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Xiaoping Jia, Paul Johnson*, Thomas Brunet *Permanent address:

Nonlinear Acoustics in Granular Media and Dynamic Earthquake Triggering. Xiaoping Jia, Paul Johnson*, Thomas Brunet *Permanent address: L os A lamos N ational L aboratory, New Mexico, USA. Nonlinear acoustics. • Resonance experiments. • Pulse mode experiments. P.

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Xiaoping Jia, Paul Johnson*, Thomas Brunet *Permanent address:

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  1. Nonlinear Acoustics in Granular Media and Dynamic Earthquake Triggering Xiaoping Jia, Paul Johnson*, Thomas Brunet *Permanent address: Los Alamos National Laboratory, New Mexico, USA Nonlinear acoustics • Resonance experiments • Pulse mode experiments P • Fundamental compressional mode • Self demodulation of a high frequency carrier wave ( Parametric ’array effec’) t (bead packing under P = 0.30 MPa) T T fres = V / 2L and Q = fres / Df L R E = r VP 2 or G = r VS2 • Elastic modulus softening • Hysteretic dissipation • Demodulated signal vs input amplitude At low P DE/E0~ e Hysteretic nonlinearity (1/Q – 1/Q0) ~ e Constitutive law: s = M (e + be2 + de3 + S (e, ∂e/∂t) • Recovery of elastic modulus (slow dynamics) Dynamic triggering • Failure model • Influence of slow dynamics

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