| 几种单程波动方程解法的对比 |
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| 引用本文： | 吉宏泰,孙建国.几种单程波动方程解法的对比[J].世界地质,2010,29(1):104-112. |
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| 作者姓名： | 吉宏泰 孙建国 |
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| 作者单位： | 吉林大学,地球探测科学与技术学院,长春,130026;吉林大学,国土资源部应用地球物理综合解释理论开放实验室,长春,130026 |
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| 基金项目： | 国家自然科学基金项目，教育部骨干教师资助计划和国家重点基础研究发展计划(973计划)课题 |
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| 摘 要： | 在均匀介质条件下, 比较了ω-k域内Stolt算法和Gazdag相移法、t-x域内部分分式算法、混合域内SSF算法和FFD算法的计算流程, 零炮间距叠后时间偏移的单位脉冲响应、脉冲振幅变化、中心地震道数据的子波振幅变化和脉冲波场频谱特征等体现了波场动力学特性的信息。分析表明, 在均匀介质条件下, ω-k域方法在脉冲响应、振幅变化和频谱特征方面能得到较好的结果, 但该方法的子波分辨率相对其他方法较低, 无法应用于横向速度变化介质问题, 所以复杂地质问题应采用FFD法进行处理。同时以Stolt算法为例具体分析了子波振幅、子波频谱在偏移过程中的变化。
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| 关 键 词： | 单程波动方程 相移算子 单位脉冲响应 子波振幅 频谱特征 |
Contrast at several solutions of one-way wave equation |
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| JI Hong-tai,SUN Jian-guo.Contrast at several solutions of one-way wave equation[J].World Geology,2010,29(1):104-112. |
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| Authors: | JI Hong-tai SUN Jian-guo |
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| Institution: | 1. College of Geoexploration Science and Technology, Jilin University, Changchun 130026, China; 2. Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources, Changchun 130026, China |
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| Abstract: | The authors compare the calculation processes of Stolt method and Gazdag phase-shift method in ω-k domain, partial fraction method in t-x domain and SSF and FFD methods in complex domain under uniform medium condition. The impulse response of post-stack time migration in the zero offset, impulse amplitude change, wavelet amplitude change of centre seismic trace data and spectral characteristics of impulse wave all express the wave field dynamics characteristics. The analysis reflects that the methods in ω-k domain under uniform medium condition have good results in impulse response, amplitude change and spectral characteristics, but the wavelet resolution isworse than other methods and can not applied in the media of lateral velocity variation, so that the method of FFD is better for complex geological problems. Meanwhile, the variation of wavelet amplitude and spectrum in offset process have been analyzed taking Stolt as an example. |
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| Keywords: | one-way wave equation phase-shift operator impulse response wavelet amplitude spectral characteristics |
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