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裂缝介质的有效弹性常数

Effective elastic constant of fractured medium.

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【作者】 刘恩儒曾新吾

【Author】 Liu Enru and Zeng Xinwu.Liu Enru, Department of Application Physics, National University of Defence Technology, Changsha City, Hunan Province, 410073, China

【机构】 英国地质调查局长沙工学院应用物理系

【摘要】 目前研究平行裂缝或定向裂纹对地震波传播影响的常用模型有三种 :1具有平面分布的细小、孤立的滑移面或裂纹的裂缝模型 ;2具有平面分布的、非连续接触的裂纹的裂缝模型 ;3把平面界面当作由黏性液体或软材料组成的连续薄层的裂缝模型。本文从较普遍的理论出发 ,导出了裂缝介质中柔度系数的解析表达式 ;利用这些解析式计算了上述三种模型的有效裂缝柔度系数和刚度系数 ,并证明上述三种模型均可归结到统一的表达形式。研究还表明 ,当已知裂缝表面一些信息时 ,就可将宏观测得的柔度系数直接与裂缝的微观结构特征联系起来

【Abstract】 Existing common used fractured models are three types when studying effect of parallel fracture or oriented fracture on seismic wave propagation: ① fracture model having a small, isolate sliding surface or cracks with plane distribution; ② fracture model having non continuous contacting cracks with plane distribution; ③ fracture model putting plane interface as a continuous thin layer consisting of viscous liquid or soft material. Starting directly from more common theory, we deduced analytic expressions of coefficients of softness in fractured material. The effective fractured coefficients of softness and stiffness of three above mentioned models has been calculated by using these analytic expressions and it has been proved that three above mentioned models can be integrated into results of the paper. Our studying results show hat macroscopically measured coefficients of softness can be directly connected with microscopic structural feature of fracture when information on surface of fracture has been known.

【关键词】 等效介质理论地震波裂缝模型
【Key words】 equivalent medium theoryseismic wavefracturemodel
【基金】 国家自然科学基金!资助项目 (批准号 :4 970 4 0 54)
  • 【文献出处】 石油地球物理勘探 ,Oil Geophysical Prospecting , 编辑部邮箱 ,2001年01期
  • 【分类号】P631
  • 【被引频次】40
  • 【下载频次】402
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