Patent Document ID: 7561992
Application ID: 11100467
Patent Flag: 1

Claim One:
1. A process for constrained stochastic simulation and presentation of a simulation of an ancient riverbed or an ancient associated geological structure in the neighborhood of a geological reference horizon H, comprising: gathering data regarding ancient riverbeds or ancient associated geological structures using subsurface measurements; and using a programmable device: generating a reference horizon H using the gathered data; parameterizing the reference horizon H by linking to it a two-dimensional parametric net (u,v) of paleogeographic coordinates; defining a modeling function d(u,v) of the general direction of the ancient riverbed, wherein d(u,v) is defined over the parametric net (u,v) and wherein d(u,v) becomes zero on the center line of the ancient riverbeds to be simulated; constructing 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); using the absolute value of said perturbed modeling function z(u,v) of the general direction of the ancient riverbed to define a topographic function of a pseudo-valley w(u,v)=|z(u,v)|; transforming said topographic function of the pseudo-valley w(u,v) into a sediment thickness e(u,v) by using a transfer function that yields the mean dimensions and characteristics of the shape of the ancient riverbed and/or the ancient geological structures associated with this ancient riverbed; and presenting a simulation of ancient riverbeds or ancient associated geological structures as a realization.