Biot-willis数

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August undefined, 2024

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 ... 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 ...

Error Estimation of Euler Method for the Instationary Stokes–Biot ...

WebABSTRACT Within the Biot poroelasticity theory, the effective pressure coefficient for the bulk volume of a fluid-saturated rock and the Biot coefficient are one and the same … WebOct 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 … chisholm university

Biot_number - chemeurope.com

WebFeb 25, 2024 · 1), which is based on the principle of effective stresses (also named theory of poroelasticity, Biot 1955, Biot and Willis 1957): $$\sigma_{ij} ' = \sigma_{ij} - \alpha_{ij} p_{p}$$ (1) where Biot’s tensor α ij describes the influence of fluid pressure on the anisotropic elastic solid matrix. It is the key parameter of poroelastic theory. ... Web张国涛 ,马镇 ,童宝宏 ,焦云龙 ,尹延国 ,刘焜 (1.安徽工业大学先进金属材料绿色制备与表面技术教育部重点实验室,安徽马鞍山 243002;2.安徽工业大学机械工程学院,安徽马鞍山 243002;3.合肥工业大学摩擦学研究所,安徽合肥 230009) http://www.multiphysics.us/poroelasticity.html chisholm valley duplexes

Effective-Stress Coefficients of Porous Rocks Involving ... - OnePetro

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WebA general treatment of Biot’s theory in the range of nonlinear material behaviour and large deformations can be found in Coussy [1991, 2004], where the theory is reformulated using a thermody-namics approach. Fluid inﬁltrated porous media consist of solid skeleton and ﬂuid material that occupies the porous space. WebOct 4, 2024 · Here the tensor B ij represents a generalization of the scalar Skempton coefficient to the anisotropic case. Both the Skempton pore pressure and Biot-Willis effective stress tensors are symmetric, with principal values that can be defined accordingly (Cheng, 1997, 2016). Specific to a transversely isotropic material, the elastic stiffness … chisholm vceWebABSTRACT Within the Biot poroelasticity theory, the effective pressure coefficient for the bulk volume of a fluid-saturated rock and the Biot coefficient are one and the same quantity. The effective pressure coefficient for the bulk volume is the change of confining pressure with respect to fluid-pressure changes when the bulk volume is held constant. The Biot … chisholm va

"Webrather than Biot’s effective stress σ ij= σ el+ B p δ . (2.2) Here B el is elastic Biot coeﬃcient, pis the ﬂuid pressure and σ ijare components of the (total) stress tensor. The standard sign convention for the stresses and ﬂuid pressure is used here: the stresses are positive when they are tensile while the " - Biot-willis数

Biot-willis数

Biot coefficient is distinct from effective pressure coefficient

WebFeb 29, 2024 · ABSTRACT Stress, rock microstructure and frequency are the three key factors that influence the velocities of elastic waves and, hence, are sensitive to the Biot effective stress parameter (α) in porous rocks. The effective stress in an isotropic poroelastic medium relates to applied pressure and pore pressure, with the Biot parameter (α) as a … http://duoduokou.com/python/50806427637233181835.html

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Web.第二节地层破裂压力在井下一定深度裸露的地层，承受流体压力的能力是有限的，当液体压力达到一定数值时会使地层破裂，这个液体压力称为地层破裂压力（Fractureppressure），一般用f表示。使用最广泛的地层破裂压力预测是Hubbert-Willis模式和Haimson-Fairhurst模式。破裂压力数据应用于钻井、修井 ... 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

WebJul 10, 2024 · The modeling results show that the variability of Biot coefficient and elastic moduli should be included in the geomechanical modeling to accurately predict the poroelastic responses of injection (i.e., stress changes and surface uplift). Using a constant stress-independent Biot coefficient elastic moduli, which is the assumption in poroelastic ... WebThe Biot number (Bi) is a dimensionless number used in unsteady-state (or transient) heat transfer calculations. It is named after the French physicist Jean-Baptiste Biot (1774 …

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 …

WebMay 14, 2024 · The subsurface rock formations may contain predominantly the intragranular matrix porosity in the sedimentary rocks and predominantly the fracture porosity in the …

WebBiot系数没有明确的物理意义，也没有精确的确定方法，有人采用实验方法加以确定，实验方法很多，测量的数值也很分散，有大于1的，也有小于0的，很难在实际中加以应用。. 更 … chisholm valley wildlife artWebOct 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 … chisholm vcalWebApr 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 … chisholm valuesWebBiot-Willis coeﬃcients αi can lead to strong coupling of the diﬀerent subsystems and prevent direct exploitation of each subsystem’s properties. In the case of vanishing viscosities (ν i ... chisholm valley duplex homesWebJun 23, 2024 · A Review of Techniques for Measuring the Biot Coefficient and Other Effective Stress Parameters for Fluid-Saturated Rocks Appl. Mech. Rev (March,2024) … graph of arctanWebFeb 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. chisholm vaughn steffensrud elementary schoolWeb7.2 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 … chisholm valley park