Even though many researchers now recognise that the Silurian palaeoclimate show signs of large fluctuations - resulting in the carbon excursions, the mechanism behind the climatic shifts is not well understood.
Recent research from Munnecke et al. 2014 (1) suggest that the carbon (and oxygen) isotope excursions that mainly affected low latitude palaeoenvironments, were probably due to climatic shifts between humid (low C) and arid (high C) climatic conditions. The possible consequences of these two climate regimes is shown below:

One of the only certain climatic regimes that occurred was in the early Silurian, where 3 of the 7 'Early Palaeozoic Icehouse' (EPI) events occurred (2). Munnecke et al. 2010 (3) note that much of the Silurian is 'sandwiched' between the EPI and the greenhouse of the Devonian, possibly suggesting a prolonged transitional period between the 2 climatic regimes.
Some observations suggest that sea levels fluctuated very wildly, Munnecke et al. 2010 (3) states they were up to the order of 140 m. This is partly related to recent oceanic circulation modelling performed by Servais et al. (4) who state that the palaeogeography of the time (large northern ocean and the Gondwanan land mass at the south pole - see below) would have possible resulted in a halothermal circulation, rather than the modern day thermohaline circulation, essentially due to the restrictions a possible Mediterranean-like production of denser water at the lower latitudes (as indicated in the diagram above).

Image source
So, in summary, the oceanic-atmospheric interaction of the Silurian is considered to be unstable (1)(3), with oxic and anoxic regions uncertain (4), but the effects were clearly seen with variations in the climate from humid to arid and large fluctuations in sea levels.
References
(1) Munnecke et al. 2014, Silurian climate development University of Nuremberg
(2) Page, A., Zalasiewicz, J., Williams, M., Popov, L., 2007. Were transgressive black shales a
negative feedback modulating glacioeustasy in the Early Palaeozoic Icehouse? In:
Williams, M., Haywood, A.M., Gregory, F.J., Schmidt, D.N. (Eds.), Deep-Time
Perspectives on Climate Change: Marrying the Signal from Computer Models and
Biological Proxies: Special Publication of the Geological Society of London. The
Micropalaeontological Society, pp. 123–156
(3) Munnecke et al. 2010, Ordovician and Silurian sea–water chemistry, sea level, and climate: A synopsis Palaeogeography, Palaeoclimatology, Palaeoecology
(4) Servais et al. 2014, Possible oceanic circulation patterns, surface water currents and upwelling zones in the Early Palaeozoic Special Issue: EPGC - Early Palaeozic Global Change