A method, comprising: introducing a tool string into a wellbore at least partially lined with casing, wherein an annular material is disposed in an annulus defined between the casing and the wellbore and the tool string comprises a plurality of logging tools including at least a cement bond logging tool, a circumferential acoustic scanning tool, a spectral density logging tool, and a dual spaced neutron logging tool; obtaining acoustic refracted waveform measurements of the annular material from the cement bond logging tool; obtaining ultrasonic measurements of the annular material from the circumferential acoustic scanning tool; obtaining gamma radiation measurements scattered from the annular material from the spectral density logging tool having a first radioactive source, a near density detector; and a far density detector; obtaining thermal neutron radiation measurements scattered from the annular material from the dual spaced neutron logging tool having a second radioactive source, a near neutron detector, and a far neutron detector; collecting and computing the measurements obtained by the plurality of logging tools with a computer; and generating with the computer a deliverable that includes one or more cross plots (500 a, b) that provide a compositional equivalent of the annular material, wherein the one or more cross-plots depict: responses based on a density ratio of count rates based on density response versus a lithology ratio of count rates based on lithology response; and a coded hydrogen index scale of the responses based on a ratio of far neutron detector and near neutron detector count rates. introducing a tool string into a wellbore at least partially lined with casing, wherein an annular material is disposed in an annulus defined between the casing and the wellbore and the tool string comprises a plurality of logging tools including at least a cement bond logging tool, a circumferential acoustic scanning tool, a spectral density logging tool, and a dual spaced neutron logging tool; obtaining acoustic refracted waveform measurements of the annular material from the cement bond logging tool; obtaining ultrasonic measurements of the annular material from the circumferential acoustic scanning tool; obtaining gamma radiation measurements scattered from the annular material from the spectral density logging tool having a first radioactive source, a near density detector; and a far density detector; obtaining thermal neutron radiation measurements scattered from the annular material from the dual spaced neutron logging tool having a second radioactive source, a near neutron detector, and a far neutron detector; collecting and computing the measurements obtained by the plurality of logging tools with a computer; and generating with the computer a deliverable that includes one or more cross plots (500 a, b) that provide a compositional equivalent of the annular material, wherein the one or more cross-plots depict: responses based on a density ratio of count rates based on density response versus a lithology ratio of count rates based on lithology response; and a coded hydrogen index scale of the responses based on a ratio of far neutron detector and near neutron detector count rates. responses based on a density ratio of count rates based on density response versus a lithology ratio of count rates based on lithology response; and a coded hydrogen index scale of the responses based on a ratio of far neutron detector and near neutron detector count rates.