Spatial Moment Analysis for One-Dimensional Nonisothermal Quartz Transport and Dissolution/Precipitation in Fracture-Matrix System
Publication: Journal of Hydrologic Engineering
Volume 11, Issue 4
Abstract
This paper presents a spatial-moment analysis of nonisothermal solute transport with simplified dissolution/precipitation of quartz in a single fracture-matrix system using a dual porosity framework. For this purpose, a one-dimensional coupled thermal and solute transport between an injection and a production well is modeled numerically to obtain spatial distribution of temperature and concentration profiles along the fracture. Subsequently, concentration based on first and second spatial moments is evaluated. The effective macrodispersion coefficient is analyzed to study its influence on water velocity, fracture aperture, reservoir diffusion coefficient, reservoir thermal conductivity, reservoir porosity, quartz fraction of the reservoir, and the initial reservoir temperature. The results suggest a non-Fickian behavior that approaches a Fickian behavior due to the effect of coupled matrix diffusion. The mixing characteristics near the injection well are highly sensitive to the above-mentioned parameters at early times, but this mixing effect is subsequently suppressed away from the injection well.
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Acknowledgments
The financial support of the U.S. Department of Defense (N-68936-02-C-0214) and the University of North Dakota Faculty Seed Money Grant is gratefully acknowledged. We are grateful to the two anonymous reviewers for their careful reviews and comments.
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Published In
Journal of Hydrologic Engineering
Volume 11 • Issue 4 • July 2006
Pages: 338 - 346
Copyright
© 2006 ASCE.
History
Received: Aug 31, 2004
Accepted: Dec 13, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006
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