A general optimal method for a 2D frequency-domain finite-difference solution of scalar wave equation
A general optimal method for a 2D frequency-domain finite-difference solution of scalar wave equation
复制标题
DOI：
10.1190/geo2016-0457.1
复制
发表时间：
2017-04
期刊：
影响因子：
3.3
通讯作者：
N. Fan;Lian‐Feng Zhao;Xiao-Bi Xie;Xin-Gong Tang;Z. Yao
中科院分区：
文献类型：
--
作者：
N. Fan;Lian‐Feng Zhao;Xiao-Bi Xie;Xin-Gong Tang;Z. Yao
本文提出了一种二维标量波动方程频域有限差分模拟的通用优化方法。对于给定的有限差分模板，该方法可以生成色散方程并优化展开系数。许多常用的频域有限差分方案（例如，具有不同点数的网格、旋转网格和具有不同纵横比的网格空间）可以作为该框架下的特殊情况导出。将这种方法扩展到3D的可能性确实存在。从二维标量波动方程出发，计算出25点、9点、17点和15点格式的优化系数。色散分析表明，我们的25点格式比平均导数法的25点格式有更高的精度。对于1%的最大相速度误差，每最小波长的网格点数从2.78减少到2.13。用该方法计算的合成地震记录和波场快拍结果表明，
ABSTRACTWe have developed a general optimal method for 2D frequency-domain finite-difference simulation of the scalar wave equation. For a given finite-difference stencil, this method can generate the dispersion equation and optimize the expansion coefficients. Many commonly used frequency-domain finite-difference schemes (e.g., grids with different numbers of points, rotated grids, and grid spaces with different aspect ratios) can be derived as special cases under this framework. The possibility of expanding this method to 3D does exist. Based on the 2D scalar wave equation, the optimized coefficients of 25-point, 9-point, 17-point, and 15-point schemes have been worked out. The dispersion analysis indicates that our 25-point scheme has much higher accuracy than the average-derivative method 25-point scheme. The number of grid points per the smallest wavelength is reduced from 2.78 to 2.13 for a maximum phase velocity errors of 1%. The synthetic seismograms and the wavefield snapshots calculated using ou...