A new model for gas–water two-immiscible-phase transport in fractal-like porous media

Li, Yong; Liang, Yi; Yang, Zhaozhong; Chen, Yu-Song

doi:10.1063/1.4937405

Cited by 7 publications

(3 citation statements)

References 37 publications

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“…In the literature, D T was determined based on the box counting method and two-dimensional images (e.g., Yu and Cheng, 2002) or approximated from pore space fractal dimension, minimum and maximum pore radii, porosity and average tortuosity. The latter was commonly approximated (e.g., Feng and Yu, 2007;Li et al 2015) based on the simplified two-dimensional model of Yu and Li (2004) that allows flow only between square solid particles in an equilateral-triangle arrangement with either the flow path changing with a specific angle that depends on the particle size and pore space, or the streamline direction changes are limited to multiples of 90° (Ghanbarian et al, 2013a). Therefore, a precise and rigorous method for D T estimation is not yet clear and, consequently, the practical application of those models to estimate K sat is questionable.…”

Section: Introductionmentioning

confidence: 99%

Upscaling soil saturated hydraulic conductivity from pore throat characteristics

Ghanbarian

Hunt

Skaggs

et al. 2017

Advances in Water Resources

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Upscaling and/or estimating saturated hydraulic conductivity K sat at the core scale from microscopic/macroscopic soil characteristics has been actively under investigation in the hydrology and soil physics communities for several decades. Numerous models have been developed based on different approaches, such as the bundle of capillary tubes model, pedotransfer functions, etc. In this study, we apply concepts from critical path analysis, an upscaling technique first developed in the physics literature, to estimate saturated hydraulic

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Section: Introductionmentioning

confidence: 99%

Upscaling soil saturated hydraulic conductivity from pore throat characteristics

Ghanbarian

Hunt

Skaggs

et al. 2017

Advances in Water Resources

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“…This TPG makes the Darcy flow gradually transform to a low-velocity, non-Darcy flow when water saturation is gradually increasing. Many researchers have indicated that permeability, water saturation, and pore pressure are controlling parameters for TPG in tight gas reservoirs [23,25,30]. On this sense, we proposed the following formula for TPG:…”

Section: Irreducible Water Saturation and Threshold Pressure Gradientmentioning

confidence: 99%

“…Many scholars have discussed the influence of the complex pore structure on the flow mechanism in the relative permeability model [20][21][22]. For example, Li et al [23] considered some non-interconnected tortuous capillaries in fractal-like porous media and proposed a novel gas-water displacing model. Lei et al [17] developed a relative permeability model in multiscale porous media, which takes lognormal distribution function and residual water saturation into consideration.…”

Section: Introductionmentioning

confidence: 99%

An Improved Relative Permeability Model for Gas-Water Displacement in Fractal Porous Media

Wang

et al. 2019

Water

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Many researchers have revealed that relative permeability depends on the gas-water-rock interactions and ultimately affects the fluid flow regime. However, the way that relative permeability changes with fractal porous media has been unclear so far. In this paper, an improved gas-water relative permeability model was proposed to investigate the mechanism of gas-water displacement in fractal porous media. First, this model took the complexity of pore structure, geometric correction factor, water film, and the real gas effect into account. Then, this model was compared with two classical models and verified against available experimental data. Finally, the effects of structural parameters (pore-size distribution fractal dimension and tortuosity fractal dimension) on gas-water relative permeability were investigated. It was found that the sticking water film on the surface of fracture has a negative effect on water relative permeability. The increase of geometric correction factor and the ignorance of real gas effect cause a decrease of gas relative permeability.Water 2020, 12, 27 2 of 24 relative permeability is equal to 1, which does not agree with the actual fluid flow in porous media. Subsequently, this model was further modified by many scholars. Gates and Leitz [8] integrated the relative permeability from the capillary pressure. Burdine [9] thought that the assumption of capillary parallelism was not accurate and introduced the tortuosity factor into the Purcell model. Mualem [10] proposed an integration method based on the Purcell model. For simplicity, Romm [11] developed a relative permeability model which ignored the phase interference between the gas and water phases. This model is also called the X model. Brooks and Corey [12] introduced a pore-size distribution index to modify the capillary pressure function and proposed a more generalized gas-water relative permeability model. The Brooks-Corey model has been widely used in modeling two-phase flow in complex porous media. Fourar and Lenormand [13] derived a viscous coupling model after integrating Stokes' equation and the effect of viscosity. Combined with momentum balance, viscosity, and cubic law, Chima and Geiger [14] developed a new relative permeability model. After ignoring the capillary pressure, Chima's model became a unique form of the viscous coupling model. Li et al. [15] improved Chima's model through the consideration of the influences of capillary tortuosity and irreducible water saturation on relative permeability. The above relative permeability models have made significant contributions to the prediction of two-phase flow in porous media. They also found that the relative permeability of the gas phase is more susceptible to the geometry of flow channels. However, these relative permeability models did not thoroughly consider the effects of complex pore microstructures on fluid flow.

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A Fractal Model for Oil Transport in Tight Porous Media

et al. 2017

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A new model for gas–water two-immiscible-phase transport in fractal-like porous media

Cited by 7 publications

References 37 publications

Upscaling soil saturated hydraulic conductivity from pore throat characteristics

Upscaling soil saturated hydraulic conductivity from pore throat characteristics

An Improved Relative Permeability Model for Gas-Water Displacement in Fractal Porous Media

A Fractal Model for Oil Transport in Tight Porous Media

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