Аннотация:The effective elastic properties ( ∗ )
ijkl C of a random heterogeneous
medium can be presented in terms of average value (< >) ijkl C
and the fluctuation ( ' )
ijkl C . In such medium, the amplitude of
spatial correlation function will have non-zero value because the
inclusions and matrix will have different elastic properties of. The
higher contrast between the inclusions and host rock, the higher
will be the amplitude of the spatial correlation function, and viceversa.
The heterogeneities having smaller and larger slowness
are characterized by positive and negative normalized fluctuation,
respectively. Theoretical modeling results, based on normalized
fluctuation of traveltime slowness, to detect seismic heterogeneities
in 3D random media is shown. We have used the radius of the
spatial correlation function to calculate the extension of the inclusion
in X-, Y- and Z-direction to demarcate the shape of heterogeneity.
Upscaling of the physical properties of the medium is performed to
calibrate the result to the seismic frequency range by changing the
averaging window size. The properties of the medium inside the averaging
window are assumed statistically homogeneous. Results obtained from this
method show that as the size of the sliding window decreases the resolution
of the heterogeneity increases.