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Published on: April 18, 2011
Permeability of self-affine rough fractures
1Benjamin Levich Institute and Department of Physics, City College of the City University of New York, New York, New York 10031, USA.
Summary
We studied fluid flow through rough fractures using math and computer simulations. Our findings reveal how fracture roughness affects flow, providing insights for various scientific fields.
Area of Science:
- Geophysics
- Fluid Dynamics
- Materials Science
Background:
- Understanding fluid flow in fractured rock is crucial for subsurface energy extraction and waste disposal.
- Fracture surfaces exhibit complex roughness, often described by fractal geometry.
- The interplay between roughness and aperture significantly influences permeability.
Purpose of the Study:
- To investigate the permeability of two-dimensional fractures with self-affine fractal roughness.
- To analyze the influence of varying roughness amplitudes and aperture sizes on fluid flow.
- To validate analytical models with numerical simulations.
Main Methods:
- Analytical arguments using perturbation methods for small roughness amplitudes.
- Heuristic arguments based on lubrication theory for narrow apertures.
- Numerical simulations employing the lattice Boltzmann method across a full range of aperture sizes.
Main Results:
- The study provides a comprehensive analysis of fracture permeability across different roughness regimes.
- Analytical and numerical methods yield consistent results, confirming the models' validity.
- Permeability is shown to be highly sensitive to the interplay of roughness and aperture.
Conclusions:
- The developed models accurately describe fluid flow in fractal rough fractures.
- This research enhances our understanding of fluid transport in porous media.
- Findings have implications for modeling flow in geological formations and engineered systems.
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