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Travel times of nonlocal dispersion and their geoelectric approximation in Nevada's fractured welded tuffs
Author(s) -
Purvance David T.
Publication year - 2001
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 - 10.1029/2001wr000491
Subject(s) - dispersion (optics) , fick's laws of diffusion , geology , constant (computer programming) , hydraulic conductivity , physics , diffusion , soil science , thermodynamics , computer science , optics , programming language , soil water
This technical note argues the importance of incorporating nonlocal dispersion effects when modeling contaminant travel times. Using the transport theory of Di Fedenco and Neuman [1998], expressions for nonlocal contaminant travel times and breakthrough are developed. They show that nonlocal travel times are significantly faster than their local (Fickian) counterpart and that nonlocal breakthrough occurs significantly earlier than Fickian. As an illustrative example, nonlocal breakthrough curves for Nevada's fractured welded tuffs, a common rock unit found at the U.S. Department of Energy's Yucca Mountain Project, are approximated using the electrical‐hydraulic conductivity correlation theory and measurements of Purvance and Andricevic [2000a, 2000b]. At the 5 km compliance point the approximation shows that nonlocal contaminant breakthrough occurs ∼5 times earlier than what is predicted by the Department of Energy's Fickian model.