Patent ID: 7392166

Claim:
A computer implemented method for generating an image of an underground zone adjusted to dynamic data and uncertain static data, the uncertain static data resulting from known probability laws and a spatial variability model, by performing with the computer the steps comprising: generating at least two representations of a stochastic model, the representations showing how a physical property of the underground zone is distributed in the underground zone; optimizing the representations by using a first deformation process of the at least two representations controlled by at least a first deformation parameter, so that the representations are adjusted to the dynamic data; transforming the probability laws according to the spatial variability model into unique pseudo-data; adjusting the pseudo-data by using an iterative process wherein a first Gaussian white noise associated with the pseudo-data is combined with a second Gaussian white noise; optimizing the representations adjusted to the dynamic data, so that the representations are adjusted to the uncertain static data; and generating the image of the underground zone by using a representation of a distribution of a physical property of the underground zone optimized so that the representation is adjusted to both the dynamic and the uncertain static data.