%0 Journal Article
%T SIMULATION OF ACOUSTIC WAVE PROPAGATION IN COMPLEX MEDIA USING MRFD METHOD<br>多尺度有限差分法模拟复杂介质波传问题
%A MA JIAN-WEI
%A YANG HUI-ZHU
%A ZHU YA-PING
%A <br>马坚伟
%A 杨慧珠
%A 朱亚平
%J 物理学报
%D 2001
%I 
%X This paper is devoted to the simulation of acoustic wave propagation in complex media, applying the finite difference scheme and the orthonormal compactly supported wavelet transform approximation,to the time and the space dimension of the wave equation, respectively. A new method, which is a fast adaptive arithmetic, named Multiresolution Finite Difference (MRFD) is first proposed to solve the problem of the wave propagation in multi-layered medium with nonperiodic boundary condition. Thus the problem is solved in the wavelet domain rather than in the traditional Euclidian space. Due to adaptive and vanishing-moment property of the wavelet basis, the difference operator and solution vector have sparseness in the wavelet domain. MRFD is a promising method because of some advantages such as lighter computational burden, efficiency of convergence and robustness. Numerical results in geophysics exploration show the effectiveness and potential of the method.
%K MRFD
%K wavelet transform
%K multiresolution analysis
%K wave propagation<br>MRFD
%K 小波变换
%K 多尺度
%K 波传问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E825FB61B05F3D25&yid=14E7EF987E4155E6&vid=771152D1ADC1C0EB&iid=5D311CA918CA9A03&sid=BE34987501BA69F7&eid=76DAC16A9BFED90B&journal_id=1000-3290&journal_name=物理学报&referenced_num=11&reference_num=10