Radial permeability of fractured porous media by Monte Carlo simulations

Xu, Peng; Yu, Bo; Qiao, Xianwu; Qiu, Shuxia; Jiang, Zhouting

doi:10.1016/j.ijheatmasstransfer.2012.10.040

Cited by 60 publications

(28 citation statements)

References 25 publications

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“…1,2,4,7,8,11,13,[18][19][20] This means that the fractal theory can be used to predict the capillary pressure and water relative permeability of porous media. Besides, the pore size distribution and tortuosity of capillaries have also been proven to follow the fractal scaling laws, 2,4,8,18 i.e. The transfer routes of water in unsaturated porous rocks have fractal characteristics and can be described as random fractal curves.…”

Section: Fractal Characteristics Of Unsaturated Porous Rocksmentioning

confidence: 99%

“…The capillary pressure (P c ) and relative permeability (k rw ) to water fluid flow in porous rocks are two key parameters to be considered in many fields including soil science, 1-3 reservoir engineering, 4-6 subsurface environmental engineering [7][8][9][10] and chemical engineering. [11][12][13][14][15] Past studies [15][16][17][18][19] have shown that the water flow processes in unsaturated porous rocks is complex and dependent on the complexity of the microstructure of rocks.…”

Section: Introductionmentioning

confidence: 99%

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A Fractal Model for Water Flow Through Unsaturated Porous Rocks

et al. 2018

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In this work, considering the effect of porosity, pore size, saturation of water and tortuosity fractal dimension, an analytical model for the capillary pressure and water relative permeability is derived in unsaturated porous rocks. Besides, the formulas of calculating the capillary pressure and water relative permeability are given by taking into account the fractal distribution of pore size and tortuosity of capillaries. It can be seen that the capillary pressure for water phase decreases with the increase of saturation in unsaturated porous rocks. It is found that the capillary pressure for water phase decreases as the tortuosity fractal dimension decreases. It is further seen that the capillary pressure for water phase increases with the decrease of porosity, and at low porosity, the capillary pressure increases sharply with the decrease of porosity. Besides, it can be observed that the water relative permeability increases with the increase of saturation in unsaturated porous rocks. This predicted the capillary pressure and water relative permeability of unsaturated porous rocks based on the proposed models which are in good agreement with the experimental data and model predictions reported in the literature. § 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. 1840015-1 B. Xiao et al.The proposed model improved the understanding of the physical mechanisms of water flow through unsaturated porous rocks.

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Section: Fractal Characteristics Of Unsaturated Porous Rocksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

et al. 2018

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“…They also carried out MonteCarlo simulation on the radial flow in fractured porous media based on the fractal capillary bundle model and indicated that the effective radial permeability relates to the geometrical parameters of well and size distribution of fractures. 19 According to the fractal dual-domain model by Xu et al, the starting pressure gradient for Bingham fluids, capillary pressure effect, relative permeability, gas permeability, gas diffusion coefficient and transient flow of fractured porous media have also been discussed. [20][21][22][23] Jafari and Babadagli [24][25][26] found that the equivalent fracture network permeability is determined by the fractal properties of fracture networks; they presented a permeability expression with multiple regression analysis of random fractures by the fractal geometry and percolation theory.…”

Section: Introductionmentioning

confidence: 99%

Effective Permeability of Fractured Porous Media With Fractal Dual-Porosity Model

Liu

Sasmito

et al. 2017

Fractals

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As natural fractures show statistically fractal scaling laws, fractal geometry has been proposed and applied to model the fracture geometry and to study the hydraulic properties of fractured porous media. In this paper, a fractal dual-porosity model is developed to study the single-phase fluid flow through fractured porous media. An analytical expression for effective permeability of fractured porous media is derived, which depends on the fractal dimension and fracture aperture. The effect of fractal dimensions for fracture aperture distribution and tortuosity, the ratio of minimum to maximum fracture apertures and fracture fraction on the effective permeability have been discussed. In addition, a power law relationship between the effective permeability and fracture fraction is proposed to predict the equivalent hydraulic properties of fractured porous media. Compared with empirical formulas for effective permeability, the present fractal dual-porosity model can capture the statistical characteristics of fractures and shed light on the transport mechanism of fractured porous media.

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“…Fractal theory has been used to describe kinds of physical phenomenon in porous media, [16][17][18][19][20][21][22][23][24][25] such as the seepage characters of transient flow, [26][27][28] capillary imbibition, 29,30 non-Darcy flow, 31-33 thermal conductivity. 34 and multiphase flow.…”

Section: Introductionmentioning

confidence: 99%

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

Zhang

Tan

et al. 2017

Fractals

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Because of the low permeability, multi-stage hydraulic fractured horizontal wells (MHFHWs) occupy a dominant position among production wells in tight gas reservoir. However, net present value (NPV) estimation method for MHFHW in tight gas reservoirs often ignores the effect of heterogeneity in microscopic pore structure. Apart from that, a new fractal model is presented for NPV of MHFHW, based on the fractal expressions of formation parameters. First, with the aid of apparent permeability model, a pseudo pressure expression considering both reservoir fractal features and slippage effect is derived, contributing to establish the productivity model. Secondly, economic assessment method is built based on the fractal productivity model, in order to obtain the NPV of MHFHW. Thirdly, the type curves are illustrated and the influences of different fractal parameters are discussed. The pore fractal dimensions D f and the capillary tortuosity fractal dimensions D T have significant effects on the NPV of an MHFHW. Finally, the proposed model in this paper provides a new methodology for analyzing and predicting the NPV of an MHFHW and may be conducive to a better understanding of the optimal design of MHFHW.

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Radial permeability of fractured porous media by Monte Carlo simulations

Cited by 60 publications

References 25 publications

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

Effective Permeability of Fractured Porous Media With Fractal Dual-Porosity Model

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

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