基于网格走时计算的弯曲界面下菲涅尔体研究

魏脯力, 孙建国. 2018. 基于网格走时计算的弯曲界面下菲涅尔体研究. 地球物理学报, 61(6): 2471-2480, doi: 10.6038/cjg2018L0134
引用本文: 魏脯力, 孙建国. 2018. 基于网格走时计算的弯曲界面下菲涅尔体研究. 地球物理学报, 61(6): 2471-2480, doi: 10.6038/cjg2018L0134
WEI PuLi, SUN JianGuo. 2018. A study of Fresnel volume under a curved interface based on grid traveltime computation. Chinese Journal of Geophysics (in Chinese), 61(6): 2471-2480, doi: 10.6038/cjg2018L0134
Citation: WEI PuLi, SUN JianGuo. 2018. A study of Fresnel volume under a curved interface based on grid traveltime computation. Chinese Journal of Geophysics (in Chinese), 61(6): 2471-2480, doi: 10.6038/cjg2018L0134

基于网格走时计算的弯曲界面下菲涅尔体研究

  • 基金项目:

    国家自然科学基金项目(41274120)资助

详细信息
    作者简介:

    魏脯力, 男, 1993年生, 吉林大学地球探测与信息技术专业在读博士, 主要从事地震波正演及偏移成像研究.E-mail:wei_pl@126.com

    通讯作者: 孙建国, 男, 1956年生, 德国自然科学博士, 教授, 博士生导师, 主要从事地下波动理论与成像技术、计算地球物理、岩石物理、科学计算方法与技术、反射地震资料处理、钻孔电磁探测理论、地球物理中的天线问题、可视化技术及其在地球物理场数值模拟与观测数据解释中的应用等方面的教学和研究工作.E-mail:sun_jg@jlu.edu.cn
  • 中图分类号: P631;P315

A study of Fresnel volume under a curved interface based on grid traveltime computation

More Information
  • 为了研究弯曲界面曲率变化对分辨率的影响,首先推导了垂直入射下来自弯曲界面的反射波和透射波界面菲涅尔带近似的解析公式,证明了公式中曲率为零恰好对应已经被推导的平界面菲涅尔带的解析公式,然后给出了利用网格走时计算方法计算弯曲界面下反射波和透射波菲涅尔体的数值实现策略,这一实现策略同时保证了网格走时计算的精度和菲涅尔体计算的精度,最后对比了不同弯曲界面(不同曲率)下的菲涅尔体相对于平界面(曲率为零)下菲涅尔体的变化.研究结果表明,界面下高速时,向斜弯曲造成菲涅尔体在界面附近变宽,使得分辨率降低;背斜弯曲造成菲涅尔体在界面附近变窄,使得分辨率提高.并且向斜弯曲对分辨率的影响程度要明显大于背斜弯曲.而界面下低速时,结论正好相反.

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  • 图 1 

    菲涅尔体的定义示意图

    Figure 1. 

    Schematic of Fresnel volume

    图 2 

    平界面菲涅尔带计算示意图

    Figure 2. 

    Schematic of computing IFZ for a planar interface

    图 3 

    弯曲界面菲涅尔带计算示意图

    Figure 3. 

    Schematic of computing IFZ for a curved interface

    图 4 

    透射波菲涅尔体的计算过程

    Figure 4. 

    Process of computing Fresnel volume for transmission

    图 5 

    反射波菲涅尔体的计算过程

    Figure 5. 

    Process of computing Fresnel volume for reflection

    图 6 

    反射波菲涅尔体的计算原理示意图

    Figure 6. 

    Schematic of computing Fresnel volume for reflection

    图 7 

    弯曲界面近似示意图

    Figure 7. 

    Schematic of approximate curved interface

    图 8 

    平界面下的菲涅尔体

    Figure 8. 

    Fresnel volume under a planar interface

    图 9 

    弯曲界面模型

    Figure 9. 

    Velocity model with a curved interface

    图 10 

    反射波界面菲涅尔带(IFZ)随界面曲率的变化

    Figure 10. 

    IFZ for reflection from a curved interface changing with different curvatures

    图 11 

    弯曲界面下的反射波菲涅尔体

    Figure 11. 

    Fresnel volume for reflection from a curved interface

    图 12 

    透射波界面菲涅尔带(IFZ)随界面曲率的变化

    Figure 12. 

    IFZ for transmission from a curved interface changing with different curvatures

    图 13 

    弯曲界面下的透射波菲涅尔体

    Figure 13. 

    Fresnel volume for transmission from a curved interface

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出版历程
收稿日期:  2017-06-30
修回日期:  2018-05-17
上线日期:  2018-06-05

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