Plane Wave’s Transmission And Reflection In Layered Media With3D Stress

Earth stress can commonly be found in underground, it is great significance tocarry out research of earth stress for geophysical exploration. The transfer matrix inreservoir is important information for optimizing oil and gas of strategy and reducingthe dangers. The paper damages to underground wells for mining, oil and gas fieldsand other areas of abnormal earth stress testing and stress estimate, the researchers hadcarried out theoretical and numerical research which is basing on the theory of acousticelastic.First of all, the third order elastic constants of medium are a very importantparameter in acoustic elastic and nonlinear theoretical researching. This article mainlyresearches the measurement methods with using the measurement method of acousticelastic angle-beam with adding uniaxial stress of Muir (2008,2009), gets measuringmetal third order elastic constants efficient way to improve the measurement of thethird order elastic constants accuracy. It is needed to further research for confirming ofrock.The second, according to crustal stress, the actual formation is more complicated,the influence of3D stress is particularly prominent. This paper is based on the acousticelastic theory, we deduce the transfer stress induced anisotropy field equations,calculate uniaxial and biaxial and3D stress under the action of stress change on theinfluence of the velocity of elastic wave, and analyzed. According to the boundaryconditions of displacement and stress of continuous, this paper researches reflectionand transmission of plane wave for a solid-solid boundary. We assume that the incidentplane is consistent with the principal stress axis in the research, and the staticdeformation is uniform to be complacent of the static boundary conditions.Investigating and analysing that coefficient of energy under uniaxial, biaxial and3Dstress reflection and transmission and the size of the critical angle.Phase velocity numerical simulation results show that the stress not onlyinfluence the phase velocity change size, but also change the phase velocity of surface shape. Numerical simulation of reflection and transmission coefficient shows thatunder the effect of different stress, the stress not only changes the energy distribution,but also influences the critical Angle. Range especially in3D stress under the action ofsingle shaft, with the change of energy coefficient of biaxial conditions, on the otherhand, for we offer can get complicated stress information.Finally, in acoustic logging, the casing well problem has always been a researchfocus of scholars. We can put a hole-casing-cement-stratigraphic in the highfrequency incident cases approximation for multilayer medium, to find a solution tothe elastic wave transmission of the information in it. In layered medium in thenumerical study of sound wave reflection and refraction, use the middle tier solid thecorresponding transfer matrix and the boundary conditions between adjacent layers,get contact multi-layer medium system interface matrix expressions of mechanicalquantity up and down.Numerical simulation shows that the size of the frequency can be folded in half,the energy coefficient of transmission and reflection and critical angle have influence.This paper lays the foundation for the issue of underground stress layer.