Polarization analysis of inhomogenously refracted P-wave induced at VTI rock interface
Fa Lin1, Zhang Xiaolin1, Xi Bingjie1, Zhou Xin1, Mou Jinpeng2, Yang Hong1
1. School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an, Shaanxi 710121, China; 2. School of Communication and Information Engineering, Xi'an University of Posts and Telecommunications, Xi'an, Shaanxi 710121, China
Abstract:In this paper, we study the polarization state of inhomogeneous refracted P-wave induced by two anisotropic rock interfaces.The first model is the interface between anisotropic shale and Taylor sandstone and the second one is the interface between anisotropic shale and oil shale.There is not any anomalous incident-angle for the first interface model, and there is an anomalous incident-angle corresponding to the refracted P-wave for the second interface model.An elliptical-polarization equation of the inhomogenous refracted P-wave is also derived.The calculated results show that the anomalous incident angle causes not only sharp variation of the shape and size of the elliptical-polarization trajectory, but also changes of the elliptical-polarization rotation direction.
作者简介: 法林,教授级高工,1955年生;1982年获山东大学物理学专业理学学士学位;曾在挪威科学技术大学、挪威大陆架石油研究中心、美国俄克拉荷马大学和美国休斯敦大学等机构学习、工作近7年;研究领域为声光电交叉学科在工业(包括石油测井、地球物理勘探和岩石物理)中的应用;在国内外期刊共发表论文90余篇,并为《Journal of Geophysics and Engineering》及《Journal of Micromechanics and Microengineering》等期刊审稿人;现为西安邮电大学光学工程学科带头人、学术委员会委员,主持和完成了多项科研项目。
引用本文:
法林, 张晓琳, 席冰洁, 周鑫, 牟锦鹏, 杨宏. VTI岩石界面产生的非均匀折射P波极化状态分析[J]. 石油地球物理勘探, 2018, 53(2): 266-271.
Fa Lin, Zhang Xiaolin, Xi Bingjie, Zhou Xin, Mou Jinpeng, Yang Hong. Polarization analysis of inhomogenously refracted P-wave induced at VTI rock interface. Oil Geophysical Prospecting, 2018, 53(2): 266-271.
Crampin S,Stephen R A,McGonigle R.The polarization of P waves in anisotropic media.Geophysical Journal International,1982,68(2):477-485.
[2]
Tsvankin I D,Chesnokov E M.Synthetic of body waves seismograms from point sources in anisotropic media.Journal of Geophysical Research:Solid Earth,1990,95(B7):11317-11331.
[3]
Červený V.Seismic Ray Theory.Cambridge University Press,Cambridge,UK,2001,78-82.
[4]
Carcione J M.Wave Fields in Real Media:Wave Pro-pagation in Anisotropic,Anelastic and Porous Media.Elsevier,Amsterdam,2007.
[5]
Fa L,Castagna J P,Dong H.An accurately fast algorithm of calculating reflection/transmission coefficients.Science China Physics Mechanics & Astronomy,2008,51(7):823-846.
[6]
Fa L,Castagna J P,Zeng Z et al.Effects of anisotropy on time-depth relation in transversely isotropic me-dium with a vertical axis of symmetry.China Science Bulletin,2010,55(21):2243-2251.
[7]
Fa L,Zhao M,Liu Y et al.Polarization of plane wave propagating inside elastic hexagonal crystal solids.Science China Physics Mechanics & Astronomy,2014,57(2):251-262.
[8]
徐文才,杨国权,李振春等.横向各向同性介质拟声波一阶速度-应力方程.石油地球物理勘探,2016,51(1):87-96.Xu Wencai,Yang Guoquan,Li Zhenchun et al.First order velocity-stress equation in TI media.OGP,2016,51(1):87-96.
[9]
Fa L,Zhao J,Han Y et al.The influence of rock anisotropy on elliptical-polarization state of inhomogenously refracted P-wave.Science China Physics Mechanics & Astronomy,2016,59(4):263-272.
[10]
法林,聂琳,成洪申.用经典定理证明各向异性岩石界面异常入射角的存在.石油地球物理勘探,2017,52(2):248-252.Fa Lin,Nie Lin,Cheng Hongshen.Existence of ano-malous incident-angle on anisotropy rock interface verified by classic laws.OGP,2017,52(2):248-252.
[11]
张恒磊,胡哲,胡祥云等.基于反射波各向异性特征的保真去噪方法.石油地球物理勘探,2017,52(2):233-241.Zhang Henglei,Hu Zhe,Hu Xiangyun et al.Seismic fidelity de-noising with reflection anisotropy.OGP,2017,52(2):233-241.
[12]
羊屋三维处理、解释一体化方法研究组.纵波VTI介质理论与应用研究.石油地球物理勘探,2002,37(3):267-275.Research Group for 3-D Processing and Interpretation Integrated Method.Research on P-wave theory in VTI media and its application.OGP,2002,37(3):267-275.
[13]
羊屋三维处理、解释一体化方法研究组.VTI介质的AVO理论与应用研究.石油地球物理勘探,2002,37(4):363-371.Research Group of Method for Yangwu 3-D Integrating Processing into Interpretation.Study of AVO theory and its application in VTI medium.OGP,2002,37(4):363-371.
[14]
刘瑞合,赵金玉,印兴耀等.VTI介质各向异性参数层析反演策略与应用.石油地球物理勘探,2017,52(3):484-490.Liu Ruihe,Zhao Jinyu,Yin Xingyao et al.Strategy of anisotropic parameter tomography inversion in VTI medium.OGP,2017,52(3):484-490.
[15]
李勤,李庆春,张林.VTI介质多波各向异性参数分析.石油地球物理勘探,2014,49(3):503-507.Li Qin,Li Qingchun,Zhang Lin.Anisotropic parameter analysis of multi-component data in VTI media.OGP,2014,49(3):503-507.
[16]
Hosten B.Reflection and transmission of acoustic plane waves on an immersed orthotropic and visco-elastic solid layer.Journal of the Acoustical Society of America,1991,89(6):2745-2753.
[17]
Lanceleur P,Ribeiro H,Belleval J D.The use of inhomogenous waves in the reflection-transmission problem at a plane interface between two anisotropic media.Journal of the Acoustical Society of America,1993,93(4):1882-1892.
[18]
Helbig K,Schoenberg M.Anomalous polarization of elastic waves in transversely isotropic media.Journal of the Acoustical Society of America,1987,81(5):1235-1245.
[19]
Daley P D,Hron F.Reflection and transmission coefficients for transversely isotropic media.Bulletin of the Seismological Society of America,1977,67(3):661-675.
[20]
Fa L,Brown R L,Castagna J P.Anomalous post-critical refraction behavior for certain transversely isotropic media.Journal of the Acoustical Society of America,2006,120(6):3479-3492.
[21]
Auld B A.Acoustic Fields and Waves in Solids.John Wiley and Sons,New York,1973,107-124.