Biot coefficient

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 … WebBiot 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 …

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WebAug 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, … http://www.cage.uh.edu/rql/Oral%20Presentation_2005%20Meeting/patzek_oral.pdf diagnosed with liver cancer https://rockadollardining.com

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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 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 … 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 … diagnosed with lupus

Estimation of Biot’s effective stress coefficient from well logs

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Biot coefficient

Propagation of Sound in Porous Media: Modelling Sound …

WebJun 12, 2024 · Recently, we reviewed about 90 geomechanical lab reports (from different labs, different formations, different producing companies) containing extensive … 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 …

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 ... 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 …

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 … 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 …

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 … 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 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.

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 ... diagnosed with lupus at 50WebThe 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 ... diagnosed with itpWebJun 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 … cineworld hot dogWebIn 2008 he was awarded the M. A. Biot medal of Poromechanics from the American Society of Civil Engineers (ASCE) for his outstanding research contributions in extending Biot theory to the acoustics of air filled sound absorbing porous materials by providing models and measuring techniques for the industry. ... 3.5 Reflection coefficient and ... cineworld how to cancel ticketsWebThe 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 ... diagnosed with lupus at 62WebJun 10, 2024 · Abstract. The theory of the deformation of a porous elastic solid containing a compressible fluid has been established by Biot. In this paper, methods of measurement are described for the determination of the elastic coefficients of the theory. The physical interpretation of the coefficients in various alternate forms is also discussed. Any … cineworld how long are trailersWebMay 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 … diagnosed with kidney disease