Biot coefficient

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 …

-Biot coefficient measurements Download Table

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 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. 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 … phillips jumbo lump crab cake recipe https://heritagegeorgia.com

On the Poroelastic Biot Coefficient for a Granitic Rock - MDPI

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, … WebFurthermore, 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 ... WebMay 19, 2024 · However, the area-averaged overall cooling effectiveness uniformity coefficient depends on the Biot number. Film cooling is widely applied as an effective … phillip s johnson company huntington wv

A Simple Practical Method To Determine The Biot Coefficient For ...

Category:Biot Coefficient :: ResInsight

Tags:Biot coefficient

Biot coefficient

Machines Free Full-Text Conjugate Heat Transfer Simulation of ...

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 ... 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 …

Biot coefficient

Did you know?

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 ... 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 …

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 … 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 ...

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. WebFeb 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 …

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 ...

WebThe time-derivative terms of poroelasticity are (1) where is the Biot modulus: (2) is the fluid porepressure, is the Biot coefficient, is the volumetric strain, is the porosity, is the solid (drained) bulk modulus, and is the fluid bulk modulus. Evidently from Eq. phillips kiln services usaWebMay 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 … phillips knitting millWebRefresher of Biot’s static poroelasticity model Biot’s dynamic poroelastic model from the non-equilibrium filtration theory Low frequency reflections from a plane interface … phillips kiddy\\u0027s kingdomphillips junior college gulfport msWebMay 28, 2024 · For the investigated samples, measured liquid permeabilities were in the range of 7–10 mD and Biot’s coefficients were 0.84–0.91. This is consistent with similar investigations by other researchers in which measured Biot’s coefficients were in … phillip sizemore sermonsWebJun 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 ... phillips jumbo crab meatWebFeb 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. phillips kerr obituary 2023