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The Constant Displacement Scheme for Tracking Particles in Heterogeneous Aquifers
Author(s) -
Wen XianHuan,
GómezHernández J. Jaime
Publication year - 1996
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1996.tb01873.x
Subject(s) - constant (computer programming) , tracking (education) , displacement (psychology) , particle (ecology) , scheme (mathematics) , random walk , mechanics , mathematics , computer science , mathematical analysis , physics , geology , statistics , psychotherapist , programming language , psychology , pedagogy , oceanography
Simulation of mass transport by particle tracking or random walk in highly heterogeneous media may be inefficient from a computational point of view if the traditional constant time step scheme is used. A new scheme which adjusts automatically the time step for each particle according to the local pore velocity, so that each particle always travels a constant distance, is shown to be computationally faster for the same degree of accuracy than the constant time step method. Using the constant displacement scheme, transport calculations in a 2‐D aquifer model, with nature log‐transmissivity variance of 4, can be 8.6 times faster than using the constant time step scheme.