割理对煤岩加载过程能量演化特征影响数值模拟

Numerical simulation of effect of cleats on energy evolution of coal and rock in loading process

  • 摘要: 能量是导致岩样破坏的本质因素,割理发育是煤岩的显著特征,为分析割理对煤岩加载过程能量演化特征的影响,使用RFPA软件对不同割理数量、不同割理密度及不同割理角度3类二维数值模型开展单轴压缩数值模拟试验,使用MATLAB软件计算了数值模型的分形维数用以表征割理结构复杂性,分析了割理数量、割理密度及割理角度对能量应变曲线及破坏点能量的影响,探讨了割理结构复杂性对煤岩能量演化特征的影响。研究表明:以弹性能曲线从“下凹”变为“上凸”的“拐点”为1个分界点,以应力曲线及弹性能曲线的最高点(即试样破坏位置)为另外1个分界点,可将整个加载过程可分为能量聚集、能量耗散与能量释放3个阶段;无论割理在煤岩内部的分布均匀与否,随着试样内部割理总量增多,总能量曲线及弹性能曲线随着加载过程进行而上升的速度越慢,耗散能随轴向应变增大而增大的速度相近,外力只需对试样做功较少即可使得试样破坏,岩石弹性变形所具有势能降低,但用于破坏试样内部结构、产热以及岩石发生运动所消耗的能量基本保持不变;割理角度为0°和90°两种情况下总能量和弹性能随着轴向应变增大而增大的速度最快,60°时总能量和弹性能增大速度最慢,不同割理角度情况下耗散能增大速率无显著规律;随着割理角度逐渐增大,样品总能量及弹性能均先降低后升高,呈现为近似的“U”字型,耗散能先基本保持不变,而后出现小幅增大;总能量及弹性能随着割理结构复杂性增强而减小,耗散能随割理结构复杂性的变化无显著变化;煤岩内割理角度的对其压缩过程能量存储影响最大,割理集中分布对压缩过程能量存储的影响较割理均匀分布显著。

     

    Abstract: Energy is the essential factor leading to the failure of rock samples. Cleat is a remarkable feature of coal and rock. In order to analyze the influence of cleat on the energy evolution characteristics of coal and rock in loading process,three kinds of two-dimensional numerical models with different cleat quantities,different cleat densities and different cleat angles were used to carry out the numerical simulation of uniaxial compression in RFPA. The fractal di- mensions of numerical model were calculated by using MATLAB software to characterize the complexity of cleat structure. The influence of cleat quantity,cleat density and cleat angle on the energy-strain curve and the energy in failure point were investigated. The influence of cleat structure complexity on the energy evolution characteristics of coal and rock was discussed. The results show that the change of point elastic energy curve from “concave” to “convex” can be a dividing point and the highest point of stress curve or elastic energy curve (the failure location of specimen) can be another dividing point,then the whole loading process can be divided into three stages:energy accumulation,energy dissipation and energy release. Whether the distribution of cleats is uniform or not in coal samples,the total energy curve and elastic energy curve increase slowly with the increase of total cleat number in the sample during the loading process,the dissipated energy increases with the increase of axial strain at a similar rate,and the potential energy of e- lastic deformation of samples decreases,but the energy used to destroy the internal structure and generate heat and move rock remains basically unchanged. If cleat angle is 0°and 90°,the total energy and elastic energy increase fastest with the increase of axial strain. If cleat angle is 60°,the total energy and elastic energy increase slowest. There is no obvious law for the increase rate of dissipated energy under different cleat angles. With the increase of cleat angle,the total energy and elastic energy of the sample decrease firstly and then increase,showing an approximate “ U” shape. The dissipated energy keeps basically unchanged firstly,and then increases slightly. The total energy and elastic energy decrease with the increase of cleat structure complexity,while the dissipated energy has no significant change with the change of cleat structure complexity. The cleat angle of coal samples has the greatest impact on energy storage in com- pression process. The centralized distribution of cleats has more significant impact on energy storage than the uniform distribution of cleats.

     

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