A Discrete Wavenumber Boundary Element Method for study of the 3-D response 2-D scatterers

✍ Scribed by Papageorgiou, Apostolos S.; Pei, Duoli

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 395 KB
• Volume: 27
• Category: Article
• ISSN: 0098-8847
• DOI: 10.1002/(sici)1096-9845(199806)27:6<619::aid-eqe746>3.0.co;2-i

✦ Synopsis

A mathematical formulation of the 2•5D elastodynamic scattering problem is presented and validated. The formulation is a straightforward extension of the Discrete Wave number Boundary Integral Equation Method (DWBIEM) originally proposed by Kawase 1 for 2D scattering problems and subsequently extended to the 3D problem by Kim and Papageorgiou. It is demonstrated that the Green's function which is appropriate for a boundary formulation of the 2•5D elastodynamic scattering problem is the one corresponding to a unit force moving on a straight line with constant velocity. Such a Green's function is derived in the present study. The formulation may be used to study the waveÿelds in models of sedimentary deposits (e.g. valleys) or topography (e.g. canyons or ridges) with a 2D variation in structure but obliquely incident plane waves. The advantage of a 2•5D formulation is that it provides the means for calculations of 3D waveÿelds in scattering problems by requiring a storage comparable to that of the corresponding 2D calculations.