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Self-Affine Fractals and Fractal Dimension

Physica Scripta, 1985
Evaluating a fractal curve's approximate length by walking a compass defines a compass exponent. Long ago, I showed that for a self-similar curve (e.g., a model of coastline), the compass exponent coincides with all the other forms of the fractal dimension, e.g., the similarity, box or mass dimensions. Now walk a compass along a self-affine curve, such
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On impacting mechanical behaviors of side fractal structures

, 2020
To enhance the impacting mechanical performance of the thin-walled structure, this paper proposes three new side fractal structures and investigates their crashworthiness by the experimental testing, simulation analysis and theoretical prediction.
Yong Zhang   +4 more
semanticscholar   +1 more source

Fractals and Reactions on Fractals

1989
Many of the structures which surround us in nature (mountains, rivers, coastlines, clouds, the vascular system and other biological structures, for example) and systems of scientific interest (aggregates, macromolecules, rough surfaces, “strange” attractors, etc.) cannot be adequately described in terms of the concepts of Euclidean geometry.
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A new fractal approach for describing induced-fracture porosity/permeability/ compressibility in stimulated unconventional reservoirs

Journal of Petroleum Science and Engineering, 2019
The stimulated reservoir volume (SRV) with complex induced-fracture governs dominant flow rates in unconventional reservoirs. The induced-fracture spacing and aperture greatly affect the fracture properties.
Guanglong Sheng   +4 more
semanticscholar   +1 more source

Fractals and Fractal Distributions

2002
Scale invariance has attracted scientists from various disciplines since the early 1980’s. B. B. Mandelbrot has been the pioneer on this field; he introduced first ideas in the 1960’s and was the first to write a comprehensive book on scale invariance (Mandelbrot 1982). However, the idea of scale dependence and scale invariance is much older; D.
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Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques

EAGE Workshop on Non-Seismic Methods, 2008
The demonstration of fractal processes within the earth has been an important step in understanding many processes and the nature of resultant geomorphology. However the complex nature of interplay between many different processes does not lead to simple measures of fractal geometry in practice.
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Adsorption pore structure and its fractal characteristics of coals by N2 adsorption/desorption and FESEM image analyses

, 2019
The adsorption pore structure and its fractal characteristics of coals (0.69–2.79% Ro,m) were investigated by N2 adsorption/desorption and field emission scanning electron microscopy. First, organic matter (OM) pores and interparticle pores (InterP) with
Zhentao Li   +4 more
semanticscholar   +1 more source

Fractal dimension, lacunarity and succolarity analyses on CT images of reservoir rocks for permeability prediction

, 2019
An explicit relationship between seepage properties and microscopic structure of porous media is being sought for the development of oil and gas resources.
Yuxuan Xia   +5 more
semanticscholar   +1 more source

The influence of surfactant on pore fractal characteristics of composite acidized coal

Fuel, 2019
In order to study the influence of surfactant on pore fractal characteristics of composite acidized coal. In this paper, the coal samples were acidified by solution constituted with the Sodium Dodecyl Sulfate (SDS), hydrochloric acid (HCL) and ...
Xie Hongchao   +7 more
semanticscholar   +1 more source

Fractal Proteins

Genetic Programming and Evolvable Machines, 2004
The fractal protein is a new concept intended to improve evolvability, scalability, exploitability and provide a rich medium for evolutionary computation. Here the idea of fractal proteins and fractal proteins with concentration levels are introduced, and a series of experiments showing how evolution can design and exploit them within gene regulatory ...
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