Biot介质密度参数的容差密度表达  

Expressions of Density Parameters of Biot Medium with Differential Density

作　　者：牛滨华[1] 孙晟[1] 孙春岩[2] 黄新武[2] 李佳[1] 

机构地区：[1]中国地质大学地球物理与信息技术学院 [2]中国地质大学工程技术学院,北京100083

出　　处：《现代地质》2007年第3期551-555,共5页Geoscience

基　　金：国家自然科学基金项目(49974028;40474043);国家"863"计划项目(2002AA615040;2001AA611020-02)

摘　　要：探讨了Biot介质密度参数的表达形式。首先给出Biot介质地震波场的基本方程;然后基于动能方程,分别得到了开放边界条件和闭合边界条件的密度,进而用这两个密度的差值定义了"容差密度",容差密度突出了孔隙介质宏观的平均状态,回避了孔隙形态等细节问题,在此基础上推导出Biot介质密度参数的容差密度表达形式;最后对密度参数的表达式进行了分析讨论,深化了Biot介质密度参数的认识,特别指出耦合密度的负值性是动能的非负性和惯性力的平衡关系所约束的结果。This paper involves a discussion about the expressions of density parameters of the Biot medium. Firstly, it gives the field equations of seismic wave propagation in the Biot medium. Secondly, it defines the differential density by the difference between two densities of the Biot medium under open-pore and close-pore conditions, and these densities are derived from the kinetic energy equations. This differential density emphasizes the average macroscopical state of porous media and avoids the details about the pore shape. Lastly, the expressions of density parameters of the Biot medium in terms of the differential density are presented in this paper. The discussion about these expressions that deepens the understanding of these densities especially points out that the negative feature of the coupling density is the result of the restriction between the negative feature of the kinetic energy and the equilibrium of inertial forces.

关 键 词：Biot介质 密度参数 容差密度 耦合密度 

分 类 号：P631.4[天文地球—地质矿产勘探]