Biot coefficient

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 …

Evolution of permeability and Biot coefficient at high mean …

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 ... The 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 simpson thd50800hmg https://rimguardexpress.com

Rapid Measurement of Biot’s Effective Stress Coefficient for Oil …

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 ... 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. WebThe Biot coefficient has an important application value on the drilling engineering & fracturing engineering.The equation, which is used for the log interpretation of Biot coefficient, is dependent on all-wave logging,so its spread is limited. Based on the results of core tests,taking the deformation mechanism of grain-rock and chemical ... simpson the movie 123

Evolution of permeability and Biot coefficient at high mean …

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Biot coefficient

Poroelasticity Calculations - OSUPDOCS - Oregon State University

WebFeb 1, 2010 · Biot's coefficient is a measure of sediment stiffness. In the present paper we addressed how this is related to the stress of pore collapse and creep for the calcareous … WebMay 19, 2024 · However, the area-averaged overall cooling effectiveness uniformity coefficient depends on the Biot number. Film cooling is widely applied as an effective …

Biot coefficient

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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 ... 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 … WebBiot Number. Bi is the Biot number, which is a dimensionless number that represents the ratio of the resistance to heat transfer from the inside of the body to the surface of the body (52). ... where k f is the film mass transfer coefficient, d p is the particle diameter, and D eff is the effective diffusion coefficient. The k f value of bovine ...

WebThe Biot-Willis coefficient is a key component associated with the effective stress field, where it represents the proportion of fluid pressure that counteracts the confining stress. … 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 …

WebJun 10, 2013 · The fraction of the pore pressure is termed the Biot effective stress coefficient. A precise determination of the effective stress is needed to predict compaction, since it is the effective stress ...

WebMay 19, 2024 · However, the area-averaged overall cooling effectiveness uniformity coefficient depends on the Biot number. Film cooling is widely applied as an effective way to maintain the turbine blade temperature at an acceptable level. The present paper investigates the overall cooling effectiveness and flow structure by performing conjugate … simpson the movie freeWebFeb 1, 2010 · Biot's coefficient has negative relationship with compressional modulus, shear modulus, oedometer modulus and yield strength. It has positive relationship with creep strain. Biot's coefficient has the potential to be used as a tool for predicting mechanical strength of reservoir rock due to the changed stress state during … razor powerrider 360 chain keeps falling offWebBiot 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 … razor power rider 360 replacement batteryWebNov 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 … razor power rider 360 motor upgradeWebMar 25, 2024 · Biot coefficient (Fig.1). The amplitude difference between the absolute value of the H and the initial stress increases in the horizontal direction of model with the … razor powerrider 360 electric scooterWebJan 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 … simpson theme song lyricsWebNov 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 ... simpson the movie full movie