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基于波前动量守恒理论和位移不连续方法所提出的时域分析新方法,引入岩石非线性法向本构关系,对弹性纵波在岩石非线性节理中的传播特性进行了理论分析。采用节理变形的双曲线模型(BB模型),获得纵波P波斜入射非线性节理的传播波动方程,并通过参数研究分析了在岩石节理中节理非线性系数、节理初始刚度、应力波入射角和入射波幅值等因素对纵波传播规律的影响。结果表明:所推导的应力波传播方程在考虑多种非线性问题时,通过迭代计算即可方便求出透射波和反射波的数值解,避免了复杂的数学运算;当波斜入射节理面时,产生了波型转换,节理变形的非线性对透射波和反射波有较大影响,透射系数和反射系数并非随着非线性参数的变化而单调变化。时域内所推导的波传播方程更有益于波斜入射时非线性参数的广泛研究,为开展该方面的理论研究工作提供了借鉴。
Based on the new method of time-domain analysis proposed by wave-front momentum conservation theory and displacement discontinuity method, nonlinear constitutive law of rock is introduced and the propagation characteristics of elastic longitudinal wave in nonlinear rock joints are analyzed. By using the hyperbolic model of joint deformation (BB model), the propagation wave equation of oblique P-wave oblique incident non-linear joints is obtained and the nonlinear joint coefficients, initial stiffness of joints, incident angle of stress waves and Incident wave amplitude and other factors on the longitudinal wave propagation law. The results show that the numerical solution of the transmitted wave and the reflected wave can be conveniently obtained by iterative calculation when the stress wave propagation equation is deduced for various nonlinear problems, which avoids the complicated mathematical operation. When the wave is obliquely incident on the joint surface , And the wave form conversion is produced. The nonlinearity of the joint deformation has a great influence on the transmitted wave and the reflected wave. The transmission coefficient and the reflection coefficient do not change monotonically with the change of the nonlinear parameter. The wave propagation equation deduced in the time domain is more beneficial to the extensive research of nonlinear parameters when wave is obliquely incident, which provides a reference for carrying out theoretical research in this aspect.