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求解SH波方程的ONAD方法及SH波在地幔中的传播模拟

, PP. 693-702

Keywords: 数值频散,球坐标系,SH波,ONAD方法,地幔

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Abstract:

?优化的近似解析离散化(ONAD)方法是近年来发展的一种新方法.与被普遍使用的有限差分方法相比,这类方法充分利用了位移梯度所包含的波场信息,使得该类方法在粗网格下能够有效地压制数值频散.本文给出求解二维球坐标系下SH波方程的ONAD方法.为了调查球坐标系下该算法的精度和计算效率,选取均匀介质和IASP91非均匀介质模型,分别给出了这两种情况下ONAD方法的计算结果,并与其他算法做了比较.结果表明,ONAD方法在求解球坐标系下SH波方程时具有弱数值频散、储存量小以及计算速度快的优点.作为应用,本文模拟了SH波在地表和地幔边界(CMB)之间的传播,得到了不同时刻的波场快照以及合成地震记录,并通过对波场快照和地震记录的分析,研究了SH波在地幔中的地震传播.

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