This paper deals with Bayesian estimation of two-dimensional (2-D) str
atified structures from echosounding signals. This problem is of inter
est in seismic exploration, but also for nondestructive testing or med
ical imaging. The proposed approach consists of a multichannel Bayesia
n deconvolution method of the 2-D reflectivity based upon a theoretica
lly sound prior stochastic model. The Markov-Bernoulli random field re
presentation introduced in [1] is used to model the geometric properti
es of the reflectivity, and the emphasis is placed on representation o
f the amplitudes and on deconvolution algorithms. It is shown that the
algorithmic structure and computational complexity of the proposed mu
ltichannel methods are similar to those of single channel B-G deconvol
ution procedures, but that explicit modeling of the stratified structu
re results in significantly better performances. Simulation results an
d examples of real-data processing illustrate the performances and the
practicality of the multichannel approach.