A Comparative Analysis of Generalized Thermoelastic Theories in Seismic Wave Propagation
DOI:
https://doi.org/10.13052/jgeu0975-1416.1425Keywords:
Seismology, Wave Propagation, Generalized Thermoelasticity, Lord-Shulman theory, Green-Lindsay theory, Green-Naghdi theoryAbstract
Seismic wave propagation is defined as the framework of classical elasticity in which thermal effects are neglected. Although, under high frequency dynamic loading and deep Earth conditions mechanical deformation and temperature variations become strongly coupled for advanced thermoelastic formulation. The development of thermoelastic theories applied to seismic wave propagation beginning with classical thermoelasticity and extending through generalized models includes the Lord-Shulman (LS), Green-Lindsay (GL) and Green-Naghdi (GN) theories. The emphasis is placed on the finite speed of thermal wave propagation, thermal relaxation mechanism and their influence on dispersion, attenuation and wave characteristics. The behavior of body and surface waves is analyzed within homogeneous, layered, anisotropic and pre-stressed media. This study suggests that thermoelastic coupling may contribute intrinsic seismic attenuation significantly with high-frequency and high-temperature geological environment. This provides a unified theoretical basis for improved seismic modeling, deep Earth investigation and hazard assessment.
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