|
We derive out the frequency-wavenumber domain diffractionwaveequation in the weakly inhomogeneous medium from the elastic waveequation in theisotropic inhomogeneous medium, and give out the Green-function analysis solution;based on the synthetic scheme of the electromagnctic geophysicaI tomographic data,makethe solution linearization by using the reskemblance“Volume Eddy Current Technique( VEC)”,get the scattered field mumberical solution without Born or Rytovapproximation. This,formula is easily to be calculated.We... We derive out the frequency-wavenumber domain diffractionwaveequation in the weakly inhomogeneous medium from the elastic waveequation in theisotropic inhomogeneous medium, and give out the Green-function analysis solution;based on the synthetic scheme of the electromagnctic geophysicaI tomographic data,makethe solution linearization by using the reskemblance“Volume Eddy Current Technique( VEC)”,get the scattered field mumberical solution without Born or Rytovapproximation. This,formula is easily to be calculated.We use the iterative tornographicinversion,this method employs an equivalent Neumann seriea solution in each iterationstep;use SVD method to solve the inverse problem and discuss the selection of the dampfactor. We have finished the two theoretical model cxperimenis.The reaults show that thistechnique is succossful and efficient,the resolution of the images is high. 从各向同性非均匀介质中弹性波波动方程出发,导出了在弱不均匀条件下,频率-波数域衍射场方程,给出了格林函数解析解。在电磁波地球物理层析成像数据合成的基础上,用类“体电流法(VCM)”,将解析解线性化,得到未作Born近似或Rytov近似的衍射场数值解,便于计算合成数据。采用迭代法进行反演,每步迭代中,采用等比Neumann级数解;反问题用SVD法求解,探讨了阻尼因子的取法。数值模型试验表明,这种算法是有效和成功的,成像的分辨率较高,对介质的均匀性要求有所降低,为实际应用创造了进一步条件。 The evolutionary programming inversion(EPI)of crosshole seismic travel time tomography is a nonlinear and global optimization method.As compared with traditional linearized inversion method,the main advatages of EPI are:reaching the global minimum;the inversion results are independent of the starting model.being good in stability;with high resolution and high quality of tomograpghy.the numerical modeling results are good 井间地震走时层析成像的遗传进化反演法是一种全局最优化的非线性反演方法。与传统的线性化反演方法相比,该方法具有全局收敛、不依赖于初始模型、稳定性好、图像分辨率质量高等优点。数值模型试验结果表明,该方法效果良好。 The crosshole seismic tomography for geological hazardous bodies belongs to nonlinear tomography for complicated models or high contrast velocity models. In order to provide a wavelet transform based multiscale inverse method of seismic tomography,this paper has for the first time introduced the wavelet multi scale to the seismic tomography,thus effectively solving the difficulty of nonlinear tomography and enhancing the tomographic resolution.The practicability and good effect of the method have been proved... The crosshole seismic tomography for geological hazardous bodies belongs to nonlinear tomography for complicated models or high contrast velocity models. In order to provide a wavelet transform based multiscale inverse method of seismic tomography,this paper has for the first time introduced the wavelet multi scale to the seismic tomography,thus effectively solving the difficulty of nonlinear tomography and enhancing the tomographic resolution.The practicability and good effect of the method have been proved by the numerical modeling and some real cases. 地质灾害体如岩溶、陷落柱、软弱层等的井间地震层析成像属于复杂模型或大扰动异常体的非线性成像。该文首次将小波多尺度思想引入到井间层析成像 ,建立了小波多尺度井间地震层析成像方法 ,很好地解决了非线性成像的难题 ,大大地提高了图像的质量和分辨率。数值模型试验和实际工程应用证实了该方法的实用性和良好效果。
|