Saffman-Taylor instability of a shear-dependent rheological fluid in a radial reservoir at later time periods:
Why is it difficult to attain steady-state fluid flow condition with a dominating finger in a radial coordinate system with asymmetric interfaces, particularly at larger times following the injection?
Will the fingering get ‘stabilized’ - in a very low permeability reservoir - with extremely small fluid flow rates?
If yes, can the application of linear stability analysis - will be justified?
If not, how exactly - to conceptualize – the hydrodynamic instability at the interface, i.e., the non-Newtonian dynamics (correlating the average-length-, width- and number-of-fingers with the injection fluid flow rate; along with the evolution of ‘finger detachment’) - that impacts the stability?
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