A fractal model to describe the evolution of multiphase flow properties during mineral dissolution

Guarracino, Luis; Rötting, Tobías S.; Carrera, Jesús

doi:10.1016/j.advwatres.2014.02.011

Cited by 59 publications

(64 citation statements)

References 70 publications

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“…(14), whose porous media is assumed to be composed of circular capillaries, and the macroscopic model with the increase of the power index n and the porosity φ. This is also qualitatively in consistence with the practical physical 25 situation. 26 The effect of the tortuosity fractal dimension D T on the effective permeability in Eq.…”

mentioning

confidence: 69%

“…Although Miao's model was in good agreement with 23 numerical simulations, it is not applicable to Non-Newtonian fluids flow through porous media consisting of arbitrary 24 cross-sectional capillaries. In reality, however, most real porous media in the nature is tremendous complex and consists 25 of numerous tortuous capillaries/pores with various shapes. Therefore, it is very meaningful to develop a more general 26 permeability model by considering pores of various geometrical shapes, which can reveal the flow problems of Non- 27 Newtonian fluids in real porous media.…”

Section: Introductionmentioning

confidence: 99%

“…In order to investigate the starting pressure 12 gradient in dual-porosity medium, Wang et al [23] also applied the fractal theory and technique to obtain an analytical 13 expression of the starting pressure gradient for Bingham fluids in porous media embedded with randomly distributed 16 diffusion across nanoscale and microscale fibrous media based on fractal theory and capillary model. Luis Guarracino [25] 17 presented a physically-based theoretical model which described the temporal evolution of porosity, saturated and relative 18 permeabilities, retention curve and diffusion coefficient during rock dissolution based on the assumption that rocks 19 consisted of cylinder capillaries with fractal tortuosity and cumulative pore size distribution. However, all the above-20 mentioned models were developed based on porous media composed of a bunch of parallel cylindrical capillaries.…”

Section: Introductionmentioning

confidence: 99%

“…(14) demonstrates that the average flow velocity is related not only to microstructural parameters, the geometry 25 correction factor, and the shape factor function, but also to material constants of power-law fluids and the pressure gradient. 26 Eq.…”

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confidence: 98%

“…The geometry correction factor α is equal to 25 √ π 2 for a capillary with a circular cross section, equal to 1 for a square, equal to 3 1/4 2 for an equilateral triangle. Substituting 26 A = (αλ) 2 into Eq.…”

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confidence: 99%

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A permeability model for power-law fluids in fractal porous media composed of arbitrary cross-section capillaries

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mentioning

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 98%

mentioning

confidence: 99%

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A permeability model for power-law fluids in fractal porous media composed of arbitrary cross-section capillaries

Wang

et al. 2015

Physica A: Statistical Mechanics and its Applications

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Characterization of flow parameters and evidence of pore clogging during limestone dissolution experiments

Luquot

Roetting

Carrera³

2014

Water Resources Research

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Rock dissolution induces changes in texture (porosity, pore-size distribution, or tortuosity) which modify multiphase flow and transport properties (permeability, diffusion coefficient, retention curve). Limestone dissolution will occur during CO 2 storage or acid injection for well stimulation. Therefore, characterizing those changes is essential for understanding flow and transport during and after the CO 2 injection because they can affect the storage capacity, injectivity, and trapping mechanisms. Yet, few published studies evaluate the changes of hydrodynamic properties due to fluid-rock interactions. We report seven dissolution experiments performed on four limestone samples by injecting water with pH ranging from 3.5 to 5.0. Sample porosity, diffusion coefficient, and pore-size distribution were measured before and after each rock attack, which was repeated twice on three of the samples. Permeability was monitored continuously and chemical samples were taken to evaluate calcite dissolution. We find that overall porosity increases over time as expected. But the increase is nonuniform along the sample. At the samples inlets, large pores increase significantly while small pores remain unchanged, which is consistent with wormhole initiation. However, the size of largest pores is reduced at the outlet, which we attribute to clogging by particles dragged from the inlet. As a result, the overall permeability is reduced. Particle dragging is unlikely during supercritical CO 2 storage because head gradients are small, but may be expected in the case of dissolved CO 2 injection or during well stimulation by acid injection. Our results imply that dissolution is highly localized, which will result in a significant increase in capillary trapping.

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A Physically Based Analytical Model to Describe Effective Excess Charge for Streaming Potential Generation in Water Saturated Porous Media

2018

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Among the different contributions generating self‐potential, the streaming potential is of particular interest in hydrogeology for its sensitivity to water flow. Estimating water flux in porous media using streaming potential data relies on our capacity to understand, model, and upscale the electrokinetic coupling at the mineral‐solution interface. Different approaches have been proposed to predict streaming potential generation in porous media. One of these approaches is the flux averaging which is based on determining the excess charge which is effectively dragged in the medium by water flow. In this study, we develop a physically based analytical model to predict the effective excess charge in saturated porous media using a flux‐averaging approach in a bundle of capillary tubes with a fractal pore size distribution. The proposed model allows the determination of the effective excess charge as a function of pore water ionic concentration and hydrogeological parameters like porosity, permeability, and tortuosity. The new model has been successfully tested against different set of experimental data from the literature. One of the main findings of this study is the mechanistic explanation to the empirical dependence between the effective excess charge and the permeability that has been found by several researchers. The proposed model also highlights the link to other lithological properties, and it is able to reproduce the evolution of effective excess charge with electrolyte concentrations.

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A fractal model to describe the evolution of multiphase flow properties during mineral dissolution

Cited by 59 publications

References 70 publications

A permeability model for power-law fluids in fractal porous media composed of arbitrary cross-section capillaries

A permeability model for power-law fluids in fractal porous media composed of arbitrary cross-section capillaries

Characterization of flow parameters and evidence of pore clogging during limestone dissolution experiments

A Physically Based Analytical Model to Describe Effective Excess Charge for Streaming Potential Generation in Water Saturated Porous Media

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