交错网格高阶差分法三维弹性波数值模拟

来源 :CPS/SEG 2004国际地球物理会议 | 被引量 : 0次 | 上传用户:kldzn2004
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地震波数值模拟技术是研究地震波在地下复杂介质中传播规律的有效途径.本文应用交错网格高阶有限差分方法模拟弹性波在三维各向同性介质中的传播问题.根据提高计算精度、减小数值频散和兼顾计算效率的原则,本文提出了精度为时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移—应力方程,并在计算区域边界处采用基于傍轴近似法得到的三维弹性波方程吸收边界条件.在此基础上进行了三维盐丘地质模型的地震波传播数值模拟计算.试算结果表明该方法使模拟精度大幅度提高,在很大程度上减小了数值频散,分辨率更高,绕射波更加丰富.而且适用于介质速度具有纵向变化和横向变化的情况,使得模拟地震波在地下复杂介质中的传播成为可能.
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