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高阶交错网格有限差分弹性波场模拟的精度分析
引用本文:岳晓鹏,白超英,岳崇旺.高阶交错网格有限差分弹性波场模拟的精度分析[J].煤田地质与勘探,2017,45(1):125-130.
作者姓名:岳晓鹏  白超英  岳崇旺
基金项目:国家自然科学基金青年科学基金项目(41504090);中央高校基金基础研究项目(310826161021)
摘    要:交错网格波场数值模拟是目前地震正演中广泛使用的方法,为对比分析不同阶数的差分格式下产生的计算效率和精度差异,重新推导了弹性波方程的4种时间4阶、空间2N阶的差分公式及系数,并计算了他们的稳定性条件。利用这4种差分格式进行弹性波场数值模拟,对比分析了波场快照、合成地震记录及CPU时间。结果表明:时间4阶、空间6+6阶精度的交错网格有限差分方法在进行地震波场数值模拟时具有较高的计算精度和计算效率。 

关 键 词:精度分析    弹性波场    交错网格    高阶有限差分
收稿时间:2016-01-23

Accuracy analysis of elastic wave field simulation based on high-order staggered grid finite difference scheme
Abstract:Seismic wavefield numerical simulation based on the staggered grids is widely used in seismic forward at present, there will be some differences in efficiency and accuracy by using different order difference scheme to simulate. In order to compare these differences, four kinds of difference formulas and coefficients of 4 order temporal and 2N order spatial of elastic wave equation are deduced, and the stability conditions of high order staggered grid under different difference schemes are calculated. The elastic wave field is simulated by using the four difference formulas and coefficients, and the results of wave field snapshot, synthetic seismogram and CPU time are compared and analyzed. The results shows that the staggered grid with accuracy of 4 order temporal and 6+6 orders spatial has high calculation precision and computational efficiency in numerical simulation of seismic wave field. 
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