%0 Journal Article
%T A wavelet finite element method for the 2-D wave equation in fluid-saturated porous media<br>流体饱和多孔隙介质二维弹性波方程正演模拟的小波有限元法
%A Zhang XinMing
%A Liu KeAn
%A Liu GuQi
%A <br>张新明
%A 刘克安
%A 刘家琦
%J 地球物理学报
%D 2005
%I 
%X The wavelet finite element method is applied to forward simulation of the wave equation in fluid-saturated porous media. The 2-D scaling functions of Daubechies wavelet are used as the interpolation basis function to replace the polynomial functions, then the tensor wavelet element is constructed. In order to overcome the integral difficulty for lacking of the explicit expression of the Daubechies wavelet, a kind of character functions are introduced. The recursive expression of calculating the function value of Daubechies wavelet on the fraction node is deduced, and the rapid wavelet transform between the wavelet coefficient space and the wave field displacement space is constructed. The results of numerical simulation show that the method is effective.
%K Wavelet finite element method
%K Fluid-saturated porous media
%K Daubechies wavelet
%K Scaling function
%K Rapid wavelet transform<br>小波有限元法
%K 流体饱和多孔隙介质
%K Daubechies小波
%K 尺度函数
%K 快速小波变换
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=B8EECB0EC2708231&yid=2DD7160C83D0ACED&vid=B6DA1AC076E37400&iid=94C357A881DFC066&sid=59B00AA7F83CF649&eid=811F346FF129CCCC&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=11&reference_num=18