Practically it is known that seismic velocity increases as rock density increases, why then does the wave velocity equation involving elastic moduli and density indicate that velocity is inversely related to density?
Dear Thomas,
The answer is: The rigidity usually increases with density ρ, but more rapidly than ρ. This explains why denser rocks have normally faster wave propagation velocities although the math inverse relationship.
Remember: 1- The shear module µ is the “rigidity” 2- The higher the rigidity of the material, the higher the P- and S-wave velocities! 3- The shear module is math directly proportional to P and S wave velocity.
Best regards, Mario E. Sigismondi
Thanks to Profs Mario and Contreras for your clear answers. Am very grateful.
The relationship between seismic velocity and density in the continental crust - a useful constraint?
P. J. Barton Bullard Laboratories, Madingley Rise, Madingley Road, Cambridge C33 OEZ
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