scholarly journals Stable and unstable miscible displacements in layered porous media

2019 ◽  
Vol 869 ◽  
pp. 468-499 ◽  
Author(s):  
Japinder S. Nijjer ◽  
Duncan R. Hewitt ◽  
Jerome A. Neufeld
Keyword(s):  
Porous Media ◽  
Numerical Simulations ◽  
Viscosity Ratio ◽  
Flow Direction ◽  
Relative Magnitude ◽  
Theoretical Modelling ◽  
Ambient Fluid ◽  
Miscible Displacements ◽  
Layered Porous Media ◽  
Displacement Processes

The effect of permeability heterogeneities and viscosity variations on miscible displacement processes in porous media is examined using high-resolution numerical simulations and reduced theoretical modelling. The planar injection of one fluid into a fluid-saturated, two-dimensional porous medium with a permeability that varies perpendicular to the flow direction is studied. Three cases are considered, in which the injected fluid is equally viscous, more viscous or less viscous than the ambient fluid. In general it is found that the flow in each case evolves through three regimes. At early times, the flow exhibits the concentration evolves diffusively, independent of both the permeability structure and the viscosity ratio. At intermediate times, the flow exhibits different dynamics including channelling and fingering, depending on whether the injected fluid is more or less viscous than the ambient fluid, and depending on the relative magnitude of the viscosity and permeability variations. Finally, at late times, the flow becomes independent of the viscosity ratio and dominated by shear-enhanced (Taylor) dispersion. For each of the regimes identified above, we develop reduced-order models for the evolution of the transversely averaged concentration and compare them to the full numerical simulations.

A New Method To Simulate the Effects of Viscous Fingering on Miscible Displacement Processes in Porous Media

1984 ◽  
Vol 24 (01) ◽  
pp. 56-64 ◽  
Author(s):  
Shapour Vossoughi ◽  
James E. Smith ◽  
Don W. Green ◽  
G. Paul Willhite
Keyword(s):  
Porous Media ◽  
Dispersion Equation ◽  
Viscosity Ratio ◽  
Laboratory Data ◽  
Viscous Fingering ◽  
Miscible Displacement ◽  
Concentration Profiles ◽  
Flow Function ◽  
Fractional Flow ◽  
Displacement Processes

Abstract Dispersion and viscous fingering are important parameters in miscible displacement. Effects of dispersion on concentration profiles in porous media can be simulated when the viscosity ratio is favorable. The capability to simulate viscous fingering is limited. This paper presents a new method to simulate effects of viscous fingering on miscible displacement processes in porous media. The method is based on the numerical solution of a general form of the convection-dispersion equation. In this equation the convection term is represented by a fractional flow function. The fractional flow function is derived from Darcy's law by using a concentration-dependent average viscosity and relative flow area to each fluid at any point in the bed. The method was extended to the description of a polymer flood by including retention and inaccessible PV. A Langmuir-type model for polymer retention in the rock was used. The resulting convection-dispersion equation for displacement by polymer was solved numerically by the use of a finite-element method with linear basis functions and Crank-Nicholson derivative approximation. History matches were performed on four sets of laboratory data to verify the model:an unfavorable viscosity ratio displacement,stable displacement of glycerol by polymer solution,unstable displacement of brine by a slug of polymer solution, anda favorable viscosity ratio displacement. In general, computed results from the model matched laboratory data closely. Good agreement of the model with experiments over a significant range of variables lends support to the analysis. Introduction Considerable effort has been directed to the study of dispersion phenomena in flow through porous media. Dispersion phenomena become important in EOR techniques, especially those involving the use of chemical slugs such as a micellar/polymer flood. Because the micellar solution is expensive, a carefully designed polymer buffer solution must be injected between the microemulsion and the drive water. This minimizes the effect of mixing and dispersion that otherwise would cause the micellar slug to lose its effectiveness. Aronofsky and Heller1 were among the first to use the diffusion or dispersion model to describe miscible displacement. This employs Fick's law of diffusion to describe the transport of mass within the zone containing both displacing and displaced fluids. The so-called convection-dispersion equation obtained by differential material balance has become generally accepted as the basis for analysis of miscible displacements. The dispersion equation has been solved numerically2–6 as well as analytically6,7 to obtain concentration profiles and dispersion coefficients. However, the prediction fails whenever viscous fingering occurs. Viscous fingering is the result of an unstable displacement of a more viscous fluid by a less viscous fluid. Finger-shaped intrusions of the displacing fluid into the displaced fluid have been observed and reported in the literature8–11 for miscible as well as immiscible displacements.

Phase diagram of stable miscible displacements in layered porous media

1996 ◽  
Vol 36 (2) ◽  
pp. 105-110 ◽  
Author(s):  
D Loggia ◽  
N Rakotomalala ◽  
D Salin ◽  
Y. C Yortsos
Keyword(s):  
Phase Diagram ◽  
Porous Media ◽  
Miscible Displacements ◽  
Layered Porous Media

Dynamic stability characteristics of fluid flow in CO2 miscible displacements in porous media

RSC Advances ◽  
2015 ◽  
Vol 5 (44) ◽  
pp. 34839-34853 ◽  
Author(s):  
Wenzhe Yang ◽  
Liang Zhang ◽  
Yu Liu ◽  
Yuechao Zhao ◽  
Lanlan Jiang ◽  
...  
Keyword(s):  
Magnetic Resonance Imaging ◽  
Porous Media ◽  
Fluid Flow ◽  
Dynamic Stability ◽  
Lattice Boltzmann ◽  
Resonance Imaging ◽  
Miscible Displacements ◽  
Elevated Pressures ◽  
Boltzmann Method ◽  
Displacement Processes

The dynamic stability characteristics of fluid flow in miscible displacement processes were investigated by using a magnetic resonance imaging apparatus and simulated by a lattice-Boltzmann method at elevated pressures.

EFFECT OF ORIENTATION OF STRATA ON MACROSCOPIC SWEEP EFFICIENCY OF WATER/POLYMER FLOODING IN LAYERED POROUS MEDIA

2011 ◽  
Vol 14 (9) ◽  
pp. 761-776 ◽  
Author(s):  
Hamid Emami Meybodi ◽  
Riyaz Kharrat ◽  
Benyamin Yadali Jamaloei
Keyword(s):  
Porous Media ◽  
Polymer Flooding ◽  
Sweep Efficiency ◽  
Layered Porous Media

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

2021 ◽  
Vol 11 (8) ◽  
pp. 3421
Author(s):  
Cheng-Yu Ku ◽  
Li-Dan Hong ◽  
Chih-Yu Liu ◽  
Jing-En Xiao ◽  
Wei-Po Huang
Keyword(s):  
Porous Media ◽  
Time Domain ◽  
Numerical Solutions ◽  
Space Time ◽  
Two Dimensional ◽  
Transient Flows ◽  
Layered Porous Media ◽  
Time Marching ◽  
Time Basis ◽  
Marching Scheme

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.

Understanding Immiscible Natural Gas Huff-N-Puff Seepage Mechanism in Porous Media: A Case Study of CH4 Huff-N-Puff by Laboratory Numerical Simulations in Chang-7 Tight Core

2021 ◽  
Vol 30 (3) ◽  
pp. 2397-2411
Author(s):  
Taiyi Zheng ◽  
Zhengming Yang ◽  
Xiangui Liu ◽  
Yutian Luo ◽  
Qianhua Xiao ◽  
...  
Keyword(s):  
Porous Media ◽  
Natural Gas ◽  
Numerical Simulations

Ultrasonic characterization of air-saturated double-layered porous media in time domain

2010 ◽  
Vol 108 (1) ◽  
pp. 014909 ◽  
Author(s):  
Z. E. A Fellah ◽  
N. Sebaa ◽  
M. Fellah ◽  
F. G. Mitri ◽  
E. Ogam ◽  
...  
Keyword(s):  
Porous Media ◽  
Time Domain ◽  
Ultrasonic Characterization ◽  
Layered Porous Media
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