BibTeX
@ARTICLE{
         Charpentier2008Vco,
       ad_area = "Geophysics",
       ad_tools = "Odyssee",
       ad_theotech = "Adjoint",
       author = "Charpentier, Isabelle",
       title = "Variational coupling of {P}linian column models and data: {A}pplication to {E}l
         {C}hich{\'o}n volcano",
       journal = "Journal of Volcanology and Geothermal Research",
       year = "2008",
       volume = "175",
       number = "4",
       pages = "501--508",
       month = "aug",
       abstract = "Many efforts have been done in the modelling of Plinian columns. However, until
         now, the inverse problem of the reconstruction of a Plinian event from observed data has been only
         roughly tackled. This paper discusses the efficient variational data assimilation (VDA) that manages
         the optimization iterate sequence by means of gradient computations. Theoretical developments of VDA
         are presented for both the Woods equations and a generic system allowing for the modelling of the
         Navier-Stokes equations. Two- and three-dimensional unsteady Plinian models being based on the
         latters, VDA could be clearly performed on their differentiable subset of equations. Although no
         column data are available for the 1982 El Chichon eruptions, identical twin experiments were used to
         check the abilities of the VDA approach. VDA experiments coupled with a tephra tephra-fall model
         could be used, to obtain isopach and isopleth maps of past eruptions. Performing VDA experiments
         with a Plinian model coupled to a tephra-fall model could be an interesting solution to exploit
         isopach and isopleth maps of the past eruptions of El Chichon. Some of the numerical experiments
         presented in this paper are downloadable in the PliniAD package which is freely available from the
         author's webpage.",
       doi = "10.1016/j.jvolgeores.2008.02.021",
       issn = "0377-0273",
       id = "Charpentier2008Vco"
}