基于Biot-喷射流统一模型Maxwell流体饱和孔隙介质中的弹性波  

Elastic waves in Maxwell fluid-saturated porous media with the squirt flow mechanism

作　　者：崔志文[1] 刘金霞[1] 王春霞[1] 王克协[1] 

机构地区：[1]吉林大学物理学院,长春130012

出　　处：《物理学报》2010年第12期8655-8661,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:40974067;40674059;10534040);声场声信息国家重点实验室研究基金(批准号:200807)资助的课题~~

摘　　要：推广Biot-Tsiklauri声学模型的同时借鉴Dvorkin和Nur的工作,建立了具有任意孔径分布并顾及喷射流动机制的非牛顿流体饱和孔隙介质声学模型,研究了非牛顿流体(Maxwell流体)饱和孔隙介质中的弹性波的衰减和频散特性.着重讨论充孔隙Maxwell流体的非牛顿流效应对弹性波的频散和衰减的影响.研究表明,饱和流体的非牛顿流效应和喷射流动机制均是引起弹性波波频散和衰减的重要因素.依据非牛顿流体(Maxwell流体)饱和各向同性孔隙介质的Biot-喷射流声学模型,喷射流动只影响纵波的频散和衰减,而饱和流体的非牛顿流效应不仅影响纵波,而且还影响横波的频散和衰减.Based on Biot-Tsiklauri model and the combined Biot /squirt model,a universal acoustic model for non-Newtonian fluid（Maxwell fluid） saturated porous medium with an arbitrary pore size distribution is presented,in which the squirt-flow mechanism has been taken into account.The influences of non-Newtonian effect of Maxwell fluid on the attenuation and the dispersion characteristics of elastic waves propagating in such a porous medium are investigated.It shows that the non-Newtonian effect and the squirt-flow effect are the important factors for elastic wave dispersion and attenuation.When the squirt flow mechanism occurs,the squirt flow mechanism dominates the contribution to the energy loss of compressional waves at low frequencies.It shows that the squirt flow only affects the dispersion and the attenuation characteristics of two compressional waves,while the non-Newtonian effect of Maxwell fluid not only affects the dispersion and the attenuation characteristics of the compressional waves,but also influences the dispersion and the attenuation characteristics of shear waves.

关 键 词：孔隙介质 MAXWELL流体 喷射流 弹性波 

分 类 号：P631.4[天文地球—地质矿产勘探]