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The time evolution and geometry of rough interfaces observed in experiments on immiscible displacement of viscous fluids in porous media are analysed using the concepts of dynamic scaling and self-affine fractal geometry. The authors find that the development of the interface is governed by dynamic scaling and they have determined the corresponding surface exponents alpha and beta . The values of the exponents calculated for the experimental patterns are different from those obtained for a variety of two-dimensional models of marginally stable interfaces.
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Horváth et al. (1991) studied this question.
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