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OALib Journal期刊
ISSN: 2333-9721
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tti介质准p波和准sv波方程的迭代有限差分解法
Keywords: tti介质,准p波方程,准sv波方程,有限差分,迭代
Abstract:
？本文介绍了时间和空间微分耦合的具有倾斜对称轴的横向各向同性(tti)介质准p波和准sv波方程,并把该方程从时间—波数域转换到时间—空间域,提出了该方程的两种有限差分解法并给出稳定性条件。解法一按常规有限差分近似式对波动方程进行逼近,每个时间步波场的计算都需要求解一个大型稀疏矩阵线性方程组;解法二先对各网格节点的波场赋以零值,再通过由有限差分近似建立的公式逐个节点进行迭代计算,每次计算仅使用少数网格节点的波场值,不需要求解方程组。与伪谱法的理论模型计算结果对比表明,迭代有限差分解法是正确的,虽然其计算精度较低,但计算速度较快,而且具有较好的收敛性。
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