地震波标量方程的小波自适应网格有限差分法数值模拟  

Finite-difference numeric modeling of wavelet adaptive network of seismic scalar equation.

作　　者：裴正林[1] 

机构地区：[1]石油大学CNPC物探重点实验室

出　　处：《石油地球物理勘探》2005年第3期267-272,共6页Oil Geophysical Prospecting

摘　　要：现有的地震波数值模拟算法都不能自适应地调整空间网格的大小,从而造成波场计算需要大量的储存空间和计算时间,同时局部波场模拟精度也不高。本文提出了基于平均插值小波的自适应网格算法,并给出了非均匀介质二维一阶压力-速度标量方程小波自适应数值解法。该方法将一般边界条件情况下的地震波传播问题放在小波插值空间中进行,波场的非均匀变化得到自适应响应,极大地提高了局部模拟精度和计算效率。数值模拟结果表明了该方法的正确性和有效性。The current seismic numeric modeling algorithm can't adaptively adjust the size of special network, so a great amount of storage space and computation time are needed for computing the wavefield and the precision of local simulated wavefield is not higher at the same time. The paper presented an adaptive network algorithm on the basis of average interpolation wavelet and gave the wavelet adaptive numeric algorithm of 2-D one-order pressure-velocity scalar equation in non-homogeneous medium. The method operates the issue of seismic wave propagation in the general boundary condition in the interpolation space of wavelet and the non-uniform change of wavefield responses adaptively, which has greatly improved the simulated precision and computational efficiency. The results of numeric modeling showed that the method is correctness and effectiveness.

关 键 词：有限差分法 自适应网格 方程 标量 数值模拟算法 模拟精度 非均匀介质 地震波传播 空间网格 计算时间 储存空间 波场计算 网格算法 插值小波 数值解法 插值空间 边界条件 计算效率 模拟结果 正确性 局部 平均 一阶 

分 类 号：O4[理学—物理] TN011[电子电信—物理电子学]