Features of Convection and Diffusion in Porous Media for Binary Systems

Abstract

FIGURE 4: Mole fraction contour lines for different permeabilities: C T = 2.5 × 10 -10 kg/m.s °K. FIGURE 5: Mole fraction vs. x at z = W/2 for different permeabilities: C T = 2.5 × 10 -10 kg/ms.s °K, C P = -1.15 × 10 -15 kg/m.Pa. FIGURE 6: Horizontal gradient of mole fraction in the centre of the reservoir vs. k for different values of C T : C P = -1.15 × 10 -15 kg/m.Pa. 26Journal of Canadian Petroleum Technology FIGURE 10: Mole fraction contour lines for different values of C T : k = 100 md, C P = -1.15 × 10 -15 kg/m.Pa. FIGURE 9: Mole fraction contour lines for different values of C T : k = 10 md, C P = -1.15 × 10 -15 kg/m.Pa.

Modeling of multicomponent diffusions and natural convection in unfractured and fractured media by discontinuous Galerkin and mixed methods

“…In configuration 4 (Figure H), composition distributions show that, unlike in configuration 1, the mole fraction contours take an “S” shape when the fracture permeability increases. Our results are in good agreement with those reported in the work of Ghorayeb and Firoozabad . One advantage of our model is that the decrease in fracture thickness does not impact the computational efficiency.…”

“…Example In this example, we compute the compositional variation in a vertical cross‐section for 2 different mixtures. Our results are compared with the work of Ghorayeb and Firoozabadi . In Example a, we use a ternary mixture of C 1 / C 2 / n C 4 and, in Example b, a 10‐component mixture.…”

Two-Phase Multicomponent Diffusion and Convection for Reservoir Initialization

“…The results from these references show the importance of natural convection, which, in some cases, overrides diffusion and results in a uniform composition. Natural convection also can result in increased horizontal compositional variation, an effect similar to that in a thermogravitational column (Ghorayeb and Firoozabadi 2001;Nasrabadi et al 2006).…”

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

“…The properties of the liquid, such as density (using the Peng Robinson state equation), viscosity and all three diffusion coefficients for pressure diffusion, molecular diffusion and thermal diffusion, are evaluated for each control volume based on a given temperature, pressure and composition at each time step. The calculation of the three diffusion coefficients is clearly explained in Firoozabadi et al [6][7][8] and Chacha et al [17]. Once the properties of the liquid and all three diffusion coefficients are obtained, the continuity equations (1) and (2), pressure equation (5) and the energy equation (6) can be solved with the given boundary conditions.…”

“…Theoretical developments related to the calculation of the molecular, thermal and pressure diffusion coefficients have received much attention by different researchers [2][3][4][5][6][7][8][9][10] in this field. Among these, Shukla and Firoozabadi [2], Riley et al [5] and Ghorayeb et al [6][7][8] using the irreversible thermodynamics theory, were able to extend the work of De Groot [9]. Ghorayeb et al developed an analytical relation between the thermal, molecular and pressure diffusion coefficients and the properties of the fluid mixture, such as the temperature, pressure and composition.…”