Theoretical research on the pendulum-type wave in nonlinear block-rock mass based on hyperbolic elastic model
Theoretical research on the pendulum-type wave in nonlinear block-rock mass based on hyperbolic elastic model
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DOI：
10.1007/s12517-021-09299-y
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发表时间：
2022-01
影响因子：
--
通讯作者：
K. Jiang;Chengzhi Qi;Chenmeng Ji
中科院分区：
文献类型：
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作者：
K. Jiang;Chengzhi Qi;Chenmeng Ji
摆型波是一种存在于深部岩体中的具有非连续性和非线性特征的符号交替波，它不同于传统的连续弹性波。深部岩体中频繁出现岩爆、异常低摩阻现象等新的动力工程灾害，研究岩爆型波对解释这些工程灾害的机理和防治具有重要意义。针对深部岩体的非线性变形特征，引入双曲弹性模型，建立了块体-岩体中的非线性介质波动力学模型，研究了其时域特征、频域特征和能量传递规律。此外，还研究了初始地应力对非线性块体-岩体中的类波传播的影响。研究表明，改进后的模型不仅能反映块体-岩体的非线性变形，而且能限制岩块间裂隙的最大压缩变形。在小冲击荷载和强冲击荷载作用下，非线性块体中的加速度具有完全不同的规律。随着初始地应力的增大，位移幅值近似呈指数形式减小。因此，我们预测在超高应力状态下，块体岩体中不会发生纵波型波动现象，波的传播接近纵波。本文为进一步研究非线性、强冲击、高初始地应力条件下块状岩体中的行波传播提供了良好的参考。
Pendulum-type wave is a kind of sign-alternating wave with discontinuous and nonlinear characteristics found in deep rock mass, which is different from the traditional continuum elastic waves. The new dynamic engineering disasters such as rockbrusts and anomalously low friction phenomenon occur frequently in deep rock mass, and the study of pendulum-type wave is of great significance for explaining the mechanism and prevention of these engineering disasters. Aiming to the nonlinear deformation characteristics of deep rock mass, a nonlinear dynamic model of pendulum-type wave in block-rock mass is established by introducing hyperbolic elastic model, and the time-domain characteristics, frequency-domain characteristics, and the law of energy transfer are studied. Furthermore, the influence of initial geostress on pendulum-type wave propagation in nonlinear block-rock mass is studied. The research shows that the improved model can not only shows the nonlinear deformation of block-rock mass, but also limits the maximum compression deformation of cracks between rock blocks. Under the action of small impact loading and strong impact loading, the acceleration in nonlinear block-rock mass has completely different rules. With the increase of initial geostress, the displacement amplitude decreases in approximate exponential form. Therefore, we have made a prediction that in the ultra-high stress state, the pendulum-type wave phenomenon will not occur in block-rock mass, and the wave propagation is close to the longitudinal wave. This paper provides a fine reference for further study on pendulum-type wave propagation in block-rock mass under the conditions of nonlinear, strong impact, and high initial geostress.