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首页> 外文会议>Asia-Pacific Conference on Shock amp; Impact Loads on Structures; 20031112-14; Changsha, Hunan,(CN) >EFFECTS OF MULTIPLE PARALLEL FRACTURES WITH LINEAR DEFORMATIONAL BEHAVIOUR ON SMALL-AMPLITUDE ONE-DIMENSIONAL P-WAVE ATTENUATION
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EFFECTS OF MULTIPLE PARALLEL FRACTURES WITH LINEAR DEFORMATIONAL BEHAVIOUR ON SMALL-AMPLITUDE ONE-DIMENSIONAL P-WAVE ATTENUATION

机译：线性变形行为的多个平行断裂对小振幅一维P波衰减的影响

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摘要

Waves propagating across fractured rock masses are attenuated due to the presence of fractures. The paper presents a theoretical study on small-amplitude one-dimensional P-wave attenuation across multiple parallel fractures with linear deformational behavior. Combined with displacement discontinuity theory, where the linear model is adopted in this chapter, the method of characteristics is used to develop a set of recurrence equations with respect to particle velocities and stresses before and after fractures. Then, these equations are numerically solved with sufficient accuracy. The magnitude of transmitted coefficient |T_N| is a function of nondimensional fracture spacing ξ - ratio of fracture spacing to the wavelength, normalized stiffness K and number of fractures N. Two important indices of ξ , threshold value ξ_(thr) and critical value ξ_(cri), are identified and they divided the area of ξ into three parts: individual-fracture area, transition area and small-spacing area. In different areas, tendencies of |T_N| with ξ and N are different. Furthermore, Values of ξ_(thr). and ξ_(cri) vary with K and N.
机译：由于存在裂缝，在裂隙岩体中传播的波将被衰减。本文对跨线性变形行为的多个平行裂缝中的小振幅一维P波衰减进行了理论研究。结合位移不连续性理论（本章采用线性模型），使用特征方法开发了一组关于断裂前后的颗粒速度和应力的递推方程。然后，以足够的精度对这些方程进行数值求解。传输系数的大小| T_N |是无量纲裂缝间距ξ的函数-裂缝间距与波长的比率，归一化刚度K和裂缝数N。确定了ξ的两个重要指标，即阈值ξ_（thr）和临界值ξ_（cri）。将ξ的面积分为三个部分：单个断裂区域，过渡区域和小间距区域。在不同区域，| T_N |的趋势。与ξ和N不同。此外，ξ_（thr）的值。和ξ_（cri）随K和N变化。

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