METHOD FOR QUICKLY FORMING A STOCHASTIC METHOD REPRESENTING THE DISTRIBUTION OF A PHYSICAL VARIABLE IN A HETEROGENEOUS ENVIRONMENT BY APPROPRIATE SELECTION OF GEOSTATIC REALIZATIONS

摘要

method to rapidly form a stochastic model representative of thethe distribution of a physical quantity in a heterogeneous porous medium that iscompared with dynamic data set, by an appropriate selection ofgeostatistics combined with linear outputs. we use a processthe iterative incremental deformation are combined linearly to eachgeostatistical realization of initial iteration () in the middle, and a number of(n (n - 1) & (1) - (n) i = 1 ~ (- 1), independent of theinitial development (), by imposing constraints on the coefficients.linear combination of the outputs (y) and (xi) (i = 1, ~, (n - 1), and theminimizing an objective function (j) measuring the difference between a set of datafrom the combination of simulations using a simulator, and thesaid dynamic data. in order to minimize the objective function are rapidly.the lagrange multiplier is.lambda. (.lambda.) .isin. rn - 1 withthe constraint on the values of the coefficients of therecord (zi) (i = 1,..., (n - 1). the absolute value of the.lambda.i sthpart of the.lambda. multiplier indicates the sensitivity of the functionobjective to achieve the i - th geostatistics (zi).