Transient analysis of wave propagation problems by half-plane BEM

• Published in: Geophysical journal international Vol. 194; no. 3; pp. 1849 - 1865
• Main Authors: Panji, M., Kamalian, M., Marnani, J. Asgari, Jafari, M. K.
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01-09-2013
• Subjects: Wave scattering and diffraction; Site effects; Wave propagation; Computational seismology
• ISSN: 0956-540X; 1365-246X
• DOI: 10.1093/gji/ggt200

In this paper, a half-plane time-domain boundary element method (BEM) was presented for analysing the 2-D scalar wave problems in a homogenous isotropic linear elastic medium. Using the existing transient full-plane fundamental solution and asking for the assistance of method of source image to satisfy the stress-free boundary conditions, first, a half-plane time-domain fundamental solution was obtained for displacement and traction fields. Then, the condensed closed-form of half-plane time-convoluted kernels were extracted analytically by applying the time-convolution integral on the determined half-plane fundamental solutions. After implementing the half-plane time-domain BEM in computer codes, its applicability and efficiency were verified and compared with those of the published works by analysing several practical examples. The studies showed that the proposed method had good agreement with the existing solutions. Compared to the full-plane time-domain BEM, half-plane time-domain BEM had more capability and better accuracy as well as much shorter run time. It is obvious that this method can be practically used to analyse the site response in substituting the old-style time-domain BEM formulation as well.