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What are the major design considerations of a burn pit?
How can one know that the one available suits the requirements? Or that may have been over-designed or under-designed?

In oil & gas practice, burn pit design is typically guided by API RP 521, API Standard 537, and NFPA 30.
Over and above these, applied environmental regulatory guidance is considered.
This now depends on your actual data whether the burn pit is over-design or under-designed.
Share some more information to assess & assist.