A DR-BEM model for a half-space including the cavity under scalar surface pulse

Document Type : Original Article

Authors

1 Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Abstract

In this paper, a two-dimensional half-space model was presented in the presence of a subsurface circular cavity under a uniform surface scalar pulse. In this regard, a dual reciprocity boundary element method (DR-BEM) was successfully developed in which the discretizing process only was applied on the boundary of the model as well as in a few internal points. The simple formulation and step-by-step transient analysis in the absence of time-domain fundamental solutions were some of the characteristics of the used approach. First, by introducing the method and briefly presenting the formulation, a time-domain algorithm was prepared based on the mentioned approach, and then it was validated by comparing the existing analytical responses. Moreover, by modeling a half-space domain including a subsurface circular cavity, the transient displacement was obtained at different points of the ground surface and cavity wall subjected to the surface pulse of the Ricker wavelet type function. The results showed that the presence of the cavity was effective not only in changing the distribution pattern but also in the formation of safe areas behind the wavefront. The efficient approach is recommended to all researchers in the field of geotechnical earthquake engineering, especially in the analysis of surface explosions.

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