Abstract: The invention allows construction of the architecture of sedimentary layers deposited on a topographic surface as a result of the passage of sedimentary currents, using cellular automata. The topographic surface is discretized into a set of cellular automata. Then, for each current and each automaton, a stationary physical state resulting from an iterative process wherein intermediate physical states are constructed by material and energy exchanges between the automata is determined. These automata are thus constructed so as to be representative of the action of the sedimentary currents on the construction of the sedimentary architecture. A set of geologic variables allowing the architecture of the sedimentary layers to be reconstructed is thus deduced from these stationary physical states. Preferred fields of application of the method are oil exploration and production and reservoir characterization.