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

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 ^[4]

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

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0003907

OSTI ID:: 1557838

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

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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Dipole and Convergent Single-Well Thermal Tracer Tests for Characterizing the Effect of Flow Configuration on Thermal Recovery de La Bernardie, Jérôme; Bour, Olivier; Guihéneuf, Nicolas Geosciences, Vol. 9, Issue 10 https://doi.org/10.3390/geosciences9100440	journal	October 2019
Application of Tempered-Stable Time Fractional-Derivative Model to Upscale Subdiffusion for Pollutant Transport in Field-Scale Discrete Fracture Networks Lu, Bingqing; Zhang, Yong; Reeves, Donald Mathematics, Vol. 6, Issue 1 https://doi.org/10.3390/math6010005	journal	January 2018
Stress‐Induced Anomalous Transport in Natural Fracture Networks Kang, Peter K.; Lei, Qinghua; Dentz, Marco ETH Zurich https://doi.org/10.3929/ethz-b-000344137	text	January 2019
Anomalous dispersion in correlated porous media: A coupled continuous time random walk approach Comolli, Alessandro; Dentz, Marco arXiv https://doi.org/10.48550/arxiv.1707.05560	text	January 2017
Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks Delgoshaie, Amir H.; Jenny, Patrick; Tchelepi, Hamdi A. arXiv https://doi.org/10.48550/arxiv.1708.04173	text	January 2017
Fractional Governing Equations of Transient Groundwater Flow in Confined Aquifers with Multi-Fractional Dimensions in Fractional Time Kavvas, M. Levent; Tu, Tongbi; Ercan, Ali Earth System Dynamics Discussions https://doi.org/10.5194/esd-2017-47	journal	June 2017
Fractional governing equations of transient groundwater flow in confined aquifers with multi-fractional dimensions in fractional time Kavvas, M. Levent; Tu, Tongbi; Ercan, Ali Earth System Dynamics, Vol. 8, Issue 4 https://doi.org/10.5194/esd-8-921-2017	journal	January 2017

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