%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 comitÃ© 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