scholarly journals Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. II. Higher Frequency Range

1956 ◽  
Vol 28 (2) ◽  
pp. 179-191 ◽  
Author(s):  
M. A. Biot
Keyword(s):  
Elastic Waves ◽  
Porous Solid ◽  
Frequency Range ◽  
Propagation Of Elastic Waves

An identification problem related to the Biot system

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
Viatcheslav I. Priimenko ◽  
Mikhail P. Vishnevskii
Keyword(s):  
Elastic Waves ◽  
Existence And Uniqueness ◽  
Direct Problem ◽  
Low Frequency ◽  
Identification Problem ◽  
Scalar Function ◽  
Uniqueness Result ◽  
Frequency Range ◽  
Biot Equations ◽  
Propagation Of Elastic Waves

Abstract.In this paper, we study the propagation of elastic waves in porous media governed by the Biot equations in the low frequency range. We prove the existence and uniqueness result both for the direct problem and the inverse one, which consists in identifying the unknown scalar function

The effect of boundaries on wave propagation in a liquid-filled porous solid

1960 ◽  
Vol 50 (4) ◽  
pp. 599-607
Author(s):  
H. Deresiewicz
Keyword(s):  
Wave Propagation ◽  
Free Boundary ◽  
General Solution ◽  
Elastic Waves ◽  
Body Waves ◽  
Porous Solid ◽  
Field Equations ◽  
Reflected Waves ◽  
Three Body ◽  
Propagation Of Elastic Waves

ABSTRACT A general solution is deduced of the differential equations which describe the propagation of elastic waves in a nondissipative liquid-filled porous solid. The solution is then used to examine some of the phenomena which arise when each of the three body waves predicted by the field equations is, in turn, incident on a plane traction-free boundary. It is found, for example, that an obliquely incident wave of each type in general gives rise to reflected waves of all three types.

scholarly journals Propagation of Elastic Waves in Prestressed Media

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Inder Singh ◽  
Dinesh Kumar Madan ◽  
Manish Gupta
Keyword(s):  
Elastic Waves ◽  
Plane Waves ◽  
Dynamical Equations ◽  
P Waves ◽  
General Solutions ◽  
External Forces ◽  
Propagation Of Elastic Waves

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.

Parametrization of the Propagation of Elastic Waves in a Medium with Ensembles of Disc-Shaped Inclusions

2018 ◽  
Vol 54 (1) ◽  
pp. 130-137 ◽  
Author(s):  
V. V. Mykhas’kiv ◽  
Ya. І. Kunets’ ◽  
V. V. Маtus ◽  
О. V. Burchak ◽  
О. К. Balalaev
Keyword(s):  
Elastic Waves ◽  
Propagation Of Elastic Waves
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