Temporal Change of Fractal Dimension of Explosion Earthquakes and Harmonic Tremors at Semeru Volcano, East Java, Indonesia, using Critical Exponent Method

Fractal analyses of successive event of explosion earthquake and harmonic tremor recorded at Semeru volcano were carried out to investigate the dynamical system regarding to their generating mechanism. The explosive eruptions accompanied by explosion earthquakes and following volcanic tremor which are generated by continuous emission of volcanic ash. The fractal dimension of successive event of explosion and harmonic tremor was estimated by Critical Exponent Method (CEM). It was found that the method yield a higher fractal dimension of explosion earthquakes and gradually decrease during the occurrence of harmonic tremor, and can be considerably as correlated complexity of the source mechanism from the variance of fractal dimension.




References:
[1] M Nakagawa, "Chaos and Fractal in Engineering," Singapore: World
Scientific, 1999, ch. 3.
[2] M Phothisonothai, M Nakagawa, "EEG-Based Fractal Analysis of
Different Motor Imagery Tasks using Critical Exponent Method," Intl.
Journal of Biomedical Sciences, vol. 1; pp175-180, 2006
[3] K Kusumadinata, "Catalogue of References on Indonesian Volcanoes
with Eruptions in Historical Time", Volcanological Survey of Indonesia,
pp 304, 1979
[4] S Siswowidjoyo, U Sudarsono, A D Wirakusumah, "The threat of hazards
in the Semeru volcano region in East Java, Indonesia," Journal of Asian
Earth Sciences, vol 15; pp. 185-194, 1997
[5] I Mulyana, "Characteristics of harmonic tremor at Semeru volcano, East
Java, Indonesia," JICA Final Report of Volcanology and Comprehensive
Sediment-related Disaster Prevention Measures J05-00876, 2006)
[6] K Nishi, M Hendrasto, I Mulyana, U Rosadi, M A Purbawinata,
"Micro-tilt changes prior to the summit explosions at Semeru volcano,
Indonesia" Earth, Planets and Space, vol. 59; pp. 151-159, (2007
[7] S Maryanto, M Iguchi, and T Tameguri, "Spatio-Temporal Characteristics
on Spectra and Particle Motion of Harmonic Tremors at Sakurajima
Volcano, Japan," Ann. Disast. Prev. Res. Inst., Kyoto University, vol.
48B, pp. 329-339, Apr. 2005
[8] S Maryanto, M Iguchi, and T Tameguri, "Constraints on the sources
mechanism of harmonic tremors based on seismological, ground
deformation, and visual observations at Sakurajima Volcano, Japan,"
Journal of Volcanology and Geothermal Research, vol. 170, pp. 198-217,
2008
[9] J Benoit and SR McNutt, "New constraints on source processes of
volcanic tremor at Arenal volcano, Costa Rica, using broadband seismic
data" Geophys. Res. Lett., vol. 24, no. 4, pp. 449-452, Feb. 1997
[10] B Chouet, "Excitation of a buried magmatic pipe: a seismic source model
for volcanic tremor," J. Geophys. Res., vol. 90, no. B2, pp 1881-1893,
Feb. 1985.
[11] V Schlindwein, J Wassermann and F Scherbaum. Spectral analysis of
harmonic tremor signals at Mt. Semeru volcano, Indonesia. Geophys. Res.
Lett., vol. 22, no. 13, pp 1685-1688, Jul. 1995.
[12] M Hellweg, "Physical model for the source of Lascar`s harmonic tremor,"
J. Volcanol. Geotherm. Res., vol 101, no. 1-2, pp. 183-198, Aug. 2000.
[13] S Kedar, S Bradford, and H Kanamori, "The origin of harmonic tremor at
Old Faithful geyser," Nature, vol. 379, no. 22, pp. 708-711, Feb. 1996.
[14] BR Julian, "Volcanic tremor: non-linear excitation by fluid flow," J.
Geophys. Res., vol. 99, no. B6, pp 11859-11877, Jun. 1994.
[15] B Chouet and HR Shaw, "Fractal Properties of Tremor and Gas-piston
Events Observed at Kilauea Volcano, Hawaii," Journal of Geophysics
Research, vol. 96, no B6, pp. 10177-10189, Jun. 1991.
[16] C Godano, C Cardaci, and E Privitera, "Intermittent Behaviour of
Volcanic Tremor at Mt. Etna," Pure Appl. Geophysics, vol. 147, no. 4, pp.
729-744, Oct. 1996.
[17] C Godano and P Capuano, "Source Characterisation of Low Frequency
Events at Stromboli and Vulcano Islands (Isole Eolie Italy)," Journal of
Seismology, vol. 3, no. 4, pp. 393-408, Oct. 1999.
[18] KI Konstantinou, "Deterministic Nonlinear Source Processes of Volcanic
Tremor Signals Accompanying the 1996 Vatnajökull Eruption, Central
Iceland," Geophys. J. Int., vol. 148, no. 3, pp 663-675, March 2002.
[19] KI Konstantinou and Lin CH, "Nonlinear Time Series Analysis of
Volcanic Tremor Events Recorded at Sangay Volcano, Ecuador. Pure
Appl. Geophysics, vol. 161, no. 1, pp. 145-163, Jan. 2004.
[20] T Tameguri, S Maryanto, and M Iguchi, "Moment tensor analysis of
harmonic tremors at Sakurajima Volcano," Ann. Disast. Prev. Res. Inst.
Kyoto University, vol. 48B, pp. 323-328, Apr. 2005.
[21] T Tameguri, S Maryanto, and M Iguchi, "Source Mechanism of Harmonic
Tremor at Sakurajima Volcano," Bull. Volcanol. Soc. Japan, vol. 52, pp
273-279, 2007.