Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000geoji.140..587m&link_type=abstract
Geophysical Journal International, Volume 140, Issue 3, pp. 587-597.
Astronomy and Astrophysics
Astronomy
2
Attenuation, Cracks, Effective Medium Theory, Wave Propagation
Scientific paper
A large class of methods, describing wave propagation in media containing cracks with a size much smaller than the wavelength of the probing wavefield, is based on the concept of a homogeneous effective medium. These methods have been very successful but do not account for the presence of spatial correlations, or variations therein, of the different crack systems. We present a method, based on a second-order Neumann series expansion of the scattered wavefield, for deriving an apparent medium that is not necessarily homogeneous and takes these spatial correlations into account. A useful aspect of this method is that it establishes a relation between apparent dispersion and absorption on the one hand and the spatial distribution of crack systems on the other. A more restrictive aspect of our apparent model, when compared to effective medium methods, is the fact that it is based on lateral periodicity and monochromatic plane wave incidence. Despite its restrictions, the method is of interest since it can account for delay, dispersion and attenuation (which are quantities that can be observed in tomographic seismic experiments) and it relates these quantities to parameters associated with the distributions and sizes of the crack systems involved.
Herman Gérard C.
Muijres Guus J. H.
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