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含多种尺寸缺陷岩体中的弹性波散射
引用本文:谭子翰,徐松林,刘永贵,席道瑛.含多种尺寸缺陷岩体中的弹性波散射[J].应用数学和力学,2013,34(1):38-48.
作者姓名:谭子翰  徐松林  刘永贵  席道瑛
作者单位:1中国科学技术大学 中国科学院材料力学行为和设计重点实验室, 合肥 230027;2洛桑联邦理工大学 环境、建筑与土木工程学院岩石力学实验室,1015 洛桑 瑞士;3中国科学技术大学 蒙城地球物理国家野外观测站 地球和空间科学学院, 合肥 230026
基金项目:国家自然科学基金资助项目
摘    要:研究了含多种尺寸扁平椭圆缺陷的岩体中弹性波散射规律.细观上应用Green函数方法,考虑了入射波与基本的扁平椭圆缺陷相互作用,宏观上采用线性叠加原理,得到了缺陷岩体的频散和衰减规律.频散曲线中特征频率与裂纹尺寸负相关.含几种不连续尺寸裂纹的岩体中其频散曲线呈"阶梯跳跃"形,其衰减曲线也有不同的峰值;而含"均匀分布"与"正态分布"裂纹尺寸的岩体,与含单一尺寸缺陷的岩体相比,其频散曲线具有较宽的特征频率段.结合两个声波测试实例,讨论了这一理论模型的合理性与可行性.

关 键 词:缺陷岩体    频散效应    多种尺寸缺陷    特征频率    Green函数
收稿时间:2012-07-24

Scattering of Elastic Waves by Multi-Size Defects in Rock Mass
Affiliation:1CAS Key Laboratory of Mechanical Behavior and Design of Materials,University of Science and Technology of China,Hefei 230027, P.R.China;2Ecole Polytechnique Federale De Lausanne (EPFL), School of Architecture,Civil and Environmental Engineering, Laboratory of Rock Mechanics (LMR),1015 Lausanne, Switzerland;3Mengcheng National Geophsical Observatory, School of Earth and Space Science,Univesity of Science and Technology of China, Hefei 230026, P.R.China
Abstract:Scattering laws in rock mass which contained flat ellipse crack was researched. The Green function method was presented at mesoscopic scale; linear superposition idea was applied into this model to get wave velocity dispersion and attenuation coefficient at macroscopic scale. The characteristic frequency in frequency dispersion curve is negative correlation with crack size. It had been discovered that a Ladder jump pattern could be presented in frequency dispersion curve if rock mass contains discontinuous size crack, while its characteristic frequency region would be widened if the crack size continues to distribute, such as uniform distribution or Gauss distribution. With two acoustic testsc combined, the rationality and feasibility of this theoretic model is been discussed.
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