Biot coefficient

Author: mmws

August undefined, 2024

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. 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 …

Review of Techniques for Measuring the Biot Coefficient and …

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 … WebMar 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 … shrowma

Evolution of permeability and Biot coefficient at high mean …

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 ... WebJul 10, 2024 · Biot coefficient and elastic moduli are typically assumed to have a constant value for analyzing poroelastic effects of fluid injection. To investigate the stress–pore pressure dependency of Biot coefficient and elastic moduli, we conducted a series of laboratory experiments on a porous dolomite core sample from a reef in Michigan basin. 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 … theory admiral crepe or wool trousers

The effect of Biot coefficient and elastic moduli stress–pore …

A Correlation for Estimating Biot Coefficient - OnePetro

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 … WebJun 11, 2024 · The objective of this paper is to develop an easy‐to‐use correlation for estimating the Biot coefficient. This is important because the Biot coefficient plays an … theory adjectiveWebNov 3, 2024 · This paper shows that both the overall bulk modulus of a porous medium and the Biot coefficient depend on the shape of the pores. Pores with shapes resembling … theory admiral crepe

"WebThe Biot's coefficient value has critical effects in the magnitudes of horizontal insitu stresses and effective stresses that governs the rock-mechanical response to the stress and pore pressure ... " - Biot coefficient

Biot coefficient

WebApr 12, 2024 · The coefficient forms an important component of the Biot poroelastic model that is used to examine coupled hydro-mechanical and thermo-hydro-mechanical … WebJun 12, 2024 · Recently, we reviewed about 90 geomechanical lab reports (from different labs, different formations, different producing companies) containing extensive …

Did you know?

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 ... WebApr 10, 2024 · The Biot coefficient is an important aspect of the theory of classical poroelasticity since it accounts for the rational estimation of effective stresses in a fluid-saturated porous media. The effective stresses ultimately control the deformations and failure of the skeletal fabric. In principle, the Biot coefficient can be estimated if the ...

WebJul 10, 2024 · Biot coefficient and elastic moduli are typically assumed to have a constant value for analyzing poroelastic effects of fluid injection. To investigate the stress–pore … WebNov 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 ...

WebAug 1, 2024 · The knowledge of Biot’s effective stress coefficient is of particular importance to simulate the effects of pore pressure variations during reservoir depletion and injection operations. Direct ... 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 ...

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 ...

WebJan 1, 2024 · The Biot's coefficient values the effect of the pore pressure on the total stress that is measured statically and dynamically. This static and dynamic Biot's coefficient was measured simultaneously on porous dolomite samples. Also, experiments have been carried out in two conditions of ambient and reservoir (90 °C) conditions. The … shrowsWebThe 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 ... theory adhdWebAug 1, 2024 · A more practical and affordable method uses sonic log data to calculate dynamic Biot’s coefficient through the equation α= 1-K dry /K 0 (1) where K dry and K 0 are dry rock and effective mineral modulus, … theory admiral crepe trousersWebMay 19, 2024 · However, the area-averaged overall cooling effectiveness uniformity coefficient depends on the Biot number. Film cooling is widely applied as an effective … theory admiral dressWebJan 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 ... shrowle cottageWebMay 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 … theory admiral flare pantsWebMay 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 … theoryaffinity