> He’s working with a company to develop nanosensors able to detect movement in the iceberg so he has advance warning of a flip

The "nanosensors" doesn't sound likely at all. If I were to tasked to create a "iceberg sudden flip detector" I would break the problem into two parts. Part 1 is monitoring the shape of the iceberg as it is changing. Part 2 is modelling how stable the iceberg is given the measured shape. Both sounds like a wicked hard problem even if you have a large team of engineers.

For the first maybe you could do periodic ultrasounds from the inside out. Embeding an array of accustic transducers and an array of microphones in the ice and then using signal processing black magic to pick out the shape of the echo you get back from the ice-ocean surface. Or just hang around with a ship mounted side scanning sonar and monitor the iceberg from the outside.

The second one should be a "simple" monte carlo simulation. But to validate it you would need data recorded from the evolution of many icebergs. Which I suspect would be expensive and lengthy to obtain.

Easier approach: predict “it’s going to flip at noon”, and then bomb it at noon until it flips.