| 井眼条件下弹性波传播问题的三维有限差分数值模拟 |
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| 引用本文： | 杨慧珠,张友生,陶果.井眼条件下弹性波传播问题的三维有限差分数值模拟[J].地球物理学进展,2003,18(2):348-352. |
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| 作者姓名： | 杨慧珠 张友生 陶果 |
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| 作者单位： | 1. 清华大学工程力学系,北京,100084
2. 石油大学(北京),北京,102249 |
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| 基金项目： | 石油天然气集团中青年创新基金开放项目 ( 2 0 0 2CXKF- 4) . |
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| 摘 要： | 推导了二阶改进Higdon吸收边界条件．利用空间上具有四阶精度、时间上具有二阶精度的中心差分方法。数值模拟了几种复杂井眼条件下的波场．给出了正交各向异性介质地层条件和椭圆井眼条件下波场模拟的结果．考查并分析了单极子源和偶极子源条件下的波场特性，所得结论与弹性波传播理论一致．通过计算表明，利用改进的Higdon吸收边界条件，声波测井三维模拟程序可用于复杂井眼各向异性地层条件的波场传播模拟．
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| 关 键 词： | 吸收边界条件 三维有限差分 弹性波传播 数值模拟 |
| 文章编号： | 1004-2903(2003)02-0348-05 |
| 修稿时间： | 2002年9月10日 |
Three dimensional finite difference numerical simulation of elastic wave propagation under borehole conditions |
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| YANG Hui-zhu,ZHANG You-sheng,TAO Guo.Three dimensional finite difference numerical simulation of elastic wave propagation under borehole conditions[J].Progress in Geophysics,2003,18(2):348-352. |
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| Authors: | YANG Hui-zhu ZHANG You-sheng TAO Guo |
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| Institution: | YANG Hui-zhu1,ZHANG You-sheng1,TAO Guo2 |
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| Abstract: | The improved Higdon absorbing boundary condition was derived in this paper. Various borehole and formation conditions were simulated using the fourth order accuracy in space and second order accuracy in time centered finite difference method. The numerical simulate result of orthorhombic medium formation and elliptic borehole conditions are presented. The wave field of monopole and dipole source are simulated and analysed, which agree well with the theory of elastic wave propagation.It indicates that with the improved Higdon absorbing boundary condition , the three dimensional program on acoustic log can be used to simulate the wave field of complex borehole conditions. |
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| Keywords: | absorbing boundary condition 3D finite difference elastic wave propagation numerical analysis |
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