Premium
Wavelet analysis of velocity dispersion of elastic interface waves propagating along a fracture
Author(s) -
PyrakNolte Laura J.,
Nolte David D.
Publication year - 1995
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 - 10.1029/95gl01323
Subject(s) - wavelet , dispersion (optics) , discontinuity (linguistics) , fracture (geology) , velocity dispersion , geology , displacement (psychology) , phase velocity , seismology , physics , acoustics , optics , mathematics , geotechnical engineering , mathematical analysis , artificial intelligence , galaxy , computer science , psychology , quantum mechanics , psychotherapist
A wavelet analysis is performed on seismic waveforms of elastic interface waves that propagate along a fracture. The wavelet analysis provides a direct quantitative measure of spectral content as a function of arrival time. We find that the spectral content of the interface wave signals is not stationary, but exhibits increasing frequency content for later arrival times, representing negative velocity dispersion. The dispersion increases from −11 m/sec/MHz to −116 m/sec/MHz as the stress on the fracture is increased from 3.5 kPa to 33 MPa. The negative velocity dispersion agrees with predictions from the displacement‐discontinuity theory of the seismic response of fractures, and can be used to fit fracture stiffness.