Biot willis coefficient
WebOct 16, 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 … WebAug 1, 2024 · The Biot-Willis coefficient (b) is associated with skeleton and drained bulk modules, and it is defined as (7) b = 1 − K d K s The fully coupled hydro and geomechanical governing equations after combining equation (2) , (5) is presented in the simplified form (8) 1 M ∂ p ∂ t − ∇ · ( λ m Φ m ) + b ∂ ε v ∂ t = 0
Biot willis coefficient
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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 … WebJan 7, 2024 · A Biot–Willis coefficient is found to significantly influence both the pressure and stress distribution right from the wellbore to the reservoir boundary. Maximum effective stresses have been generated in the vicinity of the wellbore in the reservoir at a high Biot–Willis coefficient of 0.9. Thus, the present work clearly projects that a ...
WebMay 14, 2024 · The Biot or the Biot–Willis effective stress coefficient (Biot 1941; Biot and Willis 1957) is an essential geomechanical parameter of compressible and deformable porous rocks defined at a macroscopic scale. 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 unit: 1) or structural form factor (high-frequency limit), is the porosity (SI unit: 1), is the permeability (SI unit: m 2 ) related to the flow resistivity, and is the drained ...
WebPoromechanics is a branch of physics and specifically continuum mechanics and acoustics that studies the behaviour of fluid-saturated porous media. A porous medium or a porous … WebJun 10, 2024 · Abstract The theory of the deformation of a porous elastic solid containing a compressible fluid has been established by Biot. In this paper, methods of measurement …
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 …
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 … graphic designer business card inspirationWebJul 10, 2024 · Biot coefficient and elastic moduli are typically assumed to have a constant value for analyzing poroelastic effects of fluid injection. To investigate the stress–pore pressure dependency of Biot coefficient and elastic moduli, we conducted a series of laboratory experiments on a porous dolomite core sample from a reef in Michigan basin. graphic designer business card examplesWebOct 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 … graphic designer business backgroundsWebMay 28, 2024 · Thus, in this study, the Biot’s coefficient was measured as a function of porosity, permeability, and volumetric strain for five Gosford sandstone samples. A triaxial loading system was used to measure rock volumetric strain while pore pressure and confining pressure were varied. ... Biot, M. A., and Willis, D. G. (1957). The elastic ... chiral carbon in histamineWebMar 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 … chiral carbon khan academyWebFeb 1, 2010 · Chalk develops as a result of diagenesis of pelagic calcareous ooze. In a newly deposited ooze sediment, porosity ranges from 60% to 80% but porosity reduces with burial. We studied how different porosity reduction mechanisms change the strength of these deep sea carbonate-rich sediments and effect Biot's coefficient, β.In calcareous … chiral carbon atom meansWebSemantic Scholar extracted view of "THE ELASTIC COEFFICIENTS OF THE THEORY OF CONSOLIDATION" by M. Biot et al. Skip to search form Skip ... , title={THE ELASTIC COEFFICIENTS OF THE THEORY OF CONSOLIDATION}, author={Maurice A. Biot and David G. Willis}, journal={Journal of Applied Mechanics}, year={1957}, volume={24}, … chiral carbon in ring