Biot willis
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 … WebApr 9, 2024 · 对于一般的模型，Biot和Willis在1957年(Biot and Willis,1957) 删除了微均匀性(microhomogeneity)和微各向异性(microisotropy)的假设。由此产生的微观机械(micromechanics)模型包含四个与体积变形相关的独立材料常数，比理想孔隙介质模型多一个。
Biot willis
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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. WebI. Fatt, “The Biot-Willis Elastic Coefficients for a Sandstone,” Journal of Applied Mechanics, Vol. 26, 1959, pp. 296-296. has been cited by the following article: TITLE ... ABSTRACT: Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with ...
WebFeb 26, 2014 · A little elaboration on describing various groups of plausible Biot-Willis coefficients, which arise from the related scales of investigations, seems necessary. At a micromechanics scale, the effective Biot-Willis … WebOct 1, 2024 · Grain bulk modulus and Biot-Willis coeffi cient of a sandstone sample as a function of pressure calculated from its dry and brine saturated moduli [10] using Gassmann equation.
WebMar 7, 2024 · where σ is the total stress; “:” stands for the double-dot tensor product; c denotes the elasticity matrix of solid; ε is the strain tensor; p is the fluid pore pressure; I is the identity matrix; α b is the Biot-Willis coefficient representing the coupling between the stress and the pore pressure. The value of α b is less than unity, indicating the extent to … WebJun 23, 2024 · The Biot-Willis Elastic Coefficients for a Sandstone I. Fatt. I. Fatt University of California, Berkeley, Calif. Search for other works by this author on: This Site. ... A …
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WebJun 8, 2002 · Generalized Biot-Willis parameters. Equation (a11) has already determined the coefficient a11. Thus, (Kutwop) shows that. This relation provides a constraint on the … detering from all quiet on the western frontWebAug 23, 2024 · The Biot–Willis coefficient α→1 shows that the contribution of the grains to the compressibility of the bulk material is insignificant (Rau et al., 2024). By contrast, in consolidated cases K becomes larger, leading to a coefficient that deviates appreciably from 1 (α<1). In such cases, the grain compressibility is a significant ... detering healthWebOct 1, 2004 · Request PDF Effective stress and the Biot-Willis coefficient for reservoir sandstones. Effective stress is a key concept in determining reservoir pore pressures from seismic velocity data. It ... detering cat from peeingWebtive pressure coefficient (Biot, 1955; Christensen & Wang, 1985). Nur & Byerlee (1971) had shown that, for the volumetric bulk compression of a porous media, the coefficientn is equal to the Biot-Willis coefficient (Biot & Willis, 1957), n =1 − K dry K sol (5) where K dry and K sol are the bulk moduli of the dry rock detering in all quiet on the western frontWebThe 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. chunky farmhouse floor lampWebABSTRACT: Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with fluid are … detering orchards oregonWebvalid for the fluid related rocks. Therefore, the Biot’s effective stress coefficient was suggested by Biot and Willis in 1957 to modify the effective stress principle and the … detergent you can mix with bleach