Patent ID: 6618695
Filing Date: 2003-09-09
Classification: G01V

Abstract:
A method of providing an optimized Gaussian, optimized lognormal or optimized truncated Gaussian stochastic model of a distribution of a parameter in a heterogeneous underground medium by fitting a set of measured non linear data forming a response of the medium, comprising:a) generating a first realization of at least a part of the stochastic model and deducing therefrom a first set of non-linear data forming a response of the model; b) generating at least one other realization of a same part of the stochastic model independent from the first realization and deducing therefrom corresponding sets of non-linear data as a response of the model; c) forming a realization of the stochastic model by linearly combining the first realization and the at least one other realization, with coefficients of the combination being such that a sum of squares of the coefficients is equal to 1 and deducing therefrom a corresponding set of non-linear data as a response of the model; d) forming an objective function that measures a misfit between the sets of non-linear data deduced from step c) with corresponding non-linear data measured from the medium; and e) minimizing the objective function with respect to the coefficients of the combination of the realizations until an optimized realization of the stochastic model is obtained.