Physical and Chemical Dissolution Front Instability in Porous Media

Zhao, Chongbin

doi:10.1007/978-3-319-08461-9

Cited by 47 publications

(52 citation statements)

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“…As a result, solving the upscaled model requires simply using these fitted polynomials for the parameters drastically reducing the computational costs. Our approach should be contrasted with the prevalent approaches of treating porosity as an unknown, defining an ordinary differential equation for its evolution and using engineering correlations for the effective parameters such as permeability, heat conductivity, and diffusion coefficient (see e.g., (Chadam et al 1986(Chadam et al , 1991Zhao 2014)). In contrast to using the heuristic correlations, we use the homogenization approach to provide the polynomial fit.…”

Section: Clogging In Effective Non-isothermal Reactive Porous Media Fmentioning

confidence: 99%

Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Bringedal

Kumar

2017

Transp Porous Med

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For a non-isothermal reactive flow process, effective properties such as permeability and heat conductivity change as the underlying pore structure evolves. We investigate changes of the effective properties for a two-dimensional periodic porous medium as the grain geometry changes. We consider specific grain shapes and study the evolution by solving the cell problems numerically for an upscaled model derived in Bringedal et al (2016). In particular, we focus on the limit behavior near clogging. The effective heat conductivities are compared to common porosity-weighted volume averaging approximations and we find that geometric averages perform better than arithmetic and harmonic for isotropic media, while the optimal choice for anisotropic media depends on the degree and direction of the anisotropy. An approximate analytical expression is found to perform well for the isotropic effective heat conductivity. The permeability is compared to some commonly used approaches focusing on the limiting behavior near clogging, where a fitted power law is found to behave reasonably well. The resulting macroscale equations are tested on a case where the geochemical reactions cause pore clogging and a corresponding change in the flow and transport behavior at Darcy scale. As pores clog the flow paths shift away, while heat conduction increases in regions with lower porosity.

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Section: Clogging In Effective Non-isothermal Reactive Porous Media Fmentioning

confidence: 99%

Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Bringedal

Kumar

2017

Transp Porous Med

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“…The existing studies have also demonstrated that many factors, such as mineral dissolution ratios [16], mechanical dispersion [17], medium/fluid compressibility [12,18], reactive surfaces of particles [19], temperature effect [20,21], and the permeability-porosity relationships [22], can affect the morphological evolution of reaction fronts within porous rocks in the field of the emerging computational geosciences [23]. As a result, the first monograph on this topic was published in the world [24], indicating that a complete theoretical framework has been successfully established on the chemical dissolution-front instability in porous media. In addition, such studies have been extended to investigate physical dissolution of porous media associated with groundwater pollution and contaminant site clean-up problems [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

A Study of Analytical Solution for the Special Dissolution Rate Model of Rock Salt

Yang

Liu

Zang

et al. 2017

Advances in Materials Science and Engineering

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By calculating the concentration distributions of rock salt solutions at the boundary layer, an ordinary differential equation for describing a special dissolution rate model of rock salt under the assumption of an instantaneous diffusion process was established to investigate the dissolution mechanism of rock salt under transient but stable conditions. The ordinary differential equation was then solved mathematically to give an analytical solution and related expressions for the dissolved radius and solution concentration. Thereafter, the analytical solution was fitted with transient dissolution test data of rock salt to provide the dissolution parameters at different flow rates, and the physical meaning of the analytical formula was also discussed. Finally, the influential factors of the analytical formula were investigated. There was approximately a linear relationship between the dissolution parameters and the flow rate. The effects of the dissolution area and initial volume of the solution on the dissolution rate equation of rock salt were computationally investigated. The results showed that the present analytical solution gives a good description of the dissolution mechanism of rock salt under some special conditions, which may provide a primary theoretical basis and an analytical way to investigate the dissolution characteristics of rock salt.

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“…Although acid dissolution fronts can be generated in both subcritical and supercritical acid dissolution systems, they are only unstable in supercritical acid dissolution systems, so that wormholes can only be generated and propagated in such supercritical acid dissolution systems [1][2][3][4]. Engineers and hydrologists appeal to this technique when the efficiency of oil production wells deteriorates due to the deposition of mud and fines at the perforated well pore pipe.…”

Section: Introductionmentioning

confidence: 99%

“…Engineers and hydrologists appeal to this technique when the efficiency of oil production wells deteriorates due to the deposition of mud and fines at the perforated well pore pipe. In geo-environmental engineering [13][14][15][16][17] and petroleum engineering [1][2][3], Zhao and his co-workers have conducted extensive and systematic theoretical studies in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. In particular, many important factors such as the mineral reactive surface area [6], mineral dissolution ratio [8], solute dispersion [9], medium anisotropy [12], temperature effect [18,19], and medium and fluid compressibility [10] have been successfully considered in both theoretical analyses and computational simulations.…”

Section: Introductionmentioning

confidence: 99%

“…Due to the importance of this type of work, it has become an essential part of the emerging field of computational geosciences [4]. The major conclusions of the existing theoretical work are (1) wormholes can only be generated and propagated in a supercritical acid dissolution system in which the Zhao number is greater than the corresponding critical Zhao number of the system; (2) wormholes may have different modes, such as the fundamental mode, the fingering mode and fractal mode, depending on the Zhao number of the supercritical acid dissolution system; (3) by comparing the Zhao number of an acid dissolution system with the corresponding critical Zhao number of the acid dissolution system, the instability of the acid dissolution front in carbonate rocks can be assessed [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

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Parallel simulation of wormhole propagation with the Darcy–Brinkman–Forchheimer framework

Salama

Sun

2015

Computers and Geotechnics

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The acid treatment of carbonate reservoirs is a widely practiced oil and gas well stimulation technique. The injected acid dissolves the material near the wellbore and creates flow channels that establish a good connectivity between the reservoir and the well. Such flow channels are called wormholes. Different from the traditional simulation technology relying on Darcy framework, the new Darcy-Brinkman-Forchheimer (DBF) framework is introduced to simulate the wormhole forming procedure. The DBF framework considers both large and small porosity conditions and should output better simulation results than the Darcy framework. To process the huge quantity of cells in the simulation grid and shorten the long simulation time of the traditional serial code, a parallel code with FORTRAN 90 and MPI was developed. The experimenting field approach to set coefficients in the model equations was also introduced. Moreover, a procedure to fill in the coefficient matrix in the linear system in the solver was described.After this, 2D dissolution experiments were carried out. In the experiments, different configurations of wormholes and a series of properties simulated by both frameworks were compared. We conclude that the numerical results of the DBF framework are more like wormholes and more stable than the Darcy framework, which is a demonstration of the advantages of the DBF framework. Finally, the scalability of the parallel code was evaluated, and we conclude that superlinear scalability can be achieved.

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Physical and Chemical Dissolution Front Instability in Porous Media

Cited by 47 publications

References 0 publications

Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

A Study of Analytical Solution for the Special Dissolution Rate Model of Rock Salt

Parallel simulation of wormhole propagation with the Darcy–Brinkman–Forchheimer framework

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