。在剪切应力峰值处,裂纹数量急剧增加,拉伸裂纹始终占主导地位。节理开度越大,岩石桥端应力集中加剧,裂缝起裂时间越早,裂纹扩展趋势越剧烈,裂缝路径越分散;节理持续度越高,岩石桥端应力集中区域越窄,裂缝合并速度越快。最后,在试验和模拟结果的基础上,引入黏结折减系数η(d)随节理孔径呈指数衰减,提出了改进的Jennings抗剪强度准则。验证结果表明,预测的峰值抗剪强度与实测值和外部数据吻合较好。
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引用次数: 0
Ground failure mechanism for deep tunnel in sandy cobble strata based on the cohesive zone element 基于黏聚带单元的砂卵石地层深部隧道地表破坏机理
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-02 DOI: 10.1016/j.compgeo.2026.107955
Pei Zhang , Chengru Yang , Chao Ma , Jie Yang , Xiuli Du
Sandy cobble strata exhibit pronounced heterogeneity and a discrete nature. Clarifying the ground failure mechanism during shield tunneling in such strata has great theoretical significance and practical values. In this paper, based on the cohesive zone element, a numerical analysis method for simulating tunnel excavation under dynamic explicit algorithm is established. In the approach, the dissipation of ground energy, the implementation of tunnel excavation and the establishment of the initial stress field under the explicit algorithm are three crucial points. For the first point, the Rayleigh damping was used to achieve the input or output of ground energy. For the second point, a user-defined field variable subroutine was compiled to simulate tunnel excavation by reducing the element stiffness of excavation zone. For the third point, the “trial and error” method was used to determine the required analysis time for the geostatic step. Then, through simulating a physical model test on tunnel excavation in boulder-cobble mixed formations, the applicability of the proposed method was verified. The results show that the proposed method can effectively capture the progressive failure process and instability range of ground. Subsequently, the proposed method was extended to investigate the ground failure mechanism for deep circular tunnel in sandy cobble strata. The progressive failure process of ground was reproduced, and the stages of instability evolution was clarified. Combined with the distribution density of failed cohesive zone elements, the development of the collapse arching and the soil pressure arching were clarified. It was found that the outer boundary of collapse arching can be described by a parabolic curve, and the outer boundary of soil pressure arching can be described by an elliptical curve. Furthermore, a detailed parametric analysis was carried out to explore the influence of ground conditions on the failure zones.
砂卵石地层具有明显的非均质性和离散性。阐明此类地层盾构掘进过程中地表破坏机理具有重要的理论意义和实用价值。本文基于内聚区单元,建立了动态显式算法下隧道开挖模拟的数值分析方法。在该方法中,地表能量的耗散、隧道开挖的实施和显式算法下初始应力场的建立是三个关键点。对于第一点,采用瑞利阻尼来实现地面能量的输入或输出。针对第二点,编写了自定义场变量子程序,通过降低开挖区单元刚度来模拟隧道开挖。对于第三点,使用“试错法”来确定地静力步骤所需的分析时间。然后,通过对石卵石混合地层隧道开挖的物理模型模拟试验,验证了所提方法的适用性。结果表明,该方法能有效地捕捉地基的渐进破坏过程和失稳范围。随后,将该方法推广到砂卵石地层中深埋圆形隧道地面破坏机理的研究中。再现了地基的逐步破坏过程,明确了失稳演化的阶段。结合破坏黏结带单元的分布密度,阐明了崩塌拱和土压拱的发展过程。研究发现,崩塌拱的外边界可以用抛物线曲线来描述,土压拱的外边界可以用椭圆曲线来描述。此外,还进行了详细的参数分析,探讨了地面条件对破坏区域的影响。
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引用次数: 0
Fully coupled physics-informed neural networks for hydro-mechanical analysis of saturated poroelastic media 饱和孔隙弹性介质流体力学分析的全耦合物理信息神经网络
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-02 DOI: 10.1016/j.compgeo.2026.107954
S. Akhyani, B. Shahbodagh, N. Khalili
A physics-informed neural networks (PINNs) framework is presented for the fully coupled hydro-mechanical analysis of saturated poroelastic materials. Continuous-time PINNs are developed that simultaneously solve the coupled momentum balance and mass conservation equations with no training data or spatial and time discretisation. The framework is validated against three benchmark hydro-mechanical problems with known analytical solutions: one-dimensional Terzaghi’s consolidation (linear and nonlinear elasticity, with a stress-dependent bulk modulus), De Leeuw’s cylindrical problem, and Cryer’s spherical problem. A key contribution is the implementation of a simultaneous optimisation strategy to capture the strong coupling between the mechanical and hydraulic fields, enabling accurate modelling of the Mandel–Cryer effect. Parametric studies are presented to demonstrate the robustness of the proposed approach across varying Poisson’s ratios and fluid bulk moduli.
提出了一种基于物理信息的神经网络(PINNs)框架,用于饱和孔隙弹性材料的完全耦合水力分析。在不需要训练数据或空间和时间离散化的情况下,开发了可以同时求解耦合动量平衡和质量守恒方程的连续时间pin n。该框架针对三个具有已知解析解的基准水力学问题进行了验证:一维Terzaghi固结(线性和非线性弹性,具有应力相关的体积模量),De Leeuw的圆柱形问题和Cryer的球形问题。一个关键的贡献是实现了同步优化策略,以捕获机械和液压场之间的强耦合,从而实现了曼德尔-克莱效应的精确建模。参数研究提出,以证明鲁棒性提出的方法跨越不同的泊松比和流体体积模量。
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引用次数: 0
Fusion of vibration velocity and excavation displacements for inversion of mechanical parameters of heterogeneous hillslope 基于振动速度和开挖位移的非均质边坡力学参数反演
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-01 DOI: 10.1016/j.compgeo.2026.107948
Xu Gao , Tian-Chyi Jim Yeh , E-Chuan Yan , Guo-qing Chen
Traditional displacement back analysis of the spatial distribution of hillslope mechanics parameters relies on costly and inefficient collections of displacement data from boreholes. This paper proposes a method that fuses monitored displacements at the hillslope surface after excavation and the vibration velocities after applying impact-loading to invert (back analysis) the spatial distribution of elastic modulus. Via numerical experiments, we demonstrate the effectiveness of the method and draw the following conclusion: if only excavation displacement at the hillslope surface is available for the back analysis, the resolution of the estimated elastic modulus field is too smooth. The inversion resolution of the elastic modulus field using the fusion of vibration velocities and excavation displacements on the hillslope surface is comparable to that of inversion using borehole displacement data. Moreover, the results of fusion back analysis also lead to accurate slope stability predictions. Further, the cross-correlation analysis reveals that the vibration velocity data contain more spatial heterogeneity characteristics of elastic modulus at different locations of the hillslope than the excavation displacement data. As the monitoring density of vibration velocity increases, the inversion resolution of the elastic modulus field initially improves and then stabilizes, suggesting that deploying monitoring points with a horizontal spacing of half of the horizontal spatial correlation scale is sufficient.
传统的边坡力学参数空间分布的位移反分析依赖于昂贵而低效的钻孔位移数据收集。本文提出了一种将开挖后边坡表面监测位移与施加冲击荷载后的振动速度相融合反演弹性模量空间分布的方法。通过数值实验验证了该方法的有效性,并得出以下结论:如果仅对边坡表面开挖位移进行反分析,则估计的弹性模量场分辨率过于光滑。利用边坡表面振动速度与开挖位移融合反演弹性模量场的分辨率与利用钻孔位移数据反演的分辨率相当。此外,融合反分析的结果也可以准确地预测边坡的稳定性。此外,相互关联分析表明,振动速度数据比开挖位移数据更具有边坡不同位置弹性模量的空间异质性特征。随着振动速度监测密度的增大,弹性模量场的反演分辨率先提高后趋于稳定,表明水平间距为水平空间相关尺度的一半即可部署监测点。
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引用次数: 0
CFD-DEM simulation of sand liquefaction with non-spherical particles and inherent anisotropic effects 含非球形颗粒及固有各向异性的砂土液化CFD-DEM模拟
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-31 DOI: 10.1016/j.compgeo.2026.107929
Hongmei Gao , Wenhao Xu , Yinqiang Liu , Zhifu Shen , Xinlei Zhang , Zhihua Wang
The evaluation of sand liquefaction has long faced two major technical bottlenecks. Firstly, conventional centrifuge tests and finite element numerical simulations struggle to precisely control granular deposition anisotropy (e.g., deposition angle) and accurately characterize the interactions between fluid and non-spherical particles. Secondly, due to insufficient control of dynamic similarity, the Computational Fluid Dynamics-Discrete Element Method (CFD-DEM) coupled methods encounter significant computational efficiency challenges in the large-scale site simulations. To address these issues, this study innovatively proposes an improved CFD-DEM coupling framework, achieving methodological integration and parameter optimization in two key aspects: (1) incorporation of a non-spherical particle model to accurately characterize the directional effects of particle shape on fluid resistance; and (2) through refined adjustment of key parameter matching relationships including fluid viscosity, coupling forces, and particle Reynolds number, enabling equivalent simulation of high-gravity models while strictly maintaining physical consistency, thereby significantly improving computational efficiency. Within this framework, periodic boundary conditions were effectively employed to eliminate rigid boundary interference and achieve high-precision control of initial fabric anisotropy. Using this methodological system, the study successfully reproduced the liquefaction response differences in the sand layers with three deposition angles (0°, 45°, and 90°). It reveals that deposition angle exerts significant control on the soil liquefaction resistance: horizontally deposited (0°) sand layers demonstrate the optimal anti-liquefaction capacity due to their stable force chain network structure, while vertically deposited (90°) sand layers exhibit the highest liquefaction susceptibility owing to rapid particle suspension (suspension coefficient βt→1.0) and pronounced pore compression effects. The findings offer some micro-mechanistic insights for seismic liquefaction risk assessment in the sites with natural deposition anisotropy.
砂土液化评价长期以来面临两大技术瓶颈。首先,传统的离心机试验和有限元数值模拟难以精确控制颗粒沉积的各向异性(如沉积角度)和准确表征流体与非球形颗粒之间的相互作用。其次,计算流体动力学-离散元法(CFD-DEM)耦合方法由于对动力相似度控制不足,在大尺度现场模拟中计算效率面临较大挑战。为了解决这些问题,本研究创新性地提出了一种改进的CFD-DEM耦合框架,在两个关键方面实现了方法集成和参数优化:(1)结合非球形颗粒模型,准确表征颗粒形状对流体阻力的定向影响;(2)通过对流体粘度、耦合力、粒子雷诺数等关键参数匹配关系的精细调整,在严格保持物理一致性的前提下,实现了高重力模型的等效模拟,显著提高了计算效率。在此框架下,利用周期边界条件有效地消除了刚性边界干扰,实现了织物初始各向异性的高精度控制。利用该方法系统,该研究成功地再现了三种沉积角度(0°、45°和90°)下砂层液化响应的差异。结果表明,沉积角度对土壤液化阻力具有显著的控制作用,水平沉积(0°)砂层具有稳定的力链网络结构,具有最佳的抗液化能力,而垂直沉积(90°)砂层由于颗粒快速悬浮(悬浮系数βt→1.0)和明显的孔隙压缩效应,具有最高的液化敏感性。研究结果为自然沉积各向异性场地的地震液化风险评估提供了一些微观机制见解。
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引用次数: 0
Prediction of rock mass energy evolution during deep tunnel construction using static temporal fusion transformer and numerical surrogate model 基于静态时间融合变压器和数值代理模型的深部隧道施工岩体能量演化预测
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-31 DOI: 10.1016/j.compgeo.2026.107930
Yaoru Liu , Songyu Yue , Rujiu Zhang , Yuequn Huang , Muwu Xie , Qiang Yang
During TBM tunneling, timely and effective prediction of energy evolution of surrounding rock is critical for forecasting potential hazards like rockburst, serving as a fundamental safeguard for deep underground construction. So far, most researchers often underestimate the importance of rapid prediction of the energy evolution of tunnel surrounding rock, resulting in the inability to predict specific information such as the location and time of rock bursts. In this study, a surrogate model for predicting the evolution of energy dissipation rate of tunnel surrounding rock based on the static TFT model is proposed to achieve fast time series prediction. Building upon the Temporal Fusion Transformer (TFT) framework, the static TFT model which considers the time invariant nature of tunnel surrounding rock data is proposed. 4373 numerical samples containing 9 surrounding rock energy influencing factors and 12 output features are established and trained on the model guided by the proposed mixed data and physical loss function. The model’s performance is evaluated through sample size impact, and ablation feature experiments, as well as comparing the predictive accuracy and fitting effectiveness with baseline models. It is found that the proposed model achieves superior performance across all metrics in predicting surrounding rock energy evolution without redundant features. Specifically, it attains an MAE of 0.0447J·m-3·s-1, an R2 of 0.9201, and an MSE of 0.0148J2·m-6·s-2 for energy dissipation rate prediction. These outcomes signify a substantive advancement in rapid energy evolution forecasting for tunnel surrounding rock and provide an early-warning basis for related geohazards.
在TBM掘进过程中,及时有效地预测围岩能量演化是预测岩爆等潜在灾害的关键,是深埋地下施工的根本保障。迄今为止,大多数研究人员往往低估了快速预测隧道围岩能量演化的重要性,导致无法预测地压发生的具体位置和时间等信息。为了实现快速的时间序列预测,在静态TFT模型的基础上,提出了一种预测隧道围岩能量耗散率演化的替代模型。在时间融合变压器(TFT)框架的基础上,提出了考虑隧道围岩数据时不变特性的静态TFT模型。在提出的混合数据和物理损失函数指导下,建立并训练了包含9个围岩能量影响因素和12个输出特征的4373个数值样本。通过样本量影响和烧蚀特征实验,以及与基线模型的预测精度和拟合效果进行比较,对模型的性能进行了评估。结果表明,该模型在预测围岩能量演化过程中没有冗余特征,在所有指标上都取得了较好的效果。其中,能量耗散率预测的MAE为0.0447J·m-3·s-1, R2为0.9201,MSE为0.0148 j·m-6·s-2。这些结果标志着隧道围岩能量快速演化预测取得了实质性进展,为相关地质灾害预警提供了依据。
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引用次数: 0
Time-dependent deformations in deep tunnels: Insights into uncertainty and variability of rheological behavior 深隧道中随时间变化的变形:流变行为的不确定性和可变性
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-31 DOI: 10.1016/j.compgeo.2026.107942
Milad Zaheri , Pierpaolo Oreste , Masoud Ranjbarnia , Elham Mahmoudi
The uncertainty in determining rock mass properties significantly impacts tunnel stability. Additionally, squeezing conditions worsen tunnel stability, causing the tunnel to gradually converge over time. This paper addresses this issue and investigates the long-term behavior of deep tunnels using both visco-elastic and visco-elasto-plastic models. This study also includes risk-based analyses to offer a quantitative tool for engineering decision-making. Initially, an analytical method is introduced to calculate tunnel convergence in a visco-elastic rock mass. The uncertainty of key parameters that significantly affect tunnel behavior is also considered. Using MATLAB, the probability distributions of tunnel wall deformations over time are determined. The results indicate that, except in one case, the long-term tunnel convergence follows a right-skewed Gamma distribution, especially with a low GSI in both visco-elastic and visco-elasto-plastic models. This suggests that deterministic methods may not be reliable for ensuring the safety of long-term tunnel designs.
岩体性质的不确定性对隧道的稳定性影响很大。此外,挤压条件使隧道稳定性恶化,导致隧道随时间逐渐收敛。本文解决了这一问题,并采用粘弹性和粘弹塑性模型研究了深埋隧道的长期行为。本研究还包括基于风险的分析,为工程决策提供定量工具。首先介绍了粘弹性岩体中隧道收敛的解析计算方法。还考虑了对隧道性能有重要影响的关键参数的不确定性。利用MATLAB软件,确定了隧道壁变形随时间的概率分布。结果表明,除了一种情况外,长期隧道收敛遵循右偏Gamma分布,特别是粘弹性和粘弹塑性模型的低GSI。这表明,确定性方法可能不可靠,以确保长期隧道设计的安全。
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引用次数: 0
Tunnel excavation and swelling analysis of expansive bedrock with multiphysics elasto-plastic model capable of describing different swelling behavior due to exchangeable cation species 基于多物理场弹塑性模型的膨胀基岩隧道开挖及溶胀分析
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-30 DOI: 10.1016/j.compgeo.2026.107956
Keitaro Hoshi, Shotaro Yamada, Yuta Abe, Takashi Kyoya
Swelling of smectite-bearing bedrock can cause severe tunnel deformation, depending on the type of exchangeable cation present in the interlayer structure. This study proposes an extended expansive bedrock model capable of capturing distinct swelling behaviors induced by different cation species. The model incorporates a double-layer repulsive force, formulated based on Stern theory, into a previously developed finite elastoplastic framework. Finite element analyses of tunnel excavation and subsequent swelling were performed using the proposed model. The results indicate that yielding of the bedrock skeleton acts as a trigger for accelerated swelling deformation, and that the swelling behavior is strongly influenced by the type of exchangeable cation: in sodium-type smectite, pronounced swelling occurred primarily at the tunnel invert, whereas calcium- and potassium-type smectites exhibited only minor expansion. The analysis also investigated the mechanical interaction between the expansive bedrock and an invert concrete layer. Under the assumed conditions, compressive axial stresses exceeding 20 MPa developed in the invert, suggesting that the swelling pressure can surpass the compressive strength of ordinary unreinforced concrete. These findings elucidate the fundamental mechanism of tunnel invert deformation, highlighting the distinct swelling behaviors associated with various exchangeable cation species, clarifying the multiscale and multiphysics interactions between electrochemical processes in the interlaminar region and the elastoplastic response of the surrounding rock mass, and quantitatively demonstrating the mitigating effect of the invert on swelling-induced tunnel deformation.
含蒙脱石基岩的膨胀会导致严重的隧道变形,这取决于层间结构中存在的交换阳离子的类型。本研究提出了一种扩展的膨胀基岩模型,该模型能够捕捉不同阳离子引起的不同膨胀行为。该模型将基于斯特恩理论的双层斥力纳入到先前开发的有限弹塑性框架中。利用该模型对隧道开挖及后续膨胀进行了有限元分析。结果表明,基岩骨架的屈服是加速膨胀变形的触发因素,并且膨胀行为受交换阳离子类型的强烈影响:在钠型蒙脱石中,明显的膨胀主要发生在隧道仰拱处,而钙和钾型蒙脱石仅表现出轻微的膨胀。分析还探讨了膨胀基岩与倒拱混凝土层之间的力学相互作用。在假设条件下,仰拱出现了超过20 MPa的轴压应力,表明膨胀压力可以超过普通无筋混凝土的抗压强度。这些发现阐明了隧道反转变形的基本机制,突出了与不同交换阳离子相关的独特膨胀行为,阐明了层间区电化学过程与围岩弹塑性响应之间的多尺度和多物理场相互作用,并定量地证明了反转对膨胀引起的隧道变形的缓解作用。
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Computers and Geotechnics
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