Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture

2002 ◽  
Vol 38 (12) ◽  
pp. 12-1-12-9 ◽  
Author(s):  
J.-R. de Dreuzy ◽  
P. Davy ◽  
O. Bour
Keyword(s):  
Power Law ◽  
Hydraulic Properties ◽  
Two Dimensional ◽  
Fracture Networks ◽  
Random Fracture ◽  
Power Law Distributions

scholarly journals Extra investigation of the self-organized critical Manna model at higher critical dimension

2021 ◽  
pp. 1-12
Author(s):  
Andrey Viktorovich Podlazov
Keyword(s):  
Power Law ◽  
Critical Dimension ◽  
The Self ◽  
Two Dimensional ◽  
Upper Critical Dimension ◽  
Self Organized ◽  
Logarithmic Corrections ◽  
Universal Indicator ◽  
Sandpile Models ◽  
Power Law Distributions

I investigate the nature of the upper critical dimension for isotropic conservative sandpile models and calculate the emerging logarithmic corrections to power-law distributions. I check the results experimentally using the case of Manna model with the theoretical solution known for all statement starting from the two-dimensional one. In addition, based on this solution, I construct a non-trivial super-universal indicator for this model. It characterizes the distribution of avalanches by time the border of their region needs to pass its width.

Transport and intersection mixing in random fracture networks with power law length distributions

2001 ◽  
Vol 37 (10) ◽  
pp. 2493-2501 ◽  
Author(s):  
Young-Jin Park ◽  
Jean-Raynald de Dreuzy ◽  
Kang-Kun Lee ◽  
Brian Berkowitz
Keyword(s):  
Power Law ◽  
Fracture Networks ◽  
Random Fracture
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