NDLI: Investigation of the Geometrical Dispersion Regime in a Single Fracture Using Positron Emission Projection Imaging

Content Provider	Springer Nature Link
Author	Loggia, D. Gouze, P. Greswell, R. Parker, D. J.
Copyright Year	2004
Abstract	The transport properties of a natural fracture crossing a limestone block of 36 cm × 26 cm × 60 cm is studied using positron emission projection imaging. This non-invasive technique allows to measure the spatial distribution of the activity of a radioactive solution (here irradiated-copper-EDTA solution) within the fracture. The fracture aperture is measured from the spatial distribution of the activity as the fracture is completely filled with the tracer. The experiment consists in injecting the tracer at a constant flow rate in the plane of the fracture filled with an identical non-radioactive solution. Every 10 min, a two-dimensional grey scale image of the concentration field is recorded. The heterogeneity of the tracer distribution increases with time in relation with the spatial heterogeneity of the aperture field, and favours only slightly the region of larger aperture. The correlation length of the aperture distribution is larger than the correlation length of the concentration distribution of the tracer within the sample. Consequently, the concentration distribution cannot be modelled using a classical advection–dispersion equation; the mixing process has not reached a stationary Fickian dispersion regime in the finite size domain of the experiment. Nevertheless, the transversally averaged concentration profiles $$\overline c \left( x \right)$$ evaluated along the flow direction x rescale adequately with an advective variable $${x \mathord{\left/ {\vphantom {x {\overline U t}}} \right. -} {\overline U t}} $$ , where $${\overline U }$$ is the mean velocity and t the time. This result is explained in the context of the geometrical dispersion regime where the mixing dispersion zone grows proportionally with time. Different approaches are proposed to characterise this anomalous dispersion regime.
Starting Page	1
Ending Page	20
Page Count	20
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	55
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2004-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Industrial Chemistry/Chemical Engineering Hydrogeology Geotechnical Engineering Mechanics, Fluids, Thermodynamics Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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