Onset of Instability Patterns between Miscible Fluids in Porous Media
- 15 March 1966
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 37 (4) , 1566-1579
- https://doi.org/10.1063/1.1708569
Abstract
A theoretical treatment of the stability of isoconcentration surfaces in a porous sample saturated with a single-phase liquid of variable density and viscosity is presented. In a rectangular system with horizontal displacement front the early growth or decay of Fourier perturbation components is exponential with time. Dependence of growth exponent on wavenumber is presented, including effect of dispersion. Regions of stability with respect to nondimensionalized flow rate, viscosity gradient, and density gradient are shown.This publication has 16 references indexed in Scilit:
- Measurements of Transverse Dispersion in Granular Media.Journal of Chemical & Engineering Data, 1961
- On the tensor form of dispersion in porous mediaJournal of Geophysical Research, 1961
- The Development of Stability Theory for Miscible Liquid-Liquid DisplacementSociety of Petroleum Engineers Journal, 1961
- Miscible Displacement in Soils: I. Experimental InformationSoil Science Society of America Journal, 1961
- The stability of a viscous liquid in a vertical tube containing porous materialProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1959
- Steady state free thermal convection of liquid in a saturated permeable mediumJournal of Fluid Mechanics, 1957
- Dispersion of a moving salt‐water boundary advancing through saturated sandEOS, Transactions American Geophysical Union, 1956
- Convection Currents in Porous Media: II. Observation of Conditions at Onset of ConvectionJournal of Applied Physics, 1949
- Convection of a fluid in a porous mediumMathematical Proceedings of the Cambridge Philosophical Society, 1948
- Convection Currents in a Porous MediumJournal of Applied Physics, 1945