Abstract
A 2D elastodynamic boundary element method (BEM) is used to solve multiple scattering of elastic waves. The method is based on the integral representation of an elastic wave-field by assuming a fictitious source distribution on the scattering objects or inclusions, i.e. a mathematical description of Huygens’ principle, and the fictitious source distribution can be found by matching appropriate boundary conditions at the boundary of the inclusions. Numerical studies show that in the presence of cracks, spatial and scale-length distributions are important and different spatial arrangements of the same scatters lead to profound differences in scattering characteristics, in particular the frequency contents of the transmitted wave-fields. The frequency characteristics, such as the frequency of peak attenuation, can be related to spatial size parameters of the model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hudson, J. A., Heritage, J. R., The use of the Born approximation in seismic scattering problems, Geophys. J. R. Astr. Soc., 1981, 66: 221.
Pao, Y. H., Varatharajulu, V., Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves, J. Acoust. Soc. Am., 1976, 59: 1361.
Wu, R.-S., Attenuation of short period seismic waves due to scattering, Geophys. Res. Lett., 1982, 9: 9.
Crampin, S., The fracture criticality of crustal rock, Geophys. J. Int., 1994, 118: 428.
Hudson, J. A., Wave speeds and attenuation of elastic waves in material containing cracks, Geophys, J. R. Astr. Soc., 1981, 64: 133.
Liu, E., Pointer, T., Hudson, J. A. et al., Boundary element modeling of multiple scattering of seismic waves by distributed inclusions, Expanded Abstracts, 68th Ann. Int. SEG Meeting, New Orleans, 1998, 1933–1936.
Bouchon, M., Diffraction of elastic waves by cracks or cavities using the discrete wavenumber method, J. Acoust. Soc. Am., 1987, 81: 1671.
Coutant, O., Numerical study of the diffraction of elastic waves by fluid-filled cracks, J. Geophys. Res., 1989, 94: 17805.
Liu, E., Crampin, S., Hudson, J. A., Diffraction of seismic waves by cracks with application to hydraulic fracturing, Geophysics, 1997, 62: 253.
Pointer, T., Liu, E., Hudson, J. A., Numerical modelling of seismic waves scattered by hydrofractures: application of the indirect boundary element method, Geophys. J. Int., 1998, 135: 289.
Ikelle, K. T., Yung, S. K., Daube, F., 2D random media with ellipsoid correlation function, Geophysics, 1993, 58: 1359.
Zhang, Z. J., He, Q. D., Teng, J. et al., Simulation of 3-component seismic records in 2-dimensional transversely isotropic medium with finite difference method, Can. J. Expl. Geophys., 1993, 29: 51.
Banerjee, P. K., Butterfield, R., Boundary Element Methods in Engineering Science, London: McGraw-Hill, 1981.
Benites, R., Aki, K., Yomogida, K., Multiple scattering of SH-waves in 2D media with many cavities, Purve & App. Geophys, 1992, 138: 353.
Mal, A. K., Interaction of elastic waves with a penny-shaped crack, Int. J. Eng. Sci., 1970, 8: 381.
Leary, P. C., Rock as a critical-point system and the inherent implausibility of reliable earthquake prediction, Geophys. J. Int., 1997, 131: 451.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liu, E., Queen, J.H., Zhang, Z. et al. Simulation of multiple scattering of seismic waves by spatially distributed inclusions. Sci. China Ser. E-Technol. Sci. 43, 387–394 (2000). https://doi.org/10.1007/BF02916986
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02916986