Is it possible to apply for intellectual property rights for production processes? Are there relevant national regulations?

Yes, you can apply for product patents.

In terms of different levels of protection, there are invention patent applications, utility model patent applications and appearance patent applications.

In terms of the type of patent application, there are product patents (including devices and equipment, etc.) and method patents (preparation process, process flow, etc.).

Specifically, it depends on the technical content of your application and the focus of the object to be protected, and some patent applications combine both types.