A Capillary Bundle Model Based on Aperture’s Exponential Distribution and its Application in Porous Media’s Mono Direct Percolation

2012 ◽  
Vol 594-597 ◽  
pp. 2481-2485 ◽  
Author(s):  
Xiao Dong Ju ◽  
Wen Juan Feng ◽  
Yu Jun Zhang ◽  
Zheng Sheng Zou

The permeability and changing characters following variation of physicochemical environment outside of porous media like rock and soil are very important for all kind of civil engineering. But until to now, most theories of them are based on phenomenological method, and they cannot interpret the seepage traits and the variation properties induced by environment changing essentially. The author based on the predecessor’s work which consider that pore number obey exponential and built a capillary bundle model to depict the microscopic peculiarity of porous media seepage. The effect of water temperature, the upper limit of Darcy Law, flow rate beyond Darcy Law’s upper limit, and the infection of porosity on permeability etc issues were discussed theoretically with this model. At last, an instance was calculated with this model for its permeability coefficient and critical hydraulic gradient, and at the end the calculation results were discussed.

Fractals ◽  
2015 ◽  
Vol 23 (03) ◽  
pp. 1530001 ◽  
Author(s):  
PENG XU

Fractal model provides an alternative and useful means for studying the transport phenomenon in porous media and analyzing the macroscopic transport properties of porous media, as fractal geometry can successfully characterize disordered and heterogeneous geometrical microstructures of porous media on multi scales. Recently, fractal models on porous media have attracted increasing interests from many different disciplines. In this mini-review paper, a review on fractal models for number-size distribution in porous media is made, and a unified fractal model to characterize pore and particle size distributions is proposed according to the statistical fractal property of the complex microstructure in porous media. Using the fractal scaling laws for pore and fracture size distributions, a fractal capillary bundle model and a fractal tree-like network model are presented and summarized for homogenous and fractured porous media, respectively. And the applications of the fractal capillary bundle model and fractal tree-like network model for analysis of transport physics in porous media are also reviewed.


2016 ◽  
Vol 53 (1) ◽  
pp. 49-58 ◽  
Author(s):  
Lanlan Jiang ◽  
Yu Liu ◽  
Ying Teng ◽  
Jiafei Zhao ◽  
Yi Zhang ◽  
...  

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Abdellatif Agouzal ◽  
Karam Allali ◽  
Siham Binna

Stream function-vorticity finite element formulation for incompressible flow in porous media is presented. The model consists of the heat equation, the equation for the concentration, and the equations of motion under the Darcy law. The existence of solution for the discrete problem is established. Optimal a priori error estimates are given.


2018 ◽  
Vol 29 (02) ◽  
pp. 1850019 ◽  
Author(s):  
X.-H. Tan ◽  
C.-Y. Liu ◽  
X.-P. Li ◽  
H.-Q. Wang ◽  
H. Deng

A stress sensitivity model for the permeability of porous media based on bidispersed fractal theory is established, considering the change of the flow path, the fractal geometry approach and the mechanics of porous media. It is noted that the two fractal parameters of the porous media construction perform differently when the stress changes. The tortuosity fractal dimension of solid cluster [Formula: see text] become bigger with an increase of stress. However, the pore fractal dimension of solid cluster [Formula: see text] and capillary bundle [Formula: see text] remains the same with an increase of stress. The definition of normalized permeability is introduced for the analyzation of the impacts of stress sensitivity on permeability. The normalized permeability is related to solid cluster tortuosity dimension, pore fractal dimension, solid cluster maximum diameter, Young’s modulus and Poisson’s ratio. Every parameter has clear physical meaning without the use of empirical constants. Predictions of permeability of the model is accordant with the obtained experimental data. Thus, the proposed model can precisely depict the flow of fluid in porous media under stress.


2016 ◽  
Vol 25 (2) ◽  
pp. 096369351602500 ◽  
Author(s):  
Kan Jin ◽  
Cao Wei

A micro-fracture model is presented to investigate mechanics properties of porous media such as cement paste on basis of micromechanics theory and fracture theory. Relationships between mechanics properties of porous media and the parameters of pores such as shape, size, and porosity are analysed by this model. Calculation results show that, to a hypothetic porous media with same porosity, the ultimate strength and elastic properties are reduced with an increase of average pore diameter. Nano-scale pores have little effect on the ultimate strength of this porous media while the micron-scale pores have great effect on it. The stress-strain relationship of this porous media with the micron-scaled pores is nonlinear obviously. The results also show that the ultimate strength and elastic properties of the porous media are reduced with an increase of the porosity and shape parameter. Mechanics properties of a cement paste with water cement ratio of 0.5 are tested. The calculation results from the model are in agreement with the experimental results.


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