Page 244 - Numerical Analysis and Modelling in Geomechanics
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F.PERGALANI, V.PETRINI, A.PUGLIESE AND T.SANÒ 225
            f  denotes the probability density function of the source to site distance; and the
            R
            summation of the activity rates v  extends over all the seismic sources.
                                      i
              In particular, for a Poisson process, the exceedence probability that a ground
            motion amplitude A is greater than a in time t is given by:
                                                                         (8.2)

            where λ is the yearly frequency of exceedence of the ground motion amplitude
            A.
              The hazard analyses were carried out with the following assumptions:
            • The activity rate at each magnitude corresponds to the 50th percentile of the
              frequency-magnitude relationship;
            • Strong  ground  motion  uncertainties  resulting  from  the  attenuation
              relationships of Sabetta and Pugliese (1996) were taken into account;
            • A threshold magnitude of 4.7 was adopted, to avoid a misleading contribution
              to the seismic hazard coming from the integration in equation (8.1) of small
              magnitudes of little engineering interest (McCann and Reed, 1989);
            • In  each  seismic  source  zone  the  maximum  magnitude  coincides  with  the
              maximum historical magnitude.


                                      Seismic sources
            The  current  Italian  seismotectonic  model  is  constituted  of  80  seismic  source
            zones (Figure 8.1) based on a kinematic model of the most recent tectonic units
            (Scandone et al., 1990; Patacca et al., 1993; Scandone et al., 1996).
              The  zones  belong  to  nine  main  seismotectonic  domains  and  one  volcano-
            tectonic  domain  (Figure  8.2).  The  mountainous  Alpine  arc  (domain  1)  is
            characterized by a prevalently compressive regime, with thrust or reverse faults,
            and secondary strike-slip faults. In north-eastern Italy this domain represents the
            compressive  margin  between  the  Adriatic  micro-plate  and  the  Eurasian  plate
            (Albarello  et  al.,  1995).  The  northern  Apennines  are  divided  into  domains
            elongated  parallel  to  the  chain  (Lavecchia  et  al.,  1994).  On  the  western  side
            (domain 5—zones 27, 31, 41, 42, 49) prevails a rifting regime with a moderate
            seismicity along normal faults. The eastern side of the chain (domain 3—zones
            30,  35,  38,  39,  48,  53)  is  representative  of  a  compressive  regime  due  to  the
            residual  inflection  of  the  Adriatic  micro-plate  going  under  the  Apennine  chain
            (roll-back mechanism; Scandone, 1996). The resulting fault mechanisms are both
            compressive  along  the  front  of  the  Apennine  chain  over-thrusting  the  Adriatic
            micro-plate and normal to transcurrent along the flexural inflection of the plate
            itself. Along the chain axis (domain 4— zones 28, 29, 32, 33, 34, 36, 37, 44, 45,
            46, 47, 50, 51, 52; domain 6—zones 58, 62, 63, 64 and domain 7—zones 66, 67,
            69,  70,  71,  72)  the  uplift  prevails,  reaching  maximum  rates  in  the  southern
            Apennines  (Cinque  et  al.,  1993;  Moretti  et  al.,  1994).  Focal  mechanisms  are
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