| 虚谱法求解波动方程的算法改进 |
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| 引用本文： | 马德堂,朱光明.虚谱法求解波动方程的算法改进[J].地球科学与环境学报,2000,22(2):63-66. |
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| 作者姓名： | 马德堂 朱光明 |
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| 作者单位： | 西安工程学院,基础部,陕西,西安,710054 |
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| 基金项目： | 国家 8 6 3项目资助! (82 0 0 5 0 2 0 3 ) |
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| 摘 要： | 虚谱法利用付里叶变换和有限差分求解波动方程 ,是地震波场正演模拟的重要方法之一 ,但其常规算法运算量大 ,运算时间长。为此 ,我们在常规算法的基础上作了些改进 ,主要是提出了反付里叶变换的快速算法 ,并运用正反付里叶变换的快速算法和避免重复运算等手段 ,使运算量大大减少 ,可节省运算时间三倍多
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| 关 键 词： | 虚谱法 波动方程 付里叶变换 |
THE IMPROVEMENT ON THE ALGORITHM OF PSEUDO-SPECTRUM METHOD IN SOLVING WAVE EQUATION |
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| MA De-tang,ZHU Guang-ming.THE IMPROVEMENT ON THE ALGORITHM OF PSEUDO-SPECTRUM METHOD IN SOLVING WAVE EQUATION[J].Journal of Earth Sciences and Environment,2000,22(2):63-66. |
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| Authors: | MA De-tang ZHU Guang-ming |
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| Abstract: | The pseudospectrum method uses Fourier transform and finite difference to solve wave equation It is one of the important methods used to simulate the seismic wave field But its routine algorithm needs large quantity of computation and spends long computing time It will be improven the routine algorithm in this paper. At first, it is presented that the formulas of fast reverse Fourier tranform ( 1- D , 2- D ) And then, by using the fast Fourier transform and the fast reverse Fourier transform as well as other techniques in the algorithm, it makes the quantity of computation compressed greatly,and makes the computing time reduced to 1/4 of the routine computing time |
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| Keywords: | pseudospectrum Fourier transform finite difference |
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