What I would do
Fictional Story – Instead of advising you, I am going to tell you what I would do if I found an area sunken in the ground on my property with your parameters of perimeter concrete reinforced screwpiles. This is for a structural room for many uses [acoustic improvements would be added if that was the final direction].
zz finds a very large cover that is keeping a sunken area from filling with rainwater.
zz investigates and finds that the sunken concrete walls are scalloped on the vertical surfaces, and they have proper rebar [in fact epoxy rebar- ? is the ground corrosive?]. The concrete had been placed ~25 feet deep.
zz excavates further down to ~14 feet / compacts the soil / places geotextile fabric / lays in a bed of drain gravel approximately 2 feet deep / places in at least 3 layers of very thick plastic fabric – crisscrossed & taped if necessary. There is debate: plastic vs. NO plastic. I am on the plastic side.
zz starts the floor & monolithic connection rebar / #4 rebar [1/2 inch] – this size due to critical spacing & bends / rebar 6” OC [on center] / at the walls the rebar is bent upward at least 18 inches – preferably going into the deeper spaces created by the scalloped wall [the result of the circular concrete screwpiles touching & bonding / the rebar is elevated with plastic stands so that it sits 3 inches above the thick plastic.
zz orders the high strength concrete with ¼” & smaller aggregate / high sand mix / the additive Xypex [water & some vapor control]
http://www.xypex.com/ will be in the mix & synthetic fibers for initial crack control & stainless steel fibers -
http://www.nycon.com/ncwp/
The concrete will be poured and vibrated to a depth of 6 inches [not a wet batch – it is weaker] & several samples will be poured in tubes on the side. Make sure the concrete supplier knows that you will be taking these samples and having them sliced & tested to confirm the ingredients and strength.
XYPEX is used worldwide in Billion $ dam & waterfront projects. It is also used in backyard projects.
zz realizes that the strength of the walls is in place [not water & moisture control]; therefore the forms for the flat walls can be built 2 inches from the thickest cross section of the concrete screwpiles.
http://www.ductal-lafarge.com/ to learn about concrete with no rebar used for major bridges.
You could probably go down to 1 inch, but harder to vibrate in the mix.
The scalloped walls are extensively cleaned & treated so the new concrete will bond.
Remember that rebar zz bent upward into the scalloped wall area; this wall will connect here and if the first pour is treated properly you will not have a cold joint. You will have a monolithic structure.
No additional rebar is needed due to the existing concrete screwpile wall. zz orders the high strength concrete with ¼” & smaller aggregate / high sand mix /the additive Xypex [water & some vapor control]
http://www.xypex.com/ will be in the mix & synthetic fibers for initial crack control & stainless steel fibers -
http://www.nycon.com/ncwp/ . NOT A WET MIX. Vibrate in the mix.
Best to you,
zz.