Method of forming a model representative of the distribution of a physical quantity in an underground zone, free of the effect of correlated noises contained in exploration data

摘要

A method of forming, from data obtained by exploration of a zone of a heterogeneous medium, a model representative of the distribution in the zone of at least one physical quantity amply free of the presence of correlated noises that may be contained in the data is disclosed. The method essentially comprises the following stages any acquisition of data giving information about certain characteristics of the zone, specification of a modelling operator which associates the response of the model with a model (synthetic data), modelling of each correlated noise by applying a specific modelling operator to a noise-generating function (n.g.f.), specification of a semi-norm in the data space, specification, in each n.g.f. space, of a norm for which each noise modelling operator constitutes an isometry, and seeking, the model and the n.g.f. which minimize a cost function quantifying, by means of the semi-norm, the difference between the measured data and the superposition of the response of the model and of the noises associated with the n.g.f.