A method includes introducing a tool string into a wellbore having annular material disposed in an annulus defined between casing and the wellbore. Obtaining acoustic refracted waveform measurements of the annular material from a cement bond logging tool, obtaining ultrasonic measurements of the annular material from a circumferential acoustic scanning tool, obtaining gamma radiation measurements scattered from the annular material from a spectral density logging tool, and obtaining thermal neutron radiation measurements scattered from the annular material from a dual spaced neutron logging tool. Obtained measurements may then be collected and computed with a computer and a deliverable is generated that includes one or more cross plots providing a compositional equivalent of the annular material.