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Scaling and statistical trends of the apparent stress for heterogeneous seismic sources

Senatorski P.

Acta Geophysica Polonica

2003

Vol. 51, nr 2

125-134

The apparent stress can be understood as the correlation integral of the slip velocity field over an earthquake rupture area (Senatorski, 2003). This means that the apparent stress is a macroscopic function, which can be expressed as an average of microscopic quantities describing details of the rupture process. Here it is shown, using this statistical mechanics approach and a view of the slip velocity pulse-like rupture propagation, that the apparent stress can be formulated as a function of three other macroscopic parameters - the seismic moment, the rupture area and the slip acceleration 0 treated as independent variables. Moreover, the scaling relationship for these quantities is derived. This relationship is used to explain statistical trends of the apparent stress and other macroscopic earthquake parameters observed in earthquake populations.