SURFACE-WAVE PROPAGATION IN A TRANSVERSELY ISOTROPIC ELASTIC LAYER OVERLYING A LIQUID SATURATED POROUS SOLID HALF-SPACE AND LYING UNDER THE UNIFORM LAYER OF LIQUID

被引:23
作者
SHARMA, MD
KUMAR, R
GOGNA, ML
机构
[1] Department of Mathematics, Kurukshetra University, Kurukshetra, 132 119, Haryana
关键词
dispersion; frequency equation; liquid saturated porous solid; nondissipative porous media; phase velocity; Rayleigh type waves; Surface waves; transversely isotropic;
D O I
10.1007/BF00878003
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
Dispersion of Rayleigh-type surface wave is studied in a homogeneous transversely isotropic elastic layer overlying a nondissipative liquid-saturated porous solid half-space and lying under a uniform layer of homogeneous liquid. The frequency equation in the form of ninth-order determinant is obtained. Special cases have been deduced by reducing the depth of the layers to zero and by changing the transverse isotropic layer to an isotropic layer. Dispersion curves for the phase velocity have been plotted for a particular model. © 1990 Birkhäuser Verlag.
引用
收藏
页码:523 / 539
页数:17
相关论文
共 23 条
[1]  
Abubakar I., Hudson J.A., Dispersive Properties of Liquid Overlying an Aelotropic Half-space, Geophysical Journal International, 5, pp. 217-229, (1961)
[2]  
Biot M.A., The Interaction of Rayleigh and Stoneley Waves with the Ocean Bottom, Bull. Seismol. Soc. Am., 42, pp. 81-93, (1952)
[3]  
Biot M.A., General Solutions of the Equations of Elasticity and Consolidations for a Porous Material, J. Appl. Mech., 23, pp. 91-95, (1956)
[4]  
Biot M.A., Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid, The Journal of the Acoustical Society of America, 28, pp. 168-191, (1956)
[5]  
Biot M.A., Mechanics of Deformation and Acoustic Propagation in Porous Media, J. Appl. Phys., 33, pp. 1482-1498, (1962)
[6]  
Biot M.A., Generalized Theory of Acoustic Propagation in Porous Dissipative Media, The Journal of the Acoustical Society of America, 34, pp. 1254-1264, (1962)
[7]  
Deresiewicz H., The Effect of Boundaries on Wave Propagation in a Liquid-filled Porous Solid: I. Reflection of Plane Waves at a Free Plane Boundary (Nondissipative Case), Bull. Seismol. Soc. Am., 50, pp. 599-607, (1960)
[8]  
Deresiewicz H., The Effect of Boundaries on Wave Propagation in a Liquid-filled Porous Solid: II. Love Waves in a Porous Layer, Bull. Seismol. Soc. Am., 51, pp. 51-59, (1961)
[9]  
Deresiewicz H., The Effect of Boundaries on Wave Propagation in a Liquid-filled Porous Solid: VI. Love Waves in a Double Surface Layer, Bull. Seismol. Soc. Am., 54, pp. 417-423, (1964)
[10]  
Deresiewicz H., The Effect of Boundaries on Wave Propagation in a Liquid-filled Porous Solid: VII. Surface Waves in a Half-space in the Presence of a Liquid Layer, Bull. Seismol. Soc. Am., 54, pp. 425-430, (1964)