Hi, I think you should take a look at some publications (i.e. articles) about pervious concrete, so you can observe the common tests. Permeability, porosity and compressive strength tests are needful according to the works that I've seen.
What test you will conduct or not depends on what you are trying to do. If you want to use the same batch of concrete mixes for beam or any other construction you should've prepare the specimen for compressive and tensile strength test to know the strength properties of concrete.
I think any test of concrete should be as close as possible to the design loads and impacts. What is written in the standards can help you. But all the tests, of course, carry out immediately does not make sense. In the future, for the sake of interest, you can test the concrete for all requirements. But, for starters, you can choose the most important.
Dear Milad, You must first prepare a research question for your subject and next, based on question (Problem statement) you would be able to provide a proposal and then you will see which type of test you need to fulfill.
Which type of test you want to do depends upon which property of pervious concrete you are going to study. First select your domain and then you can find find out which tests you need.