To an estimate of the propagation velocities of acoustic waves in a relaxing saturated porous medium

2010 ◽  
Vol 7 ◽  
pp. 153-162
Author(s):  
S.V. Lukin ◽  
S.F. Urmancheev
Keyword(s):  
Porous Medium ◽  
Acoustic Waves ◽  
Wave Attenuation ◽  
Saturated Porous Medium ◽  
Relaxation Times ◽  
Saturated Porous Media ◽  
Adopted Model ◽  
Fast And Slow Waves ◽  
The Mathematical Model ◽  
Propagation Velocities

Studies have been carried out on the propagation of acoustic pulses in saturated porous media with a viscoelastic skeleton are presented in this work. The mathematical model of wave processes is considered within the framework of the mechanics of multiphase media. Estimates are given for the propagation velocities of ”fast“ and ”slow“ waves in limiting cases. The surfaces of phase velocities and damping decrements are constructed as a function of the logarithm of dimensionless relaxation times and frequencies. Areas of intense wave attenuation in the adopted model of a saturated porous medium are established.

Buoyancy Driven Flow in Saturated Porous Media

2006 ◽  
Vol 129 (6) ◽  
pp. 727-734 ◽  
Author(s):  
H. Sakamoto ◽  
F. A. Kulacki
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Boundary Layer ◽  
Mass Transfer ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Saturated Porous Media ◽  
Transfer Coefficients ◽  
Heat Transfer Coefficients ◽  
Bulk Medium

Measurements are reported of heat transfer coefficients in steady natural convection on a vertical constant flux plate embedded in a saturated porous medium. Results show that heat transfer coefficients can be adequately determined via a Darcy-based model, and our results confirm a correlation proposed by Bejan [Int. J. Heat Mass Transfer. 26(9), 1339–1346 (1983)]. It is speculated that the reason that the Darcy model works well in the present case is that the porous medium has a lower effective Prandtl number near the wall than in the bulk medium. The factors that contribute to this effect include the thinning of the boundary layer near the wall and an increase of effective thermal conductivity.

scholarly journals Transient Fluid Motions in Saturated Porous Media

1957 ◽  
Vol 10 (1) ◽  
pp. 43 ◽  
Author(s):  
JR Philip
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Heat Conduction ◽  
Exact Solutions ◽  
Kinematic Viscosity ◽  
Saturated Porous Medium ◽  
Steady Motion ◽  
Potential Gradient ◽  
Saturated Porous Media ◽  
Approximate Analysis

The transition from rest to steady motion on the sudden application of a potential gradient to the fluid contained in a saturated porous medium is investigated. An approximate analysis gives the result that the time of the effective establishment of the steady motion is proportional to the permeability and inversely proportional to the kinematic viscosity. Two exact solutions (one of them new) for simple cases suggest that the approximate analysis is remarkably accurate. An analogy between this problem and one in heat conduction makes the relevant results in that field immediately applicable here.

scholarly journals Kinetics of filtration consolidation of water-saturated clay soils

2020 ◽  
pp. 86-95 ◽  
Author(s):  
O. V. Ageikina ◽  
V. V. Vorontsov ◽  
R. R. Sufyanov
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Experimental Studies ◽  
Saturated Soils ◽  
Consolidation Process ◽  
Filtration Consolidation ◽  
Wide Range ◽  
Water Saturated ◽  
The Mathematical Model

The relevance of the research processes filtration consolidation due to the place of water-saturated soils in various design solutions related to the exploration, production and transportation of hydrocarbons. It should be noted that the diversity of soils led to the emergence of a wide range of mathematical models, obtained on the basis of generalization of experimental data and various assumptions to simplify engineering calculations. The article presents the results of theoretical and experimental studies of the mathematical model of the consolidation process of a water-saturated porous medium. This model is based on simplifying assumptions that are different from those adopted in well-known solutions. A fundamental approach to the formation of the model was developed on the basis of the kinetic representations of chemical reactions used in solving the environmental problems of epoxidation reactions of olefins. We determined the parameters of the mathematical model of the consolidation process of the saturated porous medium of clayey soil and confirmed its adequacy by the research results. In addition, we established the parameters of the field of non-equilibrium filtration, reducing the nonexistent ability of water-saturated soils.

Wave Field in Fluid Saturated Porous Media Subjected to Excitations of Multiple Energy Sources

2005 ◽  
Author(s):  
Liming Dai ◽  
Guoqing Wang
Keyword(s):  
Porous Media ◽  
Elastic Waves ◽  
Saturated Porous Medium ◽  
Wave Model ◽  
Energy Sources ◽  
Saturated Porous Media ◽  
Moving Coordinate ◽  
Fluid Saturated Porous Medium ◽  
The Mathematical Model ◽  
The Waves

This research is to investigate the behavior of elastic waves in porous media consisting of fluid and solid. A new methodology for describing the wave motion of a fluid-saturated porous medium is developed with the establishment of a mathematical wave model. Dynamic equations in the form of displacements of the fluid and solid are derived for analyzing the elastic waves propagating in homogeneous and isotropic porous media, which are subjected to excitations of multiple energy sources. Solutions of the wave equation are developed on the basis of the moving-coordinate method. Numerical simulations of the waves propagating in the porous media with multiple energy sources are also performed for demonstrating the application of the mathematical model developed.

Mass and heat transfer in the problem of propagation of acoustic waves in a porous medium

2012 ◽  
Vol 9 (1) ◽  
pp. 139-141
Author(s):  
L.F. Sitdikova ◽  
V.L. Dmitriev
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Acoustic Waves ◽  
Heat Conduction Equation ◽  
Wave Processes ◽  
Common System ◽  
Inner Surface ◽  
Fast And Slow Waves ◽  
Mass And Heat Transfer ◽  
Velocity Approximation

The paper is devoted to a theoretical investigation of wave processes in moist porous media saturated with gas. Interfacial forces of interaction, heat exchange between the skeleton of a porous medium, liquid and gas, mass transfer between a liquid and a gas; material of the skeleton of a porous medium is considered viscoelastic, the liquid covers the inner surface of the pores of the medium with a thin uniform layer. The propagation of acoustic waves is considered in the two-velocity approximation. A common system is recorded equations and physical relationships describing the propagation of acoustic waves in a wet porous medium. A dispersion relation is obtained. Influence of heat transfer between phases on propagation ”Fast“ and ”slow“ waves is taken into account on the basis of the heat conduction equation.

scholarly journals Colloid clogging of saturated porous media under varying ionic strength and roughness during managed aquifer recharge

2019 ◽  
Vol 9 (3) ◽  
pp. 225-231 ◽  
Author(s):  
Du Xinqiang ◽  
Song Yalin ◽  
Ye Xueyan ◽  
Luo Ran
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Ionic Strength ◽  
Smooth Surface ◽  
Saturated Porous Medium ◽  
Managed Aquifer Recharge ◽  
Permeability Reduction ◽  
Saturated Porous Media ◽  
Aquifer Recharge ◽  
Pore Throat

Abstract Column experiments were conducted to examine the clogging effects of colloids under controlled conditions of solution ionic strength (IS) and porous media roughness. The results showed that colloids in recharge water play an important role in the clogging process of saturated porous media, such that even a small amount of colloid may cause a large reduction in the permeability of the porous medium. Clogging at the pore throat was inferred to be the main reason for the severe permeability reduction of porous media. The characteristics of colloid clogging were clearly influenced by both IS and medium roughness. Recharge water with a higher IS facilitated greater attachment of colloids to the surface of the saturated porous medium, which lead to superficial clogging, while collectors with a rough surface resulted in greater clogging than collectors with a smooth surface.

Propagation of linear waves in moist porous media saturated with gas, taking into account interphase heat transfer

2007 ◽  
Vol 5 ◽  
pp. 163-168
Author(s):  
V.L. Dmitriev ◽  
S.V. Volodin
Keyword(s):  
Porous Medium ◽  
Heat Exchange ◽  
Acoustic Waves ◽  
System Of Differential Equations ◽  
Interphase Interaction ◽  
Interaction Forces ◽  
Interphase Heat Transfer ◽  
Linear Waves ◽  
Exchange Processes ◽  
Fast And Slow Waves

A system of differential equations describing process of propagation of acoustic waves in a saturated saturated gas to a porous medium. A dispersion relation taking into account Interphase interaction forces and heat exchange processes between the skeleton porous medium, liquid and gas. Influence of heat exchange processes between phases on the nature of the propagation of ”fast“ and ”slow“ waves is taken into account on the basis of the heat conduction equations.

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