Inner thermal resonance in thermoelastic geological structures

• Autorzy: Auriault J.-L.

Identyfikatory

DOI

10.2478/s11600-014-0209-6

• Języki publikacji: EN

Abstrakty

EN

When investigating heterogeneous media such as composite materials or geological structures, it is convenient to replace them by macroscopic equivalent media, which simplifies computations a lot. In the paper, we look for the equivalent macroscopic model for describing seismic wave propagation and transient heat transfers in thermoelastic periodic geological structures made of rock or soil. We follow the route described in Auriault (2012), to investigating thermoelastic composite media. We use the method of multi-scale asymptotic expansions. By estimating the dimensionless numbers in the momentum and energy balances, we show that an equivalent macroscopic model exists for descri-ing seismic waves at very low frequencies only. The model then shows a damping which is due to thermal resonance at the heterogeneity scale. At higher frequencies, such an equivalent macroscopic model does not exist. Macroscopic models for describing transient heat transfers do not exist.

Słowa kluczowe

EN

geological structure; thermoelasticity; homogenization; inner thermal resonance

PL

struktura geologiczna; termosprężystość; homogenizacja; wewnętrzny rezonans cieplny

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2014
• Tom: Vol. 62, no. 5
• Strony: 993--1004
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Auriault J.-L.

• Universite Joseph Fourier, Institut National Polytechnique de Grenoble, CNRS, Grenoble, France

Bibliografia

• Auriault, J.-L. (1991), Heterogeneous medium. Is an equivalent macroscopic description possible?, Int. J. Eng. Sci.29, 7, 785-795, DOI: 10.1016/0020-7225(91)90001-J.
• Auriault, J.-L. (2011), Heterogeneous periodic and random media. Are the equivalent macroscopic descriptions similar?, Int. J. Eng. Sci.49, 8, 806-808, DOI: 10.1016/j.ijengsci.2011.01.005.
• Auriault, J.-L. (2012), Wave propagation and transient heat transfer in thermoelastic composites, Int. J. Heat Mass Transfer.55, 21-22, 5972-5978, DOI: 10.1016/j.ijheatmasstransfer.2012.06.007.
• Auriault, J.-L. (2013), Inner acoustic resonance for long wave propagation in periodic piezoelectric composites,Mech. Mater.65, 35-43, DOI: 10.1016/j.mechmat.2013.05.015.
• Auriault, J.-L., C. Boutin, and C. Geindreau (2009), Homogenization of Coupled Phenomena in Heterogeneous Media, Wiley-ISTE, London.
• Jackson, D.D., and D.L. Anderson (1970), Physical mechanisms of seismic-wave attenuation, Rev. Geophys.8, 1, 1-63, DOI: 10.1029/RG008i001p00001.
• Tsai, V.C. (2011), A model for seasonal changes in GPS positions and seismic wave speeds due to thermoelastic and hydrologic variations, J. Geophys. Res.116, B4, B04404, DOI: 10.1029/2010JB008156