| 方位各向异性介质的多尺度有限差分法波场模拟 |
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| 引用本文： | 王一博,杨慧珠.方位各向异性介质的多尺度有限差分法波场模拟[J].清华大学学报(自然科学版),2006,46(2):293-296. |
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| 作者姓名： | 王一博 杨慧珠 |
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| 作者单位： | 清华大学,工程力学系,北京,100084 |
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| 基金项目： | 中国科学院资助项目;中国石油天然气集团公司资助项目;面向21世纪教育振兴行动计划(985计划) |
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| 摘 要： | 采用以裂缝走向为方位角的方位各向异性介质模型可以较好地描述裂缝性油气藏的实际情况,对弹性波在此介质中的传播过程进行准确的数值模拟有助于提高油气开采的准确程度。该文采用紧支集正交小波基对空间域进行多尺度离散,采用二阶精度有限差分算子对时域离散,推导得到了多尺度有限差分方法正演模拟的递推公式,并实现了相应的波传过程数值模拟。数值结果准确地反映了方位各向异性介质中波场的变化过程,可以清晰地观察到横波分裂和方位特征差异等现象。
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| 关 键 词： | 弹性波 波传 方位各向异性介质 多尺度分析 有限差分 小波 |
| 文章编号： | 1000-0054(2006)02-0293-04 |
| 修稿时间： | 2005年1月26日 |
Numerical simulation of elastic wave propagation in azimuthally anisotropic media using multi-level finite difference method |
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| WANG Yibo,YANG Huizhu.Numerical simulation of elastic wave propagation in azimuthally anisotropic media using multi-level finite difference method[J].Journal of Tsinghua University(Science and Technology),2006,46(2):293-296. |
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| Authors: | WANG Yibo YANG Huizhu |
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| Abstract: | Oil reservoirs can be described more accurately by azimuthally anisotropic media,where the rotational angle is the fracture angle.Numerical simulations of elastic wave propagation in such media can facilitate oil exploration.A numerical simulation of anisotropic media was developed with the spatial domain discretized into multiple levels using compactly supported orthogonal wavelets and with the time domain discretized using a second-order finite difference method.A multiresolution finite difference scheme was then developed for forward wave propagation simulations.The numerical results clearly reflect the wave propagation process and the phenomena of shear wave splitting and wave-field differences caused by the azimuthal property variations. |
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| Keywords: | elastic wave wave propagation azimuthally anisotropic media multiresolution analysis finite difference wavelet |
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