||Modeling 3-D anisotropic fractal media||
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Published as SEP report, 80, 603-616 (1994)
Modeling 3-D anisotropic fractal media
This paper presents stochastic descriptions of anisotropic fractal media.
Second order statistics are used to represent the continuous random field as a
stationary zero-mean process completely specified by its two-point covariance
In analogy to the two-dimensional Goff and
Jordan model for seafloor morphology, I present the von Karman functions as
a generalization to media with exponential correlation functions.
I also compute a two-state
model by mapping the random field from continuous realizations to a binary
field. The method can find application in modeling impedances from fractal
media and in fluid flow problems.