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离散介质中地震波传播的本构问题
引用本文:於文辉,张丽琴,王家映,周玉琦.离散介质中地震波传播的本构问题[J].地球科学,2003,28(3):315-322.
作者姓名:於文辉  张丽琴  王家映  周玉琦
作者单位:1.中国地质大学地球物理系, 湖北武汉 430074
基金项目:石油天然气总公司物探重点实验室项目(GPKL0 2 0 2 ),湖北省自然科学基金项目 (No .2 0 0 2AB0 18) .
摘    要:实际地球介质是相当复杂的.基于均匀的、连续介质模型建立的弹性波动理论可能导致对地球结构地震响应的不当解释, 有时可能是错误解释.由于没有更接近实际地球介质模型的波动理论, 许多有用的地震信息因得不到合理解释, 被作为噪音处理了.从等效介质角度来看, 储层介质可以划分为弹性区、粘性区、空白区(空白区是由孔隙、裂隙、结构面产生的介质性质弱化区) 组成的离散介质.在局部平均思想的指导下, 利用区间内聚定理建立起离散(储层) 介质的本构关系, 为建立更接近实际地球介质模型的波动理论提供了力学基础. 

关 键 词:地球介质    连续介质    离散介质    弹性波    本构关系
文章编号:1000-2383(2003)03-0315-08
收稿时间:2002-10-08

Constitutive Problem for Seismic Wave Propagation in Discrete Media
YU Wen-hui,ZHANG Li-qin,WANG Jia-ying,ZHOU Yu-qi.Constitutive Problem for Seismic Wave Propagation in Discrete Media[J].Earth Science-Journal of China University of Geosciences,2003,28(3):315-322.
Authors:YU Wen-hui  ZHANG Li-qin  WANG Jia-ying  ZHOU Yu-qi
Institution:YU Wen-hui1,ZHANG Li-qin1,WANG Jia-ying1,ZHOU Yu-qi2
Abstract:The real geological medium is extremely complicated. Elastic wave theory based on homogeneous and continuous medium model may lead to incorrect explanation of seismic response to geological structure and may even lead to erroneous explanation. Such useful seismic information may be eliminated because it is considered as the noise without an accurate constitutive equation closer to true medium. Natural rock-soil media consist of large porous blocks as a dispersive medium with various gaps, fractures and joint contact surfaces. Hence, that kind of medium is a mixed field of dispersive porous blocks and named "discrete media" by the authors. Among the blocks, pore fluid could run through along all kinds of gaps or surfaces. Also, in the porous blocks, the oil could be filled in pores. Therefore, a global mathematical model of constitutive relation is derived in this paper to simulate the wave propagation in the discrete media. 
Keywords:geological medium  continuous medium  discrete media  elastic wave  constitutive relation
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