The impact of side wall cooling on the thermal history of lava lakes

Most simple models for cooling of sheet like intrusions, the Hawaiian lava lakes being one example, neglect the effect of side wall heat loss on the overall thermal evolution. In this paper we extend a conventional one-dimensional (1D) model for cooling of sheet like intrusions to account for lateral heat loss by either prescribing a fixed side wall heat flux, or a heat flux controlled by heat transport in the surrounding wall rock. In the first part of the study we analyze the general interplay between side wall cooling and the thermal evolution of the system; the second part focuses on a comparison between our modeling results including models without and with lateral heat flux, and the Hawaiian lava lake data. This comparison leads to the following three main conclusions: (1) Side wall cooling does have a significant impact on the cooling history of lava lakes. (2) Models assuming a time dependent temperature profile in the wall rock lead to a better fit with the measured temperature data. (3) Due to the sluggish conductive heat transfer in the mush its thermal evolution is significantly decoupled from the temperature evolution of the convecting bulk liquid.