Modelling of ground deformation and gravity fields using finite element method: An application to Etna volcano

Geophysical Journal International

Volumn 169, Issue 2, 2007, Pages 775-786

  Currenti, Gilda ^a   Del Negro, Ciro ^a   Ganci, Gaetana ^a,b  

^a ISTITUTO NAZIONALE DI GEOFISICA E VULCANOLOGIA   (Italy)

^b UNIVERSITY OF CATANIA   (Italy)

Author keywords

Etna volcano; Finite element method; Gravity changes; Ground deformation

Indexed keywords

DEFORMATION; FINITE ELEMENT METHOD; GRAVITY FIELD; GROUND MOTION; NUMERICAL MODEL; VOLCANISM;

CATANIA [SICILY]; ETNA; EURASIA; EUROPE; ITALY; SICILY; SOUTHERN EUROPE;

EID: 34247217341     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2007.03380.x     Document Type: Article

References (43)

1. Battaglia, M. & Segall, P., 2004. The Interpretation of gravity changes and crustal deformation in active volcanic areas, Pure Appl. Geophys., 161, 1453-1467.
2. Battaglia, M., Segall, P., Murray, J., Cervelli, P. & Langbein, J., 2003. The mechanics of unrest at Long Valley caldera, California: 1. Modeling the geometry of the source using GPS, leveling and two-color EDM data, J. Volcan. Geotherm. Res., 127, 195-217.
3. Battaglia, M., Segall, P. & Roberts, C., 2003. The mechanics of unrest at Long Valley caldera, California: 2. Constraining the nature of the source using geodetic and micro-gravity data, J. Volcan. Geotherm. Res., 127, 219-245.
4. Birch, F., 1961. The velocity of compressional waves in rocks to 10 kilobars, (Part II), J. Geophys. Res., 66, 2199-2224.
5. Bonaccorso, A., Calvari, S., Coltelli, M., Del Negro, C. & Falsaperla, S., 2004. Mt. Etna: Volcano Laboratory, American Geophysical Union, Geophysical Monograph, 143, pp. 369.
6. Bonaccorso, A., Cianetti, S., Giunchi, C., Trasatti, E., Bonafede, M. & Boschi, E., 2005. Analytical and 3D numerical modeling of Mt. Etna (Italy) volcano inflation, Geophys. J. Int., 163, 852-862.
7. Bonafede, M., Parenti, B. & Rivalta, E., 2002. On strike slip faulting in layered media, Geophys. J. Int., 149, 698-723.
8. Bonafede, M. & Mazzanti, M., 1998. Modelling gravity variations consistent with ground deformation in the Campi Flegrei Caldera (Italy), J. Volcan. Geotherm. Res., 81, 137-157.
9. Brocher, T. M., 2005. empirical relations between elastic wavespeeds and density in the earth's crust, Bull. Seism. Soc. Am., 95, 2071-2092.
10. Budetta, G., Carbone, D. & Greco, F., 1999. Subsurface mass redistributions at Mount Etna (Italy) during the 1995-1996 explosive activity detected by microgravity studies, Geophys. J. Int., 138, 77-88.
11. Cai, Y. & Wang, C. Y., 2005. Fast finite-element calculation of gravity anomaly in complex geological regions, Geophys. J. Int., 162, 696-708
12. Carbone, D., Budetta, G. & Greco, F., 2003. Bulk processes some months before the start of the 2001 Mt Etna eruption, evidenced throught microgravity studies. J. Geoph. Res., 108 (B12), 2556, doi: 10.1029/2003JB002542.
13. Carbone, D., Currenti, G. & Del Negro, C., 2006. Elastic model for the gravity and elevation changes prior to the 2001 eruption of Etna volcano, Bull. Volcanol. in press.
14. Cayol, V. & Cornet, F. H., 1998. Effects of topography on the interpretation of the deformation field of prominent volcanoes-Application to Etna, Geophys. Res. Lett., 25 (11), 11979-11982.
15. Charco, M., Fernandez, J., Tiampo, K., Battaglia, M., Kellogg, L., Mcclain, J. & Rundle, J. B., 2004. Study of volcanic sources at Long Valley Caldera, California, using gravity data and a Genetic Algorithm inversion technique, Pure Appl. Geophys., 161, 1399-1413. doi: 10.1007/s00024-004-2511-8.
16. Charco, M., Fernandez, J., Luzón, F. & Rundle, J. B., 2006. On the relative importance of self-gravitation and elasticity in modeling volcanic ground deformation and gravity changes, J. Geophys. Res., 111, B03404, doi: doi: 10.1029/2005JB003754.
17. Chiarabba, C., Amato, A., Boschi, E. & Barberi, F., 2000. Recent seismicity and tomographic modeling of the Mount Etna plumbing system, J. Geoph. Res., 105 (B5), 10923-10938.
18. Christensen, N. I. & Mooney, W. D., 1995. Seismic velocity structure and composition of the continental crust: A global overview, J. Geoph. Res., 100 (B2), 24473-24486.
19. Corsaro, R. & Pompilio, M., 2003. Buoyancy-controlled eruption of magmas at Mt Etna, TerraNova, 16, 16-22.
20. Fernández, J., Carrasco, J. M., Rundle, J. B. & Arana, V., 1999. Geodetic methods for detecting volcanic unrest: A theoretical approach, Bull. Volcanol., 60, 534-544.
21. Fernández, J., Rundle, J. B., Granell, R. D. R. & Yu, T. T., 1997. Programs to compute deformation due to a magma intrusion in elastic-gravitational layered Earth models, Comput. Geosci., 23, 231-249.
22. Gardener, G. H. F., Gardner, L. W. & Gregory, A. M., 1974. Formation velocity and density - the diagnostic basics for stratigraphic traps, Geophysics, 39 (6), 770-780.
23. Gottsmann, J., Rymer, H. & Berrino, G., 2006. Unrest at the Campi Flegrei caldera (Italy):' A critical evaluation of source parameters from geodetic data inversion, J. Volcan. Geotherm. Res., 150, 132-145.
24. Hagiwara, Y., 1977. The Mogi model as a possible cause of the crustal uplift in the eastern part of Izu Peninsula and related gravity change, Bull. Earthq. Res. Inst., Univ. Tokyo, 52, 301-309.
25. Jousset, P., Mori, H. & Okada, H., 2003. Elastic models for the magma intrusion associated with the 2000 eruption of Usu Volcano, Hokkaido, Japan, J. Volcan. Geotherm. Res., 2607, 1-26.
26. Lundgren, P., Berardino, P., Coltelli, M., Fornaro, G., Lanari, R., Puglisi, G., Sansosti, E. & Tesauro, M. 2003. Coupled magma chamber inflation and sector collapse slip observed with synthetic aperture radar interferometry on Mt. Etna volcano, J. Geophys. Res., 108 (B5), 2247, doi:10.1029/2001JB000657.
27. Mogi, K., 1958. Relations between the eruptions of various volcanos and the deformations of the ground surfaces around them, Bull. Earthq. Res. Inst., Univ. Tokyo, 36, 99-134.
28. Murase, M., Irwan, M., Kariya, S., Tabei, T., Okuda, T., Miyajima, R., Oikawa, J., Watanabe, H. et al., 2006. Time dependent model of magma intrusion in and around Miyake and Kozu Islands, Central Japan in June-August, 2000, Volcanol. Geotherm. Res., 150, 213-231.
29. Obrizzo, F., Pingue, F., Troise, C. & De Natale, G., 2004. Bayesian inversion of 1994-98 vertical displacements at Mt. Etna; evidence for magma intrusion, Geophys. J. Int., 157 (2), 935-946, doi:10.1111/j.1365-246X.2004.02160.x.
30. Okubo, S., 1992. Gravity and potential changes due to shear and tensile faults in a half-space, J. Geoph. Res., 97 (B5), 7137-7144.
31. Okubo, S. & Watanabe, H., 1989. Gravity change caused by a fissure eruption, Geophys. Res. Lett., 16, 445-448.
32. Rundle, J. B., 1980. Static elastic-gravitational deformation of a layered half space by point couple sources, J. Geoph. Res., 85, 5355-5363.
33. Rymer, H., 1994. Microgravity changes as a precursor to volcanic activity, J. Volcanol. Geotherm. Res., 61, 311-328.
34. Sasai, Y., 1986. Multiple tension-crack model for dilatancy: Surface displacement, gravity and magnetic change, Bull. Earthq. Res. Inst., Univ. Tokyo, 61, 429-473.
35. Tiampo, K. F., Fernandez, J., Jentzsch, G., Charco, M. & Rundle, J. B., 2004. New results at Mayon, Philippines, from a joint inversion of gravity and deformation measurements, Pure Appl. Geophys., 161, 1433-1452.
36. Trasatti, E., Giunchi, C. & Bonafede, M., 2003. Effects of elastic and rheological layering on ground deformation in volcanic regions, J. Volcan. Geotherm. Res., 122, 89-110.
37. Voight, B., Hoblitt, R., Clarke, A., Lockhart, A., Miller, A., Lynch, L. & McMahon, J., 1998. Remarkable cyclic ground defomation monitored in real-time on Montserrat, and its use in eruption forcastin, Geophys. Res. Lett., 24, 3405-3408.
38. Walsh, J. B. & Rice, J. R., 1979. Local changes in gravity resulting from deformation, J. Geoph. Res., 84, 165-170.
39. Wang, R., Martin, F. L. & Roth, F., 2003. Computation of deformation induced by earthquakes in a multi-layered elastic crust-FORTRAN programs EDGRN/;EDCMP, Comput. Geosci., 29, 195-207.
40. Williams C. A. & Wadge, G., 1998. The effects of topography on magma chamber deformation models: Application to Mt. Etna and radar interferometry, Geophys. Res. Lett., 25, 1549-1552.
41. Williams, C. A. & Wadge, G., 2000. An accurate and efficient method for including the effects of topography in three-dimensional elastic models of ground deformation with applications to radar interferometry, J. Geophys. Res., 105 (B4), doi: 10.1029/1999JB900307. issn: 0148-0227.
42. Zhang, J., Wang, C. Y., Shi, Y., Cai, Y., Chi, W. C., Dreger, D., Cheng, W. B. & Yuan, Y. H., 2004. Three-dimensional crustal structure in central Taiwan from gravity inversion with a parallel genetic algorithm, Geophysics, 69, 4917-924.
43. Zhao, S., Muller, R. D., Takahashi, Y. & Kaneda, Y., 2004. 3-D finite-element modelling of deformation and stress associated with faulting: Effect of inhomogeneous crustal structures, Geophys. J. Int., 157, 629-644.