You have to add it all at once. The liner is safe as long as you don't go massively above the shock level based on y our CYA level. You have to get ahead of the organics. Adding chlorine slowly (over hours) just teases the algae and doesn't get ahead of killing it.
If Pool Math says you need six gallons to get to shock level, add six gallons. Add it slowly in front of a return and brush under where you added it when you are done to mix it well and make sure not is pooling on the bottom where you added it.
Two things consume chlorine organics and UV. But, you have to keep it as close to shock as possible to get ahead of the algae. Again, an algae colony can double in size in a few hours. So, if you don't keep it at shock level during the day you are growing algae during the day and killing it at night. You will never win this way.
If Pool Math says you need six gallons to get to shock level, add six gallons. Add it slowly in front of a return and brush under where you added it when you are done to mix it well and make sure not is pooling on the bottom where you added it.
Two things consume chlorine organics and UV. But, you have to keep it as close to shock as possible to get ahead of the algae. Again, an algae colony can double in size in a few hours. So, if you don't keep it at shock level during the day you are growing algae during the day and killing it at night. You will never win this way.