Method for quickly forming a stochastic method representing the distribution of a physical variable in a heterogeneous environment by appropriate selection of geostatic realizations

Abstract From the Canadian patent

A method for quickly forming a stochastic model representing the distribution of a physical variable in a porous heterogeneous environment which is calibrated in relation to dynamic data by appropriate selection of geostatic realizations which are to be combined in a linear manner. An iterative process of gradual deformation is used wherein an initial geostatic realization (y) of the environment and a number (N-1) (N>1) of other realizations (z¿i?) i =1,~ (N-1), which are independent of the initial realization(y) are combined at each iteration, imposing constraints upon the linear combination coefficients of the realizations (y) and (z¿i?) i =1,~ (N-1), and an objective function (J) is …