We present a deformable model technique for geophysical image analysis. Deformable model approaches have been developed extensively in the literature, including prior applications to geophysical or medical image interpretation. In this paper we propose a method to segment a geophysical image under interpolation conditions (well data). The originality of this segmentation method is that it considers the deformable model as a set of articulated curves, which corresponds to the interfaces between different regions. Moreover, the interpolation conditions permit some geometric constraints to be made on the model. The theoretical aspect of the method is given in the case of a three dimensional image. Numerical results are given.