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Investigation of radial dispersion‐capacitance system in porous media
Author(s) -
McCoy T. F.,
Kelkar B. G.
Publication year - 1990
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/wr026i001p00087
Subject(s) - materials science , viscosity , porous medium , dispersion (optics) , mechanics , capacitance , flow (mathematics) , porosity , thermodynamics , composite material , optics , chemistry , physics , electrode
Experimental and analytical studies were conducted to determine the effect of velocity and viscosity ratio on dispersivity under radial flow conditions. In situ concentration profiles were obtained using technetium 99 m (m , metastable) as a tracer in a synthetic core composed of fused aluminum oxide. Early in the study it was noted that capacitance effects due to dead‐end pores played a significant role in determining the shape of the experimental concentration profiles. A new mathematical approach that includes capacitance effects in the analytical and numerical solutions was developed for the radial dispersion system. A finite difference numerical model was used in conjunction with a Levenburg‐Marquardt minimization routine to analyze the experimental data. Results indicate that dispersivity is independent of velocity for a unit viscosity ratio. In addition, dispersivity was found to be independent of the viscosity ratio for viscosity ratios less than one.