The invention is a method and system for real-time estimation of the flow mode,
at all points of a pipe whose structure is defined by a certain number of structure
parameters, of a multiphase fluid stream defined by several physical quantities
providing simplified implementation of hydrodynamic modules that can be integrated
in modelling tools. A non-linear neural network is formed with an input layer having
as many inputs as there are structure parameters and physical quantities, an output
layer with as many outputs as there are quantities necessary for estimation of
the flow mode and at least one intermediate layer. A learning base is created with
predetermined tables connecting various values obtained for the output data to
the corresponding values of the input data, with iterative determination of the
weighting factors of the activation function allowing to properly connect the values
in the input and output data tables. In order to avoid singularities of the network
output data likely to distort the determination of the weighting factors, a sorting
procedure is used to eliminate non-pertinent data. The main advantages of the method
are: modelling simplification and time saving.