NRO - Contractors will compute their bid price by evaluating several factors. The value given of each factor will depend on that company's resources and will not be the same for each bidder:
1) Cross section of the wall. Do the company's workers have the skills to form a wall that is not a constant thickness?
2) Height of a concrete placement. Eighteen feet is a lot for a single pour (2700 psf, hydrostatic concrete pressure... worst case). The Contractor will have to place the concrete slowly (vertical feet/hour) to keep form pressure reasonable. Another way is to use forms built like battleships. The length of each wall pour and wall thickness will be needed to determine if the concrete volume of the pour is reasonable for "slow" placement. "Slow" placement creates other problems, but will skip that for now.
3) Two placements (say, 9' high each), allows the Contractor to use less total square feet of forms(saving $$$) assuming the forms will be reused for the second lift. However, two pours will take longer (more days cost $$$ for labor and equipment on the job).
4) Temporary scaffolding may (probably) be needed whether one lift or two. A Contractor's resources could may one way or the other the "best" for them.
5) Quality control. Internal vibration of concrete inside an 18' deep wall form can be done (lot of rebar in the way)... but the deeper the forms, the more difficult.
As a former bridge contractor we built tall railroad crash walls as part of certain overpasses. Similar forming to a retaining wall. My recommendation is keep it simple, put aside "saving concrete"... IMHO, that is false economy.
My first choice, consider a wall with one constant thickness; each bidder has the option for one horizontal construction joint at an elevation proposed for your approval.
If a single thickness is not acceptable... I believe you will get more bidders and lower prices for a two-lift wall with two thicknesses.
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