A discrete time evolution model for fracture networks

نویسندگان

چکیده

Abstract We examine geological crack patterns using the mean field theory of convex mosaics. assign pair $$\left({\overline{n } }^{*},{\overline{v }^{*}\right)$$ n ¯ ∗ , v average corner degrees (Domokos et al. in A two-vertex theorem for normal tilings. Aequat Math https://doi.org/10.1007/s00010-022-00888-0 , 2022) to each pattern and we define two local, random evolutionary steps R 0 1 corresponding secondary fracture rearrangement cracks, respectively. Random sequences these result trajectories on plane. prove existence limit points several types trajectories. Also, that cell density $$\overline{\rho }= \frac{{\overline{v }^{*}}{{\overline{n }^{*}}$$ ρ = increases monotonically under any admissible trajectory.

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ژورنال

عنوان ژورنال: Central European Journal of Operations Research

سال: 2022

ISSN: ['1613-9178', '1435-246X']

DOI: https://doi.org/10.1007/s10100-022-00838-w