Knapsack problem for Baumslag–Solitar groups
In: Sibirskii zhurnal chistoi i prikladnoi matematiki, Band 18, Heft 4, S. 43-56
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In: Sibirskii zhurnal chistoi i prikladnoi matematiki, Band 18, Heft 4, S. 43-56
In: Natural hazards and earth system sciences: NHESS, Band 11, Heft 12, S. 3171-3180
ISSN: 1684-9981
Abstract. Lithospheric ultra low frequency (ULF) magnetic activity is recently considered as a very promising candidate for application to short-time earthquake forecasting. However the intensity of the ULF lithospheric magnetic field is very weak and often masked by much stronger ionospheric and magnetospheric signals. The study of pre-earthquake magnetic activity before the occurrence of a strong earthquake is a very hard problem which consists of the identification and localization of the weak signal sources in earthquake hazardous areas of the Earth's crust. For the separation and localization of such sources, we used a new polarization ellipse technique (Dudkin et al., 2010) to process data acquired from fluxgate magnetometers installed in the Sichuan province, China. Sichuan is the region of the strongest seismic activity on the territory of China. During the last century, about 40 earthquakes with magnitude M ≥ 6.5 happened here in close proximity to heavy populated zones. The Panzhihua earthquake Mw = 6.0 happened in the southern part of Sichuan province on 30 August 2008 at 8:30:52 UT. The earthquake hypocentre was located at 10 km depth. During the period 30–31 August – the beginning of September 2008, many clustered aftershocks with magnitudes of up to 5.6 occurred near the earthquake epicentre. The data from three fluxgate magnetometers (belonged to China magnetometer network and placed near to the clustered earthquakes at a distance of 10–55 km from main shock epicenter) have been processed. The separation between the magnetometers was in the range of 40–65 km. The analysis of a local lithospheric magnetic activity during the period of January–December 2008 and a possible source structure have been presented in this paper.
In: Natural hazards and earth system sciences: NHESS, Band 10, Heft 7, S. 1513-1522
ISSN: 1684-9981
Abstract. A new approach is developed to find the source azimuth of the ultra low frequency (ULF) electromagnetic (EM) signals believed to be emanating from well defined seismic zone. The method is test applied on magnetic data procured from the seismoactive region of Koyna-Warna, known for prolonged reservoir triggered seismicity. Extremely low-noise, high-sensitivity LEMI-30 search coil magnetometers were used to measure simultaneously the vector magnetic field in the frequency range 0.001–32 Hz at two stations, the one located within and another ~100 km away from the seismic active zone. During the observation campaign extending from 15 March to 30 June 2006 two earthquakes (EQs) of magnitude (ML>4) occurred, which are searched for the presence of precursory EM signals. Comparison of polarization ellipses (PE) parameters formed by the magnetic field components at the measurement stations, in select frequency bands, allows discrimination of seismo-EM signals from the natural background ULF signals of magnetospheric/ionospheric origin. The magnetic field components corresponding to spectral bands dominated by seismo-EM fields define the PE plane which at any instant contains the source of the EM fields. Intersection lines of such defined PE planes for distant observation stations clutter in to the source region. Approximating the magnetic-dipole configuration for the source, the magnetic field components along the intersection lines suggest that azimuth of the EM source align in the NNW-SSE direction. This direction well coincides with the orientation of nodal plane of normal fault plane mechanism for the two largest EQs recorded during the campaign. More significantly the correspondence of this direction with the tectonic controlled trend in local seismicity, it has been surmised that high pressure fluid flow along the fault that facilitate EQs in the region may also be the source mechanism for EM fields by electrokinetic effect.