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. <EOS>