方位各向异性粘弹性介质波场数值模拟

当地震信号通过复杂地球介质时,地层除了表现为各向异性,还表现为内在的粘弹性特征.因此,为准确描述地震波在地球介质中的传播特征,理想的地球介质模型应该能够模拟岩石的各向异性特征和衰减特征.本文给出了各向异性粘弹性介质模型的波动方程及其差分格式,并利用有限差分法实现了地震波波场数值模拟.结果表明了该介质模型中地震波场特征与各向异性主轴方位和介质的粘滞性参数之间的关系.     

Harmonic wave propagation through viscoelastic heterogeneous media exhibiting mild stochasticity - I. Fundamental solutions

This work examines the propagation of time harmonic, horizontally polarized shear waves through a naturally occurring heterogeneous medium that exhibits viscous behaviour as well as random fluctuations of its elastic modulus about a mean value. As a first step, the governing equation, which is a heterogeneous Helmholtz equation, is solved using algebraic transformations and the relevant Green's function is obtained for two sets of boundary conditions, one corresponding to a finite depth layer and the other to an infinite layer. Viscous material behaviour is introduced by considering the depth-dependent elastic modulus to be a complex quantity. Subsequently, material stochasticity in the medium is handled through the perturbation approach by assuming that the elastic modulus has a small random fluctuation about its mean value. The final results are closed-form expressions for the mean value and covariance matrix of both the wave speed profile in the medium and the corresponding Green's function. In Part II, (Soil Dynam. Earth. Engng, 1996,15, 129-39), two examples concerning seismic wave propagation in soft topsoil and in sandstone serve to illustrate the methodology and comparisons are made with Monte Carlo simulations.     

初期支护对软岩隧道围岩稳定性和位移影响分析

软弱岩体隧道开挖后,围岩变形具有异常显著的流变性。基于Poyting-Thomoson模型,对隧道围岩位移进行了粘弹性解析分析,根据所得出的解析解,结合渝（重庆）沙（长沙）高速公路石龙隧道位移监控量测实践,对初期支护后隧道围岩变形特征量进行了分析对比,结果表明,理论曲线能较好地反映围岩实际位移变化特征。最后通过将支护前后围岩受力状态与单轴和三轴应力状态岩石蠕变进行类比,得知初期支护在一定程度上减小了围岩的最终变形量,可以有效地抑制隧道围岩的变形速率。其结果为确定合理的二次支护时机提供了理论依据,对同类隧道的施工支护具有很好的指导意义和较高的参考价值。