Abstract
Abstract
Highlights
The geological storage of CO2 from industrial sources provides a solution for the reduction of anthropogenic emissions
This paper forms a complement to Part 1 in which we considered the case of a fixed travelling interface, associated with a high viscosity injectate (Hinton & Woods 2020)
We study the case of a nose that grows in proportion to time t within a uniform aquifer in § 3, corresponding to a low viscosity injectate, and find that tracer migrates into continually shallower regions of the nose where it is stretched owing to the growth of the nose
Summary
The geological storage of CO2 from industrial sources provides a solution for the reduction of anthropogenic emissions. Curiously the role of such shear dispersion diminishes as tracer migrates into continually thinner regions of the nose where it samples less of the cross-flow permeability gradient At such times, the stretching dominates the spreading as in a uniform aquifer (see figure 2e, f ). As in Part 1, our approach is to develop an idealised model so that we can identify the interaction between the shearing of tracer produced by the heterogeneity and the stretching of tracer produced by the nose It is idealised, the qualitative and quantitative understanding of the structure of the flow field and its influence on the distribution of a pulse of additive as a function of time provides insight into the potential learnings from tracer tests about the aquifer structure. In appendix A, we study how the tracer migrates within a nose that grows in proportion to t1/2, which occurs in the special case of viscous fluids in an aquifer of constant permeability
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