An efficient method to compute the dynamic response of a fluid-filled crack

Geophysical Journal International

Volumn 174, Issue 3, 2008, Pages 1174-1186

  Yamamoto, Mare ^a,b   Kawakatsu, Hitoshi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

Hydrothermal systems; Interface waves; Volcano seismology

Indexed keywords

CRACK PROPAGATION; DYNAMIC RESPONSE; ESTIMATION METHOD; HYDROTHERMAL SYSTEM; MICROTREMOR; QUANTITATIVE ANALYSIS; SEISMIC ATTENUATION; SOURCE PARAMETERS; VIBRATION; VOLCANO;

EID: 50649097477     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.03871.x     Document Type: Article

References (33)

1. Aki, K. & Richards, P., 2002. Quantitative Seismology, 2nd edn, University Science Books, Sausalito.
2. Aki, K., Fehler, M. & Das, S., 1977. Source mechanismof volcanic tremor: Fluid-driven crack models and their application to the 1963 Kilauea eruption, J. Volc. Geotherm. Res., 2, 259-287.
3. Banerjee, P.K. & Butterfield, R., 1979. Developments in Boundary Element Methods, Elsevier Applied Science Publishers, London, UK.
4. Benites, R., Aki, K. & Yomogida, K., 1992. Multiple scattering of SH waves in 2-D media with many cavities, Pure appl. Geophys., 138, 353-390.
5. Biot, M.A., 1952. Propagation of elastic waves in a cylindrical bore containing a fluid, J. appl. Phys., 23 (9), 997-1005.
6. Biot, M.A., 1956. The theory of propagation of elastic waves in a fluid-saturated porous solid, I. Low-frequency range, J. acoust. Soc. Am., 28 (2), 168-178.
7. Carcione, J.M., Cavallini, F., Mainardi, F. & Hanyga, A., 2002. Time-domain modeling of constant-Q seismic waves using fractional derivatives, Pure appl. Geophys., 159, 1719-1736.
8. Chouet, B., 1985. Excitation of a buried magmatic pipe: A seismic source model for volcanic tremor, J. geophys. Res., 90, 1881-1893.
9. Chouet, B., 1986. Dynamics of a fluid-driven crack in three dimensions by the finite difference method, J. geophys. Res., 91, 13967-13992.
10. Chouet, B., 1988. Resonance of a fluid-driven crack: Radiation properties and implications for the source of long-period events and harmonic tremor, J. geophys. Res., 93, 4375-4400.
11. Chouet, B., 2003. Volcano seismology, Pure appl. Geophys., 160, 739-788.
12. De Angelis, S. & McNutt, S.R., 2005. Degassing and hydrothermal activity at Mt. Spurr, Alaska during the summer of 2004 inferred from the complex frequencies of long-period events, Geophys. Res. Lett., 32, L12312.
13. Dvorkin, J., Mavko, G. & Nur, A., 1992. The dynamics of viscous compressible fluid in a fracture, Geophysics, 57, 720-726.
14. Ferrazzini, V. & Aki, K., 1987. Slow waves trapped in a fluid-filled infinite crack: Implication for volcanic tremor, J. geophys. Res., 92, 9215-9223.
15. Ferrick, M., Qamar, A. & Lawrence, W.F.S., 1982. Source mechanism of volcanic tremor, J. geophys. Res., 87, 8675-8683.
16. Fujita, E. & Ida, Y., 2003. Geometrical effects and low-attenuation resonance of volcanic fluid inclusions for the source mechanism of long-period earthquakes, J. geophys. Res., 108, 2118.
17. Fujita, E., Ida, Y. & Oikawa, J., 1995. Eigen oscillation of a fluid sphere and source mechanism of harmonic volcanic tremor, J. Volc. Geotherm. Res., 69, 365-378.
18. Hua, Y. & Sarkar, T.K., 1990. Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise, IEEE, Transa. Acoust., Speech, Signal Process., 38, 814-824.
19. Kawakatsu, H. & Yamamoto, M., 2007. Volcano seismology, in Treatise on Geophysics, Elsevier, Amsterdam, The Netherlands.
20. Kawakatsu, H. et al., 2000. Aso94: Aso seismic observation with broadband instruments, J. Volc. Geotherm. Res., 101, 129-154.
21. Korneev, V., 2008. Slow waves in fractures filled with viscous fluid, Geophysics, 73 (1), N1-N7.
22. Krauklis, P.V., 1962. On low-frequency oscillations of a liquid layer in an elastic medium, Prikladnaya Matematika i Mekhanika (J. Appl. Math. Mech.), 26, 1111-1115.
23. Krauklis, P.V., 1999. The interference slow wave in a poroacoustic Biot layer, Zapiski Nauchnyh Seminarov POMI (J. Math. Sci.), 257, 137-148.
24. Kumagai, H. & Chouet, B.A., 2000. Acoustic properties of a crack containing magmatic or hydrothermal fluids, J. geophys. Res., 105, 25493-25512.
25. Kumagai, H., Chouet, B.A. & Nakano, M., 2002. Temporal evolution of a hydrothermal system in Kusatsu-Shirane volcano, Japan, inferred from the complex frequencies of long-period events, J. geophys. Res., 107, 2236.
26. Kumagai, H., Miyakawa, K., Negishi, H., Inoue, H., Obara, K. & Suetsugu, D., 2003. Magmatic dike resonances inferred from very-long-period seismic signals, Science, 299, 2058-2061.
27. Kumazawa, M., Imanishi, Y., Fukao, Y., Furumoto, M. & Yamamoto, A., 1990. A theory of spectral analysis based on the characteristic property of a linear dynamic system, Geophys. J. Int., 101, 613-630.
28. Molina, I., Kumagai, H. & Yepes, H., 2004. Resonances of a volcanic conduit triggered by repetitive injections of an ash-laden gas, Geophys. Res. Lett., 31, L03603.
29. Randall, C.J., 1991. Modes of noncircular fluid-filled boreholes in elastic formations, J. acoust. Soc. Am., 89, 1002-1016.
30. Sakuraba, A., Oikawa, J. & Imanishi, Y., 2002. Free oscillations of a fluid sphere in an infinite elastic medium and long-period volcanic earthquakes, Earth, Planets and Space, 54, 91-106.
31. Schoenberg, M. & Sen, P.N., 1983. Properties of a periodically stratified acoustic half-space and its relation to a biot fluid, J. acoust. Soc. Am., 73, 61-67.
32. Spence, D. & Turcotte, D.L., 1985. Magma-driven propagation crack, J. geophys. Res., 90, 575-580.
33. Yamamoto, M., Kawakatsu, H., Kaneshima, S., Mori, T., Tsutsui, T., Sudo, Y. & Morita, Y., 1999. Detection of a crack-like conduit beneath the active crater at Aso volcano, Japan, Geophys. Res. Lett., 26, 3677-3680.