1. A method of estimating at least one property of an earth formation, comprising: receiving measured pulse neutron data generated by a carrier disposed in the formation wherein a neutron source disposed at the carrier configured to irradiate the formation with neutrons, wherein measuring radiation emitted by the formation in response to irradiation of the formation with neutrons, is measured by at least one gamma ray detector; constructing by a processor in communication with the at least one gamma ray detector, a predictive matrix model of a formation, the predictive matrix model including an expected measurement response to a selected amount of a matrix material, wherein constructing includes generating a plurality of hypothetical matrix models, each hypothetical matrix model having a different amount of a matrix material, comparing the plurality of hypothetical matrix models to the measured pulsed neutron data, and selecting a hypothetical matrix model that most closely correlates with the measured pulsed neutron data; constructing by the processor a separate predictive shale model of the formation, the predictive shale model including an expected measurement response to a selected amount of a shale material and an estimation of a concentration of at least one trace element, wherein constructing the predictive shale model includes generating a plurality of hypothetical shale models, each hypothetical shale model having a different mixture of at least one shale material, subsequently comparing the plurality of hypothetical shale models to the measured pulsed neutron data, and selecting a hypothetical shale model that most closely correlates with the measured pulsed neutron data; combining, by the processor, the first model and the second model to generate a formation model; and comparing measured pulsed neutron data with the mixed model to estimate the at least one property.