Neutron porosity devices have been used in formation evaluation for more than seventy years. The most popular method for modern neutron logging tools uses dual detectors which can effectively provide high count rate and borehole compensation. However, this type of measurement is affected by the absorption of thermal neutrons in the formation, especially, in unconventional reservoirs. Trace elements such as boron and gadolinium can cause significant problems with thermal neutron measurements, yielding inaccurate formation evaluation, especially porosity estimation, when those elements are present in concentrations exceeding a few parts per million. Therefore, a reliable correction method is needed to accurately improve formation evaluation using compensated neutron tools.In this work, a novel model has been proposed to correct the compensated neutron response. A joined inversion method using multiple logs is implemented in the model to quantitatively obtain a "clean" neutron response by removing the excess thermal neutron contributed by the trace elements which are not included in the formation model. A workflow is also developed to apply the correction model for integrated formation evaluation applications.The proposed model was validated, and applied on a Vaca Muerta log example, on the Loma Campana field, Neuquén Basin, using a multi-mineral stochastic interpretation software module and comparing the results against core analysis data. Without applying the correction model, the original processing results indicated much higher formation porosity compared with core measurements, due to rich trace elements in the formation. After applying the proposed correction, the adjusted porosity values were effectively improved, effectively matching with core porosity measurements. The proposed model offers a quantitative compensated neutron correction for formation trace elements for the first time in the industry. The results of this study demonstrated that the model is an effective tool for improving integrated formation evaluation in challenging logging environments especially in unconventional reservoirs.