[SCG58-33] Continuum model for interacting many faults: emergence of main fault and Gutenberg-Richter’s law
Keywords:earthquake model, simulation, micromechanics, point source
To address the above questions, here we construct a large-scale continuum model for seismicity based on the elasticity theory and the micromechanics theory for defects in solids . In our model, earthquake faults are regarded as point sources, and the seismic moment of a point source is translated into the “eigenstrain” in the context of micromechanics. Then the local stress and released energies of individual earthquake are calculated based on micromechanics, and these earthquakes interact each other via the elastic continuum. We adopt the Mohr-Coulomb failure criterion as the earthquake occurrence condition. Our simulation reproduces a clear band structure, in which the seismic moment accumulates. The GR law is also reproduced with a range of b-value that is consistent with the observations. We discuss how the b-value depends on the pressure and other physical conditions.
 T. Mura, Micromechanics of defects in solids (Springer Science & Business Media, 2013).