This paper presents a physical estimation method of volumetric phase fractions by multifrequency microwave linear array sensor that is supposed to reduce the effective cost of the calibration step. Our study is focused on the characterisation of oil, water and gas emulsion and dispersed flows in a large range of temperature and salt content. This method is based on the association of mixture permittivity laws and a simplified model of the measurement device. The mixture permittivity laws, as Bruggeman-Hanaï law, give the resulted permittivity of a mixture from their volumetric fractions. As a polar molecule, water has a permittivity varying with frequency, temperature and salinity. So it is possible to rely the resulted permittivity of a mixture with the sensor measurement at different temperature and salinity settings for each frequency. As a result, an original estimation method of volumetric phase fraction has been developed from this physical approach.

A three-phase estimator based on two-phase oil/water and oil/gas structure models intersection has been developed. The estimation of volumetric phase fractions is obtained by the projection of the measurements on the complex physical laws adjusted to various conditions in temperature and salinity for each frequency. This new estimator had been testing on IFP emulsion test data and gives the composition of the mixture and the volumetric phase fraction. Absolute predicted errors of water, oil and gas fraction is then inferior to 5% for two-phase mixture (oil/water & oil/gas), and absolute predicted errors of gas and oil fraction are most of the time inferior to 5% or at least inferior to 10% for three-phase mixture.

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