| 局部角度域波传播步进算法研究 |
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| 引用本文： | 高静怀,周艳辉,毛剑,陈文超,吴如山,李幼铭.局部角度域波传播步进算法研究[J].地球物理学报,2007,50(1):248-259. |
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| 作者姓名： | 高静怀 周艳辉 毛剑 陈文超 吴如山 李幼铭 |
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| 作者单位： | 1.西安交通大学波动与信息研究所, 西安710049 2 Modeling and Imaging Laboratory, Center for the study of Image and Dynamics of the Earth, University of California, Santa Cruz, U.S.A 3 中国科学院地质与地球物理研究所, 北京100029 |
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| 摘 要： | 本文从非均匀介质中波动方程出发，提出了基于一般标架的相空间（局部角度域）波传播的步进算法. 该方法在构造单程波的步进算法时,在选择标架或正交基等方面有更大的自由度. 我们以不随频率及深度变化且具有变尺度特性的Gabor_Daubechies紧标架为例，给出了单程波传输算子的具体形式及相应的波场步进算法；详细讨论了基于Gabor_Daubechies标架的传输算子的高频渐近展开问题，得出了在高频、小传输步长条件下传输算子的近似解析表达式，并给出使用条件. 通过模型算例，比较了精确传输算子与高频近似传输算子用于非均匀介质中波传播的结果，说明在一定条件下由两者得出的波场几乎是相同的.
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| 关 键 词： | 单程波传播 Gabor_Daubechies标架 非均匀介质 局部角度域 步进算法 |
| 文章编号： | 0001-5733（2007）01-0248-12 |
| 收稿时间： | 2006-3-20 |
| 修稿时间： | 2006-03-20 |
A wave propagation method in local angle domain |
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| GAO Jing_Huai,ZHOU Yan_Hui,MAO Jian,CHEN Wen_Chao,WU Ru_Shan,LI You_Ming.A wave propagation method in local angle domain[J].Chinese Journal of Geophysics,2007,50(1):248-259. |
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| Authors: | GAO Jing_Huai ZHOU Yan_Hui MAO Jian CHEN Wen_Chao WU Ru_Shan LI You_Ming |
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| Institution: | 1.Institute of Wave and Information, Xi’an Jiaotong University, Xi’an 710049, China 2 Modeling and Imaging Laboratory, Center for the Study of Image and Dynamics of the Earth, University of California, Santa Cruz, U.S.A 3 Institute of Geology and Geophysics, Chinese Academy of Science, Beijing 100029, China |
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| Abstract: | A phase-space(local angle domain) marching algorithm of wave propagation is proposed in the general frame case,based on the wave equation for inhomogeneous media.The approach presents more freedom when choosing frame or orthogonal basis of one-way wave marching algorithm.Employing the Gabor-Daubechies tight frame which does not vary with frequency and depth but has the characteristic of scale-variability,the specific expression of one-way wave propagator and corresponding marching algorithm of wave field are derived.The high-frequency asymptotic expansion of the propagator based on Gabor-Daubechies tight frame is discussed in detail.Consequently the approximate analytic representation of the propagator in the situation of high-frequency and a small step size is obtained and its validity conditions are provided.The results of wave propagation using the accurate propagator and the high-frequency asymptotic one are compared for several heterogeneous models,which demonstrate that the wave fields are almost the same in certain conditions. |
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| Keywords: | One-way propagation Gabor-Daubechies frame Inhomogeneous media Local angle domain Marching algorithm |
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