Energy flux in viscoelastic anisotropic media

Vlastislav Cerveny & Ivan Psencik


Properties of the complex-valued Poynting vector F of homogeneous and inhomoge- neous time-harmonic plane waves, propagating in an unbounded viscoelastic anisotropic medium are investigated, both analytically and numerically. The real-valued part of the Poynting vector represents the time-averaged energy flux, and its imaginary-valued part is closely related to the dissipated energy Ddiss. An algorithm for the computation of the Poynting vector is proposed, which can be used for media of unrestricted anisotropy and viscoelasticity, and for arbitrary homogeneous or inhomogeneous plane waves. Numerical examples are presented, illustrating behaviour of the Poynting vector and other energy quantities, for homogeneous/inhomogeneous plane P, SV and SH waves.


Viscoelastic anisotropic media, inhomogeneous plane waves, Poynting vector, time-averaged energy flux, attenuation vector.

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In: Seismic Waves in Complex 3-D Structures, Report 15, pp. 295-332, Dep. Geophys., Charles Univ., Prague, 2005.
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