Research on P-wave dispersion and attenuation of propagating in the direction of paralleling to a periodically layered fluid saturated porous medium model
Research on P-wave dispersion and attenuation of propagating in the direction of paralleling to a periodically layered fluid saturated porous medium model
Seismic wave propagation in porous media has always been a research hotspot and difficult problem in the field of oil and gas seismic exploration.This scientific problem stems from the coupling between fractures,pores,caves and rock skeletons at different scales,resulting in complex seismic wave field characteristics.At present,the relevant research mainly focuses on exploring the propagation mechanism of seismic waves in porous media and the characteristics and changes of seismic response,including the more accurate mathematical physical description and numerical realization of seismic wave propagation in complex porous media.Most geophysicists have focused on the seismic wave dispersion and attenuation of seismic waves incident perpendicular to the stratigraphic level,ignoring the prevalence of seismic waves in the real Earth medium being incident at any angle(direction)and propagating.On the basis of the previous research,the innovation of this paper is to extend the incidence direction of P-wave to parallel to the plane direction of the periodically layered porous medium model with the fluid saturation.Aiming at the periodically layered porous medium model of fluid saturation,a new model of Mesoscopic Wave-Induced Fluid Flow(WIFF)on P-wave dispersion,attenuation and frequency-dependent anisotropy incident parallel to the plane direction in fluid saturated porous layered media is proposed.The quasi-static Biot porous elastic equation is used to derive the analytical expressions of the physical quantities such as pore pressure,fluid flow velocity,average stress and average strain of the model,and then the accurate analytical solution of the complex P-wave modulus of the periodically layered porous medium saturated by fluid saturation is obtained.Then,the characteristics of P-wave velocity dispersion,attenuation and frequency-dependent anisotropy are discussed by using complex P-wave modulus,and the effects of background porosity and permeability on P-wave velocity dispersion and inverse quality factors are discussed,and theoretical research and numerical experiments clarify the seismic response characteristics and propagation rules of P-wave when it propagate parallel to the plane direction in this type of medium.
关键词
介观波致流/流体饱和的周期性层状孔隙介质模型/纵波频散和衰减/纵波频变各向异性
Key words
Mesoscopic Wave-Induced Fluid Flow(WIFF)/Periodically layered porous medium model with fluid saturation/P-wave dispersion and attenuation/P-wave frequency-dependent anisotropy