HR: 1340h
AN: S23B-0324    [Abstracts]
TI: Modelling Elastic Media With Arbitrary Shapes Using the Wavelet Transform
AU: * Rosa, J W
EM: jwilly@unb.br
AF: Universidade de Bras¡lia, Instituto de Geociˆncias Universidade de Bras¡lia, Bras¡lia, DF 70910-900 Brazil
AU: Cardoso, F A
AF: Universidade Estadual de Campinas, Cidade Universit ria Distrito de Barao Geraldo, Campinas, SP 13084-971 Brazil
AU: Rosa, J W
AF: Universidade de Bras¡lia, Instituto de Geociˆncias Universidade de Bras¡lia, Bras¡lia, DF 70910-900 Brazil
AU: Aki, K
AF: Institut de Physique du Globe de Paris, 14 Route Nationale 3, 27Šme km La Plaine des Cafres, Isle de la Reunion, 97418
AB: We extend the new method proposed by Rosa et al. (2001) for the study of elastic bodies with complete arbitrary shapes. The method was originally developed for modelling 2-D elastic media with the application of the wavelet transform, and was extended to cases where discontinuities simulated geologic faults between two different elastic media. In addition to extending the method for the study of bodies with complete arbitrary shapes, we also test new transforms with the objective of making the related matrices more compact, which are also applied to the most general case of the method. The basic method consists of the discretization of the polynomial expansion for the boundary conditions of the 2-D problem involving the stress and strain relations for the media. This parameterization leads to a system of linear equations that should be solved for the determination of the expansion coefficients, which are the model parameters, and their determination leads to the solution of the problem. Despite the fact that the media we studied originally were 2-D bodies, the result of the application of this new method can be viewed as an approximate solution to some specific 3-D problems. Among the motivations for developing this method are possible geological applications (that is, the study of tectonic plates and geologic faults) and simulations of the elastic behaviour of materials in several other fields of science. The wavelet transform is applied with two main objectives, namely to decrease the error related to the truncation of the polynomial expansion and to make the system of linear equations more compact for computation. Having validated this method for the original 2-D elastic media, we plan that this extension to elastic bodies with complete arbitrary shapes will enable it to be even more attractive for modelling real media. Reference Rosa, J. W. C., F. A. C. M. Cardoso, K. Aki, H. S. Malvar, F. A. V. Artola, and J. W. C. Rosa, Modelling elastic media with the wavelet transform, Geophys. J. Int., 146, pp. 454-488, 2001.
DE: 7260 Theory and modeling
DE: 7200 SEISMOLOGY
DE: 7203 Body wave propagation
DE: 7209 Earthquake dynamics and mechanics
SC: Seismology [S]
MN: 2004 AGU Fall Meeting