scholarly journals A Fractal and Numerical Simulation Coupled Study of Fracture Network during Coal Mining Excavation

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Yanan Gao ◽  
Feng Gao ◽  
Man-chu Ronald Yeung
Keyword(s):  
Fractal Dimension ◽  
Fractal Geometry ◽  
Numerical Study ◽  
Fracture Network ◽  
Mining Engineering ◽  
Deformation Method ◽  
Discontinuous Deformation ◽  
Relationship Of ◽  
The Relationship ◽  
Rock Strata

This paper features a numerical study that is carried out by using discontinuous deformation method (DDA) and fractal geometry. The configurations of rock strata calculated by DDA were imported into a code that is written by using VC++ called “Fractal” to calculate the fractal dimension of the rock strata. As illustrated, a long wall mining case in China was presented. The relationship of the fractal dimension, excavation length, stress, and movement of strata were discussed. The evolution of fractal dimension can be considered as an index of instability or failure. The method proposed in this paper can be employed to predict the period weighting in long wall mining engineering.

Prospecting Direction and Geological Characteristics of the Jiwa Area, Nima County, Tibet

2012 ◽  
Vol 616-618 ◽  
pp. 73-79
Author(s):  
Jian Guo Wang
Keyword(s):  
Gold Deposits ◽  
Comprehensive Analysis ◽  
Geological Characteristics ◽  
Evolution Characteristics ◽  
Low Degree ◽  
Distribution Of Elements ◽  
Vein Type ◽  
Relationship Of ◽  
The Relationship ◽  
Rock Strata

It is a low degree of geological studiedness in Jiwa area, the published synthesis and other reliable data is rare. By adopting similar analogy and comprehensive analysis methods, it found that the content is the highest about Au, As, Sb, Cu and W based on the relationship of the distribution of elements and time, this characteristic has reflected the evolution characteristics of carbonate in Palaeozoic in this area. The content is the highest about Pb, Zn, Ag and Cd in volcanic rock strata in Paleogene-Neogene, it reflected that the characteristic of elements associations related to intermediate-acidic volcanic activity. The content is the highest about Au, Ag and Sn in strata in Quaternary, which would forms gold deposits (spots), it reflected mainly the characteristic of elements mineral enrichment related with weathering origin in period. There are three minerals-ore combination types of wolframite-molybdenum-bismuthinite-chalcopyrite-pyrite quartz vein type, wolframite-molybdenum-bismuthinite-chalcopyrite-pyrite mica-quartz type, tungsten-molybden- limonite ores-oxidised type. Prospecting direction is Au-Pb-Zn hydrothermal filling type, the Cu deposit of sand-type and skarn-type copper polymetallic deposit. It has very important theory and real sense via scientific investigation of main geologic characteristics and metallogenic models research in Jiwa area.

Relationship of Three Rock Parameters

2014 ◽  
Vol 986-987 ◽  
pp. 2176-2179
Author(s):  
Li Li Sui ◽  
Yong Ming Yang ◽  
Peng Liu ◽  
Jia Liang Chen ◽  
Zhi Shun Ge ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Surface Density ◽  
Regression Coefficients ◽  
Fracture Density ◽  
Surface Fracture ◽  
Two Parameters ◽  
Rock Brittleness ◽  
Relationship Of ◽  
The Relationship ◽  
Rock Parameters

In order to solve complex problems of traditional methods used to evaluate the rock fracability, the relationship between fractal dimension, rock brittleness and fracture density these three parameters was studied. The multiple linear regression is reasonable through nine kinds cores. The regression coefficients demonstrate both rock brittleness and surface fracture density play positive roles on fractal dimension value, the larger they are, the better the fracability. Therefore, the two parameters can be converted to consider only one parameter that is the fractal dimension of rock. The larger the fractal dimension, the better the fracability is, that is using fractal dimension represents brittle index and surface density to participate in fracability evaluation.

Adsorption of etioporphyrin and Ni-etioporphyrin on a fractal silica

2001 ◽  
Vol 79 (5-6) ◽  
pp. 817-822 ◽  
Author(s):  
Josephine Mary Hill ◽  
Flora TT Ng
Keyword(s):  
Fractal Dimension ◽  
Heavy Oil ◽  
Fractal Geometry ◽  
Effective Size ◽  
Cross Sectional ◽  
Metal Compounds ◽  
X Ray ◽  
The Relationship ◽  
Ray Methods ◽  
Monolayer Coverage

Metal compounds are contaminants in heavy oil and must be removed using hydrodemetallization catalysts. To optimize the structure of hydrodemetallization catalysts it is useful to know the effective size of the metal compounds. To this end, fractal geometry has been used to determine the relationship between monolayer coverage and adsorbate size for silica by adsorbing a series of alcohols at 298 K. It was found that the silica had a fractal dimension of 2.923. Etioporphyrin and Ni-etioporphyrin were then adsorbed on the silica and their effective areas determined based on this fractal dimension. Cross-sectional areas of 4.58 and 14.8 nm2 were determined for etioporphyrin and Ni-etioporphyrin, respectively. The areas are larger than those determined by X-ray methods and likely reflect the fact that the porphyrins are solvated with solvent (cyclohexane) molecules.

scholarly journals NUMERICAL STUDY ON EFFECTS OF TENON SIZES ON WITHDRAWAL LOAD CAPACITY OF MORTISE AND TENON JOINT

Wood Research ◽  
2021 ◽  
Vol 66 (2) ◽  
pp. 321-330
Author(s):  
Tianxing Zhang ◽  
Wengang Hu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Response Surface ◽  
Numerical Study ◽  
Load Capacity ◽  
The Finite Element Method ◽  
Surface Method ◽  
Mortise And Tenon ◽  
Relationship Of ◽  
The Relationship

The effect of tenon length and tenon width on withdrawal load capacity of mortise and tenon (M-T) joint was studied based on the finite element method (FEM), and the relationship of withdrawal load capacity relating to tenon length and tenon width was regressed using response surface method. The results showed that the tenon length and tenon width had remarkable effects on withdrawal load capacity of M-T joint T-shaped sample. The effect of tenon length on withdrawal load capacity was greater than tenon width. The regression equation used to predict the withdrawal load capacity was capable of optimizing the tenon sizes of M-T joint with R-square of 0.926. Using FEM can get more knowledge of M-T joint visually, and reduce the costs of materials and time of experiments.

Mathematical and Elemental Coordinates: The Role of Imagination

2014 ◽  
Vol 44 (2) ◽  
pp. 161-169
Author(s):  
Bernard Freydberg
Keyword(s):  
Practical Reason ◽  
Fractal Geometry ◽  
History Of Philosophy ◽  
Creative Evolution ◽  
Logic Of Imagination ◽  
History Of ◽  
Dance Companies ◽  
Relationship Of ◽  
The Relationship

Both in Force of Imagination: The Sense of the Elemental (2000) and in his very recent Logic of Imagination: The Expanse of the Elemental (2012), John Sallis enacts a reconfiguration of the relationship of geometry to elementology, which might be regarded more generally as a rethinking of the relation of mathematics to philosophy. The paper will trace this reconfiguration in two ways: (1) as it lies present but concealed in the history of philosophy, for example, in Descartes’ so-called “dualism” and in Kant’s pure productive imagination, and (2) in its present creative evolution in fractal geometry, as Sallis interprets it. Sallis draws together the mathematical affinity with a fundamental aesthetic drive, likening mathematical patterns to choreographic ones. I conclude by following this strain as it points to specific dance companies, and to my own sense of aesthetic homecoming as presented in my Imagination in Kant’s Critique of Practical Reason.

scholarly journals EVALUATION OF THE PARAMETERS OF FRACTAL POROUS MEDIA

2020 ◽  
pp. 87-96
Author(s):  
А.А. Егоров ◽  
Т.В. Гавриленко ◽  
Д.А. Быковских
Keyword(s):  
Porous Media ◽  
Fractal Dimension ◽  
Software Package ◽  
Grid Size ◽  
Porous Space ◽  
Perlin Noise ◽  
Evaluation Of Parameters ◽  
Relationship Of ◽  
Gas Cloud ◽  
The Relationship

В статье представлены результаты исследования моделей пористых сред построенных на основе стохастических фракталов шум Перлина и газовое облако, в частности представлены подходы к определению структуры пористого пространства и его проницаемости. Рассматриваются вопросы оценки параметров пористости сред. Описываются механизмы сегментации областей пористых сред. Представлены результаты моделирования и расчётов пористости модели, фрактальной размерности, а также взаимосвязь данных показателей. Показаны возможности разработанного комплекс программного обеспечения Кернализ по анализу и сегментированию двумерных срезов, как матриц, полученных методами генерации стохастических фракталов, так и матриц реальных пористых сред. Показано, что фрактальная размерность созданных матриц и пористых сред, сохраняется для любых масштабов среза и размеров сетки фракталов использованных для построения моделей пористых сред, а также фрактальная размерность матриц и пористых сред зависит от параметра бинарной фильтрации, формирующего заданную пористость, путем изменения соотношение матриц, открытых и закрытых пор, к общему объему образца. The article presents the results of a study of models of porous media based on stochastic fractals Perlin noise and gas cloud. in particular, it presents approaches to determining the structure of a porous space and its permeability. The article deals with evaluation of parameters of the porous media. Mechanisms of segmentation of areas of porous media are described. The results of modeling and calculations of the model porosity, fractal dimension, and the relationship of these indicators are presented. The possibilities of the developed Kernaliz software package for analyzing and segmenting two-dimensional sections, both matrices obtained by generating stochastic fractals and matrices of real porous media, are shown. It is shown that the fractal dimension of the created matrices and porous media is preserved for any cut-off scale and grid size of the fractals used to build models of porous media, as well as the fractal dimension of the matrices and porous media depends on the binary filtering parameter that forms the specified porosity by changing the ratio of the matrices, open and closed pores, to the total volume of the sample.

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