基于接收函数与背景噪声联合反演的研究与应用
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摘要
本文回顾了接收函数线性反演及接收函数与频散曲线联合反演的理论.为了检验两种方法在实测数据中的应用效果,我们选择云南区域台网位于四个不同次级块体的四个台站为例:首先,计算了四个台站的远震P波接收函数;然后,分别运用接收函数线性反演和接收函数与背景噪声数据联合反演两种方法分别得到台站下方的S波速度结构;另外,运用H-k扫描方法验证两种反演方法获取的莫霍面深度的可靠性.在反演过程中,当我们提供具有深一些莫霍面的初始模型时,联合反演获取的莫霍面深度与H-k扫描结果具有很好的一致性,同时联合反演也能有效地捕捉低速层,对反演的S波速度也有较好的约束.由此推知,加入背景噪声相速度数据后的联合反演对初始模型的依赖性低于单独用接收函数反演的结果.
In this article we review the theories of Receiver Functions(RFS) linearized inversion and joint inversion of RFS and dispersion curves. To test the application of those two methods in real data, we take 4 stations located in 4 deferent geotectonics which belong to Yunnan area as examples. Firstly we obtain 181 teleseismic waveforms and compute the P receiver functions of these 4 stations. Then we select the RFS with good Signal to Noise Ratio(SNR) and without stacking to inverse these 4 stations' S wave velocity by the two methods mentioned above. In the joint inversion method, the Rayleigh Wave Phase Velocities(RWPV) dispersion curves come from ambient noise tomography phase velocities distribution data. In addition, we use the H-k scanning technology to verify the reliability of Moho depths from inversions. According to the results of inversions we find that when we apply an initial model with deeper Moho discontinuity surface, the joint inversion method can obtain reliable Moho depths according well with H-k scanning method. Meanwhile the joint inversion method can restrain well on the inversed S wave velocity structure comparing to just by RFS inversion. Thus we infer that the joint inversion method depends less on initial model than RFS linearized inversion method.
In this article we review the theories of Receiver Functions(RFS) linearized inversion and joint inversion of RFS and dispersion curves. To test the application of those two methods in real data, we take 4 stations located in 4 deferent geotectonics which belong to Yunnan area as examples. Firstly we obtain 181 teleseismic waveforms and compute the P receiver functions of these 4 stations. Then we select the RFS with good Signal to Noise Ratio(SNR) and without stacking to inverse these 4 stations' S wave velocity by the two methods mentioned above. In the joint inversion method, the Rayleigh Wave Phase Velocities(RWPV) dispersion curves come from ambient noise tomography phase velocities distribution data. In addition, we use the H-k scanning technology to verify the reliability of Moho depths from inversions. According to the results of inversions we find that when we apply an initial model with deeper Moho discontinuity surface, the joint inversion method can obtain reliable Moho depths according well with H-k scanning method. Meanwhile the joint inversion method can restrain well on the inversed S wave velocity structure comparing to just by RFS inversion. Thus we infer that the joint inversion method depends less on initial model than RFS linearized inversion method.
引文
Ammon C J.1991.The isolation of receiver effects from teleseismic P waveforms [J] Bull.Seism.Soc.Am.,81(6):2504-2510.
Ammon C J,Randall G E,Zandt G.1990.On the nonuniqueness of receiver function inversions [J].J.Geophys.Res.,95(10):15303-15318.
Bao X,Sun X,Xu M,et al.2015.Two crustal low-velocity channels beneath SE Tibet revealed by joint inversion of Rayleigh wave dispersion and receiver functions [J].Earth Planet.Sci.Lett.,415:16-24.
Chen J L,Hu J F,Yang H Y,et al.2013.Research on crust structure of Chongqing and its adjacent area [J].Journal of seismological research (in Chinese),36(4):478- 484.
Chen M,Huang H,Yao H,et al.2014.Low wave speed zones in the crust beneath SE Tibet revealed by ambient noise adjoint tomography [J].Geophys.Res.Lett.,41(2):334-340,doi:10.1002/2013GL058476.
Guo Z,Chen Y J.2017.Mountain building at northeastern boundary of Tibetan Plateau and craton reworking at Ordos block from joint inversion of ambient noise tomography and receiver functions [J].Earth Planet.Sci.Lett.,463:232-242.
Guo Z,Chen Y J,Ning J,et al.2015.High resolution 3-D crustal structure beneath NE China from joint inversion of ambient noise and receiver functions using NECESSArray data [J].Earth Planet.Sci.Lett.,416:1-11.
He C S,Wang C Y,Wu J P.2004.S-wave velocity structure inferred from re-ceiver function inversion in Tengchong volcanic area [J].Acta Seismologica Sinica,17(1):12-19.
Hu J F,Su Y J,Zhu X G,et al.2003.S-wave velocity and Poisson’s ratio structure of crust in Yunnan and its implication [J].Science in China (SERIES D) (in Chinese),33(8):714-722.
Hu J F,Yang H Y,Li G Q,et al.2015.Seismic upper mantle discontinuities beneath Southeast Tibet and geodynamic implications [J].Gondwana Research,28(3):1032-1047.
Hu J F,Zhu X G,Xia J Y,et al.2005.Using Surface Wave and Receiver Function to Jointly Inverse the Crust-Mantle Velocity Structure in the West Yunnan Area [J].Chinese J.Geophys.(in Chinese),48(5):1069-1076.
Julià J,Ammon C J,Herrmann R B,et al.2000.Joint inversion of receiver function and surface wave dispersion observations [J].Geophys.J.Int.,143(1):99-112.
Kan R J,Han Y.1992.The specification of geological transect from ZheFang to MaLong in Yunnan,1：1000000[M].Beijing:Seismological Press,(in Chinese).
Kennett B L N,Engdahl E R,Buland R.1995.Constraints on seismic velocities in the EARTH from traveltimes [J].Geophys.J.Int.,122(1):108-124.
Kind R,Kosarev G L,Petersen N V.1995.Receiver functions at the stations of the German Regional Seismic Network (GRSN) [J].Geophys.J.Int.,121(1):191-202.
Langston C A.1979.Structure under Mount Rainier,Washington,inferred from Teleseismic Body Waves [J].J.Geophys.Res.,84(B9):4749- 4762.
Li C,van der Hilst R D,Meltzer A S,et al.2008.Subduction of the Indian lithosphere beneath the Tibetan Plateau and Burma [J].Earth Planet.Sci.Lett.,274(1-2):157-168.
Li H Y,Su W,Wang C Y,et al.2009a.Ambient noise Rayleigh wave tomography in western Sichuan and eastern Tibet [J].Earth Planet.Sci.Lett.,282(1- 4):201-211.
Li M,Zhang S,Wang F,et al.2016.Crustal and upper-mantle structure of the southeastern Tibetan Plateau from joint analysis of surface wave dispersion and receiver functions [J].Journal of Asian Earth Sciences,117(9):52- 63.
Li X,Kind R,Priestley K,et al.2000.Mapping the Hawaiian plume conduit with converted seismic waves [J].Nature,405(6789):938-941.
Ligorría J P,Ammon C J.1999.Iterative deconvolution and receiver-function estimation[J].Bull.Seism.Soc.Am.,89(5):1395-1400.
Liu Q Y,Rainer K,Li S C.1996.Maximal likelihood estimation and nonlinear inversion of the complex receiver function spectrum ratio [J].Chinese J.Geophys.(in Chinese),39(4):500-510.
Liu Q Y,Rainer K,Li S C.1997.The receiver functions at the stations of the Chinese digital seismic network (CDSN) and their nonlinear inversion[J].Chinese J.Geophys.(in Chinese),40(3):356-368.
Liu Q Y,van der Hilst R D,Li Y,et al.2014.Eastward expansion of the Tibetan Plateau by crustal flow and strain partitioning across faults [J].Nat.Geosci,7:361-365.
Li Y,Yao H J,Liu Q Y,et al.2010.Phase velocity array tomography of Rayleigh waves in western Sichuan from ambient seismic noise [J].Chinese J.Geophys.(in Chinese),53(4):842-852,doi:10.3969/j.issn.0001-5733.2010.04.009.
Li Y H,Wu Q J,Tian X B,et al.2009b.Crustal structure in the Yunnan region determined by modeling receiver functions [J].Chinese J.Geophys.(in Chinese),52(1):67-80.
Owens T J,Taylor S R,Zandt G.1987.Crustal structure at regional seismic test network stations determined from inversion of broadband teleseismic P waveforms[J].Bull.Seism.Soc.Am.,77(2):631- 662.
Owens T J,Zandt G,Taylor S R.1984.Seismic Evidence for an Ancient Rift Beneath the Cumberland Plateau,Tennessee:A Detailed Analysis of Broadband Teleseismic P Waveforms [J].J.Geophys.Res.,89(B9):7783-7795.
Sambridge M.1999a.Geophysical inversion with a neighbourhood algorithm-I.Searching a parameter space [J].Geophys.J.Int.,138(2):479- 494.
Sambridge M.1999b.Geophysical inversion with a neighbourhood algorithm -II.Appraising the ensemble [J].Geophys.J.Int.,138(3),727-746.
Shapiro N M,Campillo M.2004.Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise [J].Geophys.Res.Lett.,31(7):L07614.
Sun X X,Bao X W,Xu M J,et al.2014.Crustal structure beneath SE Tibet from joint analysis of receiver functions and Rayleigh wave dispersion [J].Geophys.Res.Lett.,41(5):1479-1484.
Wang C Y,Huangfu G.2004.Crustal structure in Tengchong Volcano-Geothermal Area,western Yunnan,China [J].Tectonophysics,380(1-2):69-87.
Wu Q J,Li Y H,Zhang R Q,et al.2007.2D Kirchhoff Migration for Receiver Function [J].Chinese J.Geophys.(in Chinese),50(2):539-545,doi:10.3321/j.issn:0001-5733.2007.02.027.
Wu Q J,Tian X B,Zhang N L,et al.2003a.Inversion of receiver function by wavelet transformation [J].Earthquake Science (in Chinese),25(6):601- 607.
Wu Q J,Tian X B,Zhang N L,et al.2003b.Receiver function estimated by maximum entropy deconvolution [J].Earthquake Science (in Chinese),25(4):382-389.
Wu Q J,Zeng R S.1998.The crustal structure of Qinghai-Xizang plateau inferred from broadband teleseismic waveform [J].Chinese J.Geophys.(in Chinese),41(5):669- 679.
Yang H Y,Hu J F,Hu YL,et al.2013.Crustal structure in the Tengchong volcanic area and position of the magma chambers [J].Journal of Asian Earth Sciences,73(8):48-56.
Yang X T,Xu Y,Liu J H,et al.2011.Seismic tomography in the Tengchong volcanic area and its tectonic implication [J].Chinese J.Geophys.(in Chinese),54(8):2050-2059,doi:10.3969/j.issn.0001-5733.2011.08.012.
Yang Y,Li A,Ritzwoller M H.2008.Crustal and uppermost mantle structure in southern Africa revealed from ambient noise and teleseismic tomography [J].Geophys.J.Int.,174(1):235-248.doi:10.1111/j.1365-246X.2008.03779.x.
Yang Y,Zheng Y,Chen J.2010.Rayleigh wave phase velocity maps of Tibet and the surrounding regions from ambient seismic noise tomography [J].Geochem.Geophys.Geosyst.,11(8):Q08010,doi:10.1029/2010GC003119.
Yao H,van der Hilst R D,de Hoop M V.2006.Surface-wave array tomography in SE Tibet from ambient seismic noise and two-station analysis:I.Phase velocity maps [J].Geophys.J.Int.,166(2):732-744.
Yuan X,Ni J,Kind R,et al.1997.Lithospheric and upper mantle structure of southern Tibet from a seismological passive source experiment [J].J.GeoPhys.Res.,102(B12):27491-27500.
Zandt G,Ammon C J.1995.Continental crust composition constrained by measurements of crustal Poisson’s ratio [J].Nature,374(9):152-154.
Zheng C,Ding Z F,Song X D.2016.Joint inversion of surface wave dispersion and receiver functions for crustal and uppermost mantle structure in Southeast Tibetan Plateau [J].Chinese J.Geophys.(in Chinese),59(9):3223-3236,doi:10.6038/cjg20160908.
Zheng D C,Ge Z X,Yang R H,et al.2014.Broadband ambient noise tomography in Yunnan Province [J].Acta Seismologica Sinica (in Chinese),36(4):602- 614,doi:10.3969/j.issn.0253-3782.2014.04.007.
Zheng D C,Saygin E,Cummins P,et al.2017.Transdimensional Bayesian seismic ambient noise tomography across SE Tibet [J].Journal of Asian Earth Sciences,134:86-93,doi:10.1016/j.jseaes.2016.11.011.
Zhou H L,Yang Y.2003.Peeling Genetic Algorithm of Receiver Functions Inversion for Upper Mantle Structure and Discontinuities [J].Chinese J.Geophys.(in Chinese),46(3):382-389,doi:10.3321/j.issn:0001-5733.2003.03.016.
Zhu L,Kanamori H.2000.Moho depth variation in southern California from teleseismic receiver functions [J].J.GeoPhys.Res.,105(B2):2969-2980.
陈俊磊,胡家富,杨海燕,等.2013.重庆及其邻区地壳结构研究[J].地震研究,36(4):478- 484.
胡家富,苏有锦,朱雄关,等.2003.云南的地壳S波速度与泊松比结构及其意义[J].中国科学(D辑),33(8):714-722.
胡家富,朱雄关,夏静瑜,等.2005.利用面波和接收函数联合反演滇西地区壳幔速度结构[J].地球物理学报,48(5):1069-1076.
阚荣举,韩源.1992.云南遮放至马龙地学断面说明书,1：1000000[M].北京:地震出版社.
李昱,姚华建,刘启元,等.2010.川西地区台阵环境噪声瑞利波相速度层析成像[J].地球物理学报,53(4):842-852,doi:10.3969/j.issn.0001-5733.2010.04.009.
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吴庆举,李永华,张瑞青,等.2007.接收函数的克希霍夫2D 偏移方法[J].地球物理学报,50(2):539-545,doi:10.3321/j.issn:0001-5733.2007.02.027.
吴庆举,田小波,张乃铃,等.2003a.用小波变换方法反演接收函数[J].地震学报,25(6):601- 607.
吴庆举,田小波,张乃铃,等.2003b.计算台站接收函数的最大熵谱反褶积方法[J].地震学报,25(4):382-389.
吴庆举,曾融生.1998.用宽频带远震接收函数研究青藏高原的地壳结构[J].地球物理学报,41(5):669- 679.
杨晓涛,胥颐,刘建华,等.2011.腾冲火山区的地震层析成像及其构造意义[J].地球物理学报,54(8):2050-2059,doi:10.3969/j.issn.0001-5733.2011.08.012.
郑晨,丁志峰,宋晓东.2016.利用面波频散与接收函数联合反演青藏高原东南缘地壳上地幔速度结构[J].地球物理学报,59(9):3223-3236,doi:10.6038/cjg20160908.
郑定昌,盖增喜,杨润海,等.2014.云南地区背景噪声层析成像[J].地震学报,36(4):602- 614,doi:10.3969/j.issn.0253-3782.2014.04.007.
周蕙兰,杨毅.2003.接收函数反演上地幔速度结构和间断面的剥壳遗传算法[J].地球物理学报,46(3):382-389,doi:10.3321/j.issn:0001-5733.2003.03.016.
Ammon C J,Randall G E,Zandt G.1990.On the nonuniqueness of receiver function inversions [J].J.Geophys.Res.,95(10):15303-15318.
Bao X,Sun X,Xu M,et al.2015.Two crustal low-velocity channels beneath SE Tibet revealed by joint inversion of Rayleigh wave dispersion and receiver functions [J].Earth Planet.Sci.Lett.,415:16-24.
Chen J L,Hu J F,Yang H Y,et al.2013.Research on crust structure of Chongqing and its adjacent area [J].Journal of seismological research (in Chinese),36(4):478- 484.
Chen M,Huang H,Yao H,et al.2014.Low wave speed zones in the crust beneath SE Tibet revealed by ambient noise adjoint tomography [J].Geophys.Res.Lett.,41(2):334-340,doi:10.1002/2013GL058476.
Guo Z,Chen Y J.2017.Mountain building at northeastern boundary of Tibetan Plateau and craton reworking at Ordos block from joint inversion of ambient noise tomography and receiver functions [J].Earth Planet.Sci.Lett.,463:232-242.
Guo Z,Chen Y J,Ning J,et al.2015.High resolution 3-D crustal structure beneath NE China from joint inversion of ambient noise and receiver functions using NECESSArray data [J].Earth Planet.Sci.Lett.,416:1-11.
He C S,Wang C Y,Wu J P.2004.S-wave velocity structure inferred from re-ceiver function inversion in Tengchong volcanic area [J].Acta Seismologica Sinica,17(1):12-19.
Hu J F,Su Y J,Zhu X G,et al.2003.S-wave velocity and Poisson’s ratio structure of crust in Yunnan and its implication [J].Science in China (SERIES D) (in Chinese),33(8):714-722.
Hu J F,Yang H Y,Li G Q,et al.2015.Seismic upper mantle discontinuities beneath Southeast Tibet and geodynamic implications [J].Gondwana Research,28(3):1032-1047.
Hu J F,Zhu X G,Xia J Y,et al.2005.Using Surface Wave and Receiver Function to Jointly Inverse the Crust-Mantle Velocity Structure in the West Yunnan Area [J].Chinese J.Geophys.(in Chinese),48(5):1069-1076.
Julià J,Ammon C J,Herrmann R B,et al.2000.Joint inversion of receiver function and surface wave dispersion observations [J].Geophys.J.Int.,143(1):99-112.
Kan R J,Han Y.1992.The specification of geological transect from ZheFang to MaLong in Yunnan,1：1000000[M].Beijing:Seismological Press,(in Chinese).
Kennett B L N,Engdahl E R,Buland R.1995.Constraints on seismic velocities in the EARTH from traveltimes [J].Geophys.J.Int.,122(1):108-124.
Kind R,Kosarev G L,Petersen N V.1995.Receiver functions at the stations of the German Regional Seismic Network (GRSN) [J].Geophys.J.Int.,121(1):191-202.
Langston C A.1979.Structure under Mount Rainier,Washington,inferred from Teleseismic Body Waves [J].J.Geophys.Res.,84(B9):4749- 4762.
Li C,van der Hilst R D,Meltzer A S,et al.2008.Subduction of the Indian lithosphere beneath the Tibetan Plateau and Burma [J].Earth Planet.Sci.Lett.,274(1-2):157-168.
Li H Y,Su W,Wang C Y,et al.2009a.Ambient noise Rayleigh wave tomography in western Sichuan and eastern Tibet [J].Earth Planet.Sci.Lett.,282(1- 4):201-211.
Li M,Zhang S,Wang F,et al.2016.Crustal and upper-mantle structure of the southeastern Tibetan Plateau from joint analysis of surface wave dispersion and receiver functions [J].Journal of Asian Earth Sciences,117(9):52- 63.
Li X,Kind R,Priestley K,et al.2000.Mapping the Hawaiian plume conduit with converted seismic waves [J].Nature,405(6789):938-941.
Ligorría J P,Ammon C J.1999.Iterative deconvolution and receiver-function estimation[J].Bull.Seism.Soc.Am.,89(5):1395-1400.
Liu Q Y,Rainer K,Li S C.1996.Maximal likelihood estimation and nonlinear inversion of the complex receiver function spectrum ratio [J].Chinese J.Geophys.(in Chinese),39(4):500-510.
Liu Q Y,Rainer K,Li S C.1997.The receiver functions at the stations of the Chinese digital seismic network (CDSN) and their nonlinear inversion[J].Chinese J.Geophys.(in Chinese),40(3):356-368.
Liu Q Y,van der Hilst R D,Li Y,et al.2014.Eastward expansion of the Tibetan Plateau by crustal flow and strain partitioning across faults [J].Nat.Geosci,7:361-365.
Li Y,Yao H J,Liu Q Y,et al.2010.Phase velocity array tomography of Rayleigh waves in western Sichuan from ambient seismic noise [J].Chinese J.Geophys.(in Chinese),53(4):842-852,doi:10.3969/j.issn.0001-5733.2010.04.009.
Li Y H,Wu Q J,Tian X B,et al.2009b.Crustal structure in the Yunnan region determined by modeling receiver functions [J].Chinese J.Geophys.(in Chinese),52(1):67-80.
Owens T J,Taylor S R,Zandt G.1987.Crustal structure at regional seismic test network stations determined from inversion of broadband teleseismic P waveforms[J].Bull.Seism.Soc.Am.,77(2):631- 662.
Owens T J,Zandt G,Taylor S R.1984.Seismic Evidence for an Ancient Rift Beneath the Cumberland Plateau,Tennessee:A Detailed Analysis of Broadband Teleseismic P Waveforms [J].J.Geophys.Res.,89(B9):7783-7795.
Sambridge M.1999a.Geophysical inversion with a neighbourhood algorithm-I.Searching a parameter space [J].Geophys.J.Int.,138(2):479- 494.
Sambridge M.1999b.Geophysical inversion with a neighbourhood algorithm -II.Appraising the ensemble [J].Geophys.J.Int.,138(3),727-746.
Shapiro N M,Campillo M.2004.Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise [J].Geophys.Res.Lett.,31(7):L07614.
Sun X X,Bao X W,Xu M J,et al.2014.Crustal structure beneath SE Tibet from joint analysis of receiver functions and Rayleigh wave dispersion [J].Geophys.Res.Lett.,41(5):1479-1484.
Wang C Y,Huangfu G.2004.Crustal structure in Tengchong Volcano-Geothermal Area,western Yunnan,China [J].Tectonophysics,380(1-2):69-87.
Wu Q J,Li Y H,Zhang R Q,et al.2007.2D Kirchhoff Migration for Receiver Function [J].Chinese J.Geophys.(in Chinese),50(2):539-545,doi:10.3321/j.issn:0001-5733.2007.02.027.
Wu Q J,Tian X B,Zhang N L,et al.2003a.Inversion of receiver function by wavelet transformation [J].Earthquake Science (in Chinese),25(6):601- 607.
Wu Q J,Tian X B,Zhang N L,et al.2003b.Receiver function estimated by maximum entropy deconvolution [J].Earthquake Science (in Chinese),25(4):382-389.
Wu Q J,Zeng R S.1998.The crustal structure of Qinghai-Xizang plateau inferred from broadband teleseismic waveform [J].Chinese J.Geophys.(in Chinese),41(5):669- 679.
Yang H Y,Hu J F,Hu YL,et al.2013.Crustal structure in the Tengchong volcanic area and position of the magma chambers [J].Journal of Asian Earth Sciences,73(8):48-56.
Yang X T,Xu Y,Liu J H,et al.2011.Seismic tomography in the Tengchong volcanic area and its tectonic implication [J].Chinese J.Geophys.(in Chinese),54(8):2050-2059,doi:10.3969/j.issn.0001-5733.2011.08.012.
Yang Y,Li A,Ritzwoller M H.2008.Crustal and uppermost mantle structure in southern Africa revealed from ambient noise and teleseismic tomography [J].Geophys.J.Int.,174(1):235-248.doi:10.1111/j.1365-246X.2008.03779.x.
Yang Y,Zheng Y,Chen J.2010.Rayleigh wave phase velocity maps of Tibet and the surrounding regions from ambient seismic noise tomography [J].Geochem.Geophys.Geosyst.,11(8):Q08010,doi:10.1029/2010GC003119.
Yao H,van der Hilst R D,de Hoop M V.2006.Surface-wave array tomography in SE Tibet from ambient seismic noise and two-station analysis:I.Phase velocity maps [J].Geophys.J.Int.,166(2):732-744.
Yuan X,Ni J,Kind R,et al.1997.Lithospheric and upper mantle structure of southern Tibet from a seismological passive source experiment [J].J.GeoPhys.Res.,102(B12):27491-27500.
Zandt G,Ammon C J.1995.Continental crust composition constrained by measurements of crustal Poisson’s ratio [J].Nature,374(9):152-154.
Zheng C,Ding Z F,Song X D.2016.Joint inversion of surface wave dispersion and receiver functions for crustal and uppermost mantle structure in Southeast Tibetan Plateau [J].Chinese J.Geophys.(in Chinese),59(9):3223-3236,doi:10.6038/cjg20160908.
Zheng D C,Ge Z X,Yang R H,et al.2014.Broadband ambient noise tomography in Yunnan Province [J].Acta Seismologica Sinica (in Chinese),36(4):602- 614,doi:10.3969/j.issn.0253-3782.2014.04.007.
Zheng D C,Saygin E,Cummins P,et al.2017.Transdimensional Bayesian seismic ambient noise tomography across SE Tibet [J].Journal of Asian Earth Sciences,134:86-93,doi:10.1016/j.jseaes.2016.11.011.
Zhou H L,Yang Y.2003.Peeling Genetic Algorithm of Receiver Functions Inversion for Upper Mantle Structure and Discontinuities [J].Chinese J.Geophys.(in Chinese),46(3):382-389,doi:10.3321/j.issn:0001-5733.2003.03.016.
Zhu L,Kanamori H.2000.Moho depth variation in southern California from teleseismic receiver functions [J].J.GeoPhys.Res.,105(B2):2969-2980.
陈俊磊,胡家富,杨海燕,等.2013.重庆及其邻区地壳结构研究[J].地震研究,36(4):478- 484.
胡家富,苏有锦,朱雄关,等.2003.云南的地壳S波速度与泊松比结构及其意义[J].中国科学(D辑),33(8):714-722.
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