相对大炮检距最小菲涅耳带
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摘要
地震勘探菲涅耳带在优化观测系统设计、研究横向分辨率、确定最优偏移孔径及地震解释等方面有着广泛的应用。文中针对空间水平界面,给出了不同炮检距菲涅耳带三个特征参数理论表达式及其与零炮检距有关的近似表达式,并从能量的角度验证了(第一)菲涅耳带的重要性。理论分析和数值模拟表明,存在一个临界炮检距,当实际炮检距小于临界炮检距时,菲涅耳带半径(面积)随反射界面深度的增大而增大;当实际炮检距大于临界炮检距时,菲涅耳带半径(面积)随反射界面深度的增大先减小而后增大,即存在相对大炮检距最小菲涅耳带问题。
There is wide application for Fresnel zone of seismic prospecting in aspects of optimizing geometry design,studying lateral resolution,determining optimum migration aperture and seismic interpretation. The paper gave three theoretical expressions of characteristic parameters of Fresnel zone with different offsets and approximate expressions associated with zero-offset in spatially horizontal interface and proved the importance of (first) Fresnel zone from the angle of energy. The theoretical analysis and numeric simulation showed that there exists critical offset only relative to dominant wavelength:along with the increase of the depth of reflecting interface,the radius (area) of Fresnel zone increases when the real offsets are less than critical offset and decrease first and then increase when the real offsets greater than critical offset,existing the issue of min Fresnel zone relative to large offsets.
There is wide application for Fresnel zone of seismic prospecting in aspects of optimizing geometry design,studying lateral resolution,determining optimum migration aperture and seismic interpretation. The paper gave three theoretical expressions of characteristic parameters of Fresnel zone with different offsets and approximate expressions associated with zero-offset in spatially horizontal interface and proved the importance of (first) Fresnel zone from the angle of energy. The theoretical analysis and numeric simulation showed that there exists critical offset only relative to dominant wavelength:along with the increase of the depth of reflecting interface,the radius (area) of Fresnel zone increases when the real offsets are less than critical offset and decrease first and then increase when the real offsets greater than critical offset,existing the issue of min Fresnel zone relative to large offsets.
引文
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[3]Favretto-Cristini N,Cristini P,de Bazelaire E.Influ-ence of the interface Fresnel zone on the reflected P-wave amplitude modeling.Geophys J Int,2007,171,841～846
[4]Spetzler J,Jocker J,Smeulders D.Validation of first-order wave diffraction theory by an ultrasonic experi-ment.Expanded Abstracts of74th SEG Mtg,2004
[5]Schleicher J,Hubral P,Tygel Met al.Mini mumap-ertures and Fresnel zones in migration and demigra-tion.Geophysics,1997,62(1):183～194
[6]覃天,段云卿,赵勇.共反射面元叠加波场属性参数的应用.石油地球物理勘探,2006,41(5):530～533
[7]石玉梅,姚逢昌,刘雯林.陆相碎屑岩油藏长期水驱时移地震监测的可行性.石油地球物理勘探,2005,40(3):328～333
[8]Lindsey J P.The fresnel zone andits interpretive sig-nificance.The Leading Edge,1989,8(10):33～39
[9]Sheriff R E,Geldart L P.Exploration Seismology.Cambridge University Press,1982
[10]Sheriff R E.Nomogramfor Fresnel-zone calculation.Geophysics,1980,45:968～972
[11]陆基孟.地震勘探原理(下册).山东东营:石油大学出版社,1993
[12]Okoye P N,Uren N F.Fresnel zones and spatial res-olution for P-and SH-waves in transverselyisotropic media.Geophysics,2000,65(4):1168～1178
[13]Eaton D WS,Stewart R R,Harrison MP.The Fres-nel zone for P-SV waves.Geophysics,1991,56(3):360～364
[14]Brhl M,Vermeer GJ O,Kiehn M.Fresnel zones for broadband data.Geophysics,1996,61(2):600～604
[15]孙成禹.非零炮检距菲涅耳带研究.石油大学学报(自然科学版),2005,29(1):26～29
[16]罗斌,刘学伟,尹军杰.炮检距对地震分辨率影响的研究.石油物探,2005,44(1):16～20
[2]Yil maz.Seismic data analysis:processing,inver-sion,and interpretation of seismic data(VolumeⅡ).Society of Exploration Geophysicists,2001
[3]Favretto-Cristini N,Cristini P,de Bazelaire E.Influ-ence of the interface Fresnel zone on the reflected P-wave amplitude modeling.Geophys J Int,2007,171,841～846
[4]Spetzler J,Jocker J,Smeulders D.Validation of first-order wave diffraction theory by an ultrasonic experi-ment.Expanded Abstracts of74th SEG Mtg,2004
[5]Schleicher J,Hubral P,Tygel Met al.Mini mumap-ertures and Fresnel zones in migration and demigra-tion.Geophysics,1997,62(1):183～194
[6]覃天,段云卿,赵勇.共反射面元叠加波场属性参数的应用.石油地球物理勘探,2006,41(5):530～533
[7]石玉梅,姚逢昌,刘雯林.陆相碎屑岩油藏长期水驱时移地震监测的可行性.石油地球物理勘探,2005,40(3):328～333
[8]Lindsey J P.The fresnel zone andits interpretive sig-nificance.The Leading Edge,1989,8(10):33～39
[9]Sheriff R E,Geldart L P.Exploration Seismology.Cambridge University Press,1982
[10]Sheriff R E.Nomogramfor Fresnel-zone calculation.Geophysics,1980,45:968～972
[11]陆基孟.地震勘探原理(下册).山东东营:石油大学出版社,1993
[12]Okoye P N,Uren N F.Fresnel zones and spatial res-olution for P-and SH-waves in transverselyisotropic media.Geophysics,2000,65(4):1168～1178
[13]Eaton D WS,Stewart R R,Harrison MP.The Fres-nel zone for P-SV waves.Geophysics,1991,56(3):360～364
[14]Brhl M,Vermeer GJ O,Kiehn M.Fresnel zones for broadband data.Geophysics,1996,61(2):600～604
[15]孙成禹.非零炮检距菲涅耳带研究.石油大学学报(自然科学版),2005,29(1):26～29
[16]罗斌,刘学伟,尹军杰.炮检距对地震分辨率影响的研究.石油物探,2005,44(1):16～20
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