Squeeze the bits of peel (pith side up) into a glass or bottle. This allows you to express the oils from the peel.
Add your Alkaline water to the Glass, the oils will rise to the top, some of it (very little as oils are hydrophobic) will mix with the water, giving it a lemon flavor similar to lacroix.
Just an aside, you can make Alkaline lemon water.
It do it: