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M m : Theory of a variable‐period mantle magnitude
Author(s) -
Okal Emile A.,
Talandier Jacques
Publication year - 1987
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/gl014i008p00836
Subject(s) - magnitude (astronomy) , mantle (geology) , frequency domain , geology , rayleigh scattering , rayleigh wave , physics , time domain , geophysics , seismology , computational physics , geodesy , wave propagation , mathematics , mathematical analysis , optics , computer science , astrophysics , computer vision
We use classic expressions of the excitation and propagation of Rayleigh waves to develop a mantle magnitude M m , measured at variable period between 40 and 300 s. We justify theoretically the use of distance and source excitation corrections, and obtain simplified expressions for them. We also explore the possible influence of the presence of a corner frequency in the spectrum. Finally, we relate frequency‐domain measurements to the standard practice of measuring magnitudes in the time domain, and justify the latter for wavetrains with strong dispersion.