Topology of fracture networks

被引:55
作者
Andresen, Christian Andre [1 ]
Hansen, Alex [1 ]
Le Goc, Romain [2 ]
Davy, Philippe [2 ]
Hope, Sigmund Mongstad [1 ,3 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Phys, N-7491 Trondheim, Norway
[2] Univ Rennes 1, Ctr Natl Rech Scientif, Geosci Rennes UPR 4661, Rennes, France
[3] Polytec Res Inst, Haugesund, Norway
关键词
fractures; fracture networks; network topology; dual networks; network analysis;
D O I
10.3389/fphy.2013.00007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a mapping from fracture systems consisting of intersecting fracture sheets in three dimensions to an abstract network consisting of nodes and links. This makes it possible to analyze fracture systems with the methods developed within modern network theory. We test the mapping for two-dimensional geological fracture outcrops and find that the equivalent networks are small-world and dissasortative. By analyzing the Discrete Fracture Network model, which is used to generate artificial fracture outcrop networks, we also find small world networks. However, the networks turn out to be assortative.
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页数:5
相关论文
共 25 条
[1]   Statistical mechanics of complex networks [J].
Albert, R ;
Barabási, AL .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97
[2]   Virtual Round Table on ten leading questions for network research [J].
Amaral, LAN ;
Barrat, A ;
Barabasi, AL ;
Caldarelli, G ;
De los Rios, P ;
Erzan, A ;
Kahng, B ;
Mantegna, R ;
Mendes, JFF ;
Pastor-Satorras, R ;
Vespignani, A .
EUROPEAN PHYSICAL JOURNAL B, 2004, 38 (02) :143-145
[3]  
Andresen C. A., 2008, THESIS
[4]   Statistical analysis of shear cracks on rock surfaces [J].
Astrom, J. A. .
EUROPEAN PHYSICAL JOURNAL B, 2007, 56 (04) :291-295
[5]  
Barabasi A.-L., 2003, LINKED
[6]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[7]   Scaling of fracture systems in geological media [J].
Bonnet, E ;
Bour, O ;
Odling, NE ;
Davy, P ;
Main, I ;
Cowie, P ;
Berkowitz, B .
REVIEWS OF GEOPHYSICS, 2001, 39 (03) :347-383
[8]   Connectivity properties of two-dimensional fracture networks with stochastic fractal correlation [J].
Darcel, C ;
Bour, O ;
Davy, P ;
de Dreuzy, JR .
WATER RESOURCES RESEARCH, 2003, 39 (10) :SBH11-SBH113
[9]  
Darcel C., 2006, SWED NUCL FUEL WASTE
[10]  
Darcel C., 2009, SWED NUCL FUEL WASTE