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Saline and particle-driven interfacial intrusions

Published online by Cambridge University Press:  25 June 1999

FRANS DE ROOIJ ,
P. F. LINDEN  and
STUART B. DALZIEL
FRANS DE ROOIJ
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK; e-mail: f.derooij@damtp.cam.ac.uk
P. F. LINDEN
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK; e-mail: f.derooij@damtp.cam.ac.uk Present address: Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA.
STUART B. DALZIEL
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK; e-mail: f.derooij@damtp.cam.ac.uk
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Abstract

This paper presents a theoretical and experimental investigation into saline and particle-driven intrusions along the interface between two layers of different densities. The conditions at the nose of an intrusion are described in an analysis similar to that applied by Benjamin (1968) to boundary gravity currents. Equations for propagation velocity and front position as functions of relative density are derived. These are used in an integral model for intrusions, which also includes the effects of sedimentation of particles and detrainment of interstitial fluid. The model describes the time-evolution of the length of the intrusion and the sediment distribution it produces. Laboratory experiments were carried out with lock-releases of a fixed volume of saline or particle-laden fluid into a two-layer stratification. Measurements were taken of the intrusion propagation, intrusion position and sediment distribution, and are found to be in good agreement with the solutions of the integral model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 389 , 25 June 1999 , pp. 303 - 334
Copyright
© 1999 Cambridge University Press

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