Patent ID: 7310579

Claim:
A method for optimizing development of a petroleum reservoir by studying production schemes by generating a numerical stochastic model representing a spatial distribution of at least one petrophysical property characteristic of a porous heterogeneous medium, comprising: discretizing in space the petroleum reservoir by means of a flexible grid; generating a regular Cartesian grid having a cell size in a given direction which is greater than or equal to a largest size of a cell of the flexible grid in the given direction; simulating, by means of a geostatistical simulator, at least one realization of the at least one petrophysical property on the regular Cartesian grid, from at least one random number; resampling the at least one realization with an interval having a size which is less than or equal to a smallest cell size of the flexible grid; constructing a geostatistical realization of a reservoir model on the flexible grid, by assigning to a center of the cells of the flexible grid values of the resampled at least realization that are as close as possible to the center; and estimating production of the petroleum reservoir for one of the production schemes using the reservoir model.