Root-finding absorbing boundary condition for poroelastic wave propagation in infinite media

作者: Jin Ho Lee

DOI: 10.1016/J.SOILDYN.2019.105933

关键词:

摘要: Abstract In this study, a root-finding absorbing boundary condition (RFABC) for wave-propagation problems in infinite poroelastic media is developed. order to express the terms of local temporal operators time domain, with permeability are assumed and dynamic motions described using four scalar potentials two dilatational rotational waves. The can be expressed three independent non-dispersive P1, P2, S existing approach an RFABC waves then applied each wave component desired derived. accuracy stability developed verified at continuous level. Its discretized version formulated finite-element discrete level proved. proposed numerical waveguide. It demonstrated that produce accurate stable results finite as well permeability.

参考文章(29)
Olgierd Cecil Zienkiewicz, AHC Chan, M Pastor, BA Schrefler, T Shiomi, None, Computational Geomechanics with Special Reference to Earthquake Engineering ,(1999)
Daniel Baffet, Jacobo Bielak, Dan Givoli, Thomas Hagstrom, Daniel Rabinovich, Long-time stable high-order absorbing boundary conditions for elastodynamics Computer Methods in Applied Mechanics and Engineering. ,vol. 241, pp. 20- 37 ,(2012) , 10.1016/J.CMA.2012.05.007
Hormoz Modaressi, Ikhlef Benzenati, Paraxial approximation for poroelastic media Soil Dynamics and Earthquake Engineering. ,vol. 13, pp. 117- 129 ,(1994) , 10.1016/0267-7261(94)90004-3
Yan Qing Zeng, Qing Huo Liu, A staggered-grid finite-difference method with perfectly matched layers for poroelastic wave equations Journal of the Acoustical Society of America. ,vol. 109, pp. 2571- 2580 ,(2001) , 10.1121/1.1369783
Robert L. Higdon, Radiation boundary conditions for elastic wave propagation SIAM Journal on Numerical Analysis. ,vol. 27, pp. 831- 869 ,(1990) , 10.1137/0727049
T. Akiyoshi, X. Sun, K. Fuchida, General absorbing boundary conditions for dynamic analysis of fluid-saturated porous media Soil Dynamics and Earthquake Engineering. ,vol. 17, pp. 397- 406 ,(1998) , 10.1016/S0267-7261(98)00026-8
M. A. Biot, Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range The Journal of the Acoustical Society of America. ,vol. 28, pp. 168- 178 ,(1956) , 10.1121/1.1908239
A. GAJO, A. SAETTA, R. VITALIANI, Silent boundary conditions for wave propagation in saturated porous media International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 20, pp. 253- 273 ,(1996) , 10.1002/(SICI)1096-9853(199604)20:4<253::AID-NAG820>3.0.CO;2-N
Robert L. Higdon, Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation Mathematics of Computation. ,vol. 47, pp. 437- 459 ,(1986) , 10.2307/2008166