Conductivity Estimates of Fractal Models of Geological Media

Author(s):  
Fábio D. A. Aarão Reis ◽  
Vaughan R. Voller
Keyword(s):  
2017 ◽  
Vol 22 (0) ◽  
Author(s):  
Erik I. Broman ◽  
Johan Jonasson ◽  
Johan Tykesson

Fractals ◽  
2018 ◽  
Vol 26 (06) ◽  
pp. 1850094
Author(s):  
JIANSHE SUN

The new fractal models of the [Formula: see text]-dimensional and [Formula: see text]-dimensional nonlinear local fractional Harry Dym equation (HDE) on Cantor sets are derived and the analytical approximate solutions of the above two new models are obtained by coupling the fractional complex transform via local fractional derivative (LFD) and local fractional reduced differential transform method (LFRDTM). Fractional complex transform for functions of [Formula: see text]-dimensional variables is generalized and the theorems of [Formula: see text]-dimensional LFRDTM are supplementary extended. The travelling wave solutions of the fractal HDE show that the proposed LFRDTM is effective and simple for obtaining approximate solutions of nonlinear local fractional partial differential equations.


Author(s):  
Allen Hunt ◽  
Robert Ewing ◽  
Behzad Ghanbarian
Keyword(s):  

Author(s):  
Giorgio Franceschetti ◽  
Daniele Riccio

2019 ◽  
Vol 2 (22) ◽  
pp. 183-194
Author(s):  
Ewelina Małek ◽  
Danuta Miedzińska ◽  
Arkadiusz Popławski ◽  
Wiesław Szymczyk

In the field of numerical research there are various approaches and methods for structures of porous materials modeling. The solution is the use of fractal models to develop the porous structure. In the case of modeling the geometry of natural (random) materials, there is a problem of compatibility of the FE model geometry and real one. This is a source of differences between the results of calculations and experimental ones. Application of 3D printing technology will allow to receive a real structure in a controlled manner, which exactly reflects the designed structure and is consistent with the geometry of the numerical model. An experimental research on the standard samples made of photopolymer resin using 3D printing technique was presented in the paper. The aim of the research was to determine the base material properties and, consequently, to select the constitutive model, which is necessary to carry out numerical analyses.


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