By Renata Dmowska (ed.), Barry Saltzman (ed.)

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They introduced a new method to evaluate the seismic moment tensor in the frequency domain and applied it to 15 seismic events recorded by the mine underground seismic network. The procedure consists of two steps. 8 Hz. In the second step, once the apparent seismic moment had been calculated for each station, the moment tensor was determined from simple relations between the apparent seismic moment and the moment tensor, taking into account the geometrical spreading, freesurface effect, and direction cosines.

1986; Sileny, 1986), and the calculated maximum S-wave amplitudes were compared with those observed from tremors in the Karvina coal mining area, Czechoslovakia (Sileny, 1989). Figure 18, reproduced from 30 SLAWOMIR J. GIBOWICZ * ; * * * * P IC 1A 7 * * * P TENSILE CRACK t t t FIG. 16. Laboratory simulation of a tectonic fault under uniaxial compression P, inclined at an angle to the compression direction. ) Sileny (1989), shows the radiation pattern of P- and S-wave (vertical component) first motion on the whole focal sphere, with the upper hemisphere in the center, corresponding to a combined shear-implosion mechanism with the implosion/shear ratio from 0 to 20% for P waves and from 0 to 100% for S waves.

The source is represented by a circular shear crack containing a single asperity or barrier of annular form. For the barrier model, constant stress drop is assumed outside of the annular barrier, and for the asperity model inside the annular asperity. The seismic moment and stress drop are calculated using both the Madariaga (1976) model of an expanding circular crack with constant rupture velocity and the appropriate relations from theoretical works (Madariaga, 1979; Das and Kostrov, 1983,1985,1986).

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