Patent Document ID: 20050228623
Application ID: 11100467
Patent Flag: 0

Claim One:
1. Process for constrained stochastic simulation of ancient riverbeds or ancient associated geological structures in the neighborhood of a geological reference horizon H, comprising the following stages: (a) parameterize the geological reference horizon H in the vicinity of a reference horizon H by linking to it a two-dimensional parametric net (u,v) of paleogeographic coordinates; (b) define a modeling function d(u,v) of the general direction of the ancient riverbed to be simulated such that d(u,v) becomes zero on the center line of the ancient riverbeds to be simulated; (c) construct a perturbed modeling function z(u,v)=d(u,v)+r(u,v), where r(u,v) is an equiprobable realization of a random stochastic perturbation function R(u,v); (d) use the absolute value of said perturbed modeling function z(u,v) of the general direction of the ancient riverbed to be simulated to define a topographic function of the pseudo-valley w(u,v)=|z(u,v)|; (e) transform said topographic function of the pseudo-valley w(u,v) into a sediment thickness e(u,v) by using a transfer function that has been chosen in such a manner as to satisfy the mean dimensions and characteristics of the shape of the ancient riverbed to be simulated and/or the ancient geological structures associated with this ancient riverbed.