Generalized Theory of Acoustic Propagation in Porous Dissipative Media
Author(s) -
M. A. Biot
Publication year - 1962
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.1918315
Subject(s) - dissipative system , dissipation , porous medium , viscoelasticity , thermoelastic damping , classical mechanics , mixture theory , physics , electrokinetic phenomena , isotropy , relaxation (psychology) , tensor (intrinsic definition) , mechanics , thermodynamics , porosity , materials science , mathematics , geometry , optics , psychology , social psychology , statistics , thermal , mixture model , composite material , nanotechnology
International audienceThe theory of acoustic propagation in porous media is extended to include anisotropy,viscoelasticity, and solid dissipation. A more refined analysis of the relative motion of the fluid in the pores is also developed by introducing the concept of viscodynamic operational tensor. The nature of this operator is analyzed by applying variational and Lagrangian methods. Viscoelasticity and solid dissipation are introduced by applying the correspondence principle as derived from thermodynamics in earlier work by the author. Various dissipative models are discussed and the corresponding operators and relaxation spectra are derived. The physical chemistry of the multiphase porous medium including surface effects lies within the scope of the thermodynamic theory. The nature of thermoelastic dissipation and electrokinetic effects in relation to the thermodynamic theory is also brought out
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