MAPPING A GEOLOGICAL PARAMETER ON AN UNSTRUCTURED GRID

摘要

The present invention relates to a method for a determination of a geological parameter in an unstructured grid representing a geological model. The method comprises receiving a description of a random field (Z(x), 101 ) of a petrophysical/geological variable and deriving a description of an auxiliary (102) Gaussian random field (Y(x)) through a transformation function. Then it is possible to determine (103) a decomposition in an Hilbertian basis of the transformation function, and for each block vp of the unstructured grid, a change of support coefficient rp by solving (a) being an input covariance function of the Gaussian random field or (b) being an input covariance function of the received random field. Using this block-specific change of support coefficients, it is possible to perform a mapping of the average values of the geological parameter over the blocks of the unstructured grid, honoring the desired structure of spatial distribution for the said parameter.