Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces

被引:89
作者
Edelman, I
Wilmanski, K
机构
[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
[2] Russian Acad Sci, United Inst Phys Earth, Moscow 123810, Russia
关键词
porous media; surface waves; asymptotics;
D O I
10.1007/s001610100069
中图分类号
O414.1 [热力学];
学科分类号
摘要
Surface waves at a free interface of a saturated porous medium and at an interface between, liquid are investigated. Existence and peculiarities of such surface a porous medium and a waves are revealed. At a free interface two types of surface waves are proved to be possible: the true Stoneley wave, propagating almost without attenuation, and the leaky generalized Rayleigh wave, which reradiates a part of its energy into the interior of a medium. At a porous medium/liquid interface three types of surface waves are expected. These are the true Stoneley wave, the pseudo Stoneley wave, and the generalized Rayleigh wave.
引用
收藏
页码:25 / 44
页数:20
相关论文
共 37 条
[1]  
Achenbach J., 1973, WAVE PROPAGATION ELA
[2]  
[Anonymous], ARCH MECH PL
[3]  
BERRYMAN JG, 1992, WAVE PROPAGATION AND INVERSION, P1
[4]  
BREKHOVSKIH LM, 1990, ACOUSTICS LAYERED ME, V1
[5]   Derivation of matching conditions at the contact surface between fluid-saturated porous solid and bulk fluid [J].
Cieszko, M ;
Kubik, J .
TRANSPORT IN POROUS MEDIA, 1999, 34 (1-3) :319-336
[6]  
Deresiewicz H., 1962, B SEISMOL SOC AM, V52, P627, DOI 10.1785/BSSA0520030627
[7]  
Deresiewicz H., 1963, Bull Seismol Soc Am, V53, P783, DOI DOI 10.1785/BSSA0530040783
[8]  
EDELMAN I, 1999, 531 WIAS
[9]  
EDELMAN I, 1999, 513 WIAS
[10]  
EDELMAN I, 2000, 568 WIAS