第一菲涅尔带半径与地震资料的横向分辨力
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摘要
对第一菲涅尔带半径的物理概念进行了剖析,指出它代表该带内地震能量同相加强,并不能代表两个砂体相隔多远时才能被认为是两个砂体这一物理过程。针对目前地震资料横向分辨力计算方法在概念上的混淆,从光学分辨力的定义出发,利用瑞利判据,推导了一种新的计算公式。推导结果表明,在实际资料处理中,这两个公式的数值结果相差无几。可以将第一菲涅尔带半径作为地震资料横向分辨力的一种近似。
The physical concept of the first Fresnel zone radius was dissected. It was pointed out that the first Fresnel zone radius means cophase seismic energies enhanced in the zone, and it is unable to manifest the physical process of two isolated sands integrating into a single big sand when the two sands get closer. To clarify the conceptual misunderstandings of current lateral resolving power computing methods, the author deducted a new computing formula from Rayleigh criterion and the definition of optical resolving power. It is showed that those two formulae are equivalent numerically. The first Fresnel zone radius can be treated as lateral resolving power of seismic data approximately.
The physical concept of the first Fresnel zone radius was dissected. It was pointed out that the first Fresnel zone radius means cophase seismic energies enhanced in the zone, and it is unable to manifest the physical process of two isolated sands integrating into a single big sand when the two sands get closer. To clarify the conceptual misunderstandings of current lateral resolving power computing methods, the author deducted a new computing formula from Rayleigh criterion and the definition of optical resolving power. It is showed that those two formulae are equivalent numerically. The first Fresnel zone radius can be treated as lateral resolving power of seismic data approximately.
引文
1 Ricker N. Wavelet contraction, wavelet expression, and the control of seismic resolution [J]. Geophysics, 1953,18(6):796-792
2 Widess M A. How thin is a thin bed? [J]. Geophysics, 1973, 38(8): 1 176-1 254
3 Sheriff R E. Limitations on resolution of seismic reflection and geologic detail derivable from them [J]. AAPG Memoir 26, 1977, 3-14
4 Denham L R, Sheriff R E. What is horizontal resolu- tion? [J]. Expanded Abstracts of 50th Annual Internal SEG Meeting, 1980,Session G17
5 Kallweit R S, Wood L G. The limits of resolution of zero-phase wavelets [J]. Geophysics, 1982, 47(7): 1 035 - 1 046
6 Widess M B. Quantifying resolution power of seismic systems [J]. Geophysics,1982,47(8):1 160-1 173
7 Sheriff R E,Geldart L P. Exploration seismology (Volume 1)[M]. New York: Cambridge University Press, 1982.152-155
8 Beylkin G,Oristaglio M,Miller D. Spatial resolution of migration algorithms [J]. Proceeding of 14th International Symposium on Acoustical Imaging, 1985,155-167
9 Wu R S, Toksoz M N. Diffraction tomography and multi-source holography applied to seismic imaging [J]. Geophysics, 1987,52(1): 11-25
10 Safar M H. On the lateral resolution achieved by Kirchhoff migration [J]. Geophysics, 1985, 50 (8): 1 091-1 099
11 Vermeer G J O. Factors affecting spatial resolution [J]. The Leading edge,1998,17(10):1 025-1 030
12 Ma Zaitian,Jin Shengwen,Cheng Jiubin,et al. Quantitative estimation of seismic imaging resolution [J], Expanded Abstracts of 72th Annual Internal SEG Meeting, 2002,2 281-2 284
13程玖兵,马在田,王成礼．地震成像的广义空间分辨率[A]．北京:CPS／SEG国际地球物理会议,2004
14云美厚,丁伟．地震分辨力新认识[J]．石油地球物理勘探,2005,40(5):603-608
15云美厚．地震分辨率[J]．勘探地球物理进展,2005．28(1):12～18
16云美厚,丁伟,杨凯．地震道空间分辨力研究[J]．地球物理学进展,2005,20(3):741-746
17云美厚,丁伟,王新红．地震水平分辨力研究与应用[J]．勘探地球物理进展,2005,28(2):102-107
18陆基孟．地震勘探原理(下册)[M]．东营:石油大学出版社,1993．23-25
19波恩M,沃尔夫E．光学原理(上册)[M]．杨霞荪译．北京:科学出版社,1978．541-546
20赵凯华,钟锡华．光学(上册)[M]．北京:北京大学出版社,1992．225-229
21 Knapp R W. Fresnel zones in the light of broadband data[J]. Geophysics,1991,56(3) :354-359
22 Sheriff R E, Geldart L P. Exploration seismology (Volume 1)[M]. New York: Cambridge University Press, 1982.119-121
23石人冀．光学的启示——地震资料横向分辨率问题辨析[J]．石油物探,2003,42(4):562-565
24 Pearce J, Mittleman D. Defining the Fresnel zone for broadband radiation[J]. Physical review, 2002, E 66: 056602-1-056602-4
25罗斌,刘学伟,尹军杰．炮检距对地震分辨率影响的研究[J]．石油物探,2005,44(1):16-20
26张山．非均匀介质中叠加剖面的横向分辨力估算[J]．石油物探,1988,2(4):59-69
27孙成禹．非零炮检距菲涅耳带研究[J]．石油大学学报(自然科学版),2005,29(1):26-29
2 Widess M A. How thin is a thin bed? [J]. Geophysics, 1973, 38(8): 1 176-1 254
3 Sheriff R E. Limitations on resolution of seismic reflection and geologic detail derivable from them [J]. AAPG Memoir 26, 1977, 3-14
4 Denham L R, Sheriff R E. What is horizontal resolu- tion? [J]. Expanded Abstracts of 50th Annual Internal SEG Meeting, 1980,Session G17
5 Kallweit R S, Wood L G. The limits of resolution of zero-phase wavelets [J]. Geophysics, 1982, 47(7): 1 035 - 1 046
6 Widess M B. Quantifying resolution power of seismic systems [J]. Geophysics,1982,47(8):1 160-1 173
7 Sheriff R E,Geldart L P. Exploration seismology (Volume 1)[M]. New York: Cambridge University Press, 1982.152-155
8 Beylkin G,Oristaglio M,Miller D. Spatial resolution of migration algorithms [J]. Proceeding of 14th International Symposium on Acoustical Imaging, 1985,155-167
9 Wu R S, Toksoz M N. Diffraction tomography and multi-source holography applied to seismic imaging [J]. Geophysics, 1987,52(1): 11-25
10 Safar M H. On the lateral resolution achieved by Kirchhoff migration [J]. Geophysics, 1985, 50 (8): 1 091-1 099
11 Vermeer G J O. Factors affecting spatial resolution [J]. The Leading edge,1998,17(10):1 025-1 030
12 Ma Zaitian,Jin Shengwen,Cheng Jiubin,et al. Quantitative estimation of seismic imaging resolution [J], Expanded Abstracts of 72th Annual Internal SEG Meeting, 2002,2 281-2 284
13程玖兵,马在田,王成礼．地震成像的广义空间分辨率[A]．北京:CPS／SEG国际地球物理会议,2004
14云美厚,丁伟．地震分辨力新认识[J]．石油地球物理勘探,2005,40(5):603-608
15云美厚．地震分辨率[J]．勘探地球物理进展,2005．28(1):12～18
16云美厚,丁伟,杨凯．地震道空间分辨力研究[J]．地球物理学进展,2005,20(3):741-746
17云美厚,丁伟,王新红．地震水平分辨力研究与应用[J]．勘探地球物理进展,2005,28(2):102-107
18陆基孟．地震勘探原理(下册)[M]．东营:石油大学出版社,1993．23-25
19波恩M,沃尔夫E．光学原理(上册)[M]．杨霞荪译．北京:科学出版社,1978．541-546
20赵凯华,钟锡华．光学(上册)[M]．北京:北京大学出版社,1992．225-229
21 Knapp R W. Fresnel zones in the light of broadband data[J]. Geophysics,1991,56(3) :354-359
22 Sheriff R E, Geldart L P. Exploration seismology (Volume 1)[M]. New York: Cambridge University Press, 1982.119-121
23石人冀．光学的启示——地震资料横向分辨率问题辨析[J]．石油物探,2003,42(4):562-565
24 Pearce J, Mittleman D. Defining the Fresnel zone for broadband radiation[J]. Physical review, 2002, E 66: 056602-1-056602-4
25罗斌,刘学伟,尹军杰．炮检距对地震分辨率影响的研究[J]．石油物探,2005,44(1):16-20
26张山．非均匀介质中叠加剖面的横向分辨力估算[J]．石油物探,1988,2(4):59-69
27孙成禹．非零炮检距菲涅耳带研究[J]．石油大学学报(自然科学版),2005,29(1):26-29
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