Periodic audit reviews are crucial in maintaining API-510 compliance for pressure vessel operations as they provide an objective assessment of adherence to the standards. These audits help identify any deviations or lapses in compliance before they lead to safety issues. The review process typically involves examining maintenance records, inspection logs, and compliance documentation to ensure that all required procedures are being followed correctly. Audits also offer an opportunity for feedback and continuous improvement, allowing organizations to update their practices in line with the latest standards and technologies.