Mathematics – Logic
Scientific paper
Apr 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006georl..3308408s&link_type=abstract
Geophysical Research Letters, Volume 33, Issue 8, CiteID L08408
Mathematics
Logic
3
Cryosphere: Engineering, Cryosphere: Contaminants (0432), Hydrology: Geomechanics, Hydrology: Groundwater Transport, Physical Properties Of Rocks: Transport Properties
Scientific paper
The paper presents a mathematical model for the study of the advective transport problem where gravity-induced entry of chemicals takes place from open regions of lined boreholes and fracture-type cavities that are deeply located in porous geological media. A characteristic feature of a gravity driven deep geological disposal concept is the presence of time-dependent advective flow velocities in the system. It is shown that certain exact closed-form solutions can be developed to describe the gravity-driven transport of a contaminant into a fluid-saturated host porous geologic medium.
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