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Theoretical and numerical investigation of the effects of in-situ stresses and dual-borehole combinations in eccentric decoupled charge blasting 偏心不耦合装药爆破中地应力和双孔组合影响的理论与数值研究
Pub Date : 2025-03-15 DOI: 10.1016/j.rockmb.2025.100191
Yao Yin , Minxing Song , Yu Feng , Zhongqiang Liu , Xiaohui Chen , Qing Sun
Eccentric decoupled charge (EDC) blasting is a widely used technique for rock fragmentation and tunnel excavation, yet the underlying rock damage mechanisms, particularly in relation to in-situ stresses and multi-borehole combinations, remain underexplored. First, we developed an analytical model for single-borehole EDC blasting, providing insights into the theoretical relationship between the formation of different rock damage zones around the borehole and various influencing factors, including decoupling coefficient, in-situ stress, rock and explosive properties, and peak blast pressure. Using a finite element fluid-solid coupling algorithm, we performed numerical simulations for a simple case of single-borehole EDC blasting, verifying the effectiveness of the adopted numerical approach. We then performed numerical simulations for dual-borehole EDC blasting with varying in-situ stress conditions and borehole combinations. The results indicate that: (1) rock damage is primarily concentrated on the eccentric side of the borehole due to its smaller decoupling coefficients and the resulting larger peak blast pressure; (2) the formation of through cracks between two boreholes is highly dependent on the relative angle φ between them, while the extent and direction of the cracks are largely controlled by the application of in-situ stress. This work provides a theoretical basis and reference for optimizing the design of multi-borehole contour blasting in deep rock excavation under significant in-situ stresses, facilitating desired crack propagation while minimizing damage to the surrounding rock.
偏心不耦合装药(EDC)爆破是一种广泛应用于岩石破碎和隧道开挖的技术,但其潜在的岩石损伤机制,特别是与地应力和多孔组合的关系,仍未得到充分研究。首先,我们建立了单孔EDC爆破的分析模型,深入了解了孔周围不同岩石损伤区形成与各种影响因素(包括解耦系数、地应力、岩石和炸药性质以及峰值爆破压力)之间的理论关系。利用有限元流固耦合算法,对一个简单的单孔EDC爆破进行了数值模拟,验证了所采用数值方法的有效性。然后,我们对不同地应力条件和钻孔组合的双孔EDC爆破进行了数值模拟。结果表明:(1)钻孔偏心侧由于解耦系数较小,峰值爆破压力较大,岩石损伤主要集中在偏心侧;(2)孔间贯通裂缝的形成高度依赖于孔间的相对夹角φ,而贯通裂缝的范围和方向在很大程度上受地应力作用的控制。为大地应力条件下深部岩石开挖多孔轮廓爆破优化设计提供了理论依据和参考依据,在保证裂纹扩展的同时尽量减少对围岩的破坏。
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引用次数: 0
Velocity effects on slip evolution of faults subjected to constant and cyclic normal stress derived from laboratory tests 实验室试验得出恒定和循环正应力作用下断层滑动演化的速度效应
Pub Date : 2025-02-20 DOI: 10.1016/j.rockmb.2025.100190
Kang Tao , Wengang Dang , Heinz Konietzky , Yu Liu , Wenhao Zhang , Xingling Li
Understanding the slip-style evolution of tectonic faults is important for exploring the earthquake mechanisms. To reveal the fault slip characteristics under a complex stress state, we conducted a series of laboratory friction tests on saw-cut granite joint surfaces. The effects of load point velocity and normal stress disturbances were investigated. Based on laboratory observations, a one-dimensional Spring-Block model was developed to interpret the frictional behavior. Under constant normal stress, the simulated fault (granite joint) exhibits a regular stick-slip phenomenon at different load point velocities with stable recurrence intervals and stress drop magnitudes. Under cyclic normal stress, when the load point velocity is slow, stick-slip events occur only after 4–5 cycles of normal stress loading. When the load point velocity is large, due to the rapid sliding of the joint interface, one normal stress cycle can lead to 4–5 stick-slip events. We find that the cyclic normal stress weakens the joint shear strength when the load point velocity is slow and improves the strength when the velocity is fast. There is a critical value of load point velocity for resonance where the stick-slip occurrence timespan is identical to the normal stress cyclic period. This work sheds light on the frictional evolution of tectonic faults during the seismic cycles influenced by a complex stress state.
了解构造断裂的滑型演化对探索地震机制具有重要意义。为了揭示复杂应力状态下的断层滑动特征,我们对锯切花岗岩节理面进行了一系列的室内摩擦试验。研究了加载点速度和法向应力扰动的影响。在实验室观察的基础上,建立了一维弹簧块模型来解释摩擦行为。在恒正应力条件下,模拟断层(花岗岩节理)在不同荷载点速度下表现出规律的粘滑现象,且具有稳定的重现周期和应力降幅度。循环法向应力作用下,加载点速度较慢时,仅在4 ~ 5次循环法向应力加载后才发生粘滑事件。当加载点速度较大时,由于节理界面的快速滑动,一个正应力循环可导致4-5次粘滑事件。研究发现,当加载点速度较慢时,循环法向应力削弱了节理的抗剪强度,当加载点速度较快时,循环法向应力提高了节理的抗剪强度。当黏滑发生时间跨度与正应力循环周期相同时,存在发生共振的荷载点速度临界值。这项工作揭示了在复杂应力状态影响下的地震旋回中构造断裂的摩擦演化。
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引用次数: 0
Investigation on stress distribution and prestress loss model of prestressed anchor cables considering corrosion-induced debonding 考虑腐蚀脱粘的预应力锚索应力分布及预应力损失模型研究
Pub Date : 2025-02-19 DOI: 10.1016/j.rockmb.2025.100189
Hanfang Zheng , Yujing Jiang , Xuezhen Wu , Sunhao Zhang , Satoshi Sugimoto
Corrosion can significantly impact the safety and stability of the entire structure by reducing the service life and load-bearing capacity of anchors. This study provides an in-depth examination of the effects of corrosion on prestressed anchor cables, covering the effects on the anchor cables themselves and the bond interface. The force characteristics and load transfer mechanisms within the anchorage structure were explored through a detailed analysis of the three key components: the anchor cable, the grout, and the surrounding rock. The distribution functions of axial force and interfacial shear stress considering the debonding of the anchor-grout interface were derived, and the prestressed corrosion damage model was further developed. Taking the anchoring project on the slopes in Nagasaki as an example, the stress distribution of anchor cables under different surrounding rock conditions was analyzed in depth. The results showed that the relative deformation of the grout and the surrounding rock decreases when the elasticity modulus of the surrounding rock increases, resulting in a reduced axial force in anchor cables and an increased interface shear stress. Thresholds exist for the effect of the total anchor length and radius on prestressing stability. When designing anchor structures in corrosive environments, there is no need to choose excessive anchor length or anchor radius to achieve better cost-effectiveness. In practical underground engineering, the force in anchor cables is transferred to the surrounding rock through the anchoring section, where the length of the anchorage section has a more direct impact on prestress transfer and stability.
腐蚀会降低锚杆的使用寿命和承载能力,严重影响整个结构的安全性和稳定性。本研究深入研究了腐蚀对预应力锚索的影响,包括对锚索本身和粘结界面的影响。通过对锚索、灌浆和围岩三个关键组成部分的详细分析,探讨了锚固结构内部的受力特性和荷载传递机制。推导了考虑锚固界面脱粘的轴力和界面剪应力分布函数,并进一步建立了预应力腐蚀损伤模型。以长崎某边坡锚固工程为例,深入分析了不同围岩条件下锚索的应力分布。结果表明:随着围岩弹性模量的增大,浆液与围岩的相对变形减小,锚索轴向力减小,界面剪应力增大;锚杆总长度和锚杆总半径对预应力稳定性的影响存在阈值。在腐蚀环境中设计锚固结构时,不需要选择过大的锚固长度或锚固半径,以获得更好的成本效益。在实际的地下工程中,锚索的受力是通过锚固段向围岩传递的,锚固段的长度对预应力传递和稳定性的影响更为直接。
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引用次数: 0
A microscopic DEM investigation on fracture shearing characteristics of infilled grains with different geometrical shapes in rock discontinuities 岩体结构面不同几何形状充填颗粒断裂剪切特征的微观DEM研究
Pub Date : 2025-01-09 DOI: 10.1016/j.rockmb.2025.100174
Zhicheng Tang , Zhifei Zhang , Lichun Zhao , Suguang Xiao
Rock discontinuities or faults often contain a layer of granular material. However, the evolutionary behavior (movement and breakage) of such infilled grains under shearing have not been comprehensively studied. To better understand this issue microscopically, numerical direct shear tests are performed on small rock discontinuity with single-grain infilled under different normal stresses by PFC2D, with emphasis on the effects of grain geometry (reflected by the aspect ratio (a/b)) and shear rate. Under the low normal stress (i.e., 0.1 ​MPa), circular grains (a/b ​= ​1.0) undergo in pure rolling during the shear process, with slight surface erosion, and the shear stress remains almost constant except for several fluctuations. The movement of grains with larger a/b changes from rolling to sliding or even crushing as the shear displacement increases. Under the high normal stress (i.e., 0.6 ​MPa), grains can eventually be crushed into a few large angular fragments and many fine comminuted particles, accompanied by severe damage to discontinuity surfaces, significant shear shrinkage, and violently fluctuating shear stress. The volume fraction of large angular fragments increases with the increase in a/b value, while that of fine comminuted particles decreases. Shear rate also has a significant impact on grain behavior. The main movement of grain with a/b ​= ​2.0 changes from rolling to sliding and even crushing under the low normal stress with the increase in shear rate. Rock discontinuities exhibit unstable shearing, and surface damage is less significant under the high normal stress and higher shear rate. The dominant failure mode in grains and discontinuity surfaces involves tension microcracks at different shear rates, while tension microcracks in the grain under high normal stress decrease drastically as the shear rate increases. Effects of micro-parameters of infilled grain are also investigated through sensitivity analysis. The observations provide implications for the macro-shear mechanism of rock discontinuity infilled with granular materials.
岩石不连续面或断层常含有一层颗粒状物质。然而,对这种充填颗粒在剪切作用下的演化行为(运动和破坏)尚未进行全面的研究。为了从微观上更好地理解这一问题,对不同法向应力下单粒PFC2D充填的小岩石结构面进行了数值直剪试验,重点研究了颗粒几何形状(由长径比(a/b)反映)和剪切速率的影响。在低法向应力(即0.1 MPa)条件下,圆形晶粒(a/b = 1.0)在剪切过程中发生非纯轧制,表面有轻微的侵蚀,剪切应力除了有几次波动外基本保持不变。随着剪切位移的增大,a/b较大的颗粒的运动由滚动变为滑动甚至破碎。在高法向应力(即0.6 MPa)作用下,晶粒最终被压碎成几个大的角状碎片和许多细小的粉碎颗粒,并伴有严重的不连续面损伤、显著的剪切收缩和剧烈的剪切应力波动。大角碎粒体积分数随a/b值的增大而增大,细碎粒体积分数则减小。剪切速率对晶粒行为也有显著影响。当a/b = 2.0时,随着剪切速率的增加,低法向应力下晶粒的主要运动由滚动变为滑动甚至破碎。岩石结构面剪切不稳定,在高正应力和高剪切速率下,表面损伤较小。在不同剪切速率下,晶粒和不连续表面的主要破坏模式是拉伸微裂纹,而在高法向应力下,随着剪切速率的增加,晶粒中的拉伸微裂纹急剧减少。通过敏感性分析,探讨了灌浆颗粒微参数对灌浆效果的影响。研究结果为研究颗粒状岩体结构面宏观剪切机制提供了理论依据。
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引用次数: 0
Modeling of particle migration in piping based on an improved discrete element method 基于改进离散元法的管道颗粒迁移建模
Pub Date : 2025-01-01 DOI: 10.1016/j.rockmb.2024.100151
Wenqiang Xia , Chun Liu , Hui Liu , Tao Zhao , Yao Zhu
Pore-scale particle migration in piping is the main reason of the suffusion-induced damage, which poses a significant threat to earth-rock dams. In order to investigate the micro-mechanism of piping seepage process, an improved fluid-solid coupling discrete element method is proposed in this paper. In this method, particles in a packed model are divided into coarse- and fine particle groups. Pores can be defined based on the coordinates of the coarse particles and the Delaunay triangulation algorithm. A pore density flow method is introduced to calculate the overall fluid pressure of each pore and the fluid flow via pore throats. Further, the drag force on fine particles inside a pore can be calculated according to the fluid velocities of the neighboring four pore throats. The proposed method was implemented in the discrete element software MatDEM, and was successfully used to simulate fine particle migration of piping, the particle loss process, and the related variation of permeability coefficient. The pore-jamming phenomenon during the fine particle migration is observed. The model provides an effective way for the numerical analysis and mechanism study of piping seepage process at the pore scale.
管道中孔隙尺度的颗粒迁移是造成溢流损伤的主要原因,对土石坝造成了重大威胁。为了研究管道渗流过程的微观机理,提出了一种改进的流固耦合离散元法。该方法将填充模型中的颗粒分为粗颗粒组和细颗粒组。孔隙可以根据粗颗粒的坐标和Delaunay三角剖分算法来定义。引入了一种孔隙密度流法,计算了各孔隙的总流体压力和通过孔喉的流体流量。此外,可以根据相邻四个孔喉的流体速度计算孔内细颗粒的阻力。在离散元软件MatDEM中实现了该方法,并成功地模拟了细颗粒在管道中的迁移、颗粒的损失过程以及渗透系数的相关变化。在细颗粒迁移过程中观察到孔隙堵塞现象。该模型为孔隙尺度下管道渗流过程的数值分析和机理研究提供了有效途径。
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引用次数: 0
Manually directional splitting of in-situ intact igneous rocks into large sheets 人工定向分裂原位完整火成岩成大块
Pub Date : 2025-01-01 DOI: 10.1016/j.rockmb.2024.100153
Zhong-jian Zhang , Zhongqi Quentin Yue , Biao Li , Zhi-fa Yang
This paper presents a directional large-area rock fracturing method. The method had distinctive features compared with other common fracturing methods. The area of the fracturing surface could reach 10–500 ​m2. The fractured rock was sheet-like in shape, with a thickness of 6–8 ​cm. The main fracturing tools and procedures used were described in the paper. This paper analyzed the reason for controllable and directional (also mode-I) rupturing in rock from the view of fracture mechanics. Counter-intuitively, the fracturing surface of the rock sheet had an angle (approximately 25°) to the loading direction (i.e., the orientation of the maximum principal compressive stress). The rupture behavior was controlled by the relationship between the load and the geometric boundary of the rock. It is found that the fracturing surface can suddenly and rapidly propagate after a certain strike by calculating the energies of the rock sheet. The striking energy could be converted into elastic strain energy, which accumulates in a very-slightly bent rock sheet step by step until exceeds the bearing limit of rock sheet. Most of the stored elastic strain energy was subsequently released in the form of splitting energy, leading to rock fracturing. This study provides insights into the occurrence of tectonic earthquakes.
提出了一种定向大面积岩石压裂方法。与其他常用压裂方法相比,该方法具有明显的特点。压裂面面积可达10-500 m2。断裂岩石呈片状,厚度为6 ~ 8 cm。介绍了主要的压裂工具和压裂工艺。本文从断裂力学角度分析了岩石可控、定向(即ⅰ型)破裂的原因。与直觉相反,岩片的破裂面与加载方向(即最大主压应力的方向)有一个角(约25°)。破坏行为受荷载与岩石几何边界的关系控制。通过对岩板能量的计算,发现在一定的冲击后,破裂面会突然迅速地扩展。冲击能可转化为弹性应变能,在极轻微弯曲的岩板中逐级积累,直至超过岩板的承载极限。储存的大部分弹性应变能随后以劈裂能的形式释放,导致岩石破裂。这项研究为构造地震的发生提供了见解。
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引用次数: 0
Numerical modeling of the long-term poromechanical performance of a deep enhanced geothermal system in northern Québec 曲海北部深部增强型地热系统长期孔隙力学性能的数值模拟
Pub Date : 2025-01-01 DOI: 10.1016/j.rockmb.2024.100170
Saeed Vadiee , Biao Li , Jasmin Raymond , Mafalda M. Miranda
This study numerically investigates the thermo-poromechanical effects in a Canadian geothermal reservoir caused by long-term fluid production and injection. Using finite element modeling, it explores pore pressure diffusion and thermal dynamics, incorporating both the geological structure of the rock mass and faults. The simulations utilize the IAPWS (International Association for the Properties of Water and Steam) equations to model fluid density and viscosity, ensuring realistic representations of heterogeneous pressure fields. The system replicates a doublet configuration within a faulted zone, featuring two hydraulically stimulated fractures. The primary aim is to assess the likelihood of fault reactivation under varying in-situ stress conditions over a 100-year geothermal operation. Results show that stress distribution is largely influenced by thermal stresses along the fluid circulation pathway, with fluid velocity and temperature gradients affecting reservoir stability. Minimal pore pressure changes highlight the dominant role of thermal stresses in controlling fault behavior. The analysis indicates no potential for fault reactivation, as slip tendency values remain below the critical threshold, even when accounting for reduced mechanical properties using the Hoek-Brown criterion. Thermal effects continue to influence the surrounding rock throughout the operational period, suggesting that the reservoir maintains mechanical stability conducive to sustained geothermal production and injection. These findings provide valuable insights into the long-term safety and behavior of geothermal reservoirs, offering important implications for future geothermal energy development and management strategies.
本文对加拿大某地热储层长期采油和注液引起的热-孔隙力学效应进行了数值研究。利用有限元建模,结合岩体和断层的地质结构,探索孔隙压力扩散和热动力学。模拟利用IAPWS(国际水和蒸汽特性协会)方程来模拟流体密度和粘度,确保真实地表示非均匀压力场。该系统在断裂带内复制了一个双重结构,具有两个水力压裂裂缝。主要目的是评估100年地热作业中不同地应力条件下断层重新激活的可能性。结果表明:沿流体循环路径应力分布受热应力影响较大,流体速度和温度梯度影响储层稳定性;最小孔隙压力变化凸显了热应力在控制断层行为中的主导作用。分析表明,即使使用Hoek-Brown准则计算力学性能的降低,由于滑动倾向值仍低于临界阈值,因此没有断层重新激活的可能性。在整个作业期间,热效应持续影响着围岩,这表明储层保持着机械稳定性,有利于持续的地热开采和注入。这些发现为地热储层的长期安全性和行为提供了有价值的见解,对未来地热能源的开发和管理策略具有重要意义。
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引用次数: 0
Data-driven machine learning approaches for simultaneous prediction of peak particle velocity and frequency induced by rock blasting in mining 基于数据驱动的机器学习方法同时预测采矿岩石爆破产生的峰值颗粒速度和频率
Pub Date : 2025-01-01 DOI: 10.1016/j.rockmb.2024.100166
Yewuhalashet Fissha , Prashanth Ragam , Hajime Ikeda , N. Kushal Kumar , Tsuyoshi Adachi , P.S. Paul , Youhei Kawamura
The vibrations generated by rock blasting are a serious and hazardous outcome of these activities, causing harmful effects on the surrounding environment as well as the nearby residents. Both the local ecology and human communities suffer from the consequences of these vibrations. Assessing the severity of blasting vibrations necessitates a thorough evaluation of Peak Particle Velocity (PPV) and frequency, which are essential parameters for measuring vibration velocity. Accurate prediction of vibration occurrence is critically important. Therefore, this study employs five machine learning models for predicting the PPV and frequency resulting from quarry blasting. This work compares five machine learning models (XGBoost, Catboost, Bagging, Gradient Boosting, and Random Forest Regression) to choose the most efficient performance model. The performance evaluation of each five machine learning models demonstrates each model achieved a performance of more than 0.90 during the testing phase, there was a strong correlation observed between the actual and the predicted ones. The analysis of performance metrics shows Catboost regression model demonstrate better performance prediction comparing with the other models with R2 ​= ​0.983, MSE ​= ​0.000078, RMSE ​= ​0.008, NRMSE ​= ​0.019, MAD ​= ​0.004, MAPE ​= ​35.197 in the PPV prediction, and R2 ​= ​0.975, MSE ​= ​0.000243, RMSE ​= ​0.015, NRMSE ​= ​0.031, MAD ​= ​0.008, MAPE ​= ​37.281 for the frequency prediction. This study will help mining engineers and blasting experts to select the best machine learning model and its hyperparameters in estimating ground vibration, and frequency. In the context of the mining and civil industry, the application of this study offers significant potential for enhancing safety protocols and optimizing operational efficiency. By employing machine learning models, this research aims to accurately predict and assess ground vibrations with frequency resulting from rock blasting.
岩石爆破产生的振动是爆破活动的一种严重而危险的后果,对周围环境和附近居民造成有害影响。当地生态和人类社区都遭受这些振动的后果。评估爆破振动的严重程度需要对峰值粒子速度(PPV)和频率进行全面评估,这是测量振动速度的重要参数。振动发生的准确预测是至关重要的。因此,本研究采用五种机器学习模型来预测采石场爆破产生的PPV和频率。这项工作比较了五种机器学习模型(XGBoost, Catboost, Bagging, Gradient Boosting和Random Forest Regression),以选择最有效的性能模型。对每五个机器学习模型的性能评估表明,在测试阶段,每个模型的性能都达到了0.90以上,实际和预测之间存在很强的相关性。性能指标分析表明,Catboost回归模型在PPV预测中R2 = 0.983, MSE = 0.000078, RMSE = 0.008, NRMSE = 0.019, MAD = 0.004, MAPE = 35.197,在频率预测中R2 = 0.975, MSE = 0.000243, RMSE = 0.015, NRMSE = 0.031, MAD = 0.008, MAPE = 37.281,较其他模型具有较好的性能预测效果。该研究将有助于采矿工程师和爆破专家在估计地面振动和频率时选择最佳的机器学习模型及其超参数。在采矿和民用工业的背景下,本研究的应用为加强安全协议和优化操作效率提供了巨大的潜力。通过使用机器学习模型,本研究旨在准确预测和评估岩石爆破引起的地面振动频率。
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引用次数: 0
Dynamic evolution of reservoir permeability and deformation in geothermal battery energy storage using abandoned mines 废矿地热电池储能储层渗透率与变形动态演化
Pub Date : 2025-01-01 DOI: 10.1016/j.rockmb.2024.100155
Yanting Liu , Yuan Liang , Yueqiang Ma , Jingyi Liu , Derek Elsworth , Quan Gan
Retasking existing subsurface abandoned mines as infrastructure for solar energy storage could be a feasible approach in overcoming the low thermal gradient present in shallow formations. In this work, the potential for thermal storage in the high permeability goaf of abandoned mines through diurnal cyclic injection-then-extraction using coupled thermo-hydro-mechanical modeling was explored by coupling FLAC3D with TOUGH2. The temperature sensibility of reservoir during 30 days of cyclic injection-then-production was examined at various injection temperatures (ranging from 50 ​°C to 250 ​°C) and rates (ranging from 1 ​kg/s to 10 ​kg/s) and for representative reservoir physical and thermal properties, including variable thermal expansion coefficients. The simulation results reveal that: The principal mechanisms driving reservoir deformation result from the combined influence of thermal poroelastic and thermal effects. With the change of reservoir temperature, the reservoir is perturbed by pressure and thermal stresses causing permeability evolution. Permeability reduces ∼10% for a maximum injection temperature of 250 ​°C – although effects are reduced the lower injection temperatures. The pore pressure fluctuations for an injection rate of 10 ​kg/s is ∼6.5 times that for a rate of 1 ​kg/s. The pressure perturbation of the reservoir during the injection process decreases with the injection rate, and the reservoir is relatively more stable. When the thermal stress becomes predominant, the reservoir volume expands. Uplift displacements 220 ​m above the hot injection well are trivial an of the order of ∼1.5 ​mm at a mean temperature of 163 ​°C.
将现有的地下废弃矿井改造为太阳能储存的基础设施,可能是克服浅层地层存在的低热梯度的可行方法。在这项工作中,利用FLAC3D与TOUGH2耦合,利用热-水-力学耦合模型,探讨了废弃矿山高渗透采空区通过日循环注入-提取的储热潜力。在不同的注入温度(50°C ~ 250°C)和注入速率(1 kg/s ~ 10 kg/s)以及具有代表性的储层物性和热性(包括可变热膨胀系数)下,研究了30天循环注入-采油过程中储层的温度敏感性。模拟结果表明:驱动储层变形的主要机制是热孔弹性效应和热效应的综合影响。随着储层温度的变化,储层受到压力和热应力的扰动,导致渗透率的演化。当最高注入温度为250°C时,渗透率降低约10%,尽管较低的注入温度会降低效果。10 kg/s注入速率下孔隙压力波动是1 kg/s注入速率下孔隙压力波动的6.5倍。注油过程中储层压力扰动随注油速率的增大而减小,储层相对稳定。当热应力起主导作用时,储层体积增大。在平均温度为163°C时,热注入井上方220 m的隆起位移微不足道,约为1.5 mm。
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引用次数: 0
Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method 纵波和横波作用下隧道衬砌内力分析:解析解和准静力数值方法
Pub Date : 2025-01-01 DOI: 10.1016/j.rockmb.2024.100168
Rouhollah Basirat
This paper employs analytical and pseudo-static approaches to analyze the tunnel response under the compression (P) and shear (S) waves. In the first step, Einstein and Schwartz’s method is revised for calculating Tunnel Lining Internal Forces (TLIFs) under P-wave. Next, a comprehensive comparison is performed between TLIFs under S and P-waves in two extreme contact interfaces of no-slip (NS) and full-slip (FS) conditions. Lastly, the effect of the intermediate layer was investigated by quasi-static finite element numerical modeling. The results showed that the maximum value of the axial force under the P-wave exceeds that of the S-wave in both the NS and FS conditions. Also, the amount of bending moment and shear force in both the NS and FS conditions under the S-wave is almost twice the P-wave. In general, the weak interlayer causes a decrease in the maximum axial force and the axial force values in the range of placement of the weak interlayer with the tunnel. Besides, it increases the maximum bending moment and shear force compared to the homogeneous medium. It was also observed that the weak interlayer with low thickness causes unpredictable behavior under S and P-waves. Overall, the presence of a layer with different stiffness led to a significant effect on the TLIFs under S and P-waves and increased the complexity of the dynamic analysis of tunnel lining. Therefore, it should be simulated separately under NS and FS conditions.
本文采用解析法和拟静力法分析了隧道在P波和S波作用下的响应。第一步,修正爱因斯坦和施瓦茨的方法,计算p波作用下隧道衬砌内力(TLIFs)。其次,在无滑移(NS)和全滑移(FS)两种极端接触界面条件下,对S波和p波下的TLIFs进行了全面比较。最后,通过准静态有限元数值模拟研究了中间层的影响。结果表明:纵波作用下的轴向力最大值均大于横波作用下的轴向力最大值;同时,纵波作用下的弯矩和剪力量在横波和纵波作用下几乎是纵波作用下的两倍。一般情况下,弱夹层会导致最大轴向力减小,且在弱夹层随隧道放置范围内的轴向力值也会减小。与均匀介质相比,增大了最大弯矩和最大剪力。在S波和p波作用下,低厚度的弱夹层会导致不可预测的行为。综上所述,不同刚度层的存在对横波和S波作用下隧道衬砌的TLIFs有显著影响,增加了隧道衬砌动力分析的复杂性。因此,应分别在NS和FS条件下进行模拟。
{"title":"Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method","authors":"Rouhollah Basirat","doi":"10.1016/j.rockmb.2024.100168","DOIUrl":"10.1016/j.rockmb.2024.100168","url":null,"abstract":"<div><div>This paper employs analytical and pseudo-static approaches to analyze the tunnel response under the compression (P) and shear (S) waves. In the first step, Einstein and Schwartz’s method is revised for calculating Tunnel Lining Internal Forces (TLIFs) under P-wave. Next, a comprehensive comparison is performed between TLIFs under S and P-waves in two extreme contact interfaces of no-slip (NS) and full-slip (FS) conditions. Lastly, the effect of the intermediate layer was investigated by quasi-static finite element numerical modeling. The results showed that the maximum value of the axial force under the P-wave exceeds that of the S-wave in both the NS and FS conditions. Also, the amount of bending moment and shear force in both the NS and FS conditions under the S-wave is almost twice the P-wave. In general, the weak interlayer causes a decrease in the maximum axial force and the axial force values in the range of placement of the weak interlayer with the tunnel. Besides, it increases the maximum bending moment and shear force compared to the homogeneous medium. It was also observed that the weak interlayer with low thickness causes unpredictable behavior under S and P-waves. Overall, the presence of a layer with different stiffness led to a significant effect on the TLIFs under S and P-waves and increased the complexity of the dynamic analysis of tunnel lining. Therefore, it should be simulated separately under NS and FS conditions.</div></div>","PeriodicalId":101137,"journal":{"name":"Rock Mechanics Bulletin","volume":"4 1","pages":"Article 100168"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Rock Mechanics Bulletin
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