• Corpus ID: 250243841

A discrete time evolution model for fracture networks

  title={A discrete time evolution model for fracture networks},
  author={G{\'a}bor Domokos and Krisztina RegHos},
We examine geophysical crack patterns using the mean field theory of convex mosaics. We assign the pair (𝑛 Μ… βˆ— , 𝑣 Μ… βˆ— ) of average corner degrees to each crack pattern and we define two local, random evolutionary steps R 0 and R 1 , corresponding to secondary fracture and rearrangement of cracks, respectively. Random sequences of these steps result in trajectories on the (𝑛 Μ… βˆ— , 𝑣 Μ… βˆ— ) plane. We prove the existence of limit points for several types of trajectories. Also, we prove that… 

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