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Time domain random walk method to simulate transport by advection‐dispersion and matrix diffusion in fracture networks
Author(s) -
Delay Frédérick,
Bodin Jacques
Publication year - 2001
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2001gl013698
Subject(s) - advection , discretization , mechanics , leaps , fracture (geology) , dispersion (optics) , diffusion , residence time (fluid dynamics) , eulerian path , flow (mathematics) , statistical physics , particle (ecology) , random walk , matrix (chemical analysis) , geology , computer science , mathematics , physics , materials science , mathematical analysis , geotechnical engineering , lagrangian , statistics , financial economics , optics , economics , thermodynamics , oceanography , composite material
A method is proposed to calculate in one step the residence time of a particle by advection‐dispersion and matrix diffusion in a bond of a fracture network. The calculation is very rapid and avoids the discretization of Eulerian methods or the multiple leaps of classical Lagrangian approaches. The method is accurate in most flow conditions prevailing in fracture networks. Therefore, the method will be useful to evaluate the conditions in which the different transport mechanisms are of influence at the scale of the entire network.