Biot coefficient
WebThe time-derivative terms of poroelasticity are (1) where is the Biot modulus: (2) is the fluid porepressure, is the Biot coefficient, is the volumetric strain, is the porosity, is the solid (drained) bulk modulus, and is the fluid bulk modulus. Evidently from Eq. WebMay 1, 2024 · @article{osti_1375031, title = {Evolution of permeability and Biot coefficient at high mean stresses in high porosity sandstone}, author = {Ingraham, Mathew D. and Bauer, Stephen J. and Issen, Kathleen A. and Dewers, Thomas A.}, abstractNote = {A series of constant mean stress (CMS) and constant shear stress (CSS) tests were …
Biot coefficient
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WebJan 19, 2016 · While it is sometimes necessary to use a more exact effective stress law in rock (σ ij = S ij – δ ij α P p, where α is Biot’s coefficient and varies between 0 and 1), in most reservoirs it is generally sufficient simply to assume that α = 1. This reduces the effective stress law to its original form (Eq. 2). When expanded, the Terzaghi ... WebApr 22, 2024 · Abstract. The objective of this paper is to develop an easy to use correlation for estimating Biot coefficient. This is important as Biot coefficient plays an important …
WebThe Biot coefficient is the fluid volume change induced by bulk volume changes in the drained condition. However, there is experimental evidence showing a difference … WebPoroelasticity is a field in materials science and mechanics that studies the interaction between fluid flow and solids deformation within a linear porous medium and it is an …
Web^ Green DH, Wang HF (1990) Specific storage as a poroelastic coefficient. Water Resour Res 26(7):1631–1637 ^ Biot MA (1956) General solutions of the equations of elasticity and consolidation for a porous material. J Appl Mech ASME 78:91–96 ^ Biot MA, Willis DG (1957) The elastic coefficients of the theory of consolidation. J Appl Mech ASME ... WebRefresher of Biot’s static poroelasticity model Biot’s dynamic poroelastic model from the non-equilibrium filtration theory Low frequency reflections from a plane interface …
WebMay 14, 2024 · The subsurface rock formations may contain predominantly the intragranular matrix porosity in the sedimentary rocks and predominantly the fracture porosity in the nonporous crystalline rocks (Brace 1980, 1984; Merriam et al. 2007).The Biot or the Biot–Willis effective stress coefficient (Biot 1941; Biot and Willis 1957) is an essential …
Web2 days ago · These findings suggest that the anisotropy of the Biot coefficient has a significant impact on deformation caused by frost action, and therefore numerical simulations should adequately consider this factor. The second paper is from Dolaana Khovalyg, Alexandre Mudry, and Thomas Keller from Ecole Polytechnique Fédérale de … simplehuman mini round step canWebJun 29, 2024 · It can be observed from Fig. 6 that, on average, for sandstones and limestones the Biot coefficient is equal to 0.75 and for the marbles-granite group the Biot coefficient can be lower and in the ... simple human m bags 100 countWebThe Biot coefficient a is measured as (i) the ratio of increment of fluid content to bulk volumetric strain a = Δζ/Δε v; (ii) the ratio of increment of mean stress to cavity fluid pressure a = DP/Dp under the conditions of zero volumetric strain; and (iii) a = 1- (K/Ks′), which requires the measurement of two other elastic coefficients, K ... simplehuman matte blackWebNov 24, 2008 · (2), α is the Biot coefficient and varies from 0 through 1. If α=1, the Eq. (2) will be changed to Terzaghi's equation (Eq. (1)). Biot presented the α coefficient as follow: s K α = 1− K (3) In this equation, K is bulk modulus of porous medium and Ks is bulk modulus of solid parts of porous medium. Since Ks>>K, the K/Ks ratio tends to ... simplehuman mini wire frame dishrackWebMechanical Engineering questions and answers. An aluminum (2024-T6) cube 5 cm on a side is initially at a uniform temperature of 100°C and is suddenly exposed to room air at 25°C. The convection heat-transfer coefficient is 20 W/m2°C. Determine the Biot number of this process. (Aluminum properties: density = 2770 kg/m3, Cp = 875 J/ (kg K), k ... simplehuman m bags discontinuedThe Biot number is defined as: $${\displaystyle \mathrm {Bi} ={\frac {h}{k}}L}$$ where: $${\displaystyle {k}}$$ is the thermal conductivity of the body [W/(m·K)]$${\displaystyle {h}}$$ is a convective heat transfer coefficient [W/(m ·K)]$${\displaystyle {L}}$$ is a characteristic length [m] of the … See more The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot (1774–1862). The Biot number is the ratio of the thermal resistance for … See more • Convection • Fourier number • Heat conduction See more The value of the Biot number can indicate the applicability (or inapplicability) of certain methods of solving transient heat transfer problems. For example, a Biot number smaller … See more An analogous version of the Biot number (usually called the "mass transfer Biot number", or $${\displaystyle \mathrm {Bi} _{m}}$$) is also used in mass diffusion processes: See more raw meat refrigerated shelf lifeWebNov 3, 2024 · Abstract. Predicting the behavior of a saturated rock with variations in pore fluid pressure during geo-energy production and storage, deep geological disposal of nuclear wastes, etc. with skeletal mechanical behavior in the linear elastic range is carried out using the isothermal theory of poroelasticity that incorporates Biot's effective stress … simplehuman mini trash can