Direct-seismogram inversion for receiver-side structure with uncertain source–time functions

Jan Dettmer,1,2 Stan E. Dosso,1 Thomas Bodin,3,4 Josip Stipčević2,5 and Phil R. Cummins2 1School of Earth and Ocean Sciences, University of Victoria, Victoria BC, Canada. E-mail: jand@uvic.ca 2Research School of Earth Sciences, Australian National University, Canberra ACT, Australia 3Berkeley Seismological Laboratory, 215 McCone Hall, UC Berkeley, Berkeley CA 94720-4760, USA 4Laboratoire de Géologie de Lyon, École Normale Superieure de Lyon, Université de Lyon-1, CNRS, F-69364 Lyon Cedex 07, France 5Department of Geophysics, Faculty of Science, University of Zagreb, Zagreb, Croatia

[1]  E. Haber,et al.  Blind deconvolution of seismograms regularized via minimum support , 2010 .

[2]  M. Sambridge Geophysical inversion with a neighbourhood algorithm—I. Searching a parameter space , 1999 .

[3]  R. Kind,et al.  Seismic receiver functions and the lithosphere–asthenosphere boundary , 2012 .

[4]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[5]  Jan Dettmer,et al.  Trans-dimensional finite-fault inversion , 2014 .

[6]  L. J. Burdick,et al.  Modeling crustal structure through the use of converted phases in teleseismic body-wave forms , 1977, Bulletin of the Seismological Society of America.

[7]  Michael G. Bostock,et al.  Seismic evidence for overpressured subducted oceanic crust and megathrust fault sealing , 2009, Nature.

[8]  Andrew Gelman,et al.  Handbook of Markov Chain Monte Carlo , 2011 .

[9]  Charles A. Langston,et al.  Structure under Mount Rainier, Washington, inferred from teleseismic body waves , 1979 .

[10]  R. Kind,et al.  Receiver function summation without deconvolution , 2010 .

[11]  G. Ekström A global model of Love and Rayleigh surface wave dispersion and anisotropy, 25–250 s , 2011 .

[12]  G. H. F. Gardner,et al.  FORMATION VELOCITY AND DENSITY—THE DIAGNOSTIC BASICS FOR STRATIGRAPHIC TRAPS , 1974 .

[13]  Jan Dettmer,et al.  Trans-dimensional matched-field geoacoustic inversion with hierarchical error models and interacting Markov chains. , 2012, The Journal of the Acoustical Society of America.

[14]  Albert Tarantola,et al.  Inverse problem theory - and methods for model parameter estimation , 2004 .

[15]  W. Walter,et al.  A multistep approach for joint modeling of surface wave dispersion and teleseismic receiver functions: Implications for lithospheric structure of the Arabian Peninsula , 2006 .

[16]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[17]  A. Malinverno,et al.  Receiver function inversion by trans‐dimensional Monte Carlo sampling , 2010 .

[18]  Robert W. Clayton,et al.  Source shape estimation and deconvolution of teleseismic bodywaves , 1976 .

[19]  M. Ritzwoller,et al.  Monte-Carlo inversion for a global shear-velocity model of the crust and upper mantle , 2002 .

[20]  Malcolm Sambridge,et al.  A Parallel Tempering algorithm for probabilistic sampling and multimodal optimization , 2014 .

[21]  J. Dettmer,et al.  Bayesian inference for ultralow velocity zones in the Earth's lowermost mantle: Complex ULVZ beneath the east of the Philippines , 2014 .

[22]  Stan E. Dosso,et al.  Transdimensional uncertainty estimation for dispersive seabed sediments , 2013 .

[23]  M. Sambridge,et al.  Trans-dimensional inverse problems, model comparison and the evidence , 2006 .

[24]  J. Saul,et al.  Seismic Images of Crust and Upper Mantle Beneath Tibet: Evidence for Eurasian Plate Subduction , 2002, Science.

[25]  B. Minsley A trans-dimensional Bayesian Markov chain Monte Carlo algorithm for model assessment using frequency-domain electromagnetic data , 2011 .

[26]  P. Shearer,et al.  Global mapping of topography on transition zone velocity discontinuities by stacking SS precursors , 1998 .

[27]  C. Reigber,et al.  Crust and mantle of the Tien Shan from data of the receiver function tomography , 2006 .

[28]  Charles J. Ammon,et al.  The isolation of receiver effects from teleseismic P waveforms , 1991, Bulletin of the Seismological Society of America.

[29]  G. Zandt,et al.  Neighbourhood inversion of teleseismic Ps conversions for anisotropy and layer dip , 2003 .

[30]  A. Malinverno Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem , 2002 .

[31]  Davorka Herak,et al.  Crustal and uppermost mantle structure beneath the External Dinarides, Croatia, determined from teleseismic receiver functions , 2011 .

[32]  William Menke,et al.  The cross-convolution method for interpreting SKS splitting observations, with application to one and two-layer anisotropic earth models , 2003 .

[33]  S. Gupta,et al.  Lithosphere of the Dharwar craton by joint inversion of P and S receiver functions , 2008 .

[34]  Stan E. Dosso,et al.  Trans-dimensional inversion of microtremor array dispersion data with hierarchical autoregressive error models , 2012 .

[35]  Ed Anderson,et al.  LAPACK Users' Guide , 1995 .

[36]  Thomas J. Owens Crustal structure of the Adirondacks determined from broadband teleseismic waveform modeling , 1987 .

[37]  J. Cassidy,et al.  Numerical experiments in broadband receiver function analysis , 1992, Bulletin of the Seismological Society of America.

[38]  Michael H. Ritzwoller,et al.  Joint inversion of surface wave dispersion and receiver functions: a Bayesian Monte-Carlo approach , 2013 .

[39]  Robert A. Phinney,et al.  Structure of the Earth's crust from spectral behavior of long‐period body waves , 1964 .

[40]  S. Dosso,et al.  Onshore/Offshore Structure of the Juan de Fuca Plate in Northern Cascadia from Bayesian Receiver Function Inversion , 2013 .

[41]  T. J. Owens A Detailed Analysis of Broadband Teleseismic P Waveforms , 1984 .

[42]  M. Bostock Theory and Observations – Teleseismic Body-Wave Scattering and Receiver-Side Structure , 2007 .

[43]  B. Romanowicz,et al.  Inversion of receiver functions without deconvolution—application to the Indian craton , 2014 .

[44]  V. Farra,et al.  Upper mantle stratification by P and S receiver functions , 2000 .

[45]  Michael G. Bostock,et al.  Kirchhoff-approximate inversion of teleseismic wavefields , 2002 .

[46]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[47]  Charles J. Ammon,et al.  Iterative deconvolution and receiver-function estimation , 1999 .

[48]  Michael G. Bostock,et al.  Migration of scattered teleseismic body waves , 1999 .

[49]  D. Giardini,et al.  Moho depth and Poisson's ratio in the Western-Central Alps from receiver functions , 2008 .

[50]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .

[51]  Mikhail K. Kaban,et al.  Receiver function tomography of the central Tien Shan , 2004 .

[52]  M. Bostock,et al.  Modelling teleseismic waves in dipping anisotropic structures , 2000 .

[53]  Peter M. Shearer,et al.  Imaging global body wave phases by stacking long‐period seismograms , 1991 .

[54]  M. Sambridge,et al.  Seismic tomography with the reversible jump algorithm , 2009 .

[55]  V. Lekić,et al.  Receiver function deconvolution using transdimensional hierarchical Bayesian inference , 2014 .

[56]  D. Wells,et al.  New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement , 1994, Bulletin of the Seismological Society of America.

[57]  Jan Dettmer,et al.  Trans-dimensional geoacoustic inversion. , 2010, The Journal of the Acoustical Society of America.

[58]  G. Randall,et al.  On the nonuniqueness of receiver function inversions , 1990 .

[59]  Albert Tarantola,et al.  1. The General Discrete Inverse Problem , 2005 .

[60]  L. P. Vinnik,et al.  Detection of waves converted from P to SV in the mantle , 1977 .

[61]  Simon Stähler,et al.  Fully probabilistic seismic source inversion - Part 1: Efficient parameterisation , 2013 .

[62]  R. Hyndman,et al.  An inverted continental Moho and serpentinization of the forearc mantle , 2002, Nature.

[63]  Charles J. Ammon,et al.  Lithospheric Structure of the Arabian Shield from the Joint Inversion of Receiver Function and Surface-Wave Dispersion Observations , 2000 .

[64]  K. Idehara Structural heterogeneity of an ultra-low-velocity zone beneath the Philippine Islands: Implications for core–mantle chemical interactions induced by massive partial melting at the bottom of the mantle , 2011 .

[65]  Malcolm Sambridge,et al.  Transdimensional inversion of receiver functions and surface wave dispersion , 2012 .

[66]  N. P. Agostinetti,et al.  Insights into the evolution of the Italian lithospheric structure from S receiver function analysis , 2012 .

[67]  J. Woodhouse,et al.  Reflectivity of the 410‐km discontinuity from PP and SS precursors , 2005 .