Study on the Relative Behavior of Time in P Waves Propagation

Edif. 2O-301 U. Fuentes Brotantes, Alcaldía de Tlalpan, CP 14410, Ciudad de México, México

 Abstract: This paper presents experimental evidence showing the relative behavior of time for a compression wave (P wave) generated at different frequencies by the impact of a battering ram, as well as a theoretical model that explains the experimental observations in two reference frames. The problem is solved using the two fundamentals postulates of relativity, i.e., the wave velocity is the same for all observers and the two reference frames are inertial. Research shows that the arrival time of the wave is dependent on the wave’s frequency generated and the distance separating the source from the receiver. Results show that serious mistakes could be made in the material velocities calculations and, therefore, in their elastic modulus when using distance over the wave’s arrival time to calculate the material’s velocity. The problems related to these errors have not yet become in technical norms, such as those that have been published in ASTM D4428/D4428M-14 for geophysical explorations of this type.