Thermoelasticity is important in seismic propagation due to the effects related to wave attenuation and velocity dispersion. We apply a novel finite-difference solver of the Lord-Shulman thermoelasticity equations to compute synthetic seismograms that include the effects of the thermal conductivity. We use a time splitting method, and the spatial derivatives are computed with a rotated staggered-grid finite difference method, and an unsplit convolutional perfectly matched layer is used to absorb the waves at the boundaries. The numerical examples illustrate the effects of the thermal conductivity on the attenuation of the fast P wave and slow thermal P wave. The thermal conductivity affects the relaxation time of the thermal diffusion process, with the T mode becoming wave-like at high thermal conductivities and high frequencies.
SIMULATION OF WAVE PROPAGATION BASED ON THE LORD-SHULMAN THERMOELASTIC THEORY
Carcione J. M.;
2021-01-01
Abstract
Thermoelasticity is important in seismic propagation due to the effects related to wave attenuation and velocity dispersion. We apply a novel finite-difference solver of the Lord-Shulman thermoelasticity equations to compute synthetic seismograms that include the effects of the thermal conductivity. We use a time splitting method, and the spatial derivatives are computed with a rotated staggered-grid finite difference method, and an unsplit convolutional perfectly matched layer is used to absorb the waves at the boundaries. The numerical examples illustrate the effects of the thermal conductivity on the attenuation of the fast P wave and slow thermal P wave. The thermal conductivity affects the relaxation time of the thermal diffusion process, with the T mode becoming wave-like at high thermal conductivities and high frequencies.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
