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Biot-willis数

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 … 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 …

The Biot-Willis Elastic Coefficients for a Sandstone

http://www.multiphysics.us/poroelasticity.html WebAug 1, 2024 · The dynamic Biot’s coefficient method incorporates the information assembled from analysis of measured logs to generate synthetics, which can then be used with seismic to generate a … onslow county schools pay fees online https://paulmgoltz.com

Estimation of Biot’s effective stress coefficient from well logs

WebHubbert和Willis[1]在1957年通过三轴压缩实验总结出了H-W模式,Matthews和Kelly[2]在1967年提出的修正H-W模式,引入了骨架应力系数代替经验性的上覆压力系数,但骨架应力系数的使用需要大量的实际压裂资料,因此限制了此方法的应用。 ... Anderson[4]在1973年将Biot弹性多孔 ... 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. 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 … iof0182au

Anisotropic Poroelasticity in a Rock With Cracks

Category:arXiv:2112.13618v1 [math.NA] 27 Dec 2024 - ResearchGate

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Biot-willis数

Introduction to the Governing Equations and Scope of Acoustics

WebJun 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) Estimation of the Mechanical Properties of Fluid-Saturated Rocks … 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 …

Biot-willis数

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WebPoromechanics. Poromechanics is a branch of physics and specifically continuum mechanics and acoustics that studies the behaviour of fluid-saturated porous media. [1] … 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 11, 2024 · The Biot–Willis coefficient is assumed constant in space in this formulation. The complex-valued density and wave number are defined as where is the tortuosity (SI … 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

WebFeb 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. 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 …

WebJun 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) …

WebFeb 10, 2024 · A proper correlation of the Biot‐Willis coefficient controlling the bulk volumetric strain is developed using the data available from various sources in a manner … onslow county schools pay stubsWeb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) iof0186auWebFeb 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. ... iof0203auWebApr 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 … onslow county schools priority standardsWeb物理探査. Elastic coefficients in the Biot theory (Biot coefficients) for fluid-saturated porous media are expressed by conventional elastic coefficients and porosity. Practical … iof0184au pdsWebApr 7, 2008 · This paper is devoted to the experimental determination of distinctive macroscopic structural (porosity, tortuosity, and permeability) and mechanical … onslow county schools salary scheduleWebNov 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 ... onslow county schools purchasing