Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range

Biot, Maurice A.

doi:10.1121/1.1908239

Cited by 6,859 publications

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“…[11]), or it can be modeled as a porous elastic saturated material whose skeleton has taken on some type of elastic capacity (the sediment can transmit shear waves). This study follows earlier research [4,6,18,19,20,11] and assumes that the dynamic behavior of sediment is similar to that of the porous elastic saturated or quasi-saturated material in accordance with the Biot formulation [21]. All of these studies conclude that compressibility plays a role in how bottom sediments can significantly modify global dynamic behavior, especially in the case of partially saturated sediments.…”

Section: Introductionmentioning

confidence: 64%

Influence of reservoir geometry and conditions on the seismic response of arch dams

García

Aznárez

Cifuentes

et al. 2014

Soil Dynamics and Earthquake Engineering

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This is the pre-peer reviewed version of the following article: Influence of reservoir geometry and conditions on the seismic response of arch dams, Soil Dynamics and Earthquake Engineering 2014; 67: 264-272, which has been published in final form at http://dx. AbstractAn analysis of the influence that reservoir levels and bottom sediment properties (especially on the degree of saturation) have on the dynamic response of arch dams is carried out. For this purpose, a Boundary Element Model developed by the authors that allows the direct dynamic study of problems that incorporate scalar (dammed up water), viscoelastic (dam and soil site) and poroelastic media (bottom sediments in the reservoir) is used. All of the regions are discretized using boundary elements, later formulating equations of compatibility and equilibrium that allow their interaction to be rigorously established. The seismic excitation consists in plane longitudinal waves (P waves) and shear waves (S waves) impinging the dam site with an angle of vertical incidence. The analysis is carried out in the frequency domain, and the time response is obtained, for synthesized artificial accelerograms defined in terms of the elastic response spectrum taken from Eurocode 8, using a FFT algorithm. The variables used to characterize the response are: Amplitude of the complex-valued frequency-response function, acceleration response spectra and the integral of velocity of points located at the structure. These variables clearly indicate the importance that the factors analyzed have on the dynamic response.

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Section: Introductionmentioning

confidence: 64%

Influence of reservoir geometry and conditions on the seismic response of arch dams

García

Aznárez

Cifuentes

et al. 2014

Soil Dynamics and Earthquake Engineering

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“…During the past several decades, the subject of plane reflection from the ocean floor is important in the applications such as geophysics, seismology, underwater acoustics, petroleum engineering, and hydrogeology [1][2][3][4][5][6]. The fundamental theory of the elastic plane wave propagation in fluid-saturated porous media was initially introduced by Biot who predicted the existence of three types of bulk waves propagating in the fluid-filled porous material: P1 wave, P2 wave and S wave [7]. The P2 wave was observed firstly in sintered glass beads [8] and then in natural air-filled sand-stone [9].…”

Section: Introductionmentioning

confidence: 99%

Plane Wave at the Interface Between Water and a Gassy Poroelastic Layer With Underlying Elastic Seabed

Chen¹,

Chen²

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. Based on the multiphase poroelasticity theory, the reflection characteristics of an obliquely incident plane wave upon a plane interface between overlying water and a gassy marine sediment layer with underlying elastic solid seabed are investigated. The sandwiched gassy layer is modeled as a porous material with finite thickness, which is saturated by two compressible and viscous fluids (liquid and gas). The closed-form expression for the ampli-

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“…A short list of papers pertinent to the present study includes Biot(1941Biot( , 1956, Gassmann (1951), Biot and Willis (1957), Biot (1962), Deresiewicz and Skalak (1963), Mandl (1964), Nur and Byerlee (1971), Brown and Korringa (1975), Rice and Cleary (1976), Burridge and Keller (1981), Zimmerman et al (1986Zimmerman et al ( ,1994, Berryman and Milton (1991), Thompson and Willis (1991)], Pride et al (1992), Berryman and Wang (1995), Tuncay and Corapcioglu (1995), Alexander and Cheng (1991), Charlez, P. A., and Heugas, O. (1992), Abousleiman et al (1998), Ghassemi and Diek (2002), Tod (2003).…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 14mentioning

confidence: 99%

Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material

Abbas

Youssef

2015

Lat. Am. j. solids struct.

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In the work, a two-dimensional problem of a porous material is considered within the context of the fractional order generalized thermoelasticity theory with one relaxation time. The medium is assumed initially quiescent for a thermoelastic half space whose surface is traction free and has a constant heat flux. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. The effect of the fractional order of the temperature, displacement components, the stress components, changes in volume fraction field and temperature distribution have been depicted graphically.

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Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range

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Cited by 6,859 publications

References 0 publications

Influence of reservoir geometry and conditions on the seismic response of arch dams

Influence of reservoir geometry and conditions on the seismic response of arch dams

Plane Wave at the Interface Between Water and a Gassy Poroelastic Layer With Underlying Elastic Seabed

Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material

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