The American Petroleum Institute (API) has a number of codes and standards that relate to non-destructive testing (NDT) for the oil and gas industry. Here is a list of some of the API codes and standards that are relevant to NDT:

1. API RP 581: Risk-Based Inspection Technology
2. API RP 583: Corrosion Under Insulation and Fireproofing
3. API RP 586: Guide to Inspection of Exchangers
4. API RP 591: Process Valve Qualification Procedures
5. API RP 594: Check Valves: Inspection and Maintenance
6. API RP 599: Metal Plug Valves – Flanged, Lug, Wafer, and Butt-Welding
7. API RP 651: Cathodic Protection of Aboveground Petroleum Storage Tanks
8. API RP 652: Lining of Aboveground Petroleum Storage Tank Bottoms
9. API RP 653: Tank Inspection, Repair, Alteration, and Reconstruction
10. API RP 686: Machinery Installation and Installation Design
11. API RP 7G-2: Inspection of New Casing, Tubing, and Plain-end Drill Pipe
12. API RP 7G-3: Inspection of Used Drill Stem Elements
13. API RP 7G-4: Field Inspection of New Rotating Equipment
14. API RP 7G-5: Inspection of New Rotating Equipment Utilizing Radiographic Techniques

These codes and standards provide guidance on the inspection, maintenance, and repair of various types of equipment and components used in the oil and gas industry, including exchangers, valves, tanks, and rotating equipment. They also provide guidance on corrosion protection and the qualification of NDT personnel using various NDT methods, such as radiographic testing.