Anyone used this method to unclog outdoor drain pipe?

Here's my situation. I've got two drains in my backyard. Drain 1 is connected via pipe to Drain 2. Drain 2 is connected to another segment of pipe that leads excess water away from my backyard. It appears both segments of pipe (the segment which connects Drain 1 with Drain 2 and the segment which connects Drain 2 with the runoff pipe) have been clogged with black muck, as evidenced by the fact that both drain reservoirs are holding water above pipe level and thus not draining the water effectively. As a first course of action, I've cleared all muck and water from the drain basins themselves; now I just have to find a way to clean out the clogged muck in the actual pipes. I came across this method, but want to make sure it wouldn't put so much pressure on the pipes to bust the pipes instead of forcing the muck to unclog. The pipes are simply the corrugated polyethylene variety and are of course buried underground.

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