| 任意倾斜各向异性介质中弹性波波场交错网格高阶有限差分法模拟 |
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| 引用本文： | 裴正林,王尚旭.任意倾斜各向异性介质中弹性波波场交错网格高阶有限差分法模拟[J].地震学报,2005,27(4):441-451. |
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| 作者姓名： | 裴正林 王尚旭 |
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| 作者单位： | 中国北京,100083,石油大学CNPC物探重点实验室;中国北京,100083,石油大学CNPC物探重点实验室 |
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| 基金项目： | 中国石油天然气集团公司资助项目 |
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| 摘 要： | 给出了任意倾斜各向异性介质中二维三分量一阶应力速度弹性波方程交错网格任意偶数阶精度有限差分格式及其稳定性条件，并推导出了二维任意倾斜各向异性介质完全匹配吸收层法边界条件公式和相应的交错网格任意偶数阶精度差分格式. 数值模拟结果表明，该方法模拟精度高，计算效率高，边界吸收效果好. 各向异性介质中弹性波波前面形态复杂， 且qP波波速不总是比qS波波速快. qS波波前面和同相轴的三分叉现象普遍， 且其同相轴一般不是双曲线型. 当TI介质倾斜时，3个分量上均能够观测到横波分裂现象， 而且各波形的同相轴变得不对称.
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| 关 键 词： | 各向异性介质 交错网格 高阶有限差分 完全匹配吸收层边界条件 |
| 文章编号： | 0253-3782(2005)04-0441-11 |
| 修稿时间： | 2004年5月13日 |
A STAGGERED-GRID HIGH-ORDER FINITE-DIFFERENCE MODELING FOR ELASTIC WAVE FIELD IN ARBITRARY TILT ANISOTROPIC MEDIA |
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| Pei Zhenglin,Wang Shangxu.A STAGGERED-GRID HIGH-ORDER FINITE-DIFFERENCE MODELING FOR ELASTIC WAVE FIELD IN ARBITRARY TILT ANISOTROPIC MEDIA[J].Acta Seismologica Sinica,2005,27(4):441-451. |
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| Authors: | Pei Zhenglin Wang Shangxu |
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| Abstract: | The paper presents a staggered-grid any even-order accurate finite-difference scheme of two-dimensional (2-D), three-component (3-C), first-order stress-velocity elastic wave equation and its stability condition in the arbitrary tilt anisotropic media; and derives a perfectly matched absorbing layer (PML) boundary condition and its staggered-grid any even-order accurate difference scheme in the 2-D arbitrary tilt anisotropic media. The results of numerical modeling indicate that the modeling precision is high, the calculation efficiency is satisfactory and the absorbing boundary condition is better. The wave-front shapes of elastic waves are complex in the anisotropic media, and the velocity of qP wave is not always faster than that of qS wave. The wave-front triplication of qS wave and its events in both reflected domain and propagated domain, which are not commonly hyperbola, is a common phenomenon. When the symmetry axis is tilted in the TI media, the phenomenon of S-wave splitting is clearly observed in the snaps of three components and synthetic seismograms, and the events of all kinds of waves are asymmetric. |
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| Keywords: | anisotropic media staggered-grid high-order finite difference PML boundary condition |
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