## Journal of Applied Mathematics

- J. Appl. Math.
- Volume 2013 (2013), Article ID 469428, 9 pages.

### Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation

J. E. Basaldúa-Sánchez, D. Samayoa-Ochoa, J. E. Rodríguez-Sánchez, A. Rodríguez-Castellanos, and M. Carbajal-Romero

#### Abstract

In the present communication, scattering of elastic waves in fluid-layered solid interfaces is studied. The indirect boundary element method is used to deal with this wave propagation phenomenon in 2D fluid-layered solid models. The source is represented by Hankel’s function of second kind and this is always applied in the fluid. Our method is an approximate boundary integral technique which is based upon an integral representation for scattered elastic waves using single-layer boundary sources. This approach is typically called indirect because the sources’ strengths are calculated as an intermediate step. In addition, this formulation is regarded as a realization of Huygens’ principle. The results are presented in frequency and time domains. Various aspects related to the different wave types that emerge from this kind of problems are emphasized. A near interface pulse generates changes in the pressure field and can be registered by receivers located in the fluid. In order to show the accuracy of our method, we validated the results with those obtained by the discrete wave number applied to a fluid-solid interface joining two half-spaces, one fluid and the other an elastic solid.

#### Article information

**Source**

J. Appl. Math., Volume 2013 (2013), Article ID 469428, 9 pages.

**Dates**

First available in Project Euclid: 14 March 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.jam/1394808253

**Digital Object Identifier**

doi:10.1155/2013/469428

**Mathematical Reviews number (MathSciNet)**

MR3138951

**Zentralblatt MATH identifier**

06950691

#### Citation

Basaldúa-Sánchez, J. E.; Samayoa-Ochoa, D.; Rodríguez-Sánchez, J. E.; Rodríguez-Castellanos, A.; Carbajal-Romero, M. Diffraction of Elastic Waves in Fluid-Layered Solid Interfaces by an Integral Formulation. J. Appl. Math. 2013 (2013), Article ID 469428, 9 pages. doi:10.1155/2013/469428. https://projecteuclid.org/euclid.jam/1394808253