Push-pull tracer tests: Their information content and use for characterizing non-Fickian, mobile-immobile behavior: INFORMATION CONTENT OF PUSH-PULL TESTS
Abstract
Path reversibility and radial symmetry are often assumed in push-pull tracer test analysis. In reality, heterogeneous flow fields mean that both assumptions are idealizations. In this paper, to understand their impact, we perform a parametric study which quantifies the scattering effects of ambient flow, local-scale dispersion, and velocity field heterogeneity on push-pull breakthrough curves and compares them to the effects of mobile-immobile mass transfer (MIMT) processes including sorption and diffusion into secondary porosity. We identify specific circumstances in which MIMT overwhelmingly determines the breakthrough curve, which may then be considered uninformative about drift and local-scale dispersion. Assuming path reversibility, we develop a continuous-time-random-walk-based interpretation framework which is flow-field-agnostic and well suited to quantifying MIMT. Adopting this perspective, we show that the radial flow assumption is often harmless: to the extent that solute paths are reversible, the breakthrough curve is uninformative about velocity field heterogeneity. Our interpretation method determines a mapping function (i.e., subordinator) from travel time in the absence of MIMT to travel time in its presence. A mathematical theory allowing this function to be directly “plugged into” an existing Laplace-domain transport model to incorporate MIMT is presented and demonstrated. Algorithms implementing the calibration are presented and applied to interpretationmore »
- Authors:
-
- Computational Earth Sciences Group (EES-16), Los Alamos National Laboratory, Los Alamos New Mexico USA; Department of Earth and Planetary Sciences, Weizmann Institute of Science, Rehovot Israel
- Department of Earth and Planetary Sciences, Weizmann Institute of Science, Rehovot Israel
- Computational Earth Sciences Group (EES-16), Los Alamos National Laboratory, Los Alamos New Mexico USA
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1338755
- Report Number(s):
- LA-UR-16-20526
Journal ID: ISSN 0043-1397
- Grant/Contract Number:
- AC52-06NA25396; 11145687
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Volume: 52; Journal Issue: 12; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Mathematics; Planetary Sciences
Citation Formats
Hansen, Scott K., Berkowitz, Brian, Vesselinov, Velimir V., O'Malley, Daniel, and Karra, Satish. Push-pull tracer tests: Their information content and use for characterizing non-Fickian, mobile-immobile behavior: INFORMATION CONTENT OF PUSH-PULL TESTS. United States: N. p., 2016.
Web. doi:10.1002/2016WR018769.
Hansen, Scott K., Berkowitz, Brian, Vesselinov, Velimir V., O'Malley, Daniel, & Karra, Satish. Push-pull tracer tests: Their information content and use for characterizing non-Fickian, mobile-immobile behavior: INFORMATION CONTENT OF PUSH-PULL TESTS. United States. https://doi.org/10.1002/2016WR018769
Hansen, Scott K., Berkowitz, Brian, Vesselinov, Velimir V., O'Malley, Daniel, and Karra, Satish. Thu .
"Push-pull tracer tests: Their information content and use for characterizing non-Fickian, mobile-immobile behavior: INFORMATION CONTENT OF PUSH-PULL TESTS". United States. https://doi.org/10.1002/2016WR018769. https://www.osti.gov/servlets/purl/1338755.
@article{osti_1338755,
title = {Push-pull tracer tests: Their information content and use for characterizing non-Fickian, mobile-immobile behavior: INFORMATION CONTENT OF PUSH-PULL TESTS},
author = {Hansen, Scott K. and Berkowitz, Brian and Vesselinov, Velimir V. and O'Malley, Daniel and Karra, Satish},
abstractNote = {Path reversibility and radial symmetry are often assumed in push-pull tracer test analysis. In reality, heterogeneous flow fields mean that both assumptions are idealizations. In this paper, to understand their impact, we perform a parametric study which quantifies the scattering effects of ambient flow, local-scale dispersion, and velocity field heterogeneity on push-pull breakthrough curves and compares them to the effects of mobile-immobile mass transfer (MIMT) processes including sorption and diffusion into secondary porosity. We identify specific circumstances in which MIMT overwhelmingly determines the breakthrough curve, which may then be considered uninformative about drift and local-scale dispersion. Assuming path reversibility, we develop a continuous-time-random-walk-based interpretation framework which is flow-field-agnostic and well suited to quantifying MIMT. Adopting this perspective, we show that the radial flow assumption is often harmless: to the extent that solute paths are reversible, the breakthrough curve is uninformative about velocity field heterogeneity. Our interpretation method determines a mapping function (i.e., subordinator) from travel time in the absence of MIMT to travel time in its presence. A mathematical theory allowing this function to be directly “plugged into” an existing Laplace-domain transport model to incorporate MIMT is presented and demonstrated. Algorithms implementing the calibration are presented and applied to interpretation of data from a push-pull test performed in a heterogeneous environment. A successful four-parameter fit is obtained, of comparable fidelity to one obtained using a million-node 3-D numerical model. In conclusion, we demonstrate analytically and numerically how push-pull tests quantifying MIMT are sensitive to remobilization, but not immobilization, kinetics.},
doi = {10.1002/2016WR018769},
journal = {Water Resources Research},
number = 12,
volume = 52,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 2016},
month = {Thu Dec 01 00:00:00 EST 2016}
}
Web of Science
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Works referencing / citing this record:
Models of Single‐Well Push‐Pull Test With Mixing Effect in the Wellbore
journal, December 2018
- Wang, Quanrong; Shi, Wenguang; Zhan, Hongbin
- Water Resources Research, Vol. 54, Issue 12
Biased Estimation of Groundwater Velocity from a Push-Pull Tracer Test Due to Plume Density and Pumping Rate
journal, July 2019
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