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We present a 3-D inverse method for wave propagation in horizontally layered elastic isotropic media. The direct modeling uses a Hankel transform in the horizontal direction. We have previously introduced in the inversion problem a parameter reducing formulation based on a layered medium assumption (Jurado et x1,1991). In this paper we present a travel-time formulation of the problem to reduce coupling between velocity and depth. These two formulations are viewed as a change of variable or reparameterization on the usual depth formulation in the roversion problem. A synthetic example illustrates the interest of botte formulations .