Elastic Wave Propagation Simulation in Heterogeneous Anisotropic Media on Non-uniform Grids

A finite-difference method with spatially non-uniform grids was developed to simulate elastic wave propagation in heterogeneous anisotropic media. The method is very simple and requires less compution time. Complicated geometric structures, such as low-velocity layers, cased boreholes and nonplanar interfaces, are treated with fine non-uniform grids. Unlike the multi-grid scheme, this method does not require interpolation between the fine and coarse grids and all grids are Computed in the same spatial iteration. Planar or nonplanar surfaces including underground lens and cased boreholes are easily treated in a way similar to regular grid points. The Higdon‘s absorbing boundary condition was used to eliminate boundary reflections. Numerical simulations show that the method has satisfactory stability and accuracy. The proposed scheme more efficiently simulates wave propagation in heterogeneous anisotropic media than conventional methods using regular rectangular grids of equal accuracy.     

基于多尺度分析的正交偶极子声波测井反演地层各向异性

提出一种从四分量正交偶极子声波阵列波形数据中提取地层剪切波方位各向异性参数的有效方法。该方法利用了各向异性地层中快、慢主挠曲波的分裂特征 ,从四分量数据中计算出了主波列 ,构造了目标函数 ,并利用改进的模拟退火方法搜索目标函数的全局极小值 ,确定出各向异性参数和快横波方位角。对四分量数据进行了多尺度分析 ,在时间频率域内提取了挠曲波的动力学特征 ,解决了实际数据处理中遇到的波形畸变和干扰问题。与常规方法的对比表明 ,新方法不仅计算速度快 ,而且能够减少确定快横波方位角时的不确定性 ,提高了各向异性参数估计的精确度。     

基于多尺度分析的正交偶极子声波测井反演地层各向异性

提出一种从四分量正交偶极子声波阵列波形数据中提取地层剪切波方位各向异性参数的有效方法。该方法利用了各向异性地层中快、慢主挠曲波的分裂特征，从四分量数据中计算出了主波列，构造了目标函数，并利用改进的模拟退火方法搜索目标函数的全局极小值，确定出各向异性参数和快横波方位角。对四分量数据进行了多尺度分析，在时间－频率域内提取了挠曲波的动力学特征，解决了实际数据处理中遇到的波形畸变和干扰问题。与常规方法的对比表明，新方法不仅计算速度快，而且能够减少确定快横波方位角时的不确定性，提高了各向异性参数估计的精确度。