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Structure, flow, and generalized conductivity scaling in fracture networks
Author(s) -
Margolin Gennady,
Berkowitz Brian,
Scher Harvey
Publication year - 1998
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/98wr01648
Subject(s) - anisotropy , scaling , percolation (cognitive psychology) , fracture (geology) , aperture (computer memory) , geometry , permeability (electromagnetism) , flow (mathematics) , conductivity , hydraulic conductivity , geology , percolation theory , mechanics , geotechnical engineering , materials science , mathematics , physics , structural engineering , engineering , soil science , optics , quantum mechanics , genetics , neuroscience , membrane , soil water , biology
We present a three‐dimensional (3‐D) model of fractures that within the same framework, allows a systematic study of the interplay and relative importance of the two key factors determining the character of flow in the system. The two factors of complexity are () the geometry of fracture plane structure and interconnections and (2) the aperture variability within these planes. Previous models have concentrated on each separately. We introduce anisotropic percolation to model a wide range of fracture structures and networks. The conclusion is that either of these elements, fracture geometry and aperture variability, can give rise to channeled flow and that the interplay between them is especially important for this type of flow. Significant outcomes of our study are (1) a functional relationship that quantifies the dependence of the effective hydraulic conductivity on aperture variability and on the network structure and fracture element density, (2) a relation between aperture variability and the Peclet number, and (3) a basis for a new explanation for the field‐length dependence of permeability observed in fractured and heterogeneous porous formations.