Abstract
We present global and regional synthetic seismograms computed for 1D and 3D Mars models based on the spectral-element method. For global simulations, we implemented a radially-symmetric Mars model with a 110 km thick crust (Sohl and Spohn in J. Geophys. Res., Planets 102(E1):1613–1635, 1997). For this 1D model, we successfully benchmarked the 3D seismic wave propagation solver SPECFEM3D_GLOBE (Komatitsch and Tromp in Geophys. J. Int. 149(2):390–412, 2002a; 150(1):303–318, 2002b) against the 2D axisymmetric wave propagation solver AxiSEM (Nissen-Meyer et al. in Solid Earth 5(1):425–445, 2014) at periods down to 10 s. We also present higher-resolution body-wave simulations with AxiSEM down to 1 s in a model with a more complex 1D crust, revealing wave propagation effects that would have been difficult to interpret based on ray theory. For 3D global simulations based on SPECFEM3D_GLOBE, we superimposed 3D crustal thickness variations capturing the distinct crustal dichotomy between Mars’ northern and southern hemispheres, as well as topography, ellipticity, gravity, and rotation. The global simulations clearly indicate that the 3D crust speeds up body waves compared to the reference 1D model, whereas it significantly changes surface waveforms and their dispersive character depending on its thickness. We also perform regional simulations with the solver SES3D (Fichtner et al. Geophys. J. Int. 179:1703–1725, 2009) based on 3D crustal models derived from surface composition, thereby addressing the effects of various distinct crustal features down to 2 s. The regional simulations confirm the strong effects of crustal variations on waveforms. We conclude that the numerical tools are ready for examining more scenarios, including various other seismic models and sources.
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References
D. Al-Attar, J.H. Woodhouse, Calculation of seismic displacement fields in self-gravitating Earth models—applications of minors vectors and symplectic structure. Geophys. J. Int. 175(3), 1176–1208 (2008). doi:10.1111/j.1365-246X.2008.03961.x
D.L. Anderson, W.F. Miller, G.V. Latham, Y. Nakamura, M.N. Toksoz, A.M. Dainty, F.K. Duennebier, A.R. Lazarewicz, R.L. Kovach, T.C.D. Knight, Seismology on Mars. J. Geophys. Res. 82, 4524–4546 (1977)
W.B. Banerdt, S. Smrekar, P. Lognonné, T. Spohn, S.W. Asmar, D. Banfield, L. Boschi, U. Christensen, V. Dehant, W. Folkner, D. Giardini, W. Goetze, M. Golombek, M. Grott, T. Hudson, C. Johnson, G. Kargl, N. Kobayashi, J. Maki, D. Mimoun, A. Mocquet, P. Morgan, M. Panning, W.T. Pike, J. Tromp, T. van Zoest, R. Weber, M.A. Wieczorek, R. Garcia, K. Hurst, InSight: a discovery mission to explore the interior of Mars, in Lunar and Planetary Science Conference. Lunar and Planetary Inst. Technical Report, vol. 44, 2013, p. 1915
D. Baratoux, H. Samuel, C. Michaut, M.J. Toplis, M. Monnereau, M. Wieczorek, R. Garcia, K. Kurita, Petrological constraints on the density of the martian crust. J. Geophys. Res., Planets 119(7), 1707–1727 (2014). doi:10.1002/2014JE004642
C. Bassin, G. Laske, G. Masters, The current limits of resolution for surface wave tomography in North America, in EOS, vol. F897, 2000, p. 81
B.G. Bills, G.A. Neumann, D.E. Smith, M.T. Zuber, Improved estimate of tidal dissipation within Mars from MOLA observations of the shadow of Phobos. J. Geophys. Res., Planets 110, 7004 (2005). doi:10.1029/2004JE002376
B.A. Bolt, J.S. Derr, Free bodily vibrations of the terrestrial planets. Vistas Astron. 11(1), 69–102 (1969)
M. Böse, J. Clinton, S. Ceylan, F. Euchner, M. van Driel, A. Khan, D. Giardini, A probabilistic framework for single-station location of seismicity on Earth and Mars. Phys. Earth Planet. Sci. 262, 48–65 (2017)
E. Bozdağ, J. Trampert, On crustal corrections in surface wave tomography. Geophys. J. Int. 172, 1066–1082 (2008). doi:10.1111/j.1365-246X.2007.03690.x
Y. Capdeville, J.-J. Marigo, Second order homogenization of the elastic wave equation for non-periodic layered media. Geophys. J. Int. 170, 823–838 (2007). doi:10.1111/j.1365-246X.2007.03462.x
Y. Capdeville, E. Chaljub, J.P. Vilotte, J.P. Montagner, Coupling the spectral element method with a modal solution for elastic wave propagation in global Earth models. Geophys. J. Int. 152, 34–67 (2003)
S. Ceylan, M. van Driel, F. Euchner, A. Khan, J. Clinton, L. Krischer, M. Böse, D. Giardini, From initial models of seismicity, structure and noise to synthetic seismograms for Mars. Space Sci. Rev. (2017), this issue, in review
E. Chaljub, B. Valette, Spectral element modelling of three-dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core. Geophys. J. Int. 158, 131–141 (2004)
E. Chaljub, Y. Capdeville, J.P. Vilotte, Solving elastodynamics in a fluid-solid heterogeneous sphere: a parallel spectral-element approximation on non-conforming grids. J. Comput. Phys. 187(2), 457–491 (2003)
J.A.D. Connolly, The geodynamic equation of state: what and how. Geochem. Geophys. Geosyst. 10(10), (2009). Q10014. doi:10.1029/2009GC002540
T.G. Cowling, The non-radial oscillations of polytropic stars. Mon. Not. R. Astron. Soc. 101, 369–373 (1941)
H.P. Crotwell, T.J. Owens, J. Ritsema, The taup toolkit: flexible seismic travel-time and ray-path utilities. Seismol. Res. Lett. 70(2), 154–160 (1999). doi:10.1785/gssrl.70.2.154
F.A. Dahlen, J. Tromp, Theoretical Global Seismology (Princeton Univ. Press,, Princeton, NJ, USA, 1998)
G. Dreibus, H. Wänke, Mars, a volatile-rich planet. Meteoritics 20, 367–381 (1985)
M. Drilleau, Ã. Beucler, A. Mocquet, O. Verhoeven, G. Moebs, G. Burgos, J.-P. Montagner, P. Vacher, A Bayesian approach to infer radial models of temperature and anisotropy in the transition zone from surface wave dispersion curves. Geophys. J. Int. 195(2), 1165–1183 (2013). doi:10.1093/gji/ggt284. http://gji.oxfordjournals.org/content/195/2/1165.abstract
A.M. Dziewonski, D.L. Anderson, Preliminary reference Earth model. Phys. Earth Planet. Inter. 25(4), 297–356 (1981). doi:10.1016/0031-9201(81)90046-7. http://www.sciencedirect.com/science/article/pii/0031920181900467
A. Fichtner, B.L.N. Kennett, H. Igel, H.-P. Bunge, Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods. Geophys. J. Int. 179, 1703–1725 (2009)
W.M. Folkner, C.F. Yoder, D.N. Yuan, E.M. Standish, R.A. Preston, Interior structure and seasonal mass redistribution of Mars from radio tracking of Mars pathfinder. Science 278(5344), 1749–1752 (1997). doi:10.1126/science.278.5344.1749. http://science.sciencemag.org/content/278/5344/1749
W.M. Folkner, S.W. Asmar, V. Dehant, R.W. Warwick, The rotation and interior structure experiment (RISE) for the InSight mission to Mars, in 43rd Lunar and Planetary Science Conference, Lunar and Planetary Inst., Houston, TX, 2012, p. 1721. http://www.lpi.usra.edu/meetings/lpsc2012/pdf/1721.pdf
A. Genova, S. Goossensc, F.G. Lemoineb, E. Mazaricob, G.A. Neumannb, D.E. Smitha, M.T. Zubera, Seasonal and static gravity field of Mars from MGS, Mars Odyssey and MRO radio science. Icarus 272, 228–245 (2016)
F. Gilbert, Excitation of normal modes of the Earth by earthquake sources. Geophys. J. R. Astron. Soc. 22, 223–226 (1971)
M.P. Golombek, W.B. Banerdt, T.L. Tanaka, D.M. Tralli, A prediction of Mars seismicity from surface faulting. Science 258, 979–981 (1992)
T.V. Gudkova, V.N. Zharkov, Mars: interior structure and excitation of free oscillations. Phys. Earth Planet. Inter. 142, 1–22 (2004)
T.V. Hoolst, V. Dehant, F. Roosbeek, P. Lognonné, Tidally induced surface displacements, external potential variations, and gravity variations on Mars. Icarus 161, 281–296 (2003)
A. Khan, J.A.D. Connolly, Constraining the composition and thermal state of Mars from inversion of geophysical data. J. Geophys. Res., Planets 113, 7003 (2008). doi:10.1029/2007JE002996
A. Khan, J.A.D. Connolly, A. Pommier, J. Noir, Geophysical evidence for melt in the deep lunar interior and implications for lunar evolution. J. Geophys. Res., Planets 119, 2197–2221 (2014). doi:10.1002/2014JE004661
A. Khan, M. van Driel, M. Böse, D. Giardini, S. Ceylan, J. Yan, J. Clinton, F. Euchner, P. Lognonné, N. Murdoch, D. Mimoun, M. Panning, M. Knapmeyer, W.B. Banerdt, Single-station and single-event marsquake location and inversion for structure using synthetic martian waveforms. Phys. Earth Planet. Inter. 258, 28–42 (2016). doi:10.1016/j.pepi.2016.05.017. http://www.sciencedirect.com/science/article/pii/S0031920116300875
M. Knapmeyer, J. Oberst, E. Hauber, M. Wählisch, C. Deuchler, R. Wagner, Working models for spatial distribution and level of Mars’ seismicity. J. Geophys. Res. E, Planets 111(11), 1–23 (2006). doi:10.1029/2006JE002708
D. Komatitsch, J. Tromp, Introduction to the spectral element method for three-dimensional seismic wave propagation. Geophys. J. Int. 139(3), 806–822 (1999). http://doi.wiley.com/10.1046/j.1365-246x.1999.00967.x
D. Komatitsch, J. Tromp, Spectral-element simulations of global seismic wave propagation-I. Validation. Geophys. J. Int. 149(2), 390–412 (2002a). http://doi.wiley.com/10.1046/j.1365-246X.2002.01653.x
D. Komatitsch, J. Tromp, Spectral-element simulations of global seismic wave propagation—II. Three-dimensional models, oceans, rotation and self-gravitation. Geophys. J. Int. 150(1), 303–318 (2002b). http://doi.wiley.com/10.1046/j.1365-246X.2002.01716.x
A.S. Konopliv, S.W. Asmar, W.M. Folkner, Ö. Karatekin, D.C. Nunes, S.E. Smrekar, C.F. Yoder, M.T. Zuber, Mars high resolution gravity fields from MRO, Mars seasonal gravity, and other dynamical parameters. Icarus 211(1), 401–428 (2011). doi:10.1016/j.icarus.2010.10.004. http://www.sciencedirect.com/science/article/pii/S0019103510003830
A.S. Konopliv, R.S. Park, W.M. Folkner, An improved {JPL} Mars gravity field and orientation from Mars orbiter and lander tracking data. Icarus 274, 253–260 (2016). doi:10.1016/j.icarus.2016.02.052. http://www.sciencedirect.com/science/article/pii/S0019103516001305
O.L. Kuskov, V.A. Kronrod, H. Annersten, Inferring upper-mantle temperatures from seismic and geochemical constraints: implications for Kaapvaal craton. Earth Planet. Sci. Lett. 244(12), 133–154 (2006). http://www.sciencedirect.com/science/article/pii/S0012821X06001403
V. Lainey, V. Dehant, M. Pätzold, First numerical ephemerides of the Martian moons. Astron. Astrophys. 465, 1075–1084 (2007). doi:10.1051/0004-6361:20065466
C. Larmat, J.-P. Montagner, Y. Capdeville, W.B. Banerdt, P. Lognonné, Numerical assessment of the effects of topography and crustal thickness on martian seismograms using a coupled modal solution-spectral element method. Icarus 196, 78–89 (2008)
P. Lognonné, C. Johnson, 10.03—planetary seismology, in Treatise on Geophysics, ed. by G. Schubert (Elsevier, Amsterdam, 2007), pp. 69–122. 978-0-444-52748-6. doi:10.1016/B978-044452748-6.00154-1
P. Lognonné, B. Mosser, Planetary seismology. Surv. Geophys. 14(3), 239–302 (1993)
P. Lognonné, W.T. Pike, Planetary seismometry, in Extraterrestrial Seismology (2015), pp. 36–48. doi:10.1017/CBO9781107300668.006, Chap. 3
P. Lognonne, J.G. Beyneix, W.B. Banerdt, S. Cacho, J.F. Karczewski, M. Morand, Ultra broad band seismology on InterMarsNet. Planet. Space Sci. 44, 1237–1249 (1996)
P. Lognonne, W.B. Banerdt, K. Hurst, D. Mimoun, R. Garcia, M. Lefeuvre, J. Gagnepain-Beyneix, M. Wieczorek, A. Mocquet, M. Panning, E. Beucler, S. Deraucourt, D. Giardini, L. Boschi, U. Christensen, W. Goetz, T. Pike, C. Johnson, R. Weber, C. Larmat, N. Kobayashi, J. Tromp, Insight and single-station broadband seismology: from signal and noise to interior structure determination, in Lunar and Planetary Institute Science Conference Abstracts, vol. 43, (2012), p. 1493
J.C. Marty, G. Balmino, J. Duron, P. Rosenblatt, S.L. Maistre, A. Rivoldini, V. Dehant, T.V. Hoolst, Martian gravity field model and its time variations from {MGS} and odyssey data. Planet. Space Sci. 57(3), 350–363 (2009). doi:10.1016/j.pss.2009.01.004. http://www.sciencedirect.com/science/article/pii/S0032063309000178
H.Y. McSween Jr., What we have learned about Mars from SNC meteorites. Meteoritics 29, 757–779 (1994)
N. Metthez, Analysing effects of heterogeneities on Martian synthetic waveforms using full waveform and thermodynamic modeling. MSc thesis, ETH Z ”urich (2016)
D. Mimoun, P. Lognonne, W.B. Banerdt, K. Hurst, S. Deraucourt, J. Gagnepain-Beyneix, T. Pike, S. Calcutt, M. Bierwirth, R. Roll, P. Zweifel, D. Mance, O. Robert, T. Nebut, S. Tillier, P. Laudet, L. Kerjean, R. Perez, D. Giardini, U. Christenssen, R. Garcia, The InSight SEIS experiment, in Lunar and Planetary Institute Science Conference Abstracts, vol. 43, (2012), p. 1493
D. Mimoun, N. Murdoch, P. Lognonne, W.T. Pike, K. Hurst, the SEIS Team, The seismic noise model of the insight mission to Mars. Space Sci. Rev. (2017), this issue, in review
A. Mocquet, P. Vacher, O.G.C. Sotin, Theoretical seismic models of Mars: the importance of the iron content of the mantle. Planet. Space Sci. 44(11), 1251–1268 (1996)
J. Montagner, N. Jobert, Vectorial tomography—II. Application to the Indian Ocean. Geophys. J. Int. 94, 309–344 (1988)
Y., Nakamura, Planetary seismology: early observational results, in Extraterrestrial Seismology (2015), pp. 36–48. doi:10.1017/CBO9781107300668.006, Chap. 3
G, A. Neumann, M.T. Zuber, M.A. Wieczorek, P.J. McGovern, F.G. Lemoine, Crustal structure of Mars from gravity and topography. J. Geophys. Res., Planets 109(E8), E08002 (2004). doi:10.1029/2004JE002262
F. Nimmo, U.H. Faul, Dissipation at tidal and seismic frequencies in a melt-free, anhydrous Mars. J. Geophys. Res., Planets 118, 2558–2569 (2013). doi:10.1002/2013JE004499
T. Nissen-Meyer, M. van Driel, S. Stähler, K. Hosseini, S. Hempel, L. Auer, A. Colombi, A. Fournier, AxiSEM: broadband 3-D seismic wavefields in axisymmetric media. Solid Earth 5(1), 425–445 (2014). doi:10.5194/se-5-425-2014
E.A. Okal, D.L. Anderson, Theoretical models for Mars and their seismic properties. Icarus 33, 514–528 (1978)
M.P. Panning, V. Lekić, B. Romanowicz, Importance of crustal corrections in the development of a new global model of radial anisotropy. J. Geophys. Res. 115, 12325 (2010)
M.P. Panning, É. Beucler, M. Drilleau, A. Mocquet, P. Lognonné, W.B. Banerdt, Verifying single-station seismic approaches using Earth-based data: preparation for data return from the InSight mission to Mars. Icarus 248, 230–242 (2015). doi:10.1016/j.icarus.2014.10.035
M. Panning, P. Lognonne, B.W. Banerdt, R. Garcia, M. Golombek, S. Kedar, B. Knapmeyer-Endrun, A. Mocquet, N.A. Teanby, J. Tromp, R. Weber, E. Beucler, J.-F. Blanchette-Guertin, E. Bozdağ, M. Drilleau, T. Gudkova, S. Hempel, A. Khan, V. Lekic, N. Murdoch, A.-C. Plesa, A. Rivoldini, N. Schmerr, Y. Ruan, O. Verhoeven, C. Gao, U. Christensen, J. Clinton, V. Dehant, D. Giardini, D. Mimoun, W.T. Pike, S. Smrekar, M. Wieczorek, M. Knapmeyer, J. Wookey, Planned products of the Mars structure service for the InSight mission to Mars. Space Sci. Rev. (2017). doi:10.1007/s11214-016-0317-5, this issue
D. Peter, D. Komatitsch, Y. Luo, R. Martin, N. Le Goff, E. Casarotti, P. Le Loher, F. Magnoni, Q. Liu, C. Blitz, T. Nissen-Meyer, P. Basini, J. Tromp, Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes. Geophys. J. Int. 186(2), 721–739 (2011). http://doi.wiley.com/10.1111/j.1365-246X.2011.05044.x
A.-C. Plesa, M. Grott, N. Tosi, D. Breuer, T. Spohn, M.A. Wieczorek, How large are present-day heat flux variations across the surface of Mars? J. Geophys. Res., Planets 121, 2386–2403 (2016). doi:10.1002/2016JE005126
J. Ritsema, H.-J. van Heijst, J.H. Woodhouse, A. Deauss, Long-period body-wave traveltimes through the crust: implication for crustal corrections and seismic tomography. Geophys. J. Int. 179, 1255–1261 (2009). doi:10.1111/j.1365246X.2009.04365.x
A. Rivoldini, T. Van Hoolst, O. Verhoeven, A. Mocquet, V. Dehant, Geodesy constraints on the interior structure and composition of Mars. Icarus 213, 451–472 (2011). doi:10.1016/j.icarus.2011.03.024
D.E. Smith, M.T. Zuber, S.C. Solomon, R.J. Phillips, J.W. Head, J.B. Garvin, W.B. Banerdt, D.O. Muhleman, G.H. Pettengill, G.A. Neumann, F.G. Lemoine, J.B. Abshire, O. Aharonson, C. Brown David, S.A. Hauck, A.B. Ivanov, P.J. McGovern, H.J. Zwally, T.C. Duxbury, The global topography of Mars and implications for surface evolution. Science 284(5419), 1495–1503 (1999). doi:10.1126/science.284.5419.1495. http://science.sciencemag.org/content/284/5419/1495
F. Sohl, T. Spohn, The interior structure of Mars: implications from SNC meteorites. J. Geophys. Res., Planets 102(E1), 1613–1635 (1997). doi:10.1029/96JE03419
T. Spohn, M. Grott, S. Smrekar, C. Krause, T.L. Hudson, the HP3 instrument team, Measuring the martian heat using the heat and physical properties package (HP3), in 45th Lunar and Planetary Science Conference, Lunar and Planetary Inst., Houston, TX, (2014), p. 1916. http://www.hou.usra.edu/meetings/lpsc2014/pdf/1916.pdf
G.J. Taylor, The bulk composition of Mars. Chem. Erde/Geochem. 73, 401–420 (2013). doi:10.1016/j.chemer.2013.09.006
N.A. Teanby, J. Wookey, Seismic detection of meteorite impacts on Mars. Phys. Earth Planet. Inter. 186, 70–80 (2011)
A.H. Treiman, The parental magma of the Nakhla achondrite: ultrabasic volcanism on the shergottite parent body. Geochim. Cosmochim. Acta 50, 1061–1070 (1986). doi:10.1016/0016-7037(86)90388-1
J. Tromp, D. Komatitsch, V. Hjörleifsdóttir, Q.L.H. Zhu, D. Peter, E. Bozdag, D. McRitchie, P. Friberg, C. Trabant, A. Hutko, Near real-time simulations of global CMT earthquakes. Geophys. J. Int. 183, 381–389 (2010). doi:10.1111/j.1365-246X.2010.04734.x
M. van Driel, L. Krischer, S.C. Stähler, K. Hosseini, T. Nissen-Meyer, Instaseis: instant global seismograms based on a broadband waveform database. Solid Earth 6(2), 701–717 (2015). doi:10.5194/se-6-701-2015
O. Verhoeven, A. Rivoldini, P. Vacher, A. Mocquet, G. Choblet, M. Menvielle, V. Dehant, T. Van Hoolst, J. Sleewaegen, J.-P. Barriot, P. Lognonné, Interior structure of terrestrial planets: modeling Mars’ mantle and its electromagnetic, geodetic, and seismic properties. J. Geophys. Res., Planets 110, 4009 (2005). doi:10.1029/2004JE002271
H. Wänke, G. Dreibus, Chemistry and accretion of Mars. Philos. Trans. R. Soc. Lond. A 349, 2134–2137 (1994)
M.A. Wieczorek, M.T. Zuber, Thickness of the martian crust: Improved constraints from geoid-to-topography ratios. J. Geophys. Res., Planets 109(E1), E01009 (2004). doi:10.1029/2003JE002153
C.F. Yoder, A.S. Konopliv, D.N. Yuan, E.M. Standish, W.M. Folkner, Fluid core size of Mars from detection of the solar tide. Science 300(5617), 299–303 (2003)
V.N. Zharkov, T.V. Gudkova, Planetary seismology. Planet. Space Sci. 45(4), 401–407 (1997)
V.N. Zharkov, T.V. Gudkova, Construction of martian interior model. Sol. Syst. Res. 39(5), 343–373 (2005)
Acknowledgements
We gratefully acknowledge editor Christopher Russel and two anonymous reviewers for constructive comments which improved the manuscript. The open source spectral-element software package SPECFEM3D_GLOBE is freely available via the Computational Infrastructure for Geodynamics (CIG; geodynamics.org) and the Mars version used in this study is available on github.com/SeismoMars/SPECFEM3D_MARS. For SPECFEM3D_GLOBE simulations computational resources were provided by the Princeton Institute for Computational Science & Engineering (PICSciE). The AxiSEM and SES3D parts were supported by grants from the Swiss National Science Foundation (SNF-ANR project 157133 ”Seismology on Mars”) and from the Swiss National Supercomputing Centre (CSCS) under project ID s628.
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Bozdağ, E., Ruan, Y., Metthez, N. et al. Simulations of Seismic Wave Propagation on Mars. Space Sci Rev 211, 571–594 (2017). https://doi.org/10.1007/s11214-017-0350-z
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DOI: https://doi.org/10.1007/s11214-017-0350-z