Biot-willis parameter
WebFeb 18, 2005 · This result is the starting point for new methods of estimation, including generalizations of the coherent potential approximation, differential effective medium theory, and two explicit schemes. Results are presented for estimating drained shear and bulk modulus, the Biot–Willis parameter, and Skempton’s coefficient. Webavailable for Biot-Willis parameter and Skempton’s coefficient. If, in addition, the permeability of these two types of layers are very different, then double-porosity modeling can also be pursued and this also gives exact results for two components. The exact results do not predict the drained constants, but the
Biot-willis parameter
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WebOct 14, 2014 · Some of the poroelastic parameters increase and the others decrease with the effective stress, where the effective stress dependency is much more significant at effective stresses of < 10MPa. The remarkable difference between the results of the two sandstones is inverse effective stress dependencies in Biot-Willis coefficient, which may … WebMay 22, 2024 · 式中:Gf——流体的体积模量,GPa;Gs——基质的体积模量,GPa;αB——Biot‐Willis 系数。 联合式(4)、式(5)、式(6)可得基质中流体渗流的控制方程为. 式中 ∂εvol/∂t——基质体积应变的变化率。 可以将公式(8)等号右边项视为孔隙空间的收缩速率。
WebSkempton’s coefficient (ratio of pore pressure increment to mean stress increment under undrained conditions) and the Biot-Willis parameter serve equally well for the … WebMar 7, 2024 · The parameters in Biot’s formulations are modeled as random variables to account for the uncertainty of subsurface geo-properties or further modeled as random fields to consider spatial variability.
WebJun 1, 2004 · Data from triaxial deformation experiments on quartz sand aggregates are used to illustrate stress-dependent behavior of poroelastic parameters (e.g. the Biot-Willis and Skempton coefficients). WebSkempton’s coefficient (ratio of pore pressure increment to mean stress increment under undrained conditions) and the Biot-Willis parameter serve equally well for the undrained bulk modulus and Poisson’s ratio, because they permit the drained and undrained moduli to be related to each other.
WebApr 29, 2001 · liquid. Gassmann's result for the bulk modulus (Gassmann, 1951) is expressible as 1K^* = 1-BK_dry, where is the Biot-Willis parameter (Biot and Willis, 1957), and Bis Skempton's coefficient (Skempton, 1954) B = /K_dry/K_dry + (1/K_f - 1/K_m). Expanding (Gassmann) for small gives (DEMKr12) to first order in . Note however
WebApplying well-known de nitions from Biot and Willis (1957), the e ective stress (for total volume strain) appearing in (1) is h˙pqi= ˙pq+ pf pq; (3) where the coe cient = 1 K=K0 sis … ione washington trainWebThe parameters of this model are displayed in TABLE 1. The results of the calculations are shown in Figures 1 and 2. The results of the calculations are shown in Figures 1 and 2. … ione washington newsWebApr 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 … ontario march of dimes home and vehicleWebApr 7, 2008 · This paper is devoted to the experimental determination of distinctive macroscopic structural (porosity, tortuosity, and permeability) and mechanical … ione washington weather forecast 14 dayWebThe constants αi in (1a) are known as Biot-Willis parameters while f represents the body force density. The hydraulic conductivity tensors Ki in (1b) are defined as the permeability divided by the viscosity of the i-the network. The constants cp i in (1c) denote the constrained specific storage coefficients, see e.g. [25] and the references ... ontario march of dimesWebBiot 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 … ione washington weather 10 dayWebPredicted values for ventricle displacement as the Biot–Willis parameter, α, is varied showing dilation for α < 1 and contraction for α > 1 (saturated case, β = 1). Source publication +5 Effect... ione wash public house facebook