Abstract
The Galerkin-based finite element method has been used to successfully simulate the propagation of instabilities in the liquid-liquid miscible displacement process. The convective-dispersion equation is sufficient to model the liquid-liquid miscible displacement process under unstable conditions. The investigations reveal: i. An unconditional instability which will not disappear with time, ii. The rate of growth of the instabilities, tended to increased proportionally to a number to the M power, where M is the mobility ratio, iii. The propagation of instabilities can be achieved through the actions of viscous, gravity and heterogeneous forces, and iv. Heterogeneity in permeability introduces a macroscopic dispersion effect that attempts to stabilize the instabilities. Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 173-176
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
