Biot coefficient
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 ... WebMechanical 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 ...
Biot coefficient
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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 … WebUsing Biot's poroelasticity theory, we derive expressions for the reflection and transmission coefficients for a plane shear wave incident on an interface sepa 掌桥科研 一站式科研服务平台
WebSignificance of biot number in heat transfer: 1) The biot number shows the relation between the internal conductive resistance and convective resistance at the surface of the object. 2) It is used as a criterion for lumped system analysis. 3) The higher value of the biot number indicates that the internal resistance in the object is higher than ...
WebNov 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 … WebThe obtained results ( Table 3) show that the Biot coefficient is stress dependent. The Biot coeftlcient go from 0.84 for a vertical stress of 8.75 MPa to 0.42 for a vertical stress equal to 35 ...
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 ...
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 … how far is ton 618 from the milkywayWebJun 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 ... high chod-papWebJun 12, 2024 · Recently, we reviewed about 90 geomechanical lab reports (from different labs, different formations, different producing companies) containing extensive … how far is tonga from japanWebThe 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 ... high cho foodsWebMay 28, 2024 · For the investigated samples, measured liquid permeabilities were in the range of 7–10 mD and Biot’s coefficients were 0.84–0.91. This is consistent with similar investigations by other researchers in which measured Biot’s coefficients were in … high chlorophyll high rature stressWebMar 1, 2015 · The mathematic expression of Biot’s effective stress is: \sigma_ {\text {eff}} = \sigma_ {\text {total}} - \alpha \cdot p , (1) where σ eff is the effective stress, MPa; σ total … high chlorine testWebBiot theory is the basis to describe wave propagation in porous media, starting with Terzaghi law, Gassmann equation, and the static approach leading to the concept of … how far is ton 618