旋转轴对称弱各向异性介质模型的射线追踪方法

Ray tracing is a rapid and effective method for wave field calculation. Not only in the field of seismic-wave theory, but also in the field of seismic inversion and migration imaging,the seismic ray tracing method has become one of the most important methods. In anisotropic media, group velocity and phase velocity have different propagation directions. The seismic wave propagates along the direction of group velocity , it does not depend on the direction of phase velocity. Ray angle is a complex function with respect to phase angle, it is difficult to measure and calculate. But most rocks are weak anisotropic, so the expression of phase velocity can be simplified greatly. Based on the approximate expression of phase velocity this thesis for rotating axisymmetric weak anisotropic media deduces an expression of the partial derivative of phase velocity and an expression of group velocity with the method of linear approximation. This paper uses the fourth order Runge-Kutta method together with the two-dimensional interpolation and linear interpolation to obtain the parameters of the physical locations. At last the paths of seismic wave in rotating axisymmetric weak anisotropic media are computed. According to the analysis of the computational results, it indicates that the method developed in this paper has strong adaptability, high computational efficiency and high accuracy for rotating axisymmetric weak anisotropic media.

VSP克希霍夫法多波联合成像

Geophones being inside the well, VSP can record upgoing and downgoing P waves, upgoing and downgoing S waves simultaneously.Aiming at overcoming the shortages of the known VSP velocity tomography , attenuation tomography , inverse Q filtering and VSP image method , this article mainly do the following jobs:CD; I do the common-source-point raytracing by soving the raytracing equations with Runge-Kutta method, which can provide traveltime , raypath and amplitude for VSP velocity tomography , attenuation tomography and VSP multiwave migration.(D. The velocity distribution can be inversed from the difference between the computed traveltime and the observed traveltime of the VSP downgoing waves. I put forward two methods: A. VSP building-velocity tomography method that doesn't lie on the layered model from which we can derive the slowness of the grids' crunodes . B. deformable layer tomography method from which we can get the location of the interface if the layer's velocity is known..(3). On the basis of the velocity tomography , using the attenuation information shown by the VSP seismic wave , we can derive the attenuation distribution of the subsurface. I also present an algorithm to solve the inverse Q filtering problem directly and accurately from the Q modeling equation . Numerical results presented have shown that our algorithm gives reliable results . ?. According to the theory that the transformed point is the point where the four kinds of wave come into being , and where the stacked energy will be the largest than at other points . This article presents a VSP multiwave Kirchhoff migration method . Application on synthetic examples and field seismic records have shown that the algorithm gives reliable results . (5). When the location of the interface is determined and the velocity of the P wave and S wave is known , we can obtain the transmittivity and reflection coefficient 5 thereby we can gain the elastic parameters . This method is also put into use derive good result.Above all, application on models and field seismic records show that the method mentioned above is efficient and accurate .

高斯束偏移的方法及应用

Gaussian beam is the asymptotic solution of wave equation concentred at the central ray. The Gaussian beam ray tracing method has many advantages over ray tracing method. Because of the prevalence of multipath and caustics in complex media, Kirchhoff migration usually can not get satisfactory images, but Gaussian beam migration can get better results.The Runge-Kutta method is used to carry out the raytracing, and the wavefront construction method is used to calculate the multipath wavefield. In this thesis, a new method to determine the starting point and initial direction of a new ray is proposed take advantage of the radius of curvature calculated by dynamic ray tracing method.The propagation characters of Gaussian beam in complex media are investigated. When Gaussian beam is used to calculate the Green function, the wave field near the source was decomposed in Gaussian beam in different direction, then the wave field at a point is the superposition of individual Gaussian beams.Migration aperture is the key factor for Kirchhoff migration. In this thesis, the criterion for the choice of optimum aperture is discussed taking advantage of stationary phase analysis. Two equivalent methods are proposed, but the second is more preferable.Gaussian beam migration based on dip scanning and its procedure are developed. Take advantage of the travel time, amplitude, and takeoff angle calculated by Gaussian beam method, the migration is accomplished.Using the proposed migration method, I carry out the numerical calculation of simple theoretical model, Marmousi model and field data, and compare the results with that of Kirchhoff migration. The comparison shows that the new Gaussian beam migration method can get a better result over Kirchhoff migration, with fewer migration noise and clearer image at complex structures.