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Effects of Boundary Conditions of Models on Tracer Distribution in Flow through Porous Mediums
Author(s) -
Gershon N. D.,
Nir A.
Publication year - 1969
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr005i004p00830
Subject(s) - tracer , porous medium , diffusion , radioactive tracer , boundary value problem , dispersion (optics) , flow (mathematics) , mechanics , boundary (topology) , steady state (chemistry) , distribution (mathematics) , porosity , matrix (chemical analysis) , materials science , thermodynamics , mathematics , physics , mathematical analysis , chemistry , nuclear physics , optics , composite material
Effects of initial and boundary conditions on the distribution of the tracer in time and distance are calculated for several one‐dimensional systems (infinite, semi‐infinite, and finite) of tagged liquid flowing through a solid matrix, and the effects of hydrodynamic dispersion, diffusion, radioactive decay, and simple chemical interactions of the tracer are included. Exact and approximative solutions show that in most practical conditions the results of steady state experiments are influenced only up to 0.5% by changes in boundary conditions. In nonsteady state, results are influenced up to 5% in the region c/c o ≃ 0.5, where c/c o is the ratio of the measured concentration and the concentration of the solution entering the porous medium. Results are given in nondimensional form with graphs of representative cases.