1. An apparatus for forming tomographic images of three phase flow in a conduit, comprising: (a) an array of a plurality of transmitters mounted about the periphery of the conduit emitting energy to travel through the fluid in the conduit; (b) an array of a plurality of receivers mounted about the periphery of the conduit receiving energy after travel through the fluid in the conduit; and (c) a data processing system forming tomographic images of the three phase flow in the conduit, comprising: (1) a processor forming measures of the speed of travel of the energy between individual ones of the plurality of transmitters and receivers; (2) the processor further forming measures of the attenuation of the energy between individual ones of the plurality of transmitters and receivers; (3) the processor further forming a synthesized composite image of the relative presence and position of the three fluid phases over a cross-sectional area of the conduit based on the formed measures of the speed of travel and attenuation of the energy in the conduit; and (4) a display presenting the synthesized composite image for evaluation and analysis.