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起伏地表贴体全交错网格仿真型有限差分正演模拟

Keywords: 起伏地表,仿真型有限差分,贴体网格,全交错网格,正演模拟

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Abstract:

?为了精确模拟起伏地表下的波场特征,本文发展了曲线坐标系下基于仿真型有限差分的贴体全交错网格正演模拟算法.本算法主要有三个优势:①采用贴体网格离散起伏地表,不仅消除了阶梯离散问题,还可适应剧烈起伏情况;②将全交错网格引入到曲线坐标系中,避免了标准交错网格的插值误差和同位网格中奇偶失联引起的高频振荡现象,提高了模拟精度,且减小了算法实现的复杂度;③引入仿真型差分算子实施曲线坐标系下的自由边界条件,使边界和内部具有相同的差分精度,从而进一步提高了模拟精度,且与牵引力镜像法相比具备了更可靠的理论基础.模型试算结果表明:本文算法结果和解析解几乎完全吻合,具有较高的模拟精度,能够适应各种复杂模型;具有宽松的频散条件,在相同精度下本文算法所允许的网格间距比同位网格的网格间距更大.

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