Research And Application Of The Acoustic Goos-H(?)nchen Effect In Liquid-solid Interface Under Real Displacement Model

An important application of acoustic wave in seismic exploration is to use its propagation,reflection,and refraction to study the stratigraphic structure in the crust and find oil and gas reservoirs.Acoustic logging usually uses logging data to invert physical properties and stratigraphic structure in the vicinity of the borehole.Seismic exploration uses seismic exploration data to invert the physical properties and stratigraphic structure of the underground rock in an area.The AVO analysis is one of the important methods for inversing the real physical mechanism of formations and finding oil and gas reservoirs by using seismic exploration data.The essence of AVO analysis is the analysis of the phase spectrum and amplitude spectrum of the reflection coefficient of acoustic waves incident on the interface of subsurface rock formations.The reflection or refractive index is crucial for the forward modeling of seismic exploration and acoustic logging,as well as the inversion of seismic exploration data and acoustic logging data.Nowadays,the seismic reflection waves incident on the medium interface at the medium and small angles are mostly studied.However,the researches on the wide-angle reflections at large angles of incidence(incident angles greater than the critical angle of incidence)are rare and immature.The reflection coefficient of the wide-angle reflected wave is changed from real number to complex number,and the Acoustic Goos-H(?)nchen effect will be generated on the interface.This will certainly affect the accuracy of the traditional AVO analysis and invert the seismic exploration data.Cause a certain amount of error.In this thesis,the physical model of the P-wave oblique incident to the solid-solid interface of an isotropic medium is established,and the expression of the reflection or refractive index is deduced,and the correctness of the obtained reflection or refractive index is verified by the power flow density.The simulation analysis is performed as the incident angle changes.When the acoustic incident angle is greater than the critical angle of incidence,the reflection coefficient of the wide-angle reflected wave will produce an additional phase,and there is an acoustic Goos-H(?)nchen effect.Lateral displacement will be obtained by adding the phase in the spatial domain and the time domain.With the transit time,the lateral displacement and transit time under single-tone acoustic signals were simulated and analyzed.A virtual lateral displacement and true lateral displacement seismic exploration model under the circumstance of Ricker wavelet omnidirectional radiated acoustic sound source signals was established.The time-depth waveforms at the receiving end,transit time,and transit time under different media interfaces were simulated and analyzed.The relationship between the conversion and the incident angle is compared,and the virtual and real lateral displacement models are compared with the traditional sliding refracted wave model.Through the above simulation analysis of the reflection coefficient of the wide-angle reflected wave and the transit time,some important conclusions have been drawn.The size and phase of the reflection or refractive index are not only related to the incident angle,but also closely related to the physical parameters of the media on both sides of the incident interface.The lateral displacement and transit time under single-frequency acoustic signals are not only related to the incident angle,but also inversely proportional to the frequency,and they all have large changes in the critical angle of incidence and in the vicinity.For the Ricker wavelet incidence,under the virtual lateral displacement model,the transit time is more obvious at the critical angle and near than the single-frequency incidence,and the time-depth conversion error reaches tens of meters to the upper one with the increase of the incident angle.In the real lateral displacement model,the complex superposition of many frequency components with different phases and amplitudes will make the transit time curve appear in a fluctuating form,and the fluctuations are most obvious in the vicinity.At this time,the time depth conversion error increases from a few meters to hundreds with geometric angles.Meter.The virtual and real lateral displacement models are compared with the traditional gliding refracted wave model respectively.It is concluded that the traditional gliding refracted wave near the critical angle can be used to approximate the propagation speed of the acoustic signal in the medium,but cannot be used in the region far from the critical angle.Indicates the actual speed of the sound signal in the medium.The research results show that the acoustic Goos-H(?)nchen effect produced by the wide-angle reflected wave does affect the accuracy of the traditional AVO analysis,and the error caused by the time-depth conversion in seismic exploration reaches tens of meters or more,but it is not yet certain.Which of the two models,the virtual lateral displacement model and the real lateral displacement model,is more in line with the actual seismic exploration model? The research in this thesis provides a feasible theoretical basis for the accurate AVO analysis and subsequent experimental verification of the Acoustic Goos-H(?)nchen effect.