岩体中应力波幅值随时空衰减的关系

把岩石抽象为Kelvin-Voigt黏弹性体，应用复数理论建立了应力波在岩石中传播时的振动频率和波动频率的关系，在此基础上，研究了岩石和含有一组平行结构面的岩体中应力波幅值随时间和随空间衰减的关系。研究表明，应力波在岩石的传播过程中，频率是影响应力波幅值衰减的的主要因素；应力波在含有1组平行结构面岩体的传播过程中，由于结构面的存在，影响了应力波能量的传播，其幅值随时空衰减系数主要由结构面间距及其反射系数决定，结构面间距减小和反射系数增加，幅值随传播距离的衰减系数增加和随时间的衰减系数减小，而结构面的黏性系数增加，幅值随传播距离的衰减系数增加，但随时间的衰减系数变化很小。上述结论对岩体结构探测具有重要的指导意义。

A study of time-and spatial-attenuation of stress wave amplitude in rock mass

The relation between wave frequency and vibration frequency in Kelvin-Voigt viscoelastic medium was studied by applying the plural theory. The time- and spatial- attenuation of wave amplitude was studied in rock and rock mass with a series of parallel interfaces. The study indicated that the attenuation of stress wave amplitude was mainly decided by vibration frequency of stress wave. Stress wave energy was influenced by interface in rock mass with a series of parallel interfaces. And the time- and spatial- attenuation of stress wave amplitude is decided by distance and reflection coefficient of interface. The decrease of distance of interfaces and the increase of reflection coefficient resulted in increase of spatial-attenuation of rock mass and decrease of time-attenuation, while increase of viscosity coefficient led to the increase of spatial-attenuation and almost the same time-attenuation. This study result played an important role in detecting rock mass structure.