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Scale effects on dynamic wave propagation in heterogeneous media
Author(s) -
Yin Hezhu,
Mavko Gary,
Mukerji Tapan,
Nur Amos
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 - 10.1029/95gl03174
Subject(s) - wavelength , dispersion (optics) , materials science , scale (ratio) , wave propagation , modulus , velocity dispersion , length scale , scattering , optics , composite material , mechanics , physics , optoelectronics , quantum mechanics , galaxy
To study scale‐effects on wave propagation in 3‐D heterogeneous media, we conducted dynamic and static laboratory experiments on seven samples of glass beads cast with epoxy. We measured P and S wave velocities and frequency dispersion by the pulse‐transmission method, and static elastic Young's modulus by a uniaxial stress test. We changed the scale of the heterogeneity by varying the diameter of the glass beads in each sample, and obtained wavelength to scale ratios varying from 0.2 to 20. We observed about 22% P‐wave velocity dispsersion and 15% S‐wave velocity dispersion within this range of wavelength to scale ratios. We observed no scale effects on the static Young's modulus of the same seven samples. It is clear that strong wave velocity dispersion in the experiment is due to the dynamic wavelength‐scale effects caused by scattering.