Biot coefficient
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 · 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, …
Biot coefficient
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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 4, 2024 · Poroelasticity Material Properties. The constitutive law for an isotropic, poroelastic material is. σ = C ε − α d p. where C is the compliance tensor, α is the poroelasticity Biot coefficient (dimensionless from 0 to 1) and d p = p − p 0 is difference in pore pressure relative to the reference pore pressure.
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 ... 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. … WebJun 12, 2024 · Recently, we reviewed about 90 geomechanical lab reports (from different labs, different formations, different producing companies) containing extensive …
WebMay 28, 2024 · Theoretically, pore pressure changes coupled with stress variations in hydrocarbon reservoirs are a function of the Biot’s coefficient, the elastic properties of the rock and the reservoir shape. Thus, in this study, the Biot’s coefficient was measured as a function of porosity, permeability, and volumetric strain for five Gosford sandstone ...
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 fedchurchWebMay 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 … fed chickensWebSignificance 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 ... declaration of independence clip art freeWebMay 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 … fedc hours tamuWebJan 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 ... fedchoice total depositsWebPoroelasticity 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 … fedchoice.org loginWebApr 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 … declaration of independence christian