Mathematical problems in geophysical investigations of solid Earth
The objective of the paper is to develop a numerical model describing the interface between drops of oil and water while their joint movement through the porous media. The fluids have different viscosities. Porosity and permeability have pulsations from an extreme wide range of scales. The refined scaling theory of and the lognormal model is used for the media. The Kolmogorov's scaling is similar to multifractal. The displacement of one fluid by another one is displayed with the passive particles which label the interface between the fluids.
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