Heterogeneous media, the manner null which obtains the model which displays the especially

摘要

A method for providing an optimum model having at least two dimensions of a heterogeneous medium, representing the variations of at least one physical parameter, for example the acoustic impedance of underground formations, and satisfying as well as possible the data measured in situ, for example well-logging in wells in studying the sub-soil as well as other data relative to the medium studied, for example geological information and seismic surface recordings. The method includes the construction of a reference model and the definition of covariance operators which model the uncertainties not only in the medium studied but also in the recordings obtained from outside the medium, for example seismic sections. Comparison between the effective recordings and others which are formed on the basis of the constructed model, makes it possible to check the validity thereof. The resolution method chosen results in coupling together different information used and separating the coherent parts (the signals) from the incoherent parts (the noise).