Numerical investigation of viscous flow instabilities in multiphase heterogeneous porous media

Christou, K.; Radünz, William Corrêa; Lashore, B. O.; Oliveira, Francisco Bruno Souza; Gomes, Jefferson L. M. A.

doi:10.1016/j.advwatres.2018.10.010

Cited by 12 publications

(5 citation statements)

References 37 publications

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“…Figure 4(a) shows the conceptual quadrant model with heterogeneity in permeability. In the studies of Gomes et al and Christou et al, the displacement of oil by water has been done numerically using the CV-FEM method (Gomes et al, 2017;Christou et al, 2019). As shown in Figure 4 (e,f), the flow path and fingering pattern in cell 1 are visible on both sides of the node.…”

Section: Water Flooding In Quadrant Model With Permeability Contrastmentioning

confidence: 97%

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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Section: Water Flooding In Quadrant Model With Permeability Contrastmentioning

confidence: 97%

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

Shiri¹,

Shiri²

2021

MGPB

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“…The porous environments can be applied in wide branches of engineering. [21] , [22] , [23] , [24] , [25] . The problems of studying the flow of nanofluids inside different shapes of cavities require specialized discretization techniques and lower computational costs.…”

Section: Introductionmentioning

confidence: 99%

Circular rotation of different structures on natural convection of nanofluid-mobilized circular cylinder cavity saturated with a heterogeneous porous medium

Aly,

Raizah,

Chamkha

2023

Heliyon

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“…A variety of mesh-generated techniques, such as the boundary element method [13], finite element method [14,15], finite volume method [16,17], and finite difference method [18,19], have been proposed to analyze heterogeneous layered porous media. In contrast with conventional mesh-generated techniques, meshfree approaches have attracted much attention in recent years because of their characteristics of simplicity, meshfree, and the capability to deal with engineering problems with complex geometry [20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method

Hong

Liu

et al. 2021

Applied Sciences

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In this study, we developed a novel boundary-type meshless approach for dealing with two-dimensional transient flows in heterogeneous layered porous media. The novelty of the proposed method is that we derived the Trefftz space–time basis function for the two-dimensional diffusion equation in layered porous media in the space–time domain. The continuity conditions at the interface of the subdomains were satisfied in terms of the domain decomposition method. Numerical solutions were approximated based on the superposition principle utilizing the space–time basis functions of the governing equation. Using the space–time collocation scheme, the numerical solutions of the problem were solved with boundary and initial data assigned on the space–time boundaries, which combined spatial and temporal discretizations in the space–time manifold. Accordingly, the transient flows through the heterogeneous layered porous media in the space–time domain could be solved without using a time-marching scheme. Numerical examples and a convergence analysis were carried out to validate the accuracy and the stability of the method. The results illustrate that an excellent agreement with the analytical solution was obtained. Additionally, the proposed method was relatively simple because we only needed to deal with the boundary data, even for the problems in the heterogeneous layered porous media. Finally, when compared with the conventional time-marching scheme, highly accurate solutions were obtained and the error accumulation from the time-marching scheme was avoided.

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Numerical investigation of viscous flow instabilities in multiphase heterogeneous porous media

Cited by 12 publications

References 37 publications

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

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

Circular rotation of different structures on natural convection of nanofluid-mobilized circular cylinder cavity saturated with a heterogeneous porous medium

Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method

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