Impact of velocity correlation and distribution on transport in fractured media: Field evidence and theoretical model

Kang, Peter K.; Le Borgne, Tanguy; Dentz, Marco; Bour, Olivier; Juanes, Ruben

doi:10.1002/2014WR015799

Title: Impact of velocity correlation and distribution on transport in fractured media: Field evidence and theoretical model

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Water Resources Research

DOI:https://doi.org/10.1002/2014WR015799· OSTI ID:1557838

Kang, Peter K. ^[1]; Le Borgne, Tanguy ^[2]; Dentz, Marco ^[3]; Bour, Olivier ^[2]; Juanes, Ruben ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. de Rennes (France)
Spanish National Research Council (CSIC), Barcelona (Spain). Inst. of Environmental Assessment and Water Research

Flow and transport through fractured geologic media often leads to anomalous (non-Fickian) transport behavior, the origin of which remains a matter of debate: whether it arises from variability in fracture permeability (velocity distribution), connectedness in the flow paths through fractures (velocity correlation), or interaction between fractures and matrix. Here we show that this uncertainty of distribution- versus correlation-controlled transport can be resolved by combining convergent and push-pull tracer tests because flow reversibility is strongly dependent on velocity correlation, whereas late-time scaling of breakthrough curves is mainly controlled by velocity distribution. We build on this insight, and propose a Lagrangian statistical model that takes the form of a continuous time random walk (CTRW) with correlated particle velocities. In this framework, velocity distribution and velocity correlation are quantified by a Markov process of particle transition times that is characterized by a distribution function and a transition probability. Our transport model accurately captures the anomalous behavior in the breakthrough curves for both push-pull and convergent flow geometries, with the same set of parameters. Thus, the proposed correlated CTRW modeling approach provides a simple yet powerful framework for characterizing the impact of velocity distribution and correlation on transport in fractured media.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0003907

OSTI ID:: 1557838

Journal Information:: Water Resources Research, Vol. 51, Issue 2; ISSN 0043-1397

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 113 works

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