Structural damping by lightweight poro-elastic media
The structural damping performance of limp porous media: i.e., fibrous layers with negligible bulk frame elasticity, was investigated previously.Presented here is a study focusing on porous damping media (i.e., fibers, foams, etc.) with elastic frames, here referred to as "poro-elastic media" using the near-field damping (NFD) analytical toolbox, the power …
Thermo-poro-elastic analytical model of the heat extraction …
The poro-elastic parameters mainly include shear module, Biot''s coefficient diffusion effect, and Poisson''s ratio, whereas the thermo-elastic effect is controlled by the linear expansion coefficient. The poro-elastic parameters had very little impact on heat extraction performance, as Fig. 15, Fig. 16, Fig. 17, Fig. 18 demonstrate.
Chapter 7. Introduction to Poroelasticity Theory
This chapter outlines the general theory of the mechanics of porous rocks, which allows for completely arbitrary states of stress. This theory is generally referred to as …
Introduction | 1 | Poro-Elastic Theory with Applications to Transport
Poro-elastic theory has been widely applied to various engineering and scientific problems involved in multi-phase media. For environmental science and civil related engineering fields, we are interested in static and dynamic response of porous media subject to environmental loading as well as other type of forces, such as those of thermal and chemical origin.
A phase-field fracture model in thermo-poro-elastic media with ...
The first is the degradation of poro-thermo-elastic strain energy. While the degradation of elastic strain energy has been more or less established, somewhat ad-hoc and various ways to degrade the poro-thermo-elastic strain energy have been employed in [35], [37], [38], [41]. The second is the transition of the hydraulic and thermal material ...
May 27, 2021 arXiv:2103.07569v2 [math.AP] 25 May 2021
Weak Solutions for a Poro-elastic Plate System Elena Gurvich Justin T. Webster University of Maryland, Baltimore County University of Maryland, Baltimore County Baltimore, MD Baltimore, MD gurv-3@umbc websterj@umbc May 27, 2021 Abstract We consider a recent plate model obtained as a scaled limit of the three dimensional Biot system
A new mixed finite element method for poro‐elasticity
The performance of the method is tested on one‐ and two‐dimensional classical problems in poro‐elasticity. The numerical experiments suggest the same rates of convergence …
Analysis of Nonlinear Poro-Elastic and Poro-Visco-Elastic Models …
We consider the initial and boundary value problem for a system of partial differential equations describing the motion of a fluid–solid mixture under the assumption of full saturation. The ability of the fluid phase to flow within the solid skeleton is described by the permeability tensor, which is assumed here to be a multiple of the identity and to depend …
Thermo-Poro-Elastic Behaviour of a Transversely Isotropic Shale ...
The Callovo-Oxfordian (COx) claystone is considered as a candidate host rock for a deep geological radioactive waste repository in France. Due to the exothermic waste packages, the rock is expected to be submitted to temperatures up to 90 °C. The temperature rise induces deformations of the host rock, together with an increase in pore pressures, involving …
Poro-Elastic Theory with Applications to Transport in Porous Media
DOI link for Poro-Elastic Theory with Applications to Transport in Porous Media. Poro-Elastic Theory with Applications to Transport in Porous Media. By Dong-Sheng Jeng, Lin Cui. Edition 1st Edition. First Published 2023. eBook Published 20 April 2023. Pub. Location Boca Raton. Imprint CRC Press.
A fully coupled thermo-poro-elastic model predicting the stability …
In this work, a fully coupled thermo-poro-elastic (THM) model is developed to predict the mechanical behaviors of a wellbore/reservoir system during deep-sea drilling (DSD) by combining the drilling fluid circulation in the wellbore and rock deformation in the reservoir. Transient heat transfer of the fluid in the wellbore/reservoir and heat ...
A thermodynamically consistent framework for visco-elasto
This paper presents a poro-visco-elastic-plastic damageable model for saturated frozen soils within a rigorous theoretical framework. The effective fluid pressure, obtained considering the interfacial energy, is combined with the total Cauchy stress in order to formulate the hydro-mechanical effective stress applied to a soil skeleton. On the other hand, a two …
Mathematical Effects of Linear Visco-elasticity in Quasi-static …
and the homogenized pore pressure p. The pressure equation, resulting from mass balance, reads: ζt −∇· [K∇p] = S. (2.1) The quantity ζ is the fluid-content, and in the standard Biot model of poro-elasticity it is given by ζ = c0p+α∇ · u.(2.2) The constant c0 ≥ 0 represents compressibility of the constituents, and will be considered in two regimes
Poro-Elastic Theory with Applications to Transport in Porous Media
DOI link for Poro-Elastic Theory with Applications to Transport in Porous Media. Poro-Elastic Theory with Applications to Transport in Porous Media. By Dong-Sheng Jeng, Lin …
The stability of poro-elastic wave equations in saturated
The formulation of the poro-elastic wave equations is an important topic of petroleum engineering and geophysics for a long time (Biot 1941; Burridge and Keller 1981; De la Cruz and Spanos 1985; Pride et al. 1992; Dvorkin and Nur 1993; Chapman et al. 2002; Carcione et al. 2004).Biot (1956, 1962) proposed wave equations in porous elastic media saturated with …
Poro Cheese
Kênh chính của Poro Cheese làm về Liên Minh Huyền Thoại bao gồm: - Cách chơi - Cách lên đồ - Tư duy chiến thuật - Hot meta
Mechanics of Poro-Elastic Media: A Review with Emphasis on
We review fundamental aspects of linear poro-elasticity. In contrast to most available text-books and review articles, our treatment of poro-elastic media is based on the continuum Mixture …
Thermoelastic Analysis in Poro-Elastic Materials Using a TPL …
The variations of temperature, variations of displacement, and distributions of solid and liquid stresses in poro-elastic media have been given using the three-phase-lag poro …
Poro-elastic and poro-elasto-plastic modeling of sandy seabed …
A dynamic poro-elasto-plastic seabed model, integrated with a stress-ratio controlled sand plasticity model, is developed in this study. The seabed model has been verified against the existing analytical solutions and experimental data. The soil particle trajectories at different depths of poro-elastic seabed under progressive wave are discussed.
Analysis of Nonlinear Poro-Elastic and Poro-Visco-Elastic Models
We consider the initial and boundary value problem for a system of partial differential equations describing the motion of a fluid–solid mixture under the assumption of full saturation. The ability of the fluid phase to flow within the solid skeleton is described by the permeability tensor, which is assumed here to be a multiple of the identity and to depend …
Deep Learning a Poro-Elastic Rock Physics Model for Pressure …
eters. Raymer et al. (1980) propose a mixing approach to calculate poro-elastic parameters for matrix and fluid phases that comprise of more than one component. In this model, the poro-elastic attributes P-wave velocity VP, S-wave velocity VS, and density ρ are functions of the porosity φ, clay volume Vcl, and water saturation SW. Krief et ...
Poro-elastic–plastic model for cement-based materials subjected …
The overall mechanical behavior of porous materials subjected to serious environmental actions can be analyzed by a poro-mechanical approach where harmful stresses originating from in-pore pressure, such as crystallization of sea-salts in dry environments and crystallization of ice in wet and cold environments [18], [19].The poro-mechanical approach can …
PORO-VISCO-ELASTIC MODELS IN BIOMECHANICS:
PORO-VISCO-ELASTIC MODELS IN BIOMECHANICS 65 where K = K(∂u∂x) is the permeability, whose structure depends on the ge- ometrical architecture of the pores and the physical properties of the fluid. In biological applications, K often depends nonlinearly on ∂u ∂x, resulting in a nonlinear coupling of the balance equations.
Poroelastic Material
Their speed can be evaluated through the variables pelw.cp_fast, pelw.cp_slow, and pelw.cs_poro, respectively. These should not be confused with the material properties for the constituting solid (pelw.cp and pwel.cs) and fluid (pelw.c). All three poroelastic wave types should be resolved by the computational mesh.
Using poro-elasticity to model the large deformation of tissue …
Comparison of the linear and nonlinear poro-elastic models. From the previous section, we know that the infinitesimal deformation assumption of the linear poro-elastic model is violated for k 0 = 1 D. The nonlinear model presented in Eq. (36) is not subjected to such limitation. In this section, we use both the linear and nonlinear models to ...
Pore pressure generation in a poro-elastic soil under moving train ...
Using Biot''s theory of wave propagation in poro-elastic media, a 2.5D finite element model has been presented in u–w format. The model has been used to carry out a fully coupled, wavenumber/frequency domain analysis of the dynamic response of saturated ground to moving steady train loads on a railway track on a shallow embankment. The ...
(PDF) Thermodynamics of magneto
The theory of elastic magnets is formulated under possible diffusion and heat flow governed by Fick''s and Fourier''s laws in the deformed (Eulerian) configuration, respectively.