Ok, see my idea below so far... more details to follow later. Constraints on the site call for a partition type bog. The bog area would be built using construction wood (Douglas fir or pine) and pond liner. Obviously, drawing is not to scale
I already have a mechanical filtration system so I plan to reuse the same pump.
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I'd insure 6" liner and wall above bog water level.
I'd insure 6" min drop at water fall/overflow.
Use at least 12" of pea gravel.
A bog should have a manifold pipe with slits cut 1/3 the way through for water egress.
You might have to test out the gph of your pump to insure you get enough push for the bog to work water up and through the pea gravel. Also, you're pushing it from below which should work, though most send the water up and over/through the bog sides/top.
Use shallow rooting but aggressive plants in your bog, at least, in addition to any others you want for visual appearance. Fast growing low growing plants will take out the most nutrients but will also require you to thin more often. After you work the bog for a while, you'll tweak for your specific pond requirements.
Not sure of your exact setup but it wouldn't be a bad idea to send your water through your mech filter and then pump it's output into the bog inlet. I have something similar though most just send water directly to the bog manifold.
General rule of thumb is the outlet is twice the diameter of the input, so if you plan some sort of waterfall weir output, make it able to allow at leat that much water to escape with leeway to make it larger or the ability to add more outputs in case your bog clogs a bit (from roots, etc) and the water level rises above the gravel.
Have your pump OFF the pond bottom as you don't want to send solids/debris to your bog. Most lift about 12" by setting it on bricks/blocks/milk crate.
From your pic; are you planning on having the wood come in contact with your pond? (it looks like your bog will be raised but OVER and IN the pond, from your pic; this is correct?) If so, I'd not unless you can keep the wood protected from direct water contact. A better idea is to use conc blocks, lift the entire bog OVER and out of the water, use 6x6 for the bottom, 4x4 for the sides, and line the inside. This way you won't have any wood rotting in your pond. My bog is built using 4x4s on three walls and a dirt backside, then lined over it all, with stone facia on the exposed wall.
Looks good, other than those points.