Wave propagation analysis of porous rocks with the thermal activated relaxation mechanism

Dao-ying, XI; Xu, Sheng; Du, Yang; Yi, Liangkun

doi:10.1016/j.jappgeo.2011.01.013

Cited by 10 publications

(3 citation statements)

References 26 publications

(39 reference statements)

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“…The concept of porous media is used in many areas of applied science and engineering: filtration, mechanics (acoustics, geomechanics, soil mechanics, rock mechanics (Xi et al, 2011)), engineering (petroleum engineering, bioremediation (Anglin et al, 2008), construction engineering), geosciences (hydrogeology, petroleum geology (Blunt, 1998), geophysics), biology, biophysics (Clement et al, 1996), material science, etc. These works amply justify that fluid flow through porous media is a subject of immense common interest and has, hence, emerged as a separate field of study.…”

Section: Introductionmentioning

confidence: 99%

Damping of oblique ocean waves by a vertical porous structure placed on a multi-step bottom

Das¹,

Bora²

2014

J. Marine. Sci. Appl.

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Oblique ocean wave damping by a vertical porous structure placed on a multi-step bottom topography is studied with the help of linear water wave theory. Some portion of the oblique wave, incident on the porous structure, gets reflected by the multi-step bottom and the porous structure, and the rest propagates into the water medium following the porous structure. Two cases are considered: first a solid vertical wall placed at a finite distance from the porous structure in the water medium following the porous structure and then a special case of an unbounded water medium following the porous structure. In both cases, boundary value problems are set up in three different media, the first medium being water, the second medium being the porous structure consisting of p vertical regions-one above each step and the third medium being water again. By using the matching conditions along the virtualvertical boundaries, a system of linear equations is deduced. The behavior of the reflection coefficient and the dimensionless amplitude of the transmitted progressive wave due to different relevant parameters are studied. Energy loss due to the propagation of oblique water wave through the porous structure is also carried out. The effects of various parameters, such as number of evanescent modes, porosity, friction factor, structure width, number of steps and angle of incidence, on the reflection coefficient and the dimensionless amplitude of the transmitted wave are studied graphically for both cases. Number of evanescent modes merely affects the scattering phenomenon. But higher values of porosity show relatively lower reflection than that for lower porosity. Oscillation in the reflection coefficient is observed for lower values of friction factor but it disappears with an increase in the value of friction factor. Amplitude of the transmitted progressive wave is independent of the porosity of the structure. But lower value of friction factor causes higher transmission. The investigation is then carried out for the second case, i.e., when the wall is absent. The significant difference between the two cases considered here is that the reflection due to a thin porous structure is very high when the solid wall exists as compared to the case when no wall is present. Energy loss due to different porosity, friction factor, structure width and angle of incidence is also examined. Validity of our model is ascertained by matching it with an available one.

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Section: Introductionmentioning

confidence: 99%

Damping of oblique ocean waves by a vertical porous structure placed on a multi-step bottom

Das¹,

Bora²

2014

J. Marine. Sci. Appl.

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“…Over a long period of time, many scholars have done a lot of studies on the determination of rock's basic physical and mechanical parameters under the influence of high temperatures [1][2][3][4][5][6], its thermal cracking and the mechanism for its damage [7][8][9][10][11][12], and achieved research results of theoretical significance and practical value. However, such studies as above are made mostly from the perspective of statics, thus making it impossible to probe into the relationship between the rocks under impact loads and the high temperature environment.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Impact Compressive Mechanical Properties of Sandstone After as well as Under High Temperature

Shi

2014

High Temperature Materials and Processes

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Conducting experimental studies on the impact compressive mechanical properties of rock under the high temperature environment is of both theoretical value and practical significance to understanding the relationship between the rock under the effect of impact loads and the high temperature environment. Based on the Φ100 mm SHPB and the self-developed Φ100 mm high-temperature SHPB test devices, the impact compressive tests on the sandstone, whether cooling after high temperatures or under real-time high temperatures are carried out. As the test results indicate that since the two high-temperature ways of loading are different from each other, the impact compressive properties of sandstone, after as well as under high temperatures, show different variations along with changes in temperature. Under the effect of the same impact loading rate, there exists a clear critical temperature range in the impact compressive mechanical properties of sandstone after high temperature, and, near the critical temperature, there occurs a significant mutation in the impact compressive mechanical properties. Under high temperatures, however, the impact compressive mechanical properties follow an overall continuity of change except that there are slight fluctuations at individual temperatures.

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“…Anglin et al (2008) investigated porous silicon for applications in microelectronics, optoelectronics, chemical and biological sensors and biomedical devices. A rheological model was employed to describe viscoelastic attenuation in saturated porous rocks in Xia et al (2011) and they concluded that the model was helpful for the understanding of wave propagation in the temperature domain. Blunt (1998) considered a capillary equilibrium-based network model to compute oil recovery and Amott wettability indices in intermediate wet porous media.…”

Section: Introductionmentioning

confidence: 99%

Wave damping by a vertical porous structure placed near and away from a rigid vertical wall

Das¹,

Bora²

2013

Geophysical & Astrophysical Fluid Dynamics

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Damping of water waves by a vertical porous structure placed at some distance from a vertical wall is investigated within the framework of linear water wave theory. The rectangular porous structure is placed on a small rectangular elevation. An incident wave of small amplitude propagates through the structure -some portion gets reflected back while some portion gets transmitted to a third region bounded vertically by a rigid wall which is considered to be at a distance near the porous structure, and also away from the wall at a large distance as a separate case. Boundary value problems are set up in all three regions and, by using the matching conditions along the vertical boundaries, a system of linear equations is deduced. The roots of the relevant dispersion relation are used in setting up the system of equations. The overall scattering phenomenon is studied with respect to different relevant parameters. The dependence of the coefficients on the thickness (width) of the porous structure is investigated for different numbers of modes and porosity. It is observed that, except for the case when the porous structure is thin, the reflection and transmission coefficients give rise to values as expected. In the case, when the rigid wall is nearer to the structure, the reflection coefficient decreases rapidly for a thin structure and converges for all numbers of evanescent modes afterwards. The transmission coefficient also decreases as the width increases, ultimately converging and vanishing for a wide structure. When the wall is at a large distance away from the structure, the behavior of both the reflection and transmission coefficients remain the same. For both cases of the wall being nearer and away from the structure, higher porosity gives rise to lower reflection coefficients and higher transmission coefficients. However, the transmission coefficients converge and vanish when the porous structure is very wide. We also discuss the energy loss against the width of the porous structure for different values of number of modes and porosity. Irrespective of the positioning of the rigid wall, we observe that for higher values of porosity, energy loss is more pronounced when the structure is not thin, whereas energy loss is same for all numbers of modes. All our observations are supported by graphs. Good agreement of our result with earlier results justifies our model.

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Wave propagation analysis of porous rocks with the thermal activated relaxation mechanism

Cited by 10 publications

References 26 publications

Damping of oblique ocean waves by a vertical porous structure placed on a multi-step bottom

Damping of oblique ocean waves by a vertical porous structure placed on a multi-step bottom

Investigation of Impact Compressive Mechanical Properties of Sandstone After as well as Under High Temperature

Wave damping by a vertical porous structure placed near and away from a rigid vertical wall

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