Alfven Profile in the Lower Corona: Implications for Shock Formation

Recent events (e.g. Tylka et al. 2005) indicate that CME-driven shocks can form at 1-3 solar radii and are responsible for the GeV/nucleon energies observed in some ground level solar energetic particle events. The formation of shocks depends crucially on the background solar wind environment, in particular on the profile of the background Alfvén speed in the corona. Significant strides have been made in the effort to develop realistic models of CME events; however, there is no consensus as to the profile of the Alfvén speed in the lower corona. Here we provide an overview of ten state-of-the-art models, which includes various methods to model magnetic field and density, as well as different strategies for accelerating the solar wind. We present the Alfvén speed profile for each model in the lower corona. We find that the "valley" and "hump" structures anticipated by Mann et al. (2003) are sometimes present, but in some models the Alfvén profiles drop off quickly. We discuss the implications of these profiles, such as whether it will allow a shock to form, dissipate, and form again (i.e. multiple shocks). Our study indicates that it is crucial to establish the Alfvén speed as a function of height before determining if shocks can form in the lower corona.