基于临界孔隙度模型的地震波传播  

Seismic wave propagation based on critical porosity model

作　　者：郭继亮[1] 牛滨华[1] 孙春岩[2] 刘畅[1] 

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

出　　处：《地球物理学报》2012年第11期3813-3820,共8页Chinese Journal of Geophysics

基　　金：地下信息探测技术与仪器教育部重点实验室(中国地质大学北京)资助;国家自然科学基金项目(40874052)资助

摘　　要：基于岩石物里学中临界孔隙度模型,建立一种简洁的均匀弹性流体饱和孔隙介质模型,进行地震波传播研究.首先定义了构建目标模型的基本力学模型:介绍了全孔隙度区间内基本力学模型和目标孔隙介质的含义,其中基本力学模型除了完全弹性固体模型S和完全弹性流体模型F还包括临界孔隙模型C.然后通过等效力学模型推出了目标力学模型介质本构关系的组分表达形式.文中分别通过直接求取弹性参数的表达形式和运用应力应变关系两种方法得到介质模型的本构关系,进而得到该模型波动方程的组分表达形式.最后对这种介质模型进行了地震波传播的数值模拟,结合模拟结果分析孔隙对地震波传播的影响.A novel fluid saturated heterogeneous elastic porous media model was proposed based on the critical porosity model. It was used to study the seismic wave propagation in saturated porous media. Firstly, the target mechanical model and basic elements to construct it were introduced. The basic element contained critical porosity element C, beside elastic solid element S and elastic fluid model F. Then, the component form of constitutive relation of target porous media was derived. The constitutive relation^s component forms were derived in two ways. from the component form of elastic parameters in stiffness tensor and from the stress-strain relation in the porous media. With this constitutive relation, wave equation in this porous media was obtained. Finally, wave propagation in this model was simulated with FDTD method, and the effect of porosity was discussed.

关 键 词：临界孔隙度模型 等效力学模型 本构关系 地震波速度 

分 类 号：P631[天文地球—地质矿产勘探]