Monte Carlo Simulation of the Flow and Solute Transport in a 2D Fractured Medium at Percolation Threshold with a Power Law Fracture Length Distribution and a fBm Fracture Aperture Spatial Distribution

2001 ◽  
Author(s):  
C. Han ◽  
J.M. Kang ◽  
J. Choe
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Spatial Distribution ◽  
Percolation Threshold ◽  
Solute Transport ◽  
Power Law ◽  
Length Distribution ◽  
Fracture Aperture ◽  
Fracture Length ◽  
Fractured Medium

Monte Carlo simulation of spatial distribution of atomic hydrogen in electron assisted CVD

2002 ◽  
Vol 11 (9) ◽  
pp. 1648-1652 ◽  
Author(s):  
Lifang Dong ◽  
Yuhong Zhang ◽  
Boqin Ma ◽  
Guangsheng Fu
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Spatial Distribution ◽  
Atomic Hydrogen

SEEPAGE PROPERTIES OF ROCK FRACTURES WITH POWER LAW LENGTH DISTRIBUTIONS

Fractals ◽  
2019 ◽  
Vol 27 (04) ◽  
pp. 1950057 ◽  
Author(s):  
TONGJUN MIAO ◽  
SUJUN CHENG ◽  
AIMIN CHEN ◽  
YAN XU ◽  
GUANG YANG ◽  
...  
Keyword(s):  
Power Law ◽  
Structural Parameters ◽  
Length Distribution ◽  
Fracture Network ◽  
Analytical Models ◽  
Fracture Density ◽  
Fracture Networks ◽  
Permeability Model ◽  
Fracture Length ◽  
Power Law Exponent

Fractures with power law length distributions abound in nature such as carbonate oil and gas reservoirs, sandstone, hot dry rocks, etc. The fluid transport properties and morphology characterization of fracture networks have fascinated numerous researchers to investigate for several decades. In this work, the analytical models for fracture density and permeability are extended from fractal fracture network to general fracture network with power law length distributions. It is found that the fracture density is related to the power law exponents [Formula: see text] and the area porosity [Formula: see text] of fracture network. Then, a permeability model for the fracture length distribution with general power law exponent [Formula: see text] and the power law exponent [Formula: see text] for fracture length versus aperture is proposed based on the well-known cubic law in individual fracture. The analytical expression for permeability of fractured networks is found to be a function of power law exponents [Formula: see text], area porosity [Formula: see text] of fracture network, and the micro-structural parameters (maximum fracture length [Formula: see text], fracture azimuth [Formula: see text] and fracture dip angle [Formula: see text]). The present model may shed light on the mechanism of seepage in fracture networks with power law length distributions.

scholarly journals Luminosity Distribution of Gamma-ray Burst Optical Afterglows

2012 ◽  
Vol 8 (S290) ◽  
pp. 335-336
Author(s):  
X. G. Wang ◽  
E. W. Liang ◽  
L. Li ◽  
J. J. Wei ◽  
B. Zhang
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Power Law ◽  
Luminosity Function ◽  
Gamma Ray ◽  
Gamma Ray Bursts ◽  
Gamma Ray Burst

AbstractWe derive the optical afterglow luminosity distributions at different epoches for gamma-ray bursts (GRBs) from a sample of 146 GRBs that have a well-sampled optical afterglow lightcurve, then explore the luminosity function of GRB optical afterglows using the Monte Carlo simulation. We show that an intrinsic broken power-law luminosity function can well reproduced the observed magnitude distributions.

scholarly journals Monte Carlo Simulation of the Segment Length Distribution in the Copolymerization Product of Propylene Oxide and Carbon Dioxide

2014 ◽  
Vol 86 (9) ◽  
pp. 1532-1532
Author(s):  
S. G. Maerten ◽  
M. A. Liauw ◽  
K. Böhm ◽  
A. M. Subhani ◽  
T. E. Müller
Keyword(s):  
Carbon Dioxide ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Propylene Oxide ◽  
Length Distribution ◽  
Segment Length
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