%0 Journal Article %T Quantifying uncertainties on the solution model of seismic tomography %+ Analyse, Calcul Scientifique Industriel et Optimisation de Montpellier (ACSIOM) %+ IFP Energies nouvelles (IFPEN) %A Duffet, Carole %A Sinoquet, Delphine %< avec comité de lecture %@ 0266-5611 %J Inverse Problems %I IOP Publishing %V 22 %N 2 %P 525-538 %8 2006-04-01 %D 2006 %R 10.1088/0266-5611/22/2/009 %Z Sciences of the Universe [physics]/Earth SciencesJournal articles %X Reflection tomography allows the determination of a propagation velocity model that fits the traveltime data associated with reflections of seismic waves in the subsurface. A least-squares formulation is used to compare the observed traveltimes and the traveltimes computed by the forward operator based on a ray tracing. The solution of this inverse problem is only one among many possible models. A linearized a posteriori analysis is then crucial to quantify the range of admissible models we can obtain from these data and the a priori information. The contribution of this paper is to propose a formalism which allows us to compute uncertainties on relevant geological quantities for a reduced computational time. Nevertheless, this approach is only valid in the vicinity of the solution model (linearized framework), complex cases may thus require a nonlinear approach. Application on a 2D real data set illustrates the linearized approach to quantify uncertainties on the solution of seismic tomography. Finally, the limitations of this approach are discussed. %G English %2 https://ifp.hal.science/hal-02284112/document %2 https://ifp.hal.science/hal-02284112/file/2006InverseProblemDuffet.pdf %L hal-02284112 %U https://ifp.hal.science/hal-02284112 %~ IFP %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2