Capillary Tube Models with Interaction Between the Tubes [A Note on “Immiscible Displacement in the Interacting Capillary Bundle Model Part I. Development of Interacting Capillary Bundle Model”, by Dong, M., Dullien, F.A.L., Dai, L. and Li, D., 2005, Transport Porous Media]

2010 ◽  
Vol 86 (2) ◽  
pp. 479-482 ◽  
Author(s):  
Douglas Ruth ◽  
Jonathan Bartley
Keyword(s):  
Porous Media ◽  
Capillary Tube ◽  
Immiscible Displacement ◽  
Capillary Bundle Model ◽  
Capillary Bundle

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
Keyword(s):  
Porous Media ◽  
Darcy Law ◽  
Phenomenological Method ◽  
Critical Hydraulic Gradient ◽  
Capillary Bundle Model ◽  
Upper Limit ◽  
Calculation Results ◽  
Capillary Bundle ◽  
Rock And Soil ◽  
Pore Number

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.

A DISCUSSION ON FRACTAL MODELS FOR TRANSPORT PHYSICS OF POROUS MEDIA

Fractals ◽  
2015 ◽  
Vol 23 (03) ◽  
pp. 1530001 ◽  
Author(s):  
PENG XU
Keyword(s):  
Porous Media ◽  
Network Model ◽  
Scaling Laws ◽  
Fractal Model ◽  
Size Distributions ◽  
Capillary Bundle Model ◽  
Fractal Models ◽  
Fracture Size ◽  
Capillary Bundle ◽  
Multi Scales

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.

Permeability estimation of porous media by using an improved capillary bundle model based on micro-CT derived pore geometries

2016 ◽  
Vol 53 (1) ◽  
pp. 49-58 ◽  
Author(s):  
Lanlan Jiang ◽  
Yu Liu ◽  
Ying Teng ◽  
Jiafei Zhao ◽  
Yi Zhang ◽  
...  
Keyword(s):  
Porous Media ◽  
Micro Ct ◽  
Permeability Estimation ◽  
Capillary Bundle Model ◽  
Model Based ◽  
Capillary Bundle

scholarly journals Geometrically derived efficiency of slow immiscible displacement in porous media

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Carl Fredrik Berg ◽  
Per Arne Slotte ◽  
Hamid Hosseinzade Khanamiri
Keyword(s):  
Porous Media ◽  
Immiscible Displacement

A stress sensitivity model for the permeability of porous media based on bi-dispersed fractal theory

2018 ◽  
Vol 29 (02) ◽  
pp. 1850019 ◽  
Author(s):  
X.-H. Tan ◽  
C.-Y. Liu ◽  
X.-P. Li ◽  
H.-Q. Wang ◽  
H. Deng
Keyword(s):  
Porous Media ◽  
Fractal Dimension ◽  
Fractal Theory ◽  
Stress Sensitivity ◽  
Maximum Diameter ◽  
Proposed Model ◽  
Fractal Parameters ◽  
Stress Changes ◽  
Capillary Bundle ◽  
Definition Of

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.

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