SEISMIC RESPONSE TO A PRESCRIBED SEISMOGRAM OF A BODY EMBEDDED IN A MULTILAYERED HALF-SPACE

While the actual problem is composed of an active fault surface, a soi l site and a body embedded at that site; the proposed method provides an alternative smaller linear problem by replacing the propagating rup ture on the fault surface by a fictitious focal point and a seismograp h station in the vicinity of the given soil site. The Green's function for each of three fundamental problems of isotropic elastic and visco elastic spaces undergoing harmonic vibration is derived. Infinite elem ents are adopted in the far field, and finite elements in the near fie ld. The three fundamental problem solutions are used as the shape func tions of infinite element nodal lines. The three concentrated orthogon al force components at the focal point are determined in such a way th at the Fourier transforms of the three orthogonal acceleration compone nts measured at a seismograph station are checked. For seismic analysi s of a finite embedded body, consider the differential between the act ual system and the seismic free field, which is the embedding half spa ce without any embedment and being excited by the fictitious focal poi nt forces. All along the analysis has been carried out in the frequenc y domain. An appropriate inverse Fourier transform algorithm will prop erly yield all results as time functions.