@article{fdi:010069369,
  title = {{A} high-order 3-{D} spectral-element method for the forward modelling and inversion of gravimetric data-{A}pplication to the western {P}yrenees},
  author = {{M}artin, {R}. and {C}hevrot, {S}. and {K}omatitsch, {D}. and {S}eoane, {L}. and {S}pangenberg, {H}. and {W}ang, {Y}. and {D}ufrechou, {G}. and {B}onvalot, {S}ylvain and {B}ruinsma, {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e image the internal density structure of the {P}yrenees by inverting gravity data using an a priori density model derived by scaling a {V}-p model obtained by full waveform inversion of teleseismic {P}-waves. {G}ravity anomalies are computed via a 3-{D} high-order finite-element integration in the same high-order spectral-element grid as the one used to solve the wave equation and thus to obtain the velocity model. {T}he curvature of the {E}arth and surface topography are taken into account in order to obtain a density model as accurate as possible. {T}he method is validated through comparisons with exact semi-analytical solutions. {W}e show that the spectral-element method drastically accelerates the computations when compared to other more classical methods. {D}ifferent scaling relations between compressional velocity and density are tested, and the {N}afe-{D}rake relation is the one that leads to the best agreement between computed and observed gravity anomalies. {G}ravity data inversion is then performed and the results allow us to put more constraints on the density structure of the shallow crust and on the deep architecture of the mountain range.},
  keywords = {{N}umerical solutions ; {I}nverse theory ; {G}ravity anomalies and {E}arth ; structure ; {FRANCE} ; {PYRENEES}},
  booktitle = {},
  journal = {{G}eophysical {J}ournal {I}nternational},
  volume = {209},
  numero = {1},
  pages = {406--424},
  ISSN = {0956-540{X}},
  year = {2017},
  DOI = {10.1093/gji/ggx010},
  URL = {https://www.documentation.ird.fr/hor/fdi:010069369},
}