Estimation of mixing volumes in buoyant miscible displacement flows along near-horizontal pipes

Authors

  • S.M. Taghavi,

    1. Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada, V6T 1Z2
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  • I.A. Frigaard

    Corresponding author
    1. Departments of Mathematics and Mechanical Engineering, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada, V6T 1Z2
    • Departments of Mathematics and Mechanical Engineering, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada, V6T 1Z2
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Abstract

We present a methodological framework for estimating the degree of mixing between successive miscible fluids pumped along a near-horizontal pipe. Either or both of the fluids can be non-Newtonian, of Herschel–Bulkley type. Overall it is considered that the objective is to minimise mixing. In laminar regimes our estimates are based on front velocity of the leading displacement front. In turbulent regimes the spreading mechanism is dispersion. In addition to the estimates of mixing volumes/lengths, we also predict a minimal flow rate necessary in order to achieve a successful displacement of the residual fluid. © 2013 Canadian Society for Chemical Engineering

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