How would you backfill this (picture included)

[madwil]

you can fill the trench with riverrock or pea gravel- will allow for drainage with erosion around the pool, and all the dirt won't wash in...
but as stated, you can just leave it... eventually the bottom of the pool may start to corrode, but my AG for instance is buried 3 foot on one side and about 6 inches on the other!

[johnnysnok]

Here is our pool with a retaing wall and rocks around it.

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[johnnysnok]

Let me try this again

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[madwil]

Awesome! and cool yard too!