Biot coefficient

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August undefined, 2024

WebJun 12, 2024 · Recently, we reviewed about 90 geomechanical lab reports (from different labs, different formations, different producing companies) containing extensive … WebThe obtained results ( Table 3) show that the Biot coefficient is stress dependent. The Biot coeftlcient go from 0.84 for a vertical stress of 8.75 MPa to 0.42 for a vertical stress equal to 35 ...

Biot number: Definition, Formula, Significance, For sphere, …

WebThe Biot coefficient is the fluid volume change induced by bulk volume changes in the drained condition. However, there is experimental evidence showing a difference … WebThe Biot's coefficient value has critical effects in the magnitudes of horizontal insitu stresses and effective stresses that governs the rock-mechanical response to the stress and pore pressure ... portfolio fair value hedge accounting

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WebThe 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 ... Web^ Green DH, Wang HF (1990) Specific storage as a poroelastic coefficient. Water Resour Res 26(7):1631–1637 ^ Biot MA (1956) General solutions of the equations of elasticity and consolidation for a porous material. J Appl Mech ASME 78:91–96 ^ Biot MA, Willis DG (1957) The elastic coefficients of the theory of consolidation. J Appl Mech ASME ... 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 stress. … portfolio fiber optic cable

The Biot coefficient for a low permeability heterogeneous …

Measuring the Biot coefficient for a fluid-saturated crystalline …

WebThe Biot coefficient is the fluid volume change induced by bulk volume changes in the drained condition. However, there is experimental evidence showing a difference … 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 … portfolio folder walmartWebFurthermore, 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 ... portfolio flood light reflector 60 lumens

"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 … " - Biot coefficient

Biot coefficient

Rapid Measurement of Biot’s Effective Stress Coefficient for Oil …

WebJul 1, 2024 · Blöcher et al. 23 states that, the non-linear section of the Biot coefficient curve falls between about 0 and 20 MPa effective pressure; however, the present study performed no unload–reload loops at these low pressures because this test series was designed to explore the Biot coefficient at high mean effective stress. Therefore, it is ... 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 …

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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 ... 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 …

WebJun 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 ... WebNov 3, 2024 · This paper shows that both the overall bulk modulus of a porous medium and the Biot coefficient depend on the shape of the pores. Pores with shapes resembling …

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 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 ... 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 …

WebSignificance of biot number in heat transfer: 1) The biot number shows the relation between the internal conductive resistance and convective resistance at the surface of the object. 2) It is used as a criterion for lumped system analysis. 3) The higher value of the biot number indicates that the internal resistance in the object is higher than ...

WebBiot Number. Bi is the Biot number, which is a dimensionless number that represents the ratio of the resistance to heat transfer from the inside of the body to the surface of the body (52). ... where k f is the film mass transfer coefficient, d p is the particle diameter, and D eff is the effective diffusion coefficient. The k f value of bovine ... portfolio fitted bathroom furnitureWebAug 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 ... portfolio flush mount ceiling lightWebJul 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. portfolio financial consultancy swanseaWebFeb 1, 2010 · Biot's coefficient is a measure of sediment stiffness. In the present paper we addressed how this is related to the stress of pore collapse and creep for the calcareous sediments of Kerguelen Plateau. This may point to a route for prediction pore collapse in porous North Sea chalk from data on porosity and seismic velocity. portfolio folder customizedWebMay 14, 2024 · The subsurface rock formations may contain predominantly the intragranular matrix porosity in the sedimentary rocks and predominantly the fracture porosity in the nonporous crystalline rocks (Brace 1980, 1984; Merriam et al. 2007).The Biot or the Biot–Willis effective stress coefficient (Biot 1941; Biot and Willis 1957) is an essential … portfolio folders in bulkWebApr 10, 2024 · The Biot coefficient is an important aspect of the theory of classical poroelasticity since it accounts for the rational estimation of effective stresses in a fluid-saturated porous media. The effective stresses ultimately control the deformations and failure of the skeletal fabric. In principle, the Biot coefficient can be estimated if the ... portfolio fonts free downloadWebThe 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 ... portfolio fonts