Search

Search Results

• THE TRANSIENT REGIME PATTERNS IN THE DISSIPATIVE CELL MODEL OF EARTHQUAKES

  А.S. Cherepantsev

  2022-11-01

  Abstract ▼

  The purpose of this work was to analyze the mechanisms of the growth of drop clusters,
  leading on a finite-size lattice to a state close to a critical one with a power-law size distribution of
  clusters similar to that observed in a seismic process. At the same time, the question of applicability
  of this model to the description of processes in a real geophysical medium remains. Analysis of
  the elements coupling in the one-dimensional OFC model with open boundary conditions allowsan estimation of the variability of the incoming energy to the lattice elements located at different
  distances from the boundaries. The constructed computational model makes it possible to
  estimate the size of the boundary areas of high average incoming energy variability at different
  values of the coupling parameter α. It is shown that, as α grows, the boundary region of inhomogeneity
  expands. It is shown that there are two different modes of synchronous drop fo rmation,
  simulating an earthquake. Both mechanisms are determined by the capture of a neighboring
  element and the subsequent synchronization of the drops. This process forms a stable
  drop of a larger size. The presence of boundary regions with a high gradient of the input energy
  rate is the main mechanism for the formation of clusters of lattice elements, demonstrating the
  simultaneous drop of the accumulated energy. Such a synchronization is achieved due to the
  high mutual variability of energy at each iteration step. The second important mechanism of
  cluster growth is typical for the formed clusters that exceed the size of the near-boundary region
  of high inhomogeneity of the energy inflow. As the cluster size grows, the capture area of
  neighboring elements that are not included in the cluster expands. Accordingly, the probabi lity
  that the energy of the neighboring element is in the capture area increases. The calculations
  show that the mean time of reaching the given size of the cluster on the lattice at different sp atial
  dimensions d and at different coupling parameters confirms the presence of two time intervals
  with a different mechanism of cluster formation. In this case, the growth of large clusters has
  a power-law character, with an exponent determined by the dimension d.