In a fluid-saturated porous formation, acoustics and electromagnetic waves are coupled based on Pride seismoelectric theory. An exact treatment of the nonaxisymmetric seismoelectric field excited by acoustic multipole sources is presented. The frequency wavenumber domain representations of the acoustic field and associated seismoelectric field due to acoustic multipole sources are formulated. The full waveforms of acoustic waves and electric and magnetic fields in the time domain propagation in borehole are simulated by using a discrete wave number integration and frequency versus axial-wave number responses are presented and analyzed.

The property of acoustic guided waves generated in a fluid-filled borehole surrounded by a non-Newtonian (Maxwell) fluid-saturated porous formation with a permeable wall is investigated. The influence of non-Newtonian effects on the acoustic guided waves such as Stoneley waves, pseudo-Rayleigh waves, flexural waves, and screw waves propagation in a fluid-filled borehole is demonstrated based on the generalized Biot–Tsiklauri model by calculating their velocity dispersion and attenuation coefficients. The corresponding acoustic waveforms illustrate their properties in the time domain. The results are also compared with those based on generalized Biot’s theory. The results show that the influence of non-Newtonian effects on acoustic guided waves, especially on the attenuation coefficients of guided waves propagation in borehole is noticeable.

推广Biot-Tsiklauri声学模型的同时借鉴Dvorkin和Nur的工作，建立具有任意孔径分布的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BISQ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．