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The miniature settlement on Terra 10 was threatened by lava due to increased volcanic activity, necessitating its relocation to the planet Verdanis once they got the attention of the passing USS Enterprise. (TAS: "The Terratin Incident")
In the Julian Bashir, Secret Agent holoprogram, Hippocrates Noah attempted to release "millions of tons" of lava from beneath Earth's tectonic plates, causing the surface of the planet to subside and be flooded by the oceans. (DS9: "Our Man Bashir")
Background information Edit
Using CGI to generate a flat plane of a volcanic environment which is in Star Trek Into Darkness and creating deep water displacements with Autodesk Naiad gave the VFX artists who worked on the movie at Industrial Light & Magic an idea of how high the volcano's lava waves would be. (Cinefex, No. 134, p. 72) The movie's visual effects team put a lot of effort into trying to accurately represent the volatile nature of the lava. "We did a lot of fluid simulations on the surface of the lava, to make it as exciting as possible," stated Visual Effects Supervisor Roger Guyett. "We found bits of reference to help us on our way." (Star Trek Magazine issue 172, p. 48) CG Simulation Supervisor Dan Pearson led a visual effects system that depicted the lava waves, based on the temperatures of the lava and whether it would form a crust. "We wanted it to feel kind of like a crazy storm might feel on water," remembered Guyett. "Every now and then I’d have visions of other movies where characters are standing on stormy rocks in the middle of the ocean and waves are splashing around them – Dan did a superb job of making that work."  Pearson himself observed about the lava waves, "They were quite violent [...] and Naiad worked well in allowing us to control viscosities." Simulations of the active lava involved about forty render passes. "Animators blocked out larger splashes," Pearson said, "but we mostly let the simulation do its thing." (Cinefex, No. 134, p. 78)
For Star Trek Into Darkness, freezing lava effects – in which the transition from lava to rock became the most difficult part – involved twenty different simulations. "We couldn't just freeze the velocity because lava that was not attached to the main burst was already falling," explained Dan Pearson. "We tried using depth values within the sim to freeze lava velocity, but that also left floating islands of rock hanging in space." Ultimately, ILM used Naiad viscosity values to internally coagulate lava, while exterior droplets continued to fall. Pearson commented, "The problem was scale – the lava spurts were 2,000 feet high – so we had to make sure gravity was correct as falling pieces dropped through flame." (Cinefex, No. 134, p. 81)