TY - JOUR
T1 - Geometrical and transport properties of disordered fibre networks
T2 - Analytical results
AU - Rodríguez, A. A.
AU - Medina, E.
PY - 1997/8/30
Y1 - 1997/8/30
N2 - We study novel geometrical and transport properties of a 2D model of disordered fibre networks. To assess the geometrical structure we determine, analytically, the probability distribution for the number of fibre intersections and resulting segment sizes in the network as a function of fibre density and length. We also determine, numerically, the probability distribution of pore perimeters and areas. We find a non-monotonous behavior of the perimeter distribution whose main features can be explained by solving for two simplified models of the line network. Finally we formulate a mean field approximation to conduction, above the percolation threshold, using the derived results. Relevance of the results to fracture networks will be discussed.
AB - We study novel geometrical and transport properties of a 2D model of disordered fibre networks. To assess the geometrical structure we determine, analytically, the probability distribution for the number of fibre intersections and resulting segment sizes in the network as a function of fibre density and length. We also determine, numerically, the probability distribution of pore perimeters and areas. We find a non-monotonous behavior of the perimeter distribution whose main features can be explained by solving for two simplified models of the line network. Finally we formulate a mean field approximation to conduction, above the percolation threshold, using the derived results. Relevance of the results to fracture networks will be discussed.
UR - http://www.scopus.com/inward/record.url?scp=0346443673&partnerID=8YFLogxK
U2 - 10.1142/s0217984997001079
DO - 10.1142/s0217984997001079
M3 - Artículo
AN - SCOPUS:0346443673
SN - 0217-9849
VL - 11
SP - 867
EP - 875
JO - Modern Physics Letters B
JF - Modern Physics Letters B
IS - 20
ER -