流体饱和多孔隙介质波动方程小波有限差分法

贺英; 韩波

流体饱和多孔隙介质波动方程小波有限差分法

贺英,
韩波

哈尔滨工业大学数学系,哈尔滨 150001

基金项目: 国家自然科学基金资助项目(40774056)

详细信息

作者简介:
贺英(1978- ),女,黑龙江哈尔滨人,博士生(联系人.Tel:+86-451-86401135;E-mail:happy-birdzhp@sohu.com).

中图分类号: O175.2；O357
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- 文章访问数: 2915
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- PDF下载量: 775
- 被引次数: 0
出版历程
- 收稿日期: 2008-03-20
- 修回日期: 2008-09-23
- 刊出日期: 2008-11-15

Wavelet Finite-Difference Method for the Numerical Simulation of Wave Propagation in Fluid-Saturated Porous Media

HE Ying,
HAN Bo

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

摘要

摘要: 研究流体饱和多孔隙介质中波动方程的数值模拟．针对求解二维弹性波方程问题,提出小波有限差分法．该方法综合了小波多分辨分析计算灵活、计算效率高特性和有限差分易于实现的优点．数值模拟的结果显示，此方法对于求解流体饱和多孔隙介质方程的数值模拟是有效稳定的．
- 小波多分辨分析 /
- 数值模拟 /
- 双相介质 /
- 有限差分法
Abstract: The numerical simulation of wave propagation in fluid-saturated porous media is considered. A wavelet finite-difference method was proposed for solving the 2-D elastic wave equation. This algorithm combines the flexibility and computational efficiency of wavelet multiresolution method with the easy implementation of finite-difference method. And the orthogonal wavelet basis provides a natural framework, which adapts spatial grids to local wavefield properties. Numerical results illustrate the value of the approach as an accurate and stable tool for the simulation of wave propagation in fluid-saturated porous media.
- wavelet multiresolution method /
- numerical simulation /
- fluid-saturated porous medium /
- finite-difference method

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参考文献(17)

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[2]	Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid: higher-frequency range[J].Acoustical Society of America,1956,28(2):168-178. doi: 10.1121/1.1908239
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[7]	邵秀民,蓝志凌. 流体饱和多孔介质波动方程的有限元解法[J]. 地球物理学报.2000,43(2):264-277.
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文章访问数: 2915
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流体饱和多孔隙介质波动方程小波有限差分法

作者简介:
贺英(1978- ),女,黑龙江哈尔滨人,博士生(联系人.Tel:+86-451-86401135;E-mail:happy-birdzhp@sohu.com).

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Wavelet Finite-Difference Method for the Numerical Simulation of Wave Propagation in Fluid-Saturated Porous Media

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留言板

流体饱和多孔隙介质波动方程小波有限差分法

作者简介: 贺英(1978- ),女,黑龙江哈尔滨人,博士生(联系人.Tel:+86-451-86401135;E-mail:happy-birdzhp@sohu.com).

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出版历程

Wavelet Finite-Difference Method for the Numerical Simulation of Wave Propagation in Fluid-Saturated Porous Media

计量

出版历程

目录

作者简介:
贺英(1978- ),女,黑龙江哈尔滨人,博士生(联系人.Tel:+86-451-86401135;E-mail:happy-birdzhp@sohu.com).