Study of filtration from the fractal structure in porous media

1991 ◽  
Vol 61 (6) ◽  
pp. 1516-1519 ◽  
Author(s):  
M. M. Khasanov ◽  
I. I. Abyzbaev
Keyword(s):  
Porous Media ◽  
Fractal Structure

MATHEMATICAL MODELS OF GEOFILTRRATION AND GEOMIGRATION IN POROUS MEDIA WITH FRACTAL STRUCTURE

2020 ◽  
Vol 6 (3) ◽  
pp. 21-27
Author(s):  
R.A. Yusupov ◽  
◽  
Sh.S. Axrolov ◽  
N.M. Mirzanova ◽  
A.N. Nasiriddinov ◽  
...  
Keyword(s):  
Porous Media ◽  
Mathematical Models ◽  
Linear Models ◽  
Fractal Structure ◽  
Fractal Structures

In this study 2-D linear models are coming from generalised, Boussinesq eqution describing geofiltration in soils with fractal structures are presented. In this study are presented too mathematical models geomigration of contaminations with groundwater in classical way and in soils with fractal structures.

Research On The Fractal and Percolation Characteristics of Coal-Based Porous Media For Filtration and Impregnation

2021 ◽  
Author(s):  
Qili Wang ◽  
Jiarui Sun ◽  
Yuehu Chen ◽  
Yuyan Qian ◽  
Shengcheng Fei ◽  
...  
Keyword(s):  
Porous Media ◽  
Fractal Structure ◽  
Mercury Intrusion Porosimetry ◽  
Fractal Theory ◽  
Fractal Dimensions ◽  
Infinite Cluster ◽  
Porous Graphite ◽  
Local Aggregation ◽  
Gradual Expansion ◽  
The Difference

Abstract In order to distinguish the difference in the heterogeneous fractal structure of porous graphite used for filtration and impregnation, the fractal dimensions obtained through the mercury intrusion porosimetry (MIP) along with the fractal theory were used to calculate the volumetric FD of the graphite samples. The FD expression of the tortuosity along with all parameters from MIP test was optimized to simplify the calculation. In addition, the percolation evolution process of mercury in the porous media was analyzed in combination with the experimental data. As indicated in the analysis, the FDs in the backbone formation regions of sample vary from 2.695 to 2.984, with 2.923 to 2.991 in the percolation regions and 1.224 to 1.544 in the tortuosity. According to the MIP test, the mercury distribution in porous graphite manifested a transitional process from local aggregation, gradual expansion, and infinite cluster connection to global connection.

Fractal Structure of Hydrodynamic Dispersion in Porous Media

1988 ◽  
Vol 61 (26) ◽  
pp. 2925-2928 ◽  
Author(s):  
Knut Jøgen Måløy ◽  
Jens Feder ◽  
Finn Boger ◽  
Torstein Jøssang
Keyword(s):  
Porous Media ◽  
Fractal Structure ◽  
Hydrodynamic Dispersion

MATHEMATICAL MODELS OF GEOFILTRRATION AND GEOMIGRATION IN POROUS MEDIA WITH FRACTAL STRUCTURE

2020 ◽  
Vol 5 (3) ◽  
pp. 39-45
Author(s):  
R.A. Yusupov ◽  
◽  
Sh.S. Axrolov ◽  
N.M. Mirzanova ◽  
A.N. Nasiriddinov
Keyword(s):  
Porous Media ◽  
Mathematical Models ◽  
Linear Models ◽  
Fractal Structure ◽  
Fractal Structures

In this study 2-D linear models are coming from generalised, Boussinesq eqution describing geofiltration in soils with fractal structures are presented. In this study are presented too mathematical models geomigration of contaminations with groundwater in classical way and in soils with fractal structures

scholarly journals ANALYSIS OF SPONTANEOUS IMBIBITION IN FRACTAL TREE-LIKE NETWORK SYSTEM

Fractals ◽  
2016 ◽  
Vol 24 (03) ◽  
pp. 1650035 ◽  
Author(s):  
CAOXIONG LI ◽  
YINGHAO Shen ◽  
HONGKUI GE ◽  
SHUAI SU ◽  
ZHIHUI YANG
Keyword(s):  
Porous Media ◽  
Fractal Structure ◽  
Diameter Ratio ◽  
Spontaneous Imbibition ◽  
Network System ◽  
Structure Parameters ◽  
Good Parameter ◽  
Long Time ◽  
Fractal Network ◽  
Optimal Diameter

Spontaneous imbibition in porous media is common in nature, imbibition potential is very important for understanding the imbibition ability, or the ability to keep high imbibition rate for a long time. Structure parameters have influence on imbibition potential. This work investigates the process of spontaneous imbibition of liquid into a fractal tree-like network, taking fractal structure parameters into consideration. The analytical expression for dimensionless imbibition rate with this fractal tree-like network is derived. The influence of structure parameters on imbibition potential is discussed. It is found that optimal diameter ratio [Formula: see text] is important for networks to have imbibition potential. Moreover, with liquid imbibed in more sub-branches, some structures of parameter combinations will show the characteristic of imbibition potential gradually. Finally, a parameter plane is made to visualize the percentage of good parameter in all possible combinations and to evaluate the imbibition potential of a specific network system more directly. It is also helpful to design and to optimize a fractal network with good imbibition potential.

scholarly journals ON BOUNDARY VALUE PROBLEM FOR GENERALIZED ALLER EQUATION

2021 ◽  
Vol 26 (2) ◽  
pp. 7-14
Author(s):  
S. Kh. Gekkieva ◽  
M. M. Karmokov ◽  
M. A. Kerefov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Porous Media ◽  
Fractional Order ◽  
Moisture Transport ◽  
Fractional Derivatives ◽  
Fractal Structure ◽  
Goursat Problem ◽  
Order Equation ◽  
Fluid Filtration

The mathematical models of fluid filtration processes in porous media with a fractal structure and memory are based on differential equations of fractional order in both time and space variables. The dependence of the soil water content can significantly affect the moisture transport in capillary-porous media. The paper investigates the generalized Aller equation widely used in mathematical modeling of the processes related to water table dynamics in view of fractal structure. As a mathematical model of the Aller equation withRiemann Liouville fractional derivatives, a loaded fractional order equation is proposed, and a solution to the Goursat problem has been written out for this model in explicit form.

MATHEMATICAL MODELS OF GEOFILTRRATION AND GEOMIGRATION IN POROUS MEDIA WITH FRACTAL STRUCTURE

2020 ◽  
Vol 4 (1) ◽  
pp. 40-46
Author(s):  
R. A. Yusupov ◽  
◽  
S. Axrolov ◽  
N. M. Mirzanova ◽  
A. N. Nasiriddinov ◽  
...  
Keyword(s):  
Porous Media ◽  
Mathematical Models ◽  
Linear Models ◽  
Fractal Structure ◽  
Fractal Structures

In this study 2-D linear models are coming from generalised, Boussinesq eqution describing geofiltration in soils with fractal structures are presented. In this study are presented too mathematical models geomigration of contaminations with groundwater in classical way and in soils with fractal structures

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