Currently advances in seismic data interpretation have been observed, given the quantitative tendency to achieve the determination of reservoir properties. Impedance seismic volumes along with petrophysics allow the characterization of petrophysical properties of rocks for building a reservoir model. The objective of this research was to generate a rock physics model to be used as a liaison for the interpretation of petrophysical properties in terms of the elastic response of a field in the Gulf of Mexico. 7 wells were used, whose reserves are located within the Middle Pleistocene. Petrophysical evaluation was performed and a theoretical model of rock physics was developed in order to synthesize the density, compressional and shear sonic logs, being the self-consistent model, which best reproduced the elastic properties of the rocks in this study. Subsequently, through cross-diagram analysis, the relationships between the elastic properties (P and S impedance, Vp/Vs ratio) and rock properties (porosity, clay content, water saturation) were analyzed. The effect of fluid replacement in the elastic properties was modeled. It is conclude that the synthesized curves provide a better understanding of the influence of petrophysical variables on the elastic properties of the rock, the poroelastic model generated allows discrimination of lithologies present.