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Solid matrix partition by fracture networks.

R Rosenzweig1, V V Mourzenko2, J-F Thovert2

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Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

This study numerically investigates matrix block properties in random fracture networks. Findings reveal general expressions for dilute limits and power laws for dense regimes, applicable across various fracture shapes.

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Area of Science:

  • Geophysics
  • Material Science
  • Computational Modeling

Background:

  • Understanding the geometrical properties of blocks formed by random fracture networks is crucial for various scientific and engineering applications.
  • Existing models often struggle to accurately represent block characteristics across different fracture densities and shapes.

Purpose of the Study:

  • To numerically investigate the geometrical properties of matrix blocks within random fracture networks.
  • To develop a general model for block characteristics applicable from dilute to dense fracture regimes, considering various fracture shapes.

Main Methods:

  • Numerical simulations were employed to analyze fracture networks with a wide range of fracture shapes and densities.
  • Key block characteristics, including density, volume fraction, mean volume, surface area, and number of faces, were quantified.

Main Results:

  • General expressions for block characteristics were derived for the dilute fracture limit, showing good agreement with numerical data for all fracture shapes.
  • In dense regimes, block properties follow power laws with shape-independent exponents, and dilute limit shape factors remain relevant.
  • A general model was formulated, incorporating shape factors and valid up to total matrix fracturation, with a determined transition density.

Conclusions:

  • The study provides a comprehensive understanding of matrix block geometry in random fracture networks across varying densities and shapes.
  • The developed general model offers a simple and accurate method for predicting block characteristics, accounting for fracture shape effects.
  • Results indicate convergence towards space tessellation by infinite planes beyond the transition density.