地球物理学报 ›› 2018, Vol. 61 ›› Issue (3): 1118–1135.doi: 10.6038/cjg2018L0404

• 应用地球物理学 • 上一篇    下一篇

薄互层弹性波反演面临的困境

王赟, 杨春, 芦俊   

  1. 中国地质大学(北京)地球物理与信息技术学院, 地质过程与矿产资源国家重点实验室, 北京 100083
  • 收稿日期:2017-07-03 修回日期:2018-01-25 出版日期:2018-03-05
  • 通讯作者: 芦俊,E-mail:lujun615@163.com E-mail:lujun615@163.com
  • 作者简介:王赟,男,1969年生,博士,教授、博士生导师,1998年毕业于中国科学院地球物理研究所,现从事地震各向异性理论与多分量地震技术的研究.E-mail:yunwang@mail.iggcas.ac.cn
  • 基金资助:
    国家自然科学基金项目(41425017,41604119,41574126)和国家十三五重大专项"薄层地震波场特征与反演研究"专题(2016ZX05002-005-008)联合资助.

Dilemma faced by elastic wave inversion in thinly layered media

Yun WANG, Chun YANG, Jun LU   

  1. School of Geophysics and Information Technology, China University of Geosciences, State Key Laboratory of Geological Processes and Mineral Resources(GPMR), Beijing 100083, China
  • Received:2017-07-03 Revised:2018-01-25 Online:2018-03-05

摘要: 对于薄互层地震传播特征的研究我们已有了充分的认识,这是一种完全不同于现有的基于厚层单阻抗差界面地震反射理论的、具有频率依赖性的调谐反射.因而也使得对具有N层结构的弹性介质薄互层反演时,现有有限带宽的基于空间-频率域采样的地震观测难以规避多解性问题.长波长假设下的薄互层VTI近似似乎可以为我们提供一种待反演弹性参数只有5个的可行性方案,使得我们可以将薄互层背景下任一目标薄层的反演看作VTI厚层介质背景下单薄层的反演.但是,我们首先面临薄互层VTI近似的误差和适用性条件等问题;其次,既使对于单薄层厚度的反演,目前地震领域也未能提供一种通用有效的解决方案,实际地震勘探中薄层厚度的预测依然是一个悬而未决的难题.因此在此基础上再进行单薄层的物性参数、裂缝隙和流体的预测则更叠加了难以预知的多解性.显然单纯P波已难以应对,弹性波的介入成为必然;而且单薄层含裂缝与流体的预测更需要横波分裂和双相介质理论的支撑.可以预见的是,除了纵、横波速度,薄互层反射系数的频率依赖性是我们试图给出相对可靠的、单薄层物性精细刻画必须使用的一种重要地震属性.

关键词: 薄互层, VTI, 单薄层, 弹性波, 反演

Abstract: It's well known that there is a great difference of reflecting characteristics between an interface and a thin-bed, mainly because of frequency interference. Though lots of researches have been contributed to this field, under the condition that the seismic data is only recorded as limited frequency band and sparse space sampling, the elastic inversion in thinly layered media was faced with 3N parameters unknown and seriously ambiguity. Maybe a feasible policy is that only 5 elastic parameters (including 3 Thomsen parameters) need to be predicted based on the approximation of vertically transverse isotropy, so that we can simplify the inversion of thinly layered media as a thin-bed inversion in the VTI background. However, first we need to re-consider the accuracy of quasi-VTI theory and its applicable conditions; secondly, we have to solve the problems encountered by thin-bed inversion. Unfortunately, the thin-bed thickness is still difficult to be predicted precisely, though many studies had been given to this topic since the last century. And more than that, if the elastic attributes, especially fractures and fluids need to be detected in a thin-bed, the inversion of thin-bed will become a more complex mathematical problem. Obviously, only P-wave can't afford to face this challenge, and PS-wave information should be used jointly. Especially, frequency-dependent reflectance of the thin-bed is another important seismic attribute needed to be utilized sufficiently, so that the thin-bed can be delineated precisely and finely.

Key words: Thinly layered media, Vertically transverse isotropy, Thin-bed, Elastic wave, Inversion

中图分类号: 

  • P631
Backus G E. 1962. Long-wave elastic anisotropy produced by horizontal layering. Journal of Geophysical Research, 67(11):4427-4440.
Brekhovskikh L M. 1960. Waves in Layered Media (in Chinese). Beijing:Academic Press.
Carcione J M, Kosloff D, Behle A. 1991. Long-wave anisotropy in stratified media:a numerical test. Geophysics, 56(2):245-254.
Carcione J M. 2001. Wave Fields in Real Media:Wave Propagation in Anisotropic, Anelastic and Porous Media. Amsterdam:Pergamon.
Chakraborty A, Okaya D. 1995. Frequency-time decomposition of seismic data using wavelet-based methods. Geophysics, 60(6):1906-1916.
Chen J S, Chang X. 1987. The seismic response of thin reservoir and its quantitative interpretation. Oil Geophysical Prospecting (in Chinese), 22(4):386-399.
Chen T S, Liu Y. 2006. Multi-component AVO response of thin beds based on reflectance spectrum theory. Applied Geophysics, 3(1):27-36.
Cheng L Z, Yang C, Ye S G, et al. 2014. Analysis of two typical thin bed elastic parameter prediction using multi-wave joint inversion. Coal & Geology Exploration (in Chinese), 42(1):68-71.
Chopra S, Castagna J, Xu Y. 2009. Thin-bed reflectivity inversion and some applications. First Break, 27:17-24.
Chung H M, Lawton D C. 1995a. Frequency characteristics of seismic reflections from thin beds. Canadian Journal of Exploration Geophysics, 31(1-2):32-37.
Chung H M, Lawton D C. 1995b. Amplitude responses of thin beds:Sinusoidal approximation versus Ricker approximation. Geophysics, 60(1):223-230.
Cui J C, Wu M, Li W X, et al. 2007. Nonlinear high-resolution impedance inversion method and its application. Geophysical Prospecting for Petroleum (in Chinese), 46(1):1-12.
de Voogd N, den Rooijen H. 1983. Thin-layer response and spectral bandwidth. Geophysics, 48(1):12-18.
Du S T. 2004. Seismic data interpretation of high resolution under sequence frame. Petroleum Geophysics (in Chinese), 2(4):66-77.
Du W W, Jin Z J, Di Y X. 2017. The application of seismic waveform indicator inversion and characteristic parameter simulation to thin reservoir prediction. Chinese Journal of Engineering Geophysics (in Chinese), 14(1):56-61.
Ellison S J, Imhof M G, Çoruh C, et al. 2004. Modeling offset-dependent reflectivity for time-lapse monitoring of water-flood production in thin-layered reservoirs. Geophysics, 69(1):25-36.
Foldstad P G, Schoenberg M. 1992. Low-frequency propagation through fine layering.//62nd Annual International Meeting, SEG Expanded Abstracts. Houston:SEG, 1279-1281.
Francis A. 2005. Limitations of deterministic and advantages of stochastic seismic inversion. CSEG Recorder, 30(2):5-11.
Gao J H, Wang W B, Zhu G M. 1997. Wavelet transform and instantaneous attributes analysis. Chinese J. Geophys. (Acta Geophysica Sinica) (in Chinese), 40(6):821-832.
Gao J H, Chen F, Chen S M. 2005. Using seismic instantaneous attributes to analyze thin interbeds. Coal Geology & Exploration (in Chinese), 33(3):67-71.
Gao J H, Wan T, Chen W C, et al. 2006. Three parameter wavelet and its applications to seismic data processing. Chinese J. Geophys. (in Chinese), 49(6):1802-1812.
Gochioco L M. 1991. Tuning effect and interference reflections from thin beds and coal seams. Geophysics, 56(8):1288-1295.
Gochioco L M. 1992. Modeling studies of interference reflections in thin-layered media bounded by coal seams. Geophysics, 57(9):1209-1216.
Guo Z Q, Liu C, Li X Y, et al. 2016. Modeling and analysis of frequency-dependent AVO responses in inelastic stratified media. Chinese J. Geophys. (in Chinese), 59(2):664-672, doi:10.6038/cjg20160223.
Hall S A, Kendall J. 2003. Fracture characterization at Valhall:application of P-wave amplitude variation with offset and azimuth (AVOA) analysis to a 3D ocean-bottom data set. Geophysics, 68(4):1150-1160.
Han L, Liu C C, Zhang Y M, et al. 2016. Seismic complex spectral decomposition and its application on hydrocarbon detection. Chinese J. Geophys. (in Chinese), 59(3):1095-1101, doi:10.6038/cjg20160329.
Helbig K. 1984a. Anisotropy and dispersion in periodically layered media. Geophysics, 49(4):364-373.
Helbig K. 1984b. Transverse isotropy in exploration seismics. Geophys. J. R. astr. Soc., 76(1):79-88.
Huang H D, Zhang R W, Zhao D, et al. 2009. Seismic inversion and detection of thin-layer gas-bearing sandstone by attributes coupling. Oil Geophysical Prospecting (in Chinese), 44(2):185-189.
Huang H D, Zhao D, Ren D Z, et al. 2011. A thin bed inversion method based on Bayes theory. Oil Geophysical Prospecting (in Chinese), 46(6):919-924.
Imhof M G. 2003. Scale dependence of reflection and transmission coefficients. Geophysics, 68(1):322-336.
Jiang X Z, Lu J, Wang Y. 2017. PP-and PS-waves matching directly based on dynamic image warping. Chinese J. Geophys. (in Chinese), 60(3):1106-1117, doi:10.6038/cjg20170322.
Kallweit R S, Wood L C. 1982. The limits of resolution of zero-phase wavelets. Geophysics, 47(7):1035-1046.
Kennett B L N. 1974. Reflections, rays, and reverberations. Bulletin of the Seismological Society of America, 64(6):1685-1696.
Kennett B L N, Kerry N J. 1979. Seismic waves in a stratified half space. Geophys. J. R. astr. Soc., 57(3):557-583.
Kerner C. 1992. Anisotropy in sedimentary rocks modeled as random media. Geophysics, 57(4):564-576.
Koefoed O, de Voogd N. 1980. The linear properties of thin layers, with an application to synthetic seismograms over coal seams. Geophysics, 45(8):1254-1268.
Krey T, Helbig K. 1956. A theorem concerning anisotropy of stratified media and its significance for reflection seismics. Geophysical Prospecting, 4(3):294-302.
Levshin A, Ratnikova L. 1984. Apparent anisotropy in inhomogeneous media. Geophys. J. R. astr. Soc., 76(1):65-69.
Li G F, Yue Y, Xiong J L, et al. 2011. Experimental study on seismic amplitude attribute of thin interbed based on 3D model. Oil Geophysical Prospecting (in Chinese), 46(1):115-120.
Li L. 2008. Applicability of Thomsen approximate formula in transversely isotropic media. Geophysical Prospecting for Petroleum (in Chinese), 47(2):116-122.
Li X G, Sacchi M D, Ulrych T J. 1996. Wavelet transform inversion with prior scale information. Geophysics, 61(5):1379-1385.
Li X Y, Chen S M, Wang J M, et al. 2012. Forward modeling studies on the time-frequency characteristics of thin layers. Chinese J. Geophys. (in Chinese), 55(10):3410-3419, doi:10.6038/j.issn.0001-5733.2012.10.024.
Li Y, Xu G M, Shi J X, et al. 1995. Experiment in equivalent anisotropy of thin interbedded medium. Oil Geophysical Prospecting (in Chinese), 30(4):513-517.
Li Z D, Zhao W, Li Y, et al. 2011. Feasibility study and application of development seismic inversion. Oil & Gas Geology (in Chinese), 32(54):797-806.
Ling Y, Guo X Y, Gao J, et al. 2010. The technical challenges on the development trend of reservoir geophysics. Geophysical Prospecting for Petroleum (in Chinese), 49(4):319-335.
Liu W J, Zhou H, Yuan S Y, et al. 2013. Applications of spectral inversion in seismic attribute interpretation. Oil Geophysical Prospecting (in Chinese), 48(3):423-428.
Liu Y B, Schmitt D R. 2003. Amplitude and AVO responses of a single thin bed. Geophysics, 68(4):1161-1168.
Lu J, Yang Z, Wang Y, et al. 2015. Joint PP and PS AVA seismic inversion using exact Zoeppritz equations. Geophysics, 80(5):R239-R250.
Lyakhovitskiy F M. 1984. Transverse isotropy of thinly layered media. Geophys. J. R. astr. Soc., 76(1):71-77.
Mansfield G. 1989. Interactive broadband constrained inversion. Exploration Geophysics, 20(2):253-255.
Meissner R, Meixner E. 1969. Deformation of seismic wavelets by thin layers and layered boundaries. Geophysical Prospecting, 17(1):1-27.
Melia P J, Carlson R L. 1984. An experimental test of P-wave anisotropy in stratified media. Geophysics, 49(4):374-378.
Pan W Y, Innanen K A. 2013. AVO/AVF analysis of thin beds in elastic media.//SEG Technical Program Expanded Abstracts 2013. SEG, 373-377.
Pérez M A, Gibson R L, Toksöz M N. 1999. Detection of fracture orientation using azimuthal variation of P-wave AVO responses. Geophysics, 64(4):1253-1265.
Postma G W. 1955. Wave propagation in a stratified medium. Geophysics, 20(4):780-806.
Puryear C I, Castagna J P. 2008. Layer-thickness determination and stratigraphic interpretation using spectral inversion:theory and application. Geophysics, 73(2):R37-R48.
Ramos A C B, Davis T L. 1997. 3-D AVO analysis and modeling applied to fracture detection in coalbed methane reservoirs. Geophysics, 62(6):1683-1695.
Ren J F, Liao Y T, Sun M, et al. 2013. A method for quantitative division of sequence stratigraphy with high-resolution based on wavelet transform and its application. Progress in Geophysics (in Chinese), 28(5):2651-2658, doi:10.6038/pg20130546.
Ricker N. 1953. Wavelet contraction, wavelet expansion, and the control of seismic resolution. Geophysics, 18(4):769-792.
Rüger A, Tsvankin I. 1995. Azimuthal variation of AVO response for fractured reservoirs.//65th Annual International Meeting, SEG, Expanded Abstracts. SEG, 1103-1106.
Rüger A, Tsvankin I. 1997. Using AVO for fracture detection:analytic basis and practical solutions. The Leading Edge, 16(10):1429-1434.
Rüger A. 1998. Variation of P-wave reflectivity with offset and azimuth in anisotropic media. Geophysics, 63(3):935-947.
Rüger A. 2002. Reflection coefficients and azimuthal AVO analysis in anisotropic media. Society of Exploration Geophysicists, No.10.
Sams M S, Atkins D, Said N, et al. 1999. Stochastic inversion for high resolution reservoir characterisation in the Central Sumatra Basin.//SPE Asia Pacific Improved Oil Recovery Conference. Kuala Lumpur, Malaysia:Society of Petroleum Engineers, 257-260.
Sayers C. 1998. Long-wave seismic anisotropy of heterogeneous reservoirs. Geophys. J. Int., 132(3):667-673.
Sidler R, Holliger K. 2010. Seismic reflectivity of the sediment-covered seafloor:effects of velocity gradients and fine-scale layering. Geophys. J. Int., 181(1):521-531.
Sirgue L, Pratt R G. 2004. Efficient waveform inversion and imaging:A strategy for selecting temporal frequencies. Geophysics, 69(1):231-248.
Shi Y, Lu J, Yang Z, et al. 2015. Joint PP-and PS-wave inversion of gathers with average incident angles. Chinese J. Geophys. (in Chinese), 58(12):4617-4627.
Srivastava R P, Sen M K. 2010. Stochastic inversion of prestack seismic data using fractal-based initial models. Geophysics, 75(3):R47-R59.
Stovas A, Landro M, Avseth P. 2006. AVO attribute inversion for finely layered reservoirs. Geophysics, 71(3):C25-C36.
Su S C, Wang X H. 2000. Development of dividing frequency impedance inversion and its application. Journal of the University of Petroleum, China (Edition of Natural Science) (in Chinese), 24(1):85-87.
Sun L P, Zheng X D, Li J S, et al. 2009. Thin-bed thickness calculation formula and its approximation using peak frequency. Applied Geophysics (in Chinese), 6(3):234-240.
Sun S H, Niu Y L. 1991. The application of AVO technique under the condition of thin interbed series. Chinese J. Geophys. (Acta Geophysica Sinica) (in Chinese), 34(1):99-106.
Treitel S, Robinson E A. 1966. Seismic wave propagation in layered media in terms of communication theory. Geophysics, 31(1):17-32.
Tang W B. 1987. On resolution of a thin seam in reflection seismic exploration. Chinese J. Geophys. (Acta Geophysica Sinica) (in Chinese), 30(6):641-652.
Vernik L, Fisher D, Bahret S. 2002. Estimation of net-to-gross from P and S impedance in deep water turbidite. The Leading Edge, 21(4):380-387.
Wang B L, Yin X Y, Ding L X, et al. 2015. Study of fast stochastic inversion based on FFT-MA spectrum simulation. Chinese J. Geophys. (in Chinese), 58(2):664-673, doi:10.6038/cjg20150227.
Wang P, Jin Z K, Li G F, et al. 2007. Detection of thin-layer biodastic limestone based on seismic attributes. Geophysical Prospecting for Petroleum (in Chinese), 46(4):390-393.
Wang Y, Liu Y Y, Zhang M G. 2017. Seismic Equivalent Medium Theory for Fractured Anisotropy (in Chinese). Beijing:Science Press, 49-52.
Waters K H. 1983. Reflection Seismology (in Chinese). Xu Y, Wu C X Trans. Beijing:Petroleum Industry Press.
Widess M B. 1973. How thin is a thin bed?.Geophysics, 38(6):1176-1180.
Xia Z, Liu C Y, Wei W B, et al. 2005. Frequency attributes characters of seismic traces in time domain and division of stratigraphic sequence. Oil Geophysical Prospecting (in Chinese), 40(5):550-560.
Xu G M, Li Y, Ni S D, et al. 1996. Research on equivalent azimuthal isotropy of thin interbed medium. Oil Geophysical Prospecting (in Chinese), 31(6):792-805.
Xu Y. 1981. Seismic model of layer structure and its theory. Geophysical Prospecting for Petroleum (in Chinese), 20(1):1-16.
Yang C, Wang Y, Yang D Y. 2014. Discussion on seismic recognition of deformed coal. Journal of China Coal Society (in Chinese), 39(S2):465-470.
Yang C, Wang Y, Wang Y H. 2016. Reflection and transmission coefficients of a thin bed. Geophysics, 81(5):N31-N39.
Yang C, Wang Y, Lu J. 2017. Weak impedance difference approximations of thin-bed PP-wave reflection responses. J. Geophys. Eng., 14(4):1010-1019.
Yang C Y, Yang C, Chen S Q, et al. 2017. An analysis of seismic responses in thin anisotropic-viscoelastic reservoirs. Chinese J. Geophys. (in Chinese), 60(1):316-326, doi:10.6038/cjg20170126.
Yang Q, Li Z W. 1996. Broadband constrained inversion of data and its application. Geophysical Prospecting for Petroleum (in Chinese), 35(4):37-42.
Yang Q L, Wu G C. 2016. Multi-scale seismic inversion method based on Bayesian theory. Chinese J. Geophys. (in Chinese), 31(3):1246-1256, doi:10.6038/pg20160343.
Yang Q Y, Zhao Q, Wang S X, et al. 2006. P-wave azimuthal anisotropy and its application in detection of fractures. Geophysical Prospecting for Petroleum (in Chinese), 45(2):177-181.
Yu J G, Han W G, Liu L H. 2006. Frequency-divided inversion and application. Oil Geophysical Prospecting (in Chinese), 41(2):193-197.
Yuan C F, Peng S P, Tang S Q, et al. 2014. Improvement of function between thin-bed composite amplitude and its thickness. Journal of China Coal Society (in Chinese), 39(10):2083-2086.
Yuan Z L, Yang B, Wang J G. 1996. Study and application of the forward modeling of thin-layer and thin-interlay in the domains of time and frequency. Geophysical Prospecting for Petroleum (in Chinese), 35(3):14-20.
Zhang C, Yang C, Wang Y. 2015. Discussion on elastic reflection and transmission coefficients of thin-bed and single interface models. Coal Geology & Exploration (in Chinese),43(2):86-90.
Zhang F C, Liu J, Yin X Y, et al. 2008. Modified Cauchy-constrained seismic blind deconvolution. Oil Geophysical Prospecting (in Chinese), 43(4):391-396.
Zhang Y G, Wang Y, Yin J J. 2010. Single point high density seismic data processing analysis and initial evaluation. OGP (in Chinese), 45(2):201-207.
Zhang Z J, He J D. 1990. Apparent anisotropy produced by the coupling of N thin-layered media. Journal of Changchun University of Earth Science (in Chinese), 20(2):223-231.
Zhao J L, Li N. 2008. Application of wavelet transform to high resolution sequence analysis. Progress in Geophysics (in Chinese), 23(4):1230-1235.
Zhao J L, Xiong R, Chen G, et al. 2014. Seismic inversion of frequency divisions reconstruction and its application thin interbedded sand reservoir prediction. Journal of Southwest Petroleum University (Science & Technology Edition)(in Chinese), 36(4):47-54.
Zhou Z S. 1993. AVO analysis of P-SV and SH waves. OGP (in Chinese), 28(4):430-438.
Zykov Y D, Lyakhovitskiy F M, Chervinskaya O P. 1984. Experimental investigation of transverse isotropy in ice/clay thin-layered periodic models. Geophys. J. R. astr. Soc., 76(1):269-272.
布列霍夫斯基赫. 1960. 分层介质中的波. 杨训仁译. 北京:科学出版社.
陈继松, 常旭. 1987. 储油薄层的地震响应及定量解释. 石油地球物理勘探, 22(4):386-399.
崔炯成, 吴眉, 李维新等. 2007. 高分辨率非线性地震波阻抗反演方法和应用. 石油物探, 46(1):1-12.
杜世通. 2004. 层序框架下的地震高分辨率资料解释. 油气地球物理, 2(4):66-77.
杜伟维, 金兆军, 邸永香. 2017. 地震波形指示反演及特征参数模拟在薄储层预测中的应用. 工程地球物理学报, 14(1):56-61.
高静怀, 王文秉, 朱光明. 1997. 小波变换与信号瞬时特征分析. 地球物理学报, 40(6):821-832.
高静怀, 陈凤, 陈树民. 2005. 利用地震瞬时谱属性进行薄互层分析. 煤田地质与勘探, 33(3):67-71.
高静怀, 万涛, 陈文超等. 2006. 三参数小波及其在地震资料分析中的应用. 地球物理学报, 49(6):1802-1812.
郭智奇, 刘财, 李向阳等. 2016. 非弹性层状介质地震波频变AVO响应模拟及分析. 地球物理学报, 59(2):664-672, doi:10.6038/cjg20160223.
韩利, 刘春成, 张益明等. 2016. 地震复谱分解技术及其在烃类检测中的应用. 地球物理学报, 59(3):1095-1101, doi:10.6038/cjg20160329.
黄捍东, 张如伟, 赵迪等. 2009. 地震反演与属性耦合检测薄层含气砂岩. 石油地球物理勘探, 44(2):185-189.
黄捍东, 赵迪, 任敦占等. 2011. 基于贝叶斯理论的薄层反演方法. 石油地球物理勘探, 46(6):919-924.
蒋雪珍, 芦俊, 王赟. 2017. 基于动态图像变形的PP与PS波层位直接匹配. 地球物理学报, 60(3):1106-1117, doi:10.6038/cjg20170322.
李国发, 岳英, 熊金良等. 2011. 基于三维模型的薄互层振幅属性实验研究. 石油地球物理勘探, 46(1):115-120.
李磊. 2008. 横向各向同性介质Thomsen近似公式的适用范围. 石油物探, 47(2):116-122.
李雪英, 陈树民, 王建民等. 2012. 薄层时频特征的正演模拟. 地球物理学, 55(10):3410-3419, doi:10.6038/j.issn.0001-5733.2012.10.024.
李跃, 徐果明, 施行觉等. 1995. 薄互层等效各向异性的实验研究. 石油地球物理勘探, 30(4):513-517.
李占东, 赵伟, 李阳等. 2011. 开发地震反演可行性研究及应用——以大庆长垣北部油田为例. 石油与天然气地质, 32(5):797-806.
凌云, 郭向宇, 高军等. 2010. 油藏地球物理面临的技术挑战与发展方向. 石油物探, 49(4):319-335.
刘万金, 周辉, 袁三一等. 2013. 谱反演在地震属性解释中的应用. 石油地球物理勘探, 48(3):423-428.
任金峰, 廖远涛, 孙鸣等. 2013. 基于小波变换的高精度层序地层定量划分研究及其应用. 地球物理学进展, 28(5):2651-2658, doi:10.6038/pg20130546.
石瑛, 芦俊, 杨震等. 2015. 平均入射角道集PP波与PS波联合反演. 地球物理学报, 58(12):4617-4627.
宿淑春, 王晓华. 2000. 分频波阻抗反演方法及其应用. 石油大学学报(自然科学版), 24(1):85-87.
孙鲁平, 郑晓东, 李劲松等. 2009. 基于峰值频率的薄层厚度计算公式及其近似. 应用地球物理, 6(3):234-240.
孙树海, 牛彦良. 1991. 薄互层条件下AVO技术的应用. 地球物理学报, 34(1):99-106.
唐文榜. 1987. 地震反射法中薄煤层分辨能力的研究. 地球物理学报, 30(6):641-652.
王保丽, 印兴耀, 丁龙翔等. 2015. 基于FFT-MA谱模拟的快速随机反演方法研究. 地球物理学报, 58(2):664-673, doi:10.6038/cjg20150227.
王濮, 金振奎, 李国发等. 2007. 薄层生物碎屑灰岩的地震属性检测. 石油物探, 46(4):390-393.
王赟, 刘媛媛, 张美根. 2017. 裂缝各向异性地震等效介质理论. 北京:科学出版社, 49-52.
沃特斯 K H. 1983. 反射地震学——能源勘探的工具. 许云, 吴荣祥译. 北京:石油工业出版社.
夏竹, 刘超颖, 魏文博等. 2005. 地震道时间域频率属性特征和地层层序划分. 石油地球物理勘探, 40(5):550-560.
徐果明, 李跃, 倪四道等. 1996. 薄互层等效横向各向同性的研究. 石油地球物理勘探, 31(6):792-805.
许云. 1981. 地震层状构造理论与地震模型——Ⅰ.理论评述. 石油物探, 20(1):1-16.
杨春, 王赟, 杨德义. 2014. 构造煤的地震可识别性特征. 煤炭学报, 39(S2):465-470.
杨春颖, 杨春, 陈双全等. 2017. 各向异性衰减薄层地震响应特征研究. 地球物理学报, 60(1):316-326, doi:10.6038/cjg20170126.
杨谦, 李正文. 1996. 地震资料宽带约束反演方法及应用. 石油物探, 35(4):37-42.
杨千里, 吴国忱. 2016. 基于贝叶斯理论的多尺度地震反演方法. 地球物理学进展, 31(3):1246-1256, doi:10.6038/pg20160343.
杨勤勇, 赵群, 王世星等. 2006. 纵波方位各向异性及其在裂缝检测中的应用. 石油物探, 45(2):177-181.
于建国, 韩文功, 刘力辉. 2006. 分频反演方法及应用. 石油地球物理勘探, 41(2):193-197.
苑春方, 彭苏萍, 唐申强等. 2014. 薄层复合波振幅与厚度函数关系的改进. 煤炭学报, 39(10):2083-2086.
袁子龙, 杨冰, 王建国. 1996. 薄层、薄互层地震反射时间域与频率域正演模拟研究及应用. 石油物探, 35(3):14-20.
张川, 杨春, 王赟. 2015. 关于薄层与单界面模型弹性反射透射系数的讨论. 煤田地质与勘探, 43(2):86-90.
张繁昌, 刘杰, 印兴耀等. 2008. 修正柯西约束地震盲反褶积方法. 石油地球物理勘探, 43(4):391-396.
张永刚, 王赟, 尹军杰. 2010. 单点高密度地震数据处理分析与初步评价. 石油地球物理勘探, 45(2):201-207.
张中杰, 何樵登. 1990. N个薄层介质组合引起的视各向异性. 长春地质学院学报, 20(2):223-231.
赵军龙, 李娜. 2008. 小波变换在高分辨率层序地层分析中的应用. 地球物理学进展, 23(4):1230-1235.
赵继龙, 熊冉, 陈戈等. 2014. 分频重构反演及在薄互层储层预测中的应用. 西南石油大学学报(自然科学版), 36(4):47-54.
周竹生. 1993. P-SV波和SH波的AVO分析. 石油地球物理勘探, 28(4):430-438.
[1] 李建有;石宝文;徐晓雅;胡家富. 利用远震接收函数探测四川盆地及周边地区的地壳结构[J]. 地球物理学报, 2018, 61(7): 2719-2735.
[2] 张正一;范建柯;白永良;董冬冬. 中国海-西太平洋地区典型剖面的重-磁-震联合反演研究[J]. 地球物理学报, 2018, 61(7): 2871-2891.
[3] 胡勇;韩立国;于江龙;陈瑞鼎. 基于自适应非稳态相位校正的时频域多尺度全波形反演[J]. 地球物理学报, 2018, 61(7): 2969-2988.
[4] 刘兴业;李景叶;陈小宏;李超;郭康康;周林. 联合多点地质统计学与序贯高斯模拟的随机反演方法[J]. 地球物理学报, 2018, 61(7): 2998-3007.
[5] 葛子建;李景叶;陈小宏;于鑫;吴建鲁. 基于贝叶斯线性AVAZ的TTI介质裂缝参数反演[J]. 地球物理学报, 2018, 61(7): 3008-3018.
[6] 付丽华;杨文采. 谱矩方法在磁源体深度反演中的应用研究[J]. 地球物理学报, 2018, 61(7): 3044-3054.
[7] 温少妍;单新建;张国宏;张迎峰;屈春燕;赵德政;李彦川. 基于InSAR和远场地震波联合反演2008年MW6.3大柴旦地震震源破裂过程[J]. 地球物理学报, 2018, 61(6): 2301-2309.
[8] 高建虎;桂金咏;李胜军;刘炳杨;王洪求;陈启艳. 基于角弹性参数的多波地震储层预测方法[J]. 地球物理学报, 2018, 61(6): 2459-2470.
[9] 殷长春;朱姣;邱长凯;蔡晶. 航空电磁拟三维模型空间约束反演[J]. 地球物理学报, 2018, 61(6): 2537-2547.
[10] 郭春玲;陈小斌. 大地电磁资料精细处理和二维反演解释技术研究(六)——交错模型的大地电磁二维反演[J]. 地球物理学报, 2018, 61(6): 2548-2559.
[11] 梁春涛;黄焱羚;王朝亮;刘志强;杨宜海;吴晶;何富君. 汶川和芦山地震之间地震空区综合研究进展[J]. 地球物理学报, 2018, 61(5): 1996-2010.
[12] 郑晨;丁志峰;宋晓东. 面波频散与接收函数联合反演南北地震带北段壳幔速度结构[J]. 地球物理学报, 2018, 61(4): 1211-1224.
[13] 宋超;盖增喜. 利用走时和波形拟合迭代反演阿拉善地壳速度结构及2015年阿拉善左旗5.8级地震震源机制[J]. 地球物理学报, 2018, 61(4): 1225-1237.
[14] 杨佳佳;张永庆;谢富仁. 日本海沟俯冲带MW9.0地震震源区应力场演化分析[J]. 地球物理学报, 2018, 61(4): 1307-1324.
[15] 杨颖航;王真理;徐涛;杨长春. 三维TTI介质高效射线追踪方法[J]. 地球物理学报, 2018, 61(4): 1421-1433.
浏览
全文


摘要

被引

  分享   
  讨论   
No Suggested Reading articles found!