Fractal structure of pores in clay soil

Ozhovan, M. I.; Dmitriev, I. E.; Batyukhnova, O.G.

doi:10.1007/bf00739059

Cited by 10 publications

(6 citation statements)

References 5 publications

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“…[23][24][25][26] Thus, the microstructures and pore size distributions of porous media have the fractal characters undoubtedly. [27][28][29] Based on the fractal theory, the cumulative size distribution of pores whose sizes are greater than or equal to the size r follows the fractal scaling law.…”

Section: Fractal Theory For Porous Mediamentioning

confidence: 99%

A Novel Fractal Model for Two-Phase Relative Permeability in Porous Media

Lei

Dong

et al. 2015

Fractals

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Multiphase flow in porous media is very important in various scientific and engineering fields. It has been shown that relative permeability plays an important role in determination of flow characteristics for multiphase flow. The accurate prediction of multiphase flow in porous media is hence highly important. In this work, a novel predictive model for relative permeability in porous media is developed based on the fractal theory. The predictions of two-phase relative permeability by the current mathematical models have been validated by comparing with available experimental data. The predictions by the proposed model show the same variation trend with the available experimental data and are in good agreement with the existing experiments. Every parameter in the proposed model has clear physical meaning. The proposed relative permeability is expressed as a function of the immobile liquid film thickness, pore structural parameters (pore fractal dimension D f and tortuosity fractal dimension D T ) and fluid viscosity ratio. The effects of these parameters on relative permeability of porous media are discussed in detail.

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Section: Fractal Theory For Porous Mediamentioning

confidence: 99%

A Novel Fractal Model for Two-Phase Relative Permeability in Porous Media

Lei

Dong

et al. 2015

Fractals

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“…), where the fractal theory considers the complex pore structures as a whole. 12,13 The fractal analysis has an ability to quantitatively characterize the heterogeneity and irregularity of the pore surface by using the parameter of fractal dimension D, in which the fractal dimension D is a ratio providing a statistical index of complexity comparing how detail in a fractal pattern changes with the scale at which it is measured. 12,14 For the characterization of shale gas reservoirs, fractal analyses were carried on many different shale reservoirs, including Niutitang shale from the Sichuan basin (China), 2 Barnett shale from the Worth basin (USA) 15 and Bakken shale from the Williston basin (USA), 16 etc.…”

Section: Introductionmentioning

confidence: 99%

“…[11][12][13] As far as the petroleum and natural gas research field, the fractal investigation is usually used to analyze the pore structures of rock reservoirs (sandstone, coal and shale, etc. ), where the fractal theory considers the complex pore structures as a whole.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Pore Fractal Characteristics Between Marine and Continental Shales

Yao

Liu

et al. 2018

Fractals

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Fractal characterization offers a quantitative evaluation on the heterogeneity of pore structure which greatly affects gas adsorption and transportation in shales. To compare the fractal characteristics between marine and continental shales, nine samples from the Lower Silurian Longmaxi formation in the Sichuan basin and nine from the Middle Jurassic Dameigou formation in the Qaidam basin were collected. Reservoir properties and fractal dimensions were characterized for all the collected samples. In this study, fractal dimensions were originated ¶ Corresponding author. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. 1840016-1Fractals 2018.26. Downloaded from www.worldscientific.com by 13.66.222.141 on 06/19/19. Re-use and distribution is strictly not permitted, except for Open Access articles. J. Liu et al.from the Frenkel-Halsey-Hill (FHH) model with N 2 adsorption data. Compared to continental shale, marine shale has greater values of quartz content, porosity, specific surface area and total pore volume but lower level of clay minerals content, permeability, average pore diameter and methane adsorption capacity. The quartz in marine shale is mostly associated with biogenic origin, while that in continental shale is mainly due to terrigenous debris. The N 2 adsorption-desorption isotherms exhibit that marine shale has fewer inkbottle-shaped pores but more plate-like and slit-shaped pores than continental shale. Two fractal dimensions (D 1 and D 2 ) were obtained at P/P o of 0-0.5 and 0.5-1. The dimension D 2 is commonly greater than D 1 , suggesting that larger pores (diameter >∼ 4 nm) have more complex structures than small pores (diameter <∼ 4 nm). The fractal dimensions (both D 1 and D 2 ) positively correlate to clay minerals content, specific surface area and methane adsorption capacity, but have negative relationships with porosity, permeability and average pore diameter. The fractal dimensions increase proportionally with the increasing quartz content in marine shale but have no obvious correlation with that in continental shale. The dimension D 1 is correlative to the TOC content and permeability of marine shale at a similar degree with dimension D 2 , while the dimension D 1 is more sensitive to those of continental shale than dimension D 2 . Compared with dimension D 2 , for two shales, dimension D 1 is better associated with the content of clay minerals but has worse correlations with the specific surface area and average pore diameter.

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“…In many literature sources, it is indicated that the interior of a real porous medium has fractal characteristics in a certain range of micro to nano scales [23][24][25][26]. Therefore the microstructure and pore size distribution in the pore space of tight sandstones undoubtedly have fractal characteristics [27][28][29].…”

Section: Fractal Theorymentioning

confidence: 98%

Theoretical Study of the Gas Slippage Effect in the Pore Space of Tight Sandstones in the Presence of a Water Phase

Lei

Dong

et al. 2015

Chem Technol Fuels Oils

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Compared with the pore throat radius in tight sandstones, the mean free path of a molecule can no longer be neglected. As a result, the gas slippage effect (the Klinkenberg effect) in tight sandstones is quite significant and must be taken into account. The goal of this work was to use an analytical expression to show the effect of pore space structural parameters and temperature on the gas slippage factor, taking into account water saturation in tight sandstones. The mathematical model including water saturation was derived from fractal theory. The calculations of the gas slippage factor (the Klinkenberg constant) using the proposed model agree well with experimental data presented in the literature. We have also studied the effect of pore space structural parameters and temperature on the gas slippage factor for different water saturation values. The gas slippage factor correlates with the tortuosity fractal dimension of the pore channels for high water saturation. This distinguishes the analytical model obtained from the single-phase model neglecting the effect of water saturation.Compared with the pore throat radius in tight sandstones, the mean free path of a molecule can no longer be negligible and so in tight sandstones, the gas slippage effect must be taken into account. Therefore, the process of gas flow through tight sandstones has attracted attention in planning gas field development [1][2][3][4][5]. It has been proven that the mean free path of a gas molecule is on the same order of

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Fractal structure of pores in clay soil

Cited by 10 publications

References 5 publications

A Novel Fractal Model for Two-Phase Relative Permeability in Porous Media

A Novel Fractal Model for Two-Phase Relative Permeability in Porous Media

Comparison of Pore Fractal Characteristics Between Marine and Continental Shales

Theoretical Study of the Gas Slippage Effect in the Pore Space of Tight Sandstones in the Presence of a Water Phase

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