Print Email Facebook Twitter Scattering of harmonic P1 and SV waves by a shallow lined circular tunnel in a poroelastic half-plane Title Scattering of harmonic P1 and SV waves by a shallow lined circular tunnel in a poroelastic half-plane Author Liu, Qijian (Hunan University) Yue, Cheng (Hunan University) Zhao, M. (TU Delft Dynamics of Structures) Date 2022 Abstract An analytical solution for the scattering of harmonic P1 and SV waves in a poroelastic half-plane with a shallow lined tunnel is obtained using the plane complex theory in elastodynamics. In light of the wave function expansions, the wave fields of the poroelastic medium and the liner with unknown coefficients are obtained based on Biot's theory and Helmholtz decomposition. Complex-valued expressions of the effective stresses, the fluid stress, and the displacements of the poroelastic medium and the liner are expressed by the complex variable function method and the conformal transformation technique. With the boundary conditions and the continuity of the medium-liner interface, the boundary value problem results in a series of algebraic equations. The unknown coefficients in the infinite set of algebraic equations can be solved numerically by truncating the series number. A parametric study for the incident SV waves is performed to investigate dynamic stress concentrations and fluid stress of the medium and the liner. Numerical results show that the embedment depth of the tunnel, the incident angle of the excitations, and the porosity of the medium have considerable influence on the dynamic responses of the medium and the liner. The shielding effect of the tunnel on the incident SV waves is obvious. For the big embedment depth of the tunnel, the scattered waves contribute little to the displacements and dynamic stress concentration of the medium and the liner. For a high porosity close to the critical value, the response of the medium-liner system to the incident waves is great. Subject Complex variable methodConformal mappingLined tunnelPoroelastic half-planeWave scattering To reference this document use: http://resolver.tudelft.nl/uuid:a6124a73-1f81-432b-a28b-6babddeef7b9 DOI https://doi.org/10.1016/j.soildyn.2022.107306 Embargo date 2023-07-01 ISSN 0267-7261 Source Soil Dynamics and Earthquake Engineering, 158 Bibliographical note Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2022 Qijian Liu, Cheng Yue, M. Zhao Files PDF 1_s2.0_S0267726122001555_main.pdf 7.36 MB Close viewer /islandora/object/uuid:a6124a73-1f81-432b-a28b-6babddeef7b9/datastream/OBJ/view