SEISMIC-WAVE PROPAGATION IN A VISCOELASTIC POROUS SOLID SATURATED BY VISCOUS-LIQUID

被引:37
作者
SHARMA, MD
GOGNA, ML
机构
[1] Department of Mathematics, Kurukshetra University, Kurukshetra
关键词
VISCOELASTIC POROUS SOLID; DISSIPATIVE; FREQUENCY; REFLECTION COEFFICIENTS; ATTENUATION; SATURATED; VISCOUS; POISEUILLE;
D O I
10.1007/BF00879471
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
A general solution is deduced of the differential equations describing the propagation of elastic waves in a dissipative liquid-filled viscoelastic porous solid. The velocities of three existing waves have been expressed in convenient form using the moduli of the solid phase and by introducing the frequency-dependent equivalent mass densities. The solution is then used to examine some of the phenomena which arise when each of the three-body waves, in turn, are incident on a traction-free plane boundary. Analytic expressions for the reflection coefficients are obtained. Numerical calculations have been made, for a particular model, in case of incident P1 wave. Effect of viscoelasticity and viscosity on the reflection coefficients has also been exhibited.
引用
收藏
页码:383 / 400
页数:18
相关论文
共 11 条
[1]  
Biot M.A., General Solutions of the Equation of Elasticity and Consolidation for a Porous Material, J. Appl. Mech., 23, pp. 91-95, (1956)
[2]  
Biot M.A., The Theory of Propagation of Elastic Waves in Fluid-saturated Porous Solids, The Journal of the Acoustical Society of America, 28, pp. 168-191, (1956)
[3]  
Biot M.A., Mechanics of Deformation and Acoustic Propagation in Porous Media, J. Appl. Phys., 33, pp. 1482-1498, (1962)
[4]  
Borcherdt R.D., Reflection-refraction of General P and Type-I S Waves in Elastic and Anelastic Solids, Geophys. J. R. Astr. Soc., 70, pp. 621-638, (1982)
[5]  
Deresiewicz H., The Effect of Boundaries on Wave Propagation in a Liquid-filled Porous Solid: I. Reflection of Plane Waves at Free Plane Boundary (Non-dissipative Case), Bull. Seismol. Soc. Am., 50, pp. 599-607, (1960)
[6]  
Deresiewicz H., Rice J.T., The Effect of Boundaries on Wave Propagation in a Liquid-filled Porous Solid: III. Reflection of Plane Waves at a Free Plane Boundary (General Case), Bull. Seismol. Soc. Am., 52, pp. 595-625, (1962)
[7]  
Fatt I., The Biot-Willis Elastic Coefficients for Sandstone, J. Appl. Mech., 26, pp. 296-297, (1959)
[8]  
Murphy W.F., Effects of Partial Water Saturation in Massilon-sandstone and Vycor Porous Glass, J. Acoust. Soc. Am., 71, pp. 1458-1468, (1982)
[9]  
Silva W., Body Waves in Layered Anelastic Solid, Bull. Seismol Soc. Am., 66, pp. 1539-1554, (1976)
[10]  
Yew C.H., Jogi P.N., Study of Wave Motions in Fluid-saturated Porous Rocks, J. Acoust. Soc. Am., 60, pp. 2-8, (1976)