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This presentation discusses Computation of Anisotropic Elastic Moduli for Muscovite and Clay Minerals. We look at the research that has been conducted into shales so far, discuss this study, the necessity of it and the objectives of the research. We also discuss the methodology and walk through the methodologies and their application estimating anisotropic elastic modulie for different clay minerals including muscovite. Finally we talk about the main observations and conclusions that have come from the research.