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This paper presents an anisotropic rock physics modelling for estimating elastic stiffness of organic shales. The model combines the Reuss-Voigt-Hill average, the anisotropic Differential Effective Medium model and the Brown-Korringa model in order to take mineralogy, kerogen, pores and fluids into consideration. A comparison of the predicted results with experimental measurements indicates that this model has the potential to estimate the elastic stiffness of organic shales. Laboratory measurement including both X-Ray Diffraction and velocities of shale samples is needed to further calibrate our model.