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流体饱和多孔隙介质波动方程小波有限差分法
Wavelet Finite-Difference Method for the Numerical Simulation of Wave Propagation in Fluid-Saturated Porous Media
【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.
【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.
【Key words】 wavelet multiresolution method; numerical simulation; fluid-saturated porous medium; finite-difference method;
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2008年11期
- 【分类号】O357.3;O175.2
- 【被引频次】7
- 【下载频次】216