Biot coefficient
WebJul 11, 2024 · Cement is a poroelastic material rather than elastic material. Early researchers have measured the strengths and elastic properties of oil well cement, but Biot’s effective stress coefficient α remains an important unknown despite its significance to well integrity. Here, we present measurements of α for different types of oil well … WebThe Biot coefficient has an important application value on the drilling engineering & fracturing engineering.The equation, which is used for the log interpretation of Biot coefficient, is dependent on all-wave logging,so its spread is limited. Based on the results of core tests,taking the deformation mechanism of grain-rock and chemical ...
Biot coefficient
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WebThe Biot coefficient can be defined in three ways: Default (Constant value of 1.0) User defined constant for all element. One value for each element based on imported values … 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.
WebMar 1, 2015 · The mathematic expression of Biot’s effective stress is: \sigma_ {\text {eff}} = \sigma_ {\text {total}} - \alpha \cdot p , (1) where σ eff is the effective stress, MPa; σ total … WebAug 1, 2024 · A more practical and affordable method uses sonic log data to calculate dynamic Biot’s coefficient through the equation α= 1-K dry /K 0 (1) where K dry and K 0 are dry rock and effective mineral modulus, …
The 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 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 are described for the determination of the elastic coefficients of the theory. The physical interpretation of the coefficients in various alternate forms is also discussed. Any …
WebPoroelasticity is a field in materials science and mechanics that studies the interaction between fluid flow and solids deformation within a linear porous medium and it is an …
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 … sušičkaWebBiot 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 … bar dikiWebFurthermore, because the Biot coefficient was assumed equal to the porosity, the intact region in the simulation was assigned a Biot coefficient of 0.005, whereas the actual value is 1. This led to an incorrect effective stress. It is worth noting that this example is a special case designed to compare the difference between the proposed ... sušička aeg lavathermWebJun 10, 2013 · The fraction of the pore pressure is termed the Biot effective stress coefficient. A precise determination of the effective stress is needed to predict compaction, since it is the effective stress ... susicka aeg akceWebMay 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 … sušička aeg prosense t6dbg28scWebIn 2008 he was awarded the M. A. Biot medal of Poromechanics from the American Society of Civil Engineers (ASCE) for his outstanding research contributions in extending Biot theory to the acoustics of air filled sound absorbing porous materials by providing models and measuring techniques for the industry. ... 3.5 Reflection coefficient and ... bardi kendariWebJan 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 … susici rucnik 1200 gsm