Biot-willis数
WebThe Biot number (Bi) is a dimensionless number used in unsteady-state (or transient) heat transfer calculations. It is named after the French physicist Jean-Baptiste Biot (1774 … WebHubbert和Willis[1]在1957年通过三轴压缩实验总结出了H-W模式，Matthews和Kelly[2]在1967年提出的修正H-W模式，引入了骨架应力系数代替经验性的上覆压力系数，但骨架应力系数的使用需要大量的实际压裂资料，因此限制了此方法的应用。 ... Anderson[4]在1973年将Biot弹性多孔 ...
Biot-willis数
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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 … 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 …
Webrather than Biot’s effective stress σ ij= σ el+ B p δ . (2.2) Here B el is elastic Biot coefficient, pis the fluid pressure and σ ijare components of the (total) stress tensor. The standard sign convention for the stresses and fluid pressure is used here: the stresses are positive when they are tensile while the WebFeb 1, 2010 · In a linear-elastic isotropic sediment β may ideally be calculated from sonic velocity (compressional velocity, V p and shear velocity, V s) and bulk density ρ b (Biot and Willis, 1957): M = ρ b V p 2 μ = ρ b V s 2 K = M − 4 3 G β = 1 − K dry K 0 where, M, μ and K are the compressional, shear and bulk modulus of the rock respectively.
WebOct 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 … Web张国涛 ,马 镇 ,童宝宏 ,焦云龙 ,尹延国 ,刘 焜 (1.安徽工业大学 先进金属材料绿色制备与表面技术教育部重点实验室,安徽 马鞍山 243002;2.安徽工业大学 机械工程学院,安徽 马鞍山 243002;3.合肥工业大学 摩擦学研究所,安徽 合肥 230009)
WebFeb 25, 2024 · 1), which is based on the principle of effective stresses (also named theory of poroelasticity, Biot 1955, Biot and Willis 1957): $$\sigma_{ij} ' = \sigma_{ij} - \alpha_{ij} p_{p}$$ (1) where Biot’s tensor α ij describes the influence of fluid pressure on the anisotropic elastic solid matrix. It is the key parameter of poroelastic theory. ...
Web^ Biot MA, Willis DG (1957) The elastic coefficients of the theory of consolidation. J Appl Mech ASME 24:594–601 ^ Verruijt A (1969) Elastic storage of aquifers. In: DeWiest RJM (ed) Flow through porous media. Academic, New York, pp 331–376 ^ Hantush MS (1960) Modification of the theory of leaky aquifers. J Geophys Res 65(11):3713–3725 simsbury landing condoshttp://www.multiphysics.us/poroelasticity.html rcn strike outcomeWebABSTRACT Within the Biot poroelasticity theory, the effective pressure coefficient for the bulk volume of a fluid-saturated rock and the Biot coefficient are one and the same quantity. The effective pressure coefficient for the bulk volume is the change of confining pressure with respect to fluid-pressure changes when the bulk volume is held constant. The Biot … rcn spirometryWebOct 18, 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 … rcn staffing crisisWebfrom scipy.special import * import matplotlib.pyplot as plt import numpy as np ## Definition der Parameter für Druckgleichung nach Rudnicki (1986) ## q = 6.0/1000 #Fluidmenge pro Fläche und Zeit [m³/s] rhof = 1000 #Dichte Flüssigkeit [kg/m³] lameu = 11.2*10**9 #Lamé-Parameter, undrained [Pa] lame = 8.4*10**9 #Lamé-Parameter, drained [Pa ... rcn staffingWebOct 31, 2024 · The Biot number helps us answer the following question: How much will the temperature inside a body vary if we heat up a part of its surface? If the Biot number is … simsbury landingWebPoromechanics. Poromechanics is a branch of physics and specifically continuum mechanics and acoustics that studies the behaviour of fluid-saturated porous media. [1] … rcn south yorkshire