Biot's coefficient wikipedia

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August undefined, 2024

WebA proper correlation of the Biot-Willis coefficient controlling the bulk volumetric strain is developed using the data available from various sources in a manner to meet the required endpoint ... 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

Laboratory measurement of Biot’s coefficient and pore pressure ...

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 … WebNov 24, 2008 · ABSTRACT. One of the most significant parameters in hydromechanical analyses is Biot coefficient. This coefficient which was presented by Biot, is used … did jessica buchanan ever meet the navy seals

Effective Stress Coefficient and Biot

WebNov 3, 2024 · The Biot coefficient for sandstones is shown with empty circles, the Biot coefficient of marble and granite is shown with filled circles. It can be seen that the Biot coefficient for... WebJun 8, 2009 · Abstract. Deformation of a hydrocarbon reservoir can ideally be predicted by estimating the effective stress acting on it. The effective stress is the difference between the total stress and a fraction (effective stress coefficient) of pore pressure. The effective stress coefficient is thus relevant for studying reservoir deformation and for evaluating 4-D … WebJun 18, 2024 · Biot’s coefficient is the change in fluid volume caused by total volume changes under a drained condition (Müller and Sahay 2016 ). It was proposed by the Biot poroelasticity theory, which was formulated by Biot ( 1941) based on an equilibrium thermodynamics method with the definition of an elastic energy potential. did jessicabiel leave 7th heaven

The influence of the pore shape on the bulk modulus and the Biot ...

WebMar 5, 2024 · 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 conduction inside a body to the resistance for convection at the surface of the body. WebMay 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 … did jesse watters get fired from fox newsWebAbstract. Biot 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 … did jessica brown leave wxix

"WebJun 28, 2015 · Biot’s coefficient can be expressed by a few different equations, and consequently, these equations may represent different approaches to measure this coefficient. We developed a combined method to measure the Biot’s coefficient by three different approaches based on three different equations using a single laboratory setup. " - Biot's coefficient wikipedia

Biot's coefficient wikipedia

Modeling of Biot’s coefficient for a clay-bearing ... - Springer

WebThe Biot number, Bi is dimensionless, which is ratio between of the internal and external resistance. where h is the average heat Transfer coeficient. L length dimention, The ratio between the volume and the surface area. k thermal conductivity. Drag coefficient (Cf) Drag coefficient (Cf) equation 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 …

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Poroelasticity 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 extension of elasticity and porous medium flow (diffusion equation). The deformation of the medium influences the flow of the fluid and vice versa. The theory was proposed by Maurice Anthony Biot (1935, 1941) as a theoretical extension of soil consolidation models developed to calculate the settlement of struct… WebThe Biot number is defined as: where: h = film coefficient or heat transfer coefficient or convective heat transfer coefficient L C = characteristic length, which is commonly defined as the volume of the body divided by the surface area of the body, such that k b = Thermal conductivity of the body

WebBiot is a small, bowl-shaped lunar impact crater located in the southern reaches of the Mare Fecunditatis.It is named after French astronomer Jean-Baptiste Biot. "Biot … WebAug 25, 2024 · Linear poroelastic theory is often used to relate the total stresses to pore pressure of a porous medium (Chen et al. 2004).The effective stress coefficient (Biot’s …

WebBiot’s equations are assumed to hold not only in continuous regions, but also at a discontinuity. By replacing the discontinuity surface with a thin transition layer, in which the properties of the medium change rapidly yet continuously, we arrive at interface con- ditions that are identical to the open-pore conditions of Der- esiewicz and Skalak. WebJun 12, 2024 · Recently, we reviewed about 90 geomechanical lab reports (from different labs, different formations, different producing companies) containing extensive measurements of all different sorts of mechanical rock properties and we could not find even a trace of Biot’s coefficient measurement.

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...

WebJun 20, 2024 · ν = Poisson ’ s ratio, σ 1 = overburden stress, α = Biot’ s constant, p p = reservoir fluid pressure or pore pressure, and σ ext = tectonic stress. Poisson ’ s ratio … did jessica burch leave krcrWebBiot ("BIological robOT"), the name given to an extraterrestrial biological robot in the fictional universe of Arthur C. Clarke 's novel Rendezvous with Rama (1973). Biot, a … did jessica chastain gain weightWebNov 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 … did jessica burns actually dieWebBiot coefficient is an important poroelastic constant that dictates the coupled behavior and relates the magnitude of deformation of rock framework and fluid. Biot coefficient is critical for estimation of in situ minimum horizontal stress. Specs: The experiment requires to flow through the sample by varying the pore pressure and confining ... did jessica cisneros winWebTheoretically, the Biot coefficient value varying from 0 to 1, but the experimental results suggest that the Biot coefficient ranges from 0.65 to 0.91 for the most reservoir rocks … did jessica dobson leave wmbfWebNov 20, 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 experimental evaluation of this parameter can be limited by the availability of good quality cores. The experiments can also be expensive and time … did jessica chastain have a babyWebMay 14, 2024 · The subsurface rock formations may contain predominantly the intragranular matrix porosity in the sedimentary rocks and predominantly the fracture porosity in the … did jessica burns wake up