The influence of fracture effective model to the parameters of coal fracture
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摘要: 本文整理分析了Hudson一阶模型、Hudson二阶模型、Cheng模型、Liu模型、Schoenberg线性滑动模型等五种裂隙等效模型的弹性参数表达式。利用数值模拟的方法,分析了裂隙的纵横波速度、弹性参数随裂隙密度、方位角和孔隙填充性质的变化规律,得出了Hudson一阶模型、Hudson二阶模型和Cheng模型的适用条件与适用范围,以及Liu模型与Schoenberg模型的差异性。模拟结果表明:在裂隙密度小于0.05时,Hudson一阶模型和Hudson二阶模型都是有效的;在裂隙密度小于0.1时,Hudson二阶近似的相应特征与Cheng模型相同;在裂隙密度大于0.15以后,Hudson二阶近似开始出现无意义的发散;Liu模型和Cheng模型适用于裂隙密度小于等于0.3的介质。相对而言,Liu模型的适应性更好;Schoenberg线性滑动模型对于含水裂隙的反应最为敏感。Abstract: In this paper,the first order model,the Elastic parameter expression of the two order model,the Cheng model,the Liu model,the Schoenberg model and the Hudson linear sliding model are analyzed.Using the numerical simulation method,the authors analyzed velocities of compressional and shear waves,the variations of elastic stiffness modulus respect to the fracture density,the azimuth angle and the fluid properties filled in the pore.The applicable conditions and range of Hudson first order,two order model and Cheng model are compared and analyzed.The difference between Liu model and Schoenberg model is analyzed,too.The simulation results show that the first order and the two order are valid when the fracture density is less than 0.05,and the corresponding features of the Hudson two order approximation are the same as the Cheng model when the fracture density is less than 0.1.But after the crack density is greater than 0.15,the Hudson two order approximation begins to appear divergence in the non-significant.The Liu model and Cheng model are suitable for the medium with less than 0.3 of the fracture density,and the Liu model is better.The Schoenberg linear sliding model is most sensitive to the water saturated fracture.
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