The real problem with multiphase flow is to know the relative proportions of the various components.
In a system where you have crude oil plus air mass flow measurement is achievable with accuracies of 1.0-1.2%.
A volumetric meter will record the volume flow total and rate accurately. Of course, what you don't know is what fraction of that volume is air and what is crude but if you want mass flow, no problem, you don't care about the volume fraction.
Note that a brooks style meter is used for liquids and for gases, same principle.
The problem is to measure the density since you need density and volume to get mass. Most density meters have a problem with entrained gases and that includes most coriolis.
The "give-away" is that while a liquids only density meter will return 0.03% accuracy, an entrained gas density meter will return <1.0% accuracy and this is the dominant error in mass flow.
So, by combining a pD meter with an EGA density meter the mass accuracy is 1.0-1.2%. Not ideal, but pretty good considering that in trials of one coriolis meter the mass accuracy with entrained air is 3.0%.
But "you cannot measure two phase flow, period..." No, you can.
Of course, if one of those phases is a mix of two or more different liquids then you have a problem. Thus, if the crude has a variable water content then establishing the mass flow of crude from the mass flow of crude plus water is more difficult if there is air also.
JMW