高精度有限差分地震波正演方法

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三维地震模拟不仅可以更精确地研究地震波的传播规律,而且是三维地震资料处理和解释的工具.本文采用精细积分法用于求解波动方程对波动方程在空间采用差分格式,时间域采用积分法求解析的方法.文中详细论述了精细积分法的数值方法,并给出了计算公式.理论分析和数值算例的结果表明了用这种混合方法得到的解与精确解十分吻合,比有限差分法具有更高的精度.文中给出的地震波正演模拟算例说明了该方法适用于复杂地表和复杂构造地质体.
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