Method for parameterizing and morphing stochastic reservoir models

Abstract

A method for creating a modified realization of a geostatistical model of a subterranean hydrocarbon reservoir is described, which may be used in a history matching process. The modified realization is based on a current realization which is a function of a first uniform random number field. At least one further uniform random number field Uis created and a linear combination made of the first uniform random number field and the further uniform random number field or fields U, together with combination coefficients r, to derive a modified non-uniform random number field V. A uniform score transformation procedure is then performed, e.g. using an empirical cumulative distribution function, on the modified non-uniform number field V, to derive a modified uniform random number field U. A modified realization of the model can then be derived from the uniform random number field U.