Title

Reflection and transmission of plane waves between two different fluid saturated porous half spaces

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2011

Volume

59

Issue

No 2

Authors

Kumar, R. ; Miglani, A. ; S. Kumar

Divisions of PAS

Nauki Techniczne

Coverage

227-234

Date

2011

Identifier

DOI: 10.2478/v10175-011-0028-8 ; ISSN 2300-1917

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2011; 59; No 2; 227-234

References

K. Von Terzaghi (1923), Die Berechnug der Durchlassigkeit des Tones aus dem Verlauf der hydromechanischen Spannungserscheinungen, Math. - Naturwiss, 132, 125. ; K. Von Terzaghi (1925), Erdbaumechanik auf Bodenphysikalischer Grundlage. ; Biot M. (1941), General theory of three dimensional consolidation, J. Appl. Phys, 12, 2, 155, doi.org/10.1063/1.1712886 ; Biot M. (1956), Theory of propagation of elastic waves in a fluid-saturated porous solid - 1. low frequency range, J. Acoust. Soc. Am, A 28, 168, doi.org/10.1121/1.1908239 ; Biot M. (1956), Theory of propagation of elastic waves in a fluid-saturated porous solid - 2. higher frequency range, J. Acoust. Soc. Am, B 28, 179, doi.org/10.1121/1.1908241 ; Fillunger P. (1913), Der Auftrieb in Talsperren. Osterr. Wochenschrift fur den offent!. Baudienst. ; Bowen R. (1980), Incompressible porous media models by use of the theory of mixtures, J. Int. J. Engg. Sci, 18, 1129, doi.org/10.1016/0020-7225(80)90114-7 ; R. de Boer (1990), The development of the concept of effective stress, Acta Mechanica, A 83, 77, doi.org/10.1007/BF01174734 ; R. de Boer (1990), Uplift, friction and capillarity-three fundamental effects for liquid-saturated porous solids, Int. 1. Solid Structures, B 26, 43, doi.org/10.1016/0020-7683(90)90093-B ; R. de Boer (1993), One dimensional transient wave propagation in fluid saturated incompressible porous media, Arch. App. Mech, 63, 59, doi.org/10.1007/BF00787910 ; Kumar R. (2002), A study of spherical and cylindrical wave propagation in a non-homogenous fluid saturated incompressible porous medium by the method of characteristics, Currents Trends in Industrial and Applied Mathematics, 1, 181. ; Kumar R. (2003), Wave propagation in a fluid saturated incompressible porous medium, Indian J. Pure And Applied Math, 4, 51. ; Kumar R. (2003), One dimensional wave propagation in a non homogenous fluid saturated incompressible porous medium, Bull. Allahabad Math Soc, 18, 1. ; Kumar R. (2004), Effect of non homogeneity on one - dimensional wave propagation in a fluid saturated incompressible porous medium, Bull. Cal. Math Soc, 96, 3, 179. ; Kumar R. (2004), Symmetric wave propagation in a fluid saturated incompressible porous medium, J. Sound and Vibration, 96, 3, 179. ; Deresiewicz H. (1960), Reflection of plane waves at free plane boundary, Bull. Seismol. Soc. Am, 50, 599. ; P. Malla Reddy (2000), Exact analysis of plainstrain vibrations of thick-walled hollow poroelastic cylinders, Int. J. Solid Struct, 37, 3439, doi.org/10.1016/S0020-7683(99)00049-9 ; Kumar R. (2000), Wave propagation in micro-polar liquid-saturated porous solid, Indian J. Pure Appl. Math, 31, 10, 1317. ; Tomar S. (2005), Transmission of longitudinal waves through a plane interface between two dissimilar porous elastic solid half spaces, Appl. Mathematics and Computation, 169, 671, doi.org/10.1016/j.amc.2004.09.060 ; Tomar S. (2006), Reflection and transmission of elastic waves at an elastic/porous solid saturated by two immiscible fluids, Int. J. Solid and Structures, 43, 1991, doi.org/10.1016/j.ijsolstr.2005.05.056 ; Tajuddin M. (2006), Reflection of plane waves at boundaries of a liquid filled poroelastic half-space, J. Applied Geophysics, 58, 59, doi.org/10.1016/j.jappgeo.2005.04.003