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CPS2219 Hasih P. et al.
                      The management of earthquake disasters is still being studied in terms of
                  both  seismology  and  stochastic  aspects.  One  of  the  stochastic  model  that
                  describes  earthquake’s  phenomenon  is  a  point  process.  In  this  process,
                  earthquakes are seen as a collection of random points in a space, with each
                  point stating the time and / or location of the earthquake (Sunusi et al. [4]). In
                  the point process to find out the intensity of events per unit of time can be
                  known through the conditional intensity function (Ogata [6]). The conditional
                  intensity function is the probability of the occurrence of an event in a very
                  small time interval with the conditions of the events in the previous time.
                      In the seismology, elastic rebound theory still has a major role. The elastic
                  rebound theory that proposed by Reid is a classic theory for earthquakes. This
                  theory showed that the elastic pressure in the seismic region accumulates due
                  to tectonic plate movement and is released when the pressure exceeds the
                  limit of plate strength. This theory also showed that large earthquakes are
                  usually  followed  by  passive  periods,  whereas  in  fact  large  earthquakes  are
                  followed by active periods and sometimes followed by earthquakes that have
                  nearly the same magnitude (Lu et al. [1]).
                      Vere-Jones  [2]  proposed  a  stress  release  model,  which  is  a  stochastic
                  version of the elastic rebound theory. The stress release model considers the
                  pressure that increases in an area and the pressure had been released during
                  an earthquake in a certain period. In 1994, Zheng and Vere-Jones [5] applied
                  a stress release model to earthquake data in China, Iran, and Japan. One of the
                  interesting phenomenon to be observed in his research is that the biggest
                  event is often followed by other major events that are located far enough from
                  the first event. In the earthquake analysis, an area has interaction with other
                  regions.  Zheng  and  Vere-Jones  [5]  noted  several  clues  to  the  grouping  of
                  treatment transfers of pressure and interaction interregions. Transfer of stress
                  and interaction interregions cannot be considered in the stress release model.
                  The model linked stress release is the development of the stress release model
                  proposed  for  spatial  analysis  of  the  earthquake’s  occurrence  through  the
                  transfer of pressure over large areas of the earth's crust.
                      Jawa, Bali and Nusa Tenggara are part of Indonesia's seismotectonics. This
                  area is traversed by Mediterranean mountains and there is a subduction zone
                  due to a meeting between the Eurasian Plate and the Indo-Australian Plate.
                  The limit of this meeting is in the form of an Oceanic Trench in the south of
                  the cluster of Java, Bali and Nusa Tenggara Islands. This condition causes Java,
                  Bali, and Nusa Tenggara to have high seismic activity.
                      Through a linked stress release model, it can be used to analyze stress
                  transfers and interactions between regions on the three islands. In the June-
                  August 2018 a series of earthquakes occurred on the islands of Lombok and
                  Sumbawa which were felt to reach Bali and some parts of Java. The biggest
                  earthquake was a magnitude of 7.2 SR which occurred on 5th August 2018

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