Construction of Shear Wave Models by Applying Multi-Objective Optimization to Multiple Geophysical Data Sets

For this work, our main purpose is to obtain a better understanding of the Earth’s tectonic processes in the Texas region, which requires us to analyze the Earth structure. We expand on a constrained optimization approach for a joint inversion least-squares (LSQ) algorithm to characterize a Earth’s structure of Texas with the use of multiple geophysical data sets. We employed a joint inversion scheme using multiple geophysical data sets for the sole purpose of obtaining a three-dimensional velocity structure of Texas in order to identify an ancient rift system within Texas. In particular, we use data from the USArray, which is part of the EarthScope experiment, a 15-year program to place a dense network of permanent and portable seismographs across the continental USA. Utilizing the USArray data has provided us with the ability to image the crust and upper mantle structure of Texas. We prove through numerical and experimental testing that our multiobjective optimization problem (MOP) scheme performs inversion in a more robust, and flexible matter than traditional inversion approaches.

[1]  R. Aster,et al.  Seismic imaging of the crust and upper mantle using regularized joint receiver functions, frequency-wave number filtering, and multimode Kirchhoff migration , 2005 .

[2]  A. Roberts,et al.  A framework for 3-D joint inversion of MT, gravity and seismic refraction data , 2011 .

[3]  Daniele Colombo,et al.  Geophysical modeling via simultaneous joint inversion of seismic, gravity, and electromagnetic data: Application to prestack depth imaging , 2007 .

[4]  C. Langston Evidence for the subducting lithosphere under southern Vancouver Island and western Oregon from teleseismic P wave conversions , 1981 .

[5]  V. Tsai,et al.  Joint inversion of Rayleigh wave phase velocity and ellipticity using USArray: Constraining velocity and density structure in the upper crust , 2012 .

[6]  W. Rabbel,et al.  The steeply subducting edge of the Cocos Ridge: Evidence from receiver functions beneath the northern Talamanca Range, south‐central Costa Rica , 2011 .

[7]  Peter M. Shearer,et al.  Introduction to Seismology: Acknowledgment , 2009 .

[8]  C. Vogel Computational Methods for Inverse Problems , 1987 .

[9]  J. Bernard Minster,et al.  Simultaneous time-domain deconvolution with application to the computation of receiver functions , 1995 .

[10]  Monica Maceira,et al.  Joint inversion of surface wave velocity and gravity observations and its application to central Asian basins shear velocity structure , 2009 .

[11]  P. Hansen Discrete Inverse Problems: Insight and Algorithms , 2010 .

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

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

[14]  R. Aster,et al.  Imaging crust and upper mantle seismic structure in the southwestern United States using teleseismic receiver functions , 2003 .

[15]  Jonathan M. Lees,et al.  Seismic tomography constrained by bouguer gravity anomalies: Applications in western Washington , 1991 .

[16]  Thomas J. Owens,et al.  SOD; standing order for data , 2004 .

[17]  S. Semken,et al.  Imaging the seismic structure of the crust and upper mantle beneath the Great Plains, Rio Grande Rift, and Colorado Plateau using receiver functions , 2005 .

[18]  Stephen S. Gao,et al.  Crustal structure and evolution beneath the Colorado Plateau and the southern Basin and Range Province: Results from receiver function and gravity studies , 2011 .

[19]  M. Wysession,et al.  An Introduction to Seismology, Earthquakes, and Earth Structure , 2002 .

[20]  P. Shearer,et al.  Global Stacking of Broadband Seismograms , 1996 .

[21]  E. Haber,et al.  Joint inversion: a structural approach , 1997 .

[22]  George Helffrich,et al.  Grid search inversion of teleseismic receiver functions , 2009 .

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

[24]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[25]  M. Ritzwoller,et al.  A 3‐D model of the crust and uppermost mantle beneath the Central and Western US by joint inversion of receiver functions and surface wave dispersion , 2013 .

[26]  Kaijian Liu,et al.  VS and density structure beneath the Colorado Plateau constrained by gravity anomalies and joint inversions of receiver function and phase velocity data , 2012 .

[27]  Alan G. Jones,et al.  Joint inversion of receiver functions, surface wave dispersion, and magnetotelluric data , 2010 .

[28]  C. Bassin,et al.  The Current Limits of resolution for surface wave tomography in North America , 2000 .

[29]  L. Chang,et al.  Observational evidence of ionospheric migrating tide modification during the 2009 stratospheric sudden warming , 2012 .

[30]  John Woodward,et al.  New grid of Arctic bathymetry aids scientists and mapmakers , 2000 .

[31]  Peter M. Shearer,et al.  Introduction to Seismology: Preface to the second edition , 2009 .

[32]  Hiroo Kanamori,et al.  Moho depth variation in southern California from teleseismic receiver functions , 2000 .

[33]  J. Montagner,et al.  Anisotropic stratification beneath Africa from joint inversion of SKS and P receiver functions , 2010 .

[34]  R. Aster,et al.  A rootless rockies—Support and lithospheric structure of the Colorado Rocky Mountains inferred from CREST and TA seismic data , 2013 .

[35]  Per Christian Hansen,et al.  Solution of Ill-Posed Problems by Means of Truncated SVD , 1988 .

[36]  M. Sambridge Geophysical inversion with a neighbourhood algorithm—II. Appraising the ensemble , 1999 .

[37]  David L.B. Jupp,et al.  Joint Inversion of Geophysical Data , 2007 .

[38]  W. Featherstone,et al.  Geodetic versus geophysical perspectives of the ‘gravity anomaly’ , 2003 .

[39]  Alan W. Roberts,et al.  A Framework For 3D Joint Inversion of MT, Gravity And Seismic Refraction Data , 2010 .

[40]  Robert B. Herrmann,et al.  Imaging the Upper Crust of the Korean Peninsula by Surface-Wave Tomography , 2007 .

[41]  Peter M. Shearer,et al.  Introduction to Seismology , 2019 .

[42]  M. Argáez,et al.  Constrained optimization framework for joint inversion of geophysical data sets , 2013 .

[43]  E. Kozlovskaya,et al.  An algorithm of geophysical data inversion based on non-probabilistic presentation of a priori information and definition of Pareto-optimality , 2000 .