The influence of surface flow on permeability anisotropy

Kryukov, A. V.; Kurchatov, I. M.; Laguntsov, N. I.

doi:10.1134/s0965544113070098

Cited by 6 publications

(4 citation statements)

References 10 publications

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“…1), and γ is the maximum angle of the takeoff of the molecule from the inner surface of the pore [10] for the angle distribution approximated by Eq. (1).…”

Section: Atmentioning

confidence: 99%

“…The number of collisions between the molecules and the surface per unit time, N coll , in the case of dis (1) can be determined via the pro cedure described in our earlier publication [10] under the assumption that the molecule concentration inside the membrane is a linear function of the coordinate. The dependence of the number of collisions in the channel on the interaction parameter in the white noise model can be written as…”

Section: Atmentioning

confidence: 99%

“…The discovery and investigation of asymmetric phenomena in transmembrane gas transport (aniso tropic permeability of a membrane, or the so called gas diode, and dependence of the gas permeability of a membrane and of the rate of catalytic reactions on the gas flow direction) were reported in earlier works [1][2][3][4][5][6][7][8][9][10]. These phenomena can occur in asymmetric nanopo rous membranes, specifically, in membranes consist ing of two or more layers differing in porosity and pore size [7].…”

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Anisotropic gas transport in a bilayer membrane in the free molecular flow regime

2012

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The discovery and investigation of asymmetric phenomena in transmembrane gas transport (aniso tropic permeability of a membrane, or the so called gas diode, and dependence of the gas permeability of a membrane and of the rate of catalytic reactions on the gas flow direction) were reported in earlier works [1-10]. These phenomena can occur in asymmetric nanopo rous membranes, specifically, in membranes consist ing of two or more layers differing in porosity and pore size [7]. It was demonstrated that it is impossible to explain the observed anisotropy in the framework of classical theory [11]. It was established that these phe nomena are observed when the free molecular compo nent of the transmembrane flow is dominant and that the main cause of these phenomena is the specific interaction of gas molecules with pore walls in the membrane. In many porous structures, the domina tion of the free molecular component of the flow is observed even in the transitional flow regime [12].Here, we suggest a model that allows one to calcu late anisotropic gas transport in asymmetric nanopo rous membranes. We have calculated gas transport across a track membrane in the free molecular flow regime. Track membranes are of particular interest since their pores are straight and cylindrical. We will refer to our earlier experimental data concerning asymmetric gas transport in track membranes [8]. Two types of membranes were examined. In type 1 mem branes, the pores have an asymmetric shape: they con sist of a cylindrical channel 50 nm in diameter and 11.5 µm in length and a narrower channel 30 nm in diameter and 0.5 µm in length. In type 2 membranes, the pores are symmetric: they are cylindrical channels 50 nm in diameter and 12 µm in length ( Table 1). The preparation and composition of the membranes were described earlier [13].For simpler calculations, we will assume that an asymmetric pore of a membrane consists of two cylin drical channels whose radii are equal to the pore radii in the two membrane layers (Fig. 1). The interaction of molecules with the pore surface inside the channel will be described in terms of the white noise model [9], according to which the distribution of molecules over the angles of their takeoff from the pore surface, ω(θ), is given by the expression (1) where A is the interaction parameter in the white noise model and θ is the takeoff angle of the molecule with respect to the normal to the surface.Abstract-Asymmetric phenomena associated with gas transport in the free molecular flow in multilayer membranes have been investigated. Bilayer track membranes have been examined. A model describing aniso tropic gas transport across a multilayer membrane has been constructed and analyzed. The interaction parameters characterizing the effect of the geometry of the inner surface of the pores on the gas flow through the membrane have been determined.

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“…1), and γ is the maximum angle of the takeoff of the molecule from the inner surface of the pore [10] for the angle distribution approximated by Eq. (1).…”

Section: Atmentioning

confidence: 99%

Section: Atmentioning

confidence: 99%

mentioning

confidence: 99%

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Anisotropic gas transport in a bilayer membrane in the free molecular flow regime

2012

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“…Reservoir water/oil displacement in heterogeneous porous media has been investigated in large and pore-scales, but fewer studies are done in mesoscale, i.e. centimetre-scale (Kryukov et al, 2013;Mehmani and Balhoff, 2015;Yilbas et al, 2017;Golparvar et al, 2018;Shiri et al, 2018). The evaluation of the nodal flow near the wellbores is challenging when acids or remedial fluids with an overbalanced pressure are pushed into the formation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Fluid Flow Instabilities in Pore-Scale With Heterogeneities in Permeability and Wettability

Shiri¹,

Shiri²

2021

MGPB

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Quadrant geometry with permeability and wettability contrast occurs in different events, such as faults, wellbore damage, and perforation zones. In these events, understanding the dynamics of immiscible fluid displacement is vital for enhanced oil recovery. Fluid flow studies showed that viscous fingering occurs due to viscous instabilities that depend on the mobility of fluids and capillary forces. Besides, the porous domain heterogeneity is also effective on the formation of fingering. So, the purpose of the current research is to numerically investigate the effect of heterogeneity in wettability and permeability, and flow properties in Saffmann-Taylor instabilities. Numerical simulations with different flow rates in the permeability contrast model illustrated the nodal crossflow, growth of viscous fingering in the nodal part, and bypass flow in the second zone. In the wettability contrast model, a capillary fingering pattern is observed and fluid patches are isolated because of capillary force and the end effects are trapped within the quadrant. Moreover, the consequences of wettability on apparent wettability that alters the fluid-front pattern and displacement efficiency are shown.

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