A method for estimating a flow rate of a material (e.g., a multiphase fluid) may include: flowing the material through one or more of a plurality of receptacles of a dielectric contrast analysis structure that includes: a bulk dielectric substance and the plurality of receptacles in the bulk dielectric substance; exposing the dielectric contrast analysis structure to incident electromagnetic radiation; detecting and analyzing a resultant electromagnetic radiation from the exposed dielectric contrast analysis structure to yield a phase fraction in the material and a phase distribution in the material; measuring a differential pressure across the dielectric contrast analysis structure; and estimating the flow rate of the material using the differential pressure, the phase fraction, and the phase distribution in the material.