The Wave Field of a Point Source that Acts on an Impermeable Stress-Free Boundary of a Biot Half-Plane
- Authors: Zavorokhin G.L.1
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Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 226, No 6 (2017)
- Pages: 727-733
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240057
- DOI: https://doi.org/10.1007/s10958-017-3562-6
- ID: 240057
Cite item
Abstract
The initial boundary value problem of wave propagation in a half-plane filled with a fluid-saturated porous Biot medium is considered. The medium is assumed to be isotropic homogeneous and the pores are closed on the boundary. Using the techniques of complex analysis, explicit formulas for the displacements in the elastic and fluid phases are obtained. Bibliography: 11 titles.
About the authors
G. L. Zavorokhin
St. Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: zavorokhin@pdmi.ras.ru
Russian Federation, St. Petersburg