Biot-willis数
WebOct 18, 2016 · The Biot-Willis coefficient is a key component associated with the effective stress field, where it represents the proportion of fluid pressure that counteracts the … Webビオ数（ビオすう、英: Biot number ）は伝熱に関する無次元量であり、固体内部の熱伝導と、表面からの熱伝達量の比率である。 その名はフランスの物理学者ジャン＝バティ …
Biot-willis数
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WebNov 25, 2024 · Let and be the elastic and poroelastic stress tensors, respectively: where and are the Lamé parameters and is the Biot–Willis constant. The poroelasticity region is governed by the quasi-static Biot system [ 23 ]: where is a storage coefficient and is the symmetric and uniformly positive definite rock permeability tensor, satisfying, for ... WebOct 16, 2016 · ABSTRACT. The 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. To properly estimate the Biot-Willis coefficient, we require knowledge of the more fundamental building blocks of a rock mass that go beyond the elastic …
Web7.2 有效应力的概念. 应力-应变关系（7.19）和（7.20）可以解释为增量场之间的关系，其中 应力和应变是相对于参考应力和应变的增量（在波传播情况下） ，或者，是绝对场之间的关系。. 最后的解释用于说明有效应力的概念。. 有效应力 (effective stress) 和 有效 ... WebMay 28, 2024 · Understanding rock behaviour as a function of pore pressure and confining pressure is crucial for petroleum and geomechanical analysis. Indeed, deformation and local stress variations within hydrocarbon reservoirs and their surroundings occur due to pore pressure changes. Theoretically, pore pressure changes coupled with stress variations in …
WebIn our example, the two Lam'e constants are both 40 MPa, the Poisson's ratio is 0.3, the Biot-Willis coefficient is 1.0, the porosity is 0.375, the hydraulic conductivity is $1\times 10^{-5} $ the compressibilities of the pore water and solid grain are $4.4 \times 10^{-10} $ and $2.8\times 10^{-10} $ respectively. Web^ Biot MA, Willis DG (1957) The elastic coefficients of the theory of consolidation. J Appl Mech ASME 24:594–601 ^ Verruijt A (1969) Elastic storage of aquifers. In: DeWiest RJM (ed) Flow through porous media. Academic, New York, pp 331–376 ^ Hantush MS (1960) Modification of the theory of leaky aquifers. J Geophys Res 65(11):3713–3725
WebThe macroscopic constitutive relations of elastic porous media saturated by one or two fluids and saturated fractured porous media can be obtained from the constitutive relations developed in the paper. In the simplest case, the final set of governing equations reduce to Biot's equations containing the same parameters as of Biot and Willis.
WebBiot, M. and Willis, D. (1957) The Elastic Coefficient of the Theory of Consolidation. Journal of Applied Mechanics, 24, 594-601. has been cited by the following article: TITLE: Mathematical Modeling of Porous Medium for Sound Absorption Simulations: Application of Multi-Scales and Homogenization how much money did pacman makeWebJun 10, 2013 · Fig 7: Biot stress coefficient based on th e Biot-Willis relation (see Eq. 1 3 and 14) from measurements of the p - and s-wave . … how much money did pathaan make in 10 daysWeb毕渥数（Biot数）为传热学术语，记为Bi。. 与傅里叶数（Fo）、普朗特数（Pr）、努塞尔数（Nu）等无量纲数一样都是传热学重要参量。. 定义：表征固体内部单位导热面积上的 … how much money did pfizer make in 2021WebOct 10, 2004 · ABSTRACT. Effective stress is a key concept in determining reservoir pore pressures from seismic velocity data. It is usually defined as the difference, ?P, between confining (overburden) pressure, Pc, and pore pressure, Pp, . However a more general definition is s'=Pc, - nPp, where n, is an effective stress coefficient which can be derived … how much money did paul blart mall cop makeWebBiot-Willis系数是热传导中的一个重要参数，用于描述固体与流体界面处的热传导过程。. 它是由法国物理学家Jean-Baptiste Biot和英国物理学家John Willis于1ቤተ መጻሕፍቲ ባይዱ17年提出的。. Biot-Willis系数（通常用字母Bi表示）定义为固体内部传热的比率与固体与 ... how do i pay extra national insuranceWebFeb 1, 2010 · In a linear-elastic isotropic sediment β may ideally be calculated from sonic velocity (compressional velocity, V p and shear velocity, V s) and bulk density ρ b (Biot and Willis, 1957): M = ρ b V p 2 μ = ρ b V s 2 K = M − 4 3 G β = 1 − K dry K 0 where, M, μ and K are the compressional, shear and bulk modulus of the rock respectively. how do i pay dstv onlineWebApr 7, 2008 · This paper is devoted to the experimental determination of distinctive macroscopic structural (porosity, tortuosity, and permeability) and mechanical (Biot–Willis elastic constants) properties of human trabecular bones. Then, the obtained data may serve as input parameters for modeling wave propagation in cancellous bones using Biot’s … how do i pay disney plus