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Article
Propagation of normal waves in a porous rod with open pores on the boundaries
Propagation of normal waves in a porous cylindrical rod with open pores on the boundaries is investigated. For this medium, the dispersion equation is derived. For a low-frequency, this equation has one root, ...
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Article
Normal waves in a porous layer with open pores on one boundary and closed pores on the other
An isolated porous Biot layer with open pores on one boundary and closed pores on the other is considered. In this layer, normal waves are investigated and the dispersion curves are established for them. Parti...
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Article
Propagation of normal waves in a porous rod with closed pores on the boundaries
Propagation of normal waves in a porous cylindrical rod with closed pores on the boundaries is investigated. For this medium, a dispersion equation is derived. For a low frequency, this equation has two roots,...
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Article
On the Rayleigh wave on a curvilinear boundary between elastic and fluid media
Along the boundary between elastic and fluid media, the surface Rayleigh wave propagates. The velocity of this wave v R0 in the case of a plane boundary is less than the velocity of the Ra...
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Article
On slow waves in curvilinear fluid layers
Slow waves may propagate in thin fluid layers surrounded by elastic media. These waves possess dispersion and their velocities are equal to zero for the zero frequency. To investigate these waves, we consider ...
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Article
Investigation of normal waves in a porous layer surrounded by elastic half-spaces
The wave field and dispersion equations are found for a porous layer surrounded by two elastic half-spaces. The porous layer is described by the effective model of a medium in which elastic and fluid layers al...
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Article
On the velocity of the Rayleigh wave propagation along curvilinear surfaces
To investigate the propagation of Rayleigh waves on curvilinear boundaries, wave propagation along cylindrical and spherical surfaces is considered. For elastic media with indicated boundaries, exact solutions...
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Article
Investigation of low-frequency normal waves in a Biot layer surrounded by an elastic medium
The porous Biot layer surrounded by two elastic half-plates is considered. For this medium, two dispersion equations are established. These dispersion equations correspond to symmetric and antisymmetric parts ...
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Article
Wave propagation in an isolated porous Biot layer with closed pores on the boundaries
On the boundaries of such an isolated porous Biot layer, the total stresses and normal relative displacement are equal to zero. For this layer, the symmetric and antisymmetric dispersion equations are establis...
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Article
An effective model of a porous-fluid medium
For a medium containing alternating porous Biot layers and fluid layers, an effective model is established by the method of matrix averaging. An investigation of equations of this effective model shows that th...
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Article
Investigation of the tangency of front sets of two transversal waves in transversely isotropic elastic media
A special case of a transversely isotropic elastic medium is considered. This medium is excited by a point force perpendicular to the anisotropy axis. The wave field in this medium is constructed and investiga...
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Article
Investigation of the wave field in an effective model of layered elastic media with slide contact on the interfaces
An effective model of media consisting of two alternating elastic layers with slide contact on the boundaries is investigated. The wave field in this model is represented as Fourier and Mellin integrals. In th...
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Article
Investigation of wave propagation velocities in fluid mixtures
In order to determine the wave propagation velocities in fluid mixtures, the mixtures are approximated by block structures. These structures consist of identical cells containing eight blocks. The blocks may b...
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Article
The tube wave generated by a point source located outside a borehole
The excitation of the tube wave by a point source situated inside an elastic medium is considered. The amplitude of the tube wave as a function of the radial distance is given for media with high and low veloc...
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Article
An asymmetric wave field in a transversely isotropic elastic medium
A transversely isotropic homogeneous elastic medium excited by a point force perpendicular to the anisotropic axis is considered. The wave field in this medium is constructed and investigated. The front sets o...
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Article
Investigation of the wave field in an effective model of a layered elastic-fluid medium
For a medium that consists of alternating elastic and fluid layers, an effective model is constructed and investigated. This model is a special case of the Biot medium. The wave field is represented as Fourier...
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Article
Attenuation of waves propagating in fluid mixtures
Wave propagation in fluid mixtures is investigated on the basis of effective models of block and layered media. These models are anisotropic fluids described by wave equations. In the equations, additional ter...
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Article
Estimating inequalities for velocities of wave propagation and for effective densities in fluid mixtures
Wave propagation in block fluid media is investigated on the basis of effective models, which are anisotropic fluids. For velocities of wave propagation and for effective densities, estimating inequalities are...
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Article
Pavel Vladimirovich Krauklis
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Article
Propagation of Seismic Waves in Block Elastic-Fluid Media. III
The propagation of seismic waves in block two- and three-dimensional media is investigated. These media are composed of identical cells in which there are several fluid blocks and one elastic block. For these ...