Numerical analysis of diffusion in discrete fracture networks with fractal geometry by using pressure transient data

초록

This article presents numerical analyses oil diffusion trend for the fractured media with fractal properties by pressure transient data. The authors develop a discrete fracture model with random fracture pattern and a power-law length distribution, which has not been fully considered in the previous fractal modeling. Front the model presented, the fractal dimension and conductivity index is determined, and the pressure behavior is analyzed for the range of length exponent (a) of power-law from 1 and 3. Various fractal geometries are examined depending oil the morphology of fractures. A single fractal characteristic is observed in the media dominated by long (a < 2) or small fractures (a > 3), and two distinct fractal dimensions in pertinently mixed system of long and small fractures (2 < a < 3). Also, pressure transient behaviors in the mixed system show their unique characteristics, corresponding to each fractal dimension respectively It is shown that diffusion effect is relatively small in the early time influenced by a few long fractures, and becomes larger in the late time by long and small fractures.

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