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Dynamic stiffness matrix of a poroelastic multi-layered site and its Greenís functions

Liang Jianwen (梁建文) and You Hongbing (尤红兵)

Department of Civil Engineering, Tianjin University, Tianjin 300072, China

Abstract: Few studies of wave propagation in layered saturated soils have been reported in the literature. In this paper, a general solution of the equation of wave motion in saturated soils, based on one kind of practical Biotís equation, was deduced by introducing wave potentials. Then exact dynamic-stiffness matrices for a poroelastic soil layer and half-space were derived, which extended Wolfís theory for an elastic layered site to the case of poroelasticity, thus resolving a fundamental problem in the field of wave propagation and soil-structure interaction in a poroelastic layered soil site. By using the integral transform method, Greenís functions of horizontal and vertical uniformly distributed loads in a poroelastic layered soil site were given. Finally, the theory was verified by numerical examples and dynamic responses by comparing three different soil sites. This study has the following advantages: all parameters in the dynamic-stiffness matrices have explicitly physical meanings and the thickness of the sub-layers does not affect the precision of the calculation which is very convenient for engineering applications. The present theory can degenerate into Wolfís theory and yields numerical results approaching those for an ideal elastic layered site when porosity tends to zero.

Keywords: Biotís equation; poroelastic layered site; dynamic-stiffness matrix; Greenís function

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Copyright© 2009 IEM. Journal of Earthquake Engineering and Engineering Vibration. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as described below, without written permission from the Publisher. Copying of articles is not permitted except for personal and internal use, to the extent permitted by national copyright law, or under the terms of a license issued by the National Reproduction Rights Organization of China.