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Seismic measurements acquired at different stages in the life of a reservoir are a key in reducing operating colts and maximizing recovery. Changes in saturation, pore pressure and stresses, induced by reservoir production may influence the process of wave propagation in rocks. This paper looks at this issue through geomechanical and rock physics modelmg. The stresses which result from the geomechanical modelling and saturation can be used to generate elastic attributes and seismic responses at well location that reveal the patterns of seismic monitoring results expected under various production schemes. The integrated procedure applied on both real and synthetic data for monitoring an underground gas storage leads to demonstrate the play of S wave data to differentiate pressure effects from saturation ones.