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1.
This paper evaluates the performance of a generalized effective stress soil model for predicting the rate independent behaviour of freshly deposited sands, while a companion paper describes model capabilities for clays and silts. Most material parameters can be obtained from standard laboratory data, including hydrostatic or one‐dimensional compression, drained and undrained triaxial shear testing. A compilation of data on compression behaviour allows for estimation of compression parameters when this type of data is not available. Extensive comparisons of model predictions with measured data from undrained triaxial shear tests shows that the model gives excellent predictions of the transition from dilative to contractive shear response as the confining pressure and/or the initial formation void ratio increases. A parametric study of drained response shows that the model describes realistically the variation of peak friction angle and dilation rate as a function of confining pressure and density when compared with an empirical correlation valid for many sands. The proposed formulation predicts a unique critical state locus for both drained and undrained triaxial testing which is non‐linear over the entire range of stresses and is in excellent agreement with recent experimental data. Overall, the model provides excellent predictions of the stress–strain–strength relationships over a wide range of confining pressures and formation densities. Copyright © 2002 John Wiley & Sons, Ltd.  相似文献   

2.
王凯  郑吉玉  朱奎胜 《岩土力学》2015,36(Z2):259-266
煤矿井下巷道开挖及采煤是一个卸围压过程,与常规三轴压缩试验相比,煤岩在卸围压时表现出不同的力学性质。通过对常规三轴和卸围压两种应力路径下的试验研究发现,无论是常规三轴还是卸围压试验,高围压均导致煤样更大的应变和更强烈的破坏。在初始围压相同的情况下,与常规三轴试验相比,卸围压试验中峰值点割线模量较小、割线泊松比较大;煤样在卸围压时的破坏更强烈,侧向应变较大,而轴向应变差别不大。通过卸围压效应系数分析发现,初始围压越高和卸围压速率越大,煤样的卸围压效应系数越小,越易失稳破坏,与高围压下割线模量降低相一致。对常规三轴和卸围压试验中无烟煤破坏过程的能量变化分析结果表明,卸围压速率越快,煤样的极限储存能Up越小,煤样越易失稳破坏,验证了卸围压效应系数分析结果。高围压下常规三轴试验和卸围压试验中煤样的破坏需要更多的能量,揭示了高围压下煤样变形破坏强烈的多的原因。  相似文献   

3.
This paper presents an elasto‐plastic model for unsaturated compacted soils and experimental results obtained from a series of suction‐controlled triaxial tests on unsaturated compacted clay with different initial densities. The initial density dependency of the compacted soil behaviour is modelled by establishing experimental relationships between the initial density and the corresponding yield stress and thereby between the initial density and the location and slope of normal compression line. The model is generalized to three‐dimensional stress states by assuming that the shapes of the failure surface and the yield surface in the deviatoric plane are given by the extended SMP criterion. A considerable number of the isotropic compression, triaxial compression and extension tests on unsaturated compacted clay with different initial densities were performed using a suction‐controllable triaxial apparatus, to measure the stress–strain–volume change in different stress paths and wetting paths. The model has well‐predicting capabilities to reproduce the mechanical behaviour of specimens compacted under different conditions not only in isotropic compression but also in triaxial compression and triaxial extension. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

4.
南京砂强度特征与静态液化现象分析   总被引:2,自引:1,他引:1  
朱建群  孔令伟  钟方杰 《岩土力学》2008,29(6):1461-1465
在松散、中密和密实状态下,以南京粉细砂三轴固结不排水试验结果为基础,进行了强度、变形与静态液化特征的分析。松散南京砂强度特性表现出典型的应变软化,当轴向变形小于1 %时强度达到最大值,而后急剧降低;在50,100 kPa围压时发生了静态液化。但随着固结压力的增大,静态液化消失。与南京砂具有相同土骨架的松散纯净砂却在低围压下未出现静态液化,其形成机制是:粉粒的存在未使土体孔隙比发生较大变化,却引起更大的体缩性;中密和密实南京粉细砂表现出加工硬化的强度特征,临界应力状态线倾角高达55°,具有较高的抗静态液化能力。  相似文献   

5.
This paper presents a three‐dimensional elastoplastic constitutive model for predicting the hydraulic and mechanical behaviour of unsaturated soils. It is based on experimental results obtained from a series of controlled‐suction triaxial tests on unsaturated compacted clay with different initial densities. Hydraulic hysteresis in the water‐retention behaviour is modelled as an elastoplastic process, with the elastic part modelled by a series of scanning curves and the elastoplastic part modelled by the main drying and wetting curves. The effect of void ratio on the water‐retention behaviour is studied using data obtained from controlled‐suction wetting–drying cyclic tests on unsaturated compacted clay with different initial densities. The effect of the degree of saturation on the stress–strain‐strength behaviour and the effect of void ratio on the water‐retention behaviour are considered in the model, as is the effect of suction on the hydraulic and mechanical behaviour. The initial density dependency of the compacted soil behaviour is modelled by experimental relationships between the initial density and the corresponding yield stress and, thereby, between the initial density and the normal compression line. The model is generalized to three‐dimensional stress states by assuming that the shapes of the failure and yield surfaces in the deviatoric stress plane are given by the Matsuoka–Nakai criterion. Model predictions of the stress–strain and water‐retention behaviour are compared with those obtained from triaxial tests with different initial densities under isotropic compression, triaxial compression and triaxial extension, with or without variation in suction. The comparisons indicate that the model accurately predicts the hydraulic and mechanical behaviour of unsaturated compacted soils with different initial densities using the same material constant. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

6.
Chang  Dan  Lai  Yuanming  Yu  Fan 《Acta Geotechnica》2019,14(6):1757-1783

The mechanical property of frozen saline sandy soil is complicated due to its complex components and sensitivity to salt content and confining pressure. Thus, a series of triaxial compression tests were carried out on sandy samples with different Na2SO4 contents under different confining pressures to explore the effects of particle breakage, pressure melting, shear dilation and strain softening or hardening. The test results indicate that the stress–strain curves exhibit strain softening/hardening phenomena when the confining pressures are below or above 6 MPa, respectively. A shear dilation phenomenon was observed in the loading process. With increasing confining pressure, the strength firstly increases and then decreases. By taking into consideration the changes between the grain size distributions before and after triaxial compression tests, a failure strength line incorporating the influences of both particle breakage and pressure melting is proposed. In order to describe the deformation characteristics of frozen saline sandy soil, an elastoplastic incremental constitutive model is established based on the test results. The proposed model considers the plastic compressive, plastic shear and breakage mechanisms by adopting the non-associated flow rule. The breakage mechanism can be reflected by an index related to the initial, current and ultimate grain size distributions. The hardening parameters corresponding to compressive and shear mechanisms consider the influence of particle breakage. Then the effect of particle breakage on both the stress–strain and volumetric strain curves is analyzed. The calculated results fit well with the test results, indicating that the developed constitutive model can well describe the mechanical and deformation features of frozen saline sandy soil under various stress levels and stress paths. In addition, the strain softening/hardening, contraction, high dilation and particle breakage can be well captured.

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7.
Heavy and extra heavy oil reservoirs are subjected to high temperatures during thermal recovery processes like SAGD and CSS. In-situ temperature state changes throughout these operations may generate variations in the mechanical properties or strength parameters of the rock such as Young and Bulk’s modulus, internal friction angle, cohesion and dilation angle. This paper presents results about the variation of the elastic modulus and mechanical properties, in both elastic and plastic region due to changes in temperature and effective confining stress for reconstituted samples of Colombian unconsolidated sands. In order to study these changes, several drained triaxial tests are performed in a range of temperature between 50 and 230 °C and a range of effective confining stress between 0.4 and 8.2 MPa, these tests are carried out on reconstituted samples of oil sands recovered in an outcrop in the Magdalena middle valley of Colombia. The experimental results are analyzed with an analytical model based on the constitutive model of Mohr–Coulomb. The analysis is divided in two ways: First, the elastic region is analyzed calculating the variation of the elastic modulus (Young and bulk’s modulus) and the mechanical parameters (cohesion and internal friction angle) with temperature and effective confining stress, these calculus are done in the linear zone of the stress–strain curve. Then, the plastic region is analyzed using Mohr–Coulomb constitutive model with a non-associative flow rule in order to represent in a better way the dilatant/contractive behavior of the material, from this analysis is possible to obtain the behavior of the mechanical properties during plastic strains. The stress–strain curves obtained from the triaxial compression tests show that for the highest and medium effective confining stress (8.2 and 4.0 MPa), there is a hardening strain behavior after the yielding point that implies a loose sand behavior under confining conditions. Meanwhile, for lowest effective confining stress (0.4 MPa) the samples show a softening strain, a typical behavior for dense sands under confining conditions.  相似文献   

8.
利用自主研发的含瓦斯煤岩热流固耦合三轴伺服渗流装置配合声发射监测系统对不同围压作用下含瓦斯煤岩进行了卸围压试验,试验结果表明:不同围压作用下含瓦斯煤岩声发射事件率、累积振铃计数与应力曲线具有较好的对应关系,振幅总体分布在[42,60]dB之间,随着振幅的增加,声发射事件率呈现出递减的趋势;含瓦斯煤岩失稳破坏时声发射事件率与围压呈线性关系,而声发射累积振铃计数与围压呈指数函数关系;不同围压下含瓦斯煤岩卸围压实验中轴向应力加载阶段和围压卸载阶段能量特征是不同的,随着围压的增大,煤岩加载阶段吸收的能量明显增大,卸载阶段释放的能量也相应的增大,加载阶段和卸载阶段能量变化与初始围压均呈对数关系。   相似文献   

9.
岩体经受自然冻融循环过程后,其物理力学性质的劣化是引起岩石工程灾害的主要原因。借助于MTS815液伺服岩石试验系统对经历不同冻融循环次数的粗砂岩进行三轴压缩试验,研究经历不同冻融循环次数后岩石在不同围压下的强度和变形特性,分析冻融循环次数和围压对岩石强度和变形的影响规律。研究结果表明,在冻融循环次数一定的条件下,随着围压的增加,岩石的三轴抗压强度、弹性模量和峰值轴向应变逐渐增加,表明粗砂岩的破坏逐渐由脆性破坏向塑形破坏变化;在围压相同的情况下,随着冻融循环次数的增加,岩石的三轴抗压强度、弹性模量逐渐减小,峰值应力对应的轴向应变逐渐增加;随着冻融循环次数的增加,粗砂岩的黏聚力均呈指数衰减形式降低,内摩擦角变化很小。   相似文献   

10.
Conventional triaxial compression and “reducing confining pressure” experiments were carried out for red sandstone by an MTS815 Flex Test GT rock mechanics experimental system. Our results show that the post-peak axial deformation characteristics of red sandstone changed as the confining pressure was increased from 5 to 65?MPa. Young’s modulus of red sandstone increased nonlinearly with increasing confining pressure, but Poisson’s ratio remained unaffected. Using our new data, the compactive and dilatant behavior, strength and failure characteristics of sandstone under triaxial compression are further discussed. For our data, the nonlinear Hoek-Brown criterion better reflects the peak strength properties than the linear Mohr-Coulomb criterion. However, the residual strength shows a clear linear relationship with confining pressure, which can be best described using the linear Mohr-Coulomb criterion. The peak and residual strengths were not directly related to the two different loading paths. The onset of dilatancy (C′), the switch from compaction-dominated to dilatant-dominated behavior (D′) and the stress at zero volumetric strain all increased linearly with the confining pressure. In our conventional triaxial compression experiments, the failure mode changed from mixed tension and shear fracture (single shear fracture) to shear fracture with double slippage planes with increasing confining pressure. However, the failure mode in our “reducing confining pressure” experiments was more complicated and results mainly from the unstable failure characteristics of the rock during the reduction in confining pressure. Finally, based on our acoustic emission (AE) locations, at a confining pressure of 35?MPa, a detailed analysis of the evolutionary process of internal cracks is presented for the entire loading process.  相似文献   

11.
粗粒料的力学特性不仅取决于应力状态,还与粗粒料本身的松密程度密切相关,即与粗粒料的材料状态相关。通过不同初始干密度的粗粒料常规大型三轴各向等压固结排水剪切试验研究了干密度对粗粒料力学特性的影响。试验结果表明:粗粒料应力-应变曲线的形态取决于密度和围压的共同作用,破坏状态之前密度和围压共同决定了粗粒料的强度和变形,而当应变足够大处于渐进状态或临界状态时,粗粒料的应力和体积应变受初始干密度的影响逐渐减小直至消失。对于软化型曲线,相变状态的应力小于渐进状态的应力,而渐进状态的应力小于破坏状态的应力。无论围压大小如何,随着初始干密度的增大,应力-应变曲线的硬化性逐渐减弱,而软化性则逐渐增强。  相似文献   

12.
This paper presents a simple three‐dimensional (3D) Distinct Element Method (DEM) for numerical simulation of the mechanical behavior of bonded sands. First, a series of micro‐mechanical tests on a pair of aluminum rods glued together by cement with different bond sizes were performed to obtain the contact mechanical responses of ideally bonded granular material. Second, a 3D bond contact model, which takes into account the influences of bond sizes, was established by extending the obtained 2D experimental results to 3D case. Then, a DEM incorporating the new contact model was employed to perform a set of drained triaxial compression tests on the DEM bonded specimens with different cement contents under different confining pressures. Finally, the mechanical behavior of the bonded specimens was compared with the available experimental results. The results show that the DEM incorporating the simple 3D bond contact model is able to capture the main mechanical behavior of bonded sands. The bonded specimen with higher cement content under lower confining pressure exhibits more pronounced strain softening and shear dilatancy. The peak and residual strengths, the apparent cohesion and peak/residual friction angles, and the position and slope of the critical state line increase with increase in cement content. Microscopically, bond breakage starts when the system starts to dilate and the maximum rate of bond breakage coincides with the maximum rate of dilation. Bond breakage is primarily due to tension‐shear failure and the percentage of such failures is independent of both confining pressure and cement content. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

13.
地下洞室开挖围岩经历典型径向卸载、环向加载应力路径,由此引起的岩体强度、变形特征和破坏机制也不尽相同。针对锦屏二级水电站高地应力赋存环境,对施工排水洞大理岩开展常规单轴全应变、三轴压缩、卸围压、卸围压-加载轴压等4种不同应力路径力学试验,得到应力-应变全过程曲线、变形破坏特征和极限储能变化规律。试验研究结果表明, (1)锦屏二级水电站大理岩破坏时轴向应变一般较小,为硬脆性材料,卸荷应力路径下该脆性特征更为明显;(2)卸围压同时加载轴压试验峰值强度对应轴向应变、环向应变及体积应变值一般高于单纯的卸围压值,而对应峰值强度则一般低于卸围压值;(3)卸荷速率较大时,变形模量越大,大理岩峰值强度越低。加载速率越大,变形模量越小,峰值强度越高。初始围压越高,变形模量值越低,峰值强度越高;(4)无侧限作用时试件主要为张拉破坏,低侧限作用时为剪切破坏为主,局部存在张拉破坏,较高侧限时,剪切面为典型X或Y型;(5)岩石试件具有极限储能值,该值受多种因素的影响。一般情况下试件破坏对应围压越高,极限储能值越高,卸载速率越大,极限储能值越小。研究结果对于岩爆孕育发生机制解释以及工程实际问题的解决均有参考价值。  相似文献   

14.
Ye  Weitao  Fu  Longlong  Shan  Yao  Dai  Ning  Guo  Peijun  Zhou  Shunhua  Rackwitz  Frank 《Acta Geotechnica》2022,17(8):3211-3227

The fundamental understanding of the behavior of granular materials by the effect of vibration is necessary to properly address a number of engineering issues, such as long-term settlement of high-speed railway, vibratory pile driving in sandy stratum, and earthquake-induced geotechnical disaster. Triaxial compression tests of dry Pingtan sand were carried out by a modified triaxial apparatus, where axial high-frequency vibration was super-imposed on the specimen at pre-peak, peak, and post-peak stress states during monotonic shearing. The influences of vibration conditions, confining pressure, and the initial relative density on the vibration-induced responses of Pingtan sand are mainly considered. It is shown that the super-imposed vibration leads to significant deviatoric stress reduction and vibro-induced additional axial strain. This owes to the fact that the static inter-particle friction turns to dynamic friction, and consequently, the frictional resistance has a considerable reduction when vibration is applied to the sand specimen. The vibration-induced stress–strain behavior of sand specimen is characterized into three states by two thresholds concerning vibration intensity and confining pressure: (1) stable state, (2) vibro-compression state and (3) vibro-instability state. For the vibro-compression state, the deviatoric stress reduction has a positive linear correlation with the increase in vibration intensity, while the vibro-induced additional axial strain follows a power-law increase with vibration intensity. Given a vibration condition, the deviatoric stress reductions and the vibro-induced additional axial strains at pre-peak, peak, and post-peak stress state follow a descending order. Besides, the influences of vibration on shear strength and critical state were also discussed.

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15.
This paper presents a new generalized effective stress model, referred to as MIT-S1, which is capable of predicting the rate independent, effective stress–strain–strength behaviour of uncemented soils over a wide range of confining pressures and densities. Freshly deposited sand specimens compressed from different initial formation densities approach a unique condition at high stress levels, referred to as the limiting compression curve (LCC), which is linear in a double logarithmic void ratio, e, mean effective stress space, p′. The model describes irrecoverable, plastic strains which develop throughout first loading using a simple four-parameter elasto-plastic model. The shear stiffness and strength properties of sands in the LCC regime can be normalized by the effective confining pressure and hence can be unified qualitatively, with the well-known behaviour of clays that are normally consolidated from a slurry condition along the virgin consolidation line (VCL). At lower confining pressures, the model characterizes the effects of formation density and fabric on the shear behaviour of sands through a number of key features: (a) void ratio is treated as a separate state variable in the incrementally linearized elasto-plastic formulation: (b) kinematic hardening describing the evolution of anisotropic stress–strain properties: (c) an aperture hardening function controls dilation as a function of ‘formation density’; and (d) the use of a single lemniscate-shaped yield surface with non-associated flow. These features enable the model to describe characteristic transitions from dilative to contractive shear response of sands as the confining pressure increases. This paper summarizes the procedures used to select input parameters for clays and sands, while a companion paper compares model predictions with measured data to illustrate the model capability for describing the shear behaviour of clays and sands. Copyright © 1999 John Wiley & Sons, Ltd.  相似文献   

16.
Oil sands are dense granular materials with interlocked structure and clay shales are heavily overconsolidated clays. They are classified as structured soil or weak rock, exhibiting high peak strength with severe softening and dilation, particularly at low confining stress. The triaxial compression test results indicate that both materials yield linear Mohr–Coulomb envelopes with an apparent cohesion for peak and residual strengths. However, the strength components mobilized from these two materials are very different. This paper investigates if these strength parameters are intrinsic properties or responses derived in triaxial compression conditions. Computer tomography scanning technique is used to aid in examining the micro‐structural features of the sheared specimens such as shear banding pattern, shear band thickness, spatial porosity distributions inside and outside shear bands. These micro‐structural features are used to explain the macro‐deformation response observed in the triaxial compression tests. Mobilization of strength components derived from interlocked structure, cementation, dilation, rolling and critical state are analysed for pre‐, post‐peak softening and residual stages. It is found that the empirical correlation such as Mohr–Coulomb failure criterion based on triaxial compression test results does not necessarily reflect the intrinsic properties of the test materials. Testing conditions are embedded in the empirical correlation. Copyright © 2001 John Wiley & Sons, Ltd.  相似文献   

17.
硬石膏常规三轴压缩下强度和变形特性的试验研究   总被引:2,自引:1,他引:1  
郭印同  杨春和 《岩土力学》2010,31(6):1776-1780
采用伺服刚性试验机对硬石膏进行了不同围压下的常规三轴试验,研究了硬石膏的强度和变形特性。结果表明,在低围压下硬石膏破坏方式为剪切破坏;在围压超过10 MPa时,硬石膏表现出明显的塑性流动特性。观察试验后试样发现,在围压为18 MPa时,硬石膏已经没有明显的破坏面,而是表现出明显的膨胀现象。硬石膏的峰值强度与围压近似成正比例关系。分析了峰值应变、弹性模量随围压的变化规律,其结果表明:随着围压的升高,硬石膏的的峰值应变与弹性模量均逐渐增加。根据三轴试验结果绘制了摩尔包络线,采用回归分析得到了强度准则和抗剪强度参数c、? 值,其研究结果可为地下工程提供参考与借鉴。  相似文献   

18.
秦尚林  杨兰强  陈荣辉  陈善雄 《岩土力学》2014,35(11):3086-3092
为进一步弄清颗粒破碎对软岩粗粒料强度、变形的影响,开展2组不同初始干密度下的绢云母片岩粗粒料的固结排水三轴试验,分析了绢云母片岩粗粒料颗粒破碎规律,并探讨了颗粒破碎对绢云母片岩粗粒料力学性质的影响。结果表明,绢云母片岩粗粒料相对破碎率随围压的增加而增大,但颗粒破碎增幅速率受初始干密度影响较大,颗粒破碎与围压之间的关系可用线性关系描述;由于初始孔隙率的影响,使得试样在同一应力水平下高密度试样颗粒破碎明显高于低密度试样;颗粒破碎对高密度试样抗剪强度降低的影响高于低密度试样,导致两种干密度试样的应力-应变曲线在某处出现相交,最终出现初始密度低的试样抗剪强度大于初始密度高的试样抗剪强度的现象;高密度试样孔隙率较小,其剪胀因子一直保持在1附近,而低密度试样孔隙率较大,受颗粒破碎和剪胀的影响迟缓一些,低密度试样体变较高密度要大些,但整体上由于颗粒破碎和剪胀的影响,绢云母片岩粗粒料的体变均不大。  相似文献   

19.
Fissures in natural rocks play an important role in determining the strength, deformability and failure behavior of rock mass. However in the past, triaxial compression experiments have rarely been conducted for rock materials containing three-dimensional (3-D) fissures and the failure mechanical behavior of fissured rocks is not well known due to the difficulty of conducting triaxial experiments on fissured rocks. Therefore in this research, conventional triaxial compression experiments were performed to study the strength, deformability and failure behavior of granite specimens with one preexisting open fissure. Thirty-one specimens were prepared to perform conventional triaxial compression tests for intact and fissured granite. First, based on the experimental results, the effects of the confining pressure and the fissure angle on the elastic modulus and the peak axial strain of granite specimens are analyzed. Second, the influence of the confining pressure on the crack damage threshold and the peak strength of granite with respect to various fissure angles are evaluated. For the same fissure angle, the crack damage threshold and the peak strength of granite both increase with the confining pressure, which is in good agreement with the linear Mohr–Coulomb criterion. With increasing fissure angle, the cohesion of granite first increases and later decreases, but the internal friction angle is not obviously dependent on the fissure angle. Third, nine crack types are identified to analyze the failure characteristics of granite specimens containing a single fissure under conventional triaxial compression. Finally, a series of X-ray microcomputed tomography (CT) observations were conducted to analyze the internal damage mechanism of granite specimens with respect to various fissure angles. Reconstructed 3-D CT images indicate obvious effects of confining pressure and fissure angle on the crack system of granite specimens. The study helps to elucidate the fundamental nature of rock failure under conventional triaxial compression.  相似文献   

20.
It is of great significance for the analysis and prediction of coal-gas outburst disasters to understand the mechanical properties and permeability evolution of coal and rock under conditions of stope stress evolution. In this study, mechanical tests were conducted on gas-bearing coal under four stress paths, including conventional triaxial compression (CTC), phased variable speed triaxial compression (PVSTC), unloading confining pressure (UCP), and phased variable speed unloading confining pressure (PVSUCP), simultaneously measuring the permeability in mechanical tests. The mechanical properties and permeability evolutions in gas-bearing coal under four different stress paths were compared. The obtained results show that the deviatoric stress-strain curves of gas-bearing coal under four stress paths could be divided into five stages: compaction, linear elasticity, plastic deformation, stress drop, and residual stress stage. The permeability-strain curves under four stress paths could also be divided into five stages: fast drop, slow decrease, slow increase, sharp increase, and slowed growth. Compared to the CTC conditions, the peak strain and strength of coal under PVSTC conditions increased. Furthermore, the stress drop and energy release under PVSTC were more intense at the moment of instability failure. Compared to both loading paths, the coal was damaged more rapidly under unloading paths and the damage was stronger. Additionally, among both unloading paths, the time required for the failure of coal under PVSUCP was shorter than that under UCP, while the damage under PVSUCP was stronger. The strength characteristics of the gas-bearing coal under PVSTC and PVSUCP still met the Mohr–Coulomb criterion. This preliminary study has guiding significance for the understanding of the co-occurrence mechanisms of coal-gas outburst disasters.  相似文献   

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