WebThe Biot model of a fluid-filled porous material is constructed on the conceptual model of a coherent solid skeleton and a freely moving pore fluid (in other words both solid and fluid phases are fully connected). This conceptual picture dictates the choice of the kinematic quantities: a solid displacement vector u
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WebJul 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 … WebJan 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 … sharon minton
Emmanuel Detournay and Alexander H.-D. Cheng - University …
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 11, 2024 · Summary. 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 … WebJun 8, 2009 · Abstract. Deformation of a hydrocarbon reservoir can ideally be predicted by estimating the effective stress acting on it. The effective stress is the difference between the total stress and a fraction (effective stress coefficient) of pore pressure. The effective stress coefficient is thus relevant for studying reservoir deformation and for evaluating 4-D … pop up pool table full size