Quantifying uncertainties on the solution model of seismic tomography - Archive ouverte HAL Access content directly
Journal Articles Inverse Problems Year : 2006

Quantifying uncertainties on the solution model of seismic tomography

(1, 2) , (2)


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.
Fichier principal
Vignette du fichier
2006InverseProblemDuffet.pdf (1.65 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02284112 , version 1 (11-09-2019)



Carole Duffet, Delphine Sinoquet. Quantifying uncertainties on the solution model of seismic tomography. Inverse Problems, 2006, 22 (2), pp.525-538. ⟨10.1088/0266-5611/22/2/009⟩. ⟨hal-02284112⟩
35 View
102 Download



Gmail Facebook Twitter LinkedIn More