I'm with Stainless on this. The RL situation is that the dam is unsuitable for blowing, however do what you want in your own game. If however you're looking for as close to RL as possible, expect to need several tonnes of explosive planted deep within the earthen bank to blow it.
It might actually be simplier to just dig the bank away with a backhoe...
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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