Biot coefficient
WebJun 29, 2024 · It can be observed from Fig. 6 that, on average, for sandstones and limestones the Biot coefficient is equal to 0.75 and for the marbles-granite group the Biot coefficient can be lower and in the ... WebBiot 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 …
Biot coefficient
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WebRefresher of Biot’s static poroelasticity model Biot’s dynamic poroelastic model from the non-equilibrium filtration theory Low frequency reflections from a plane interface … WebJan 4, 2024 · Poroelasticity Material Properties. The constitutive law for an isotropic, poroelastic material is. σ = C ε − α d p. where C is the compliance tensor, α is the poroelasticity Biot coefficient (dimensionless from 0 to 1) and d p = p − p 0 is difference in pore pressure relative to the reference pore pressure.
WebJan 1, 2024 · The Biot's coefficient values the effect of the pore pressure on the total stress that is measured statically and dynamically. This static and dynamic Biot's coefficient was measured simultaneously on porous dolomite samples. Also, experiments have been carried out in two conditions of ambient and reservoir (90 °C) conditions. The … WebJun 11, 2024 · The objective of this paper is to develop an easy‐to‐use correlation for estimating the Biot coefficient. This is important because the Biot coefficient plays an …
WebMay 28, 2024 · Theoretically, pore pressure changes coupled with stress variations in hydrocarbon reservoirs are a function of the Biot’s coefficient, the elastic properties of the rock and the reservoir shape. Thus, in this study, the Biot’s coefficient was measured as a function of porosity, permeability, and volumetric strain for five Gosford sandstone ... WebMay 1, 2024 · @article{osti_1375031, title = {Evolution of permeability and Biot coefficient at high mean stresses in high porosity sandstone}, author = {Ingraham, Mathew D. and Bauer, Stephen J. and Issen, Kathleen A. and Dewers, Thomas A.}, abstractNote = {A series of constant mean stress (CMS) and constant shear stress (CSS) tests were …
WebAug 1, 2024 · The knowledge of Biot’s effective stress coefficient is of particular importance to simulate the effects of pore pressure variations during reservoir depletion and injection operations. Direct ...
WebNov 3, 2024 · Abstract. Predicting the behavior of a saturated rock with variations in pore fluid pressure during geo-energy production and storage, deep geological disposal of nuclear wastes, etc. with skeletal mechanical behavior in the linear elastic range is carried out using the isothermal theory of poroelasticity that incorporates Biot's effective stress … how to scare birds away from carWebJul 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. north natomas tmaWebJan 19, 2016 · While it is sometimes necessary to use a more exact effective stress law in rock (σ ij = S ij – δ ij α P p, where α is Biot’s coefficient and varies between 0 and 1), in most reservoirs it is generally sufficient simply to assume that α = 1. This reduces the effective stress law to its original form (Eq. 2). When expanded, the Terzaghi ... north nashville heritage projectWebMay 1, 2024 · @article{osti_1375031, title = {Evolution of permeability and Biot coefficient at high mean stresses in high porosity sandstone}, author = {Ingraham, Mathew D. and … north national mini storage springfield moWebThe Biot coefficient a is measured as (i) the ratio of increment of fluid content to bulk volumetric strain a = Δζ/Δε v; (ii) the ratio of increment of mean stress to cavity fluid pressure a = DP/Dp under the conditions of zero volumetric strain; and (iii) a = 1- (K/Ks′), which requires the measurement of two other elastic coefficients, K ... how to scare birds away from windowsWebMar 25, 2024 · Biot coefficient (Fig.1). The amplitude difference between the absolute value of the H and the initial stress increases in the horizontal direction of model with the … north nazimabad block fThe Biot number is defined as: $${\displaystyle \mathrm {Bi} ={\frac {h}{k}}L}$$ where: $${\displaystyle {k}}$$ is the thermal conductivity of the body [W/(m·K)]$${\displaystyle {h}}$$ is a convective heat transfer coefficient [W/(m ·K)]$${\displaystyle {L}}$$ is a characteristic length [m] of the … See more The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot (1774–1862). The Biot number is the ratio of the thermal resistance for … See more • Convection • Fourier number • Heat conduction See more The value of the Biot number can indicate the applicability (or inapplicability) of certain methods of solving transient heat transfer problems. For example, a Biot number smaller … See more An analogous version of the Biot number (usually called the "mass transfer Biot number", or $${\displaystyle \mathrm {Bi} _{m}}$$) is also used in mass diffusion processes: See more northnatste