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On the rheological models used for time‐domain methods of seismic wave propagation
Author(s) -
Moczo Peter,
Kristek Jozef
Publication year - 2005
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2004gl021598
Subject(s) - rotation formalisms in three dimensions , rheology , attenuation , domain (mathematical analysis) , time domain , mathematics , computer science , geology , geophysics , mathematical analysis , physics , geometry , optics , thermodynamics , computer vision
After publications by Emmerich and Korn [1987] and Carcione et al. [1988a, 1988b] authors who implemented realistic attenuation in the time‐domain methods decided for either of two rheological models – generalized Maxwell body (as defined by Emmerich and Korn) or generalized Zener body. Two parallel sets of papers and mathematical formalisms developed during the years. We have not found any comments on the other rheology. Therefore, we review both models and show that, in fact, they are equivalent. We also derive material‐independent anelastic functions.