Flexible scaling model for use in random field simulation of hydraulic conductivity

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An efficient, three-dimensional, anisotropic, fractional Brownian motion and truncated fractional Levy motion simulation algorithm based on successive random additions (2003, methodology): “Previous research has shown that spatial variations of K or lnðKÞ often display scaling that has been modeled using the properties of fractals (Molz and Boman, 1993; Painter and Paterson, 1994; Painter, 1996a, 2001; Molz et al., 1997).”
Fractional Laplace model for hydraulic conductivity (2004, background): “This led to the proposal of stochastic models that can be varied between Gaussian and Lévy behavior [Painter, 2001].”
Aquifer operator scaling and the effect on solute mixing and dispersion (2006, methodology): “A number of techniques are widely used to generate scalar random field replicas of aquifers for use in the Monte Carlo studies [Tompson et al., 1989; Deutsch and Journel, 1992; Dietrich and Newsam, 1993; Robin et al., 1993; Carle and Fogg, 1997; Bruining et al., 1997; Hassan et al., 1997; Ruan and M”