The November-December issue of American Scientist describes current efforts and plans to detect and measure gravity waves. The passage of such waves should produce "space distortions" detectable as changes in the distance between two objects. Crude "detection" has been reported, but the size of the distortion depends on the distance between the two objects, and terrestrial distances are too small for adequate sampling.

The plan is to toss multiple "laboratories" into space, each carrying a small reflecting object that will be "floated" within the carrying vessel. The vessel will control it's own position to "stay clear" of the reflector mass, so that the object is affected only by gravity.
To achieve the detection objective, at least two such masses will need to be placed approximately 5,000,000 kilometers apart (5 Gm) and the "motions" of the sensing masses must be measured to within around 0.00000000000005 meter (0.05 pm ).

The ratio between the distance between sensors and the change in distance that must be measured is about 10²³:1.

They think they can measure it.

Safest access to the article is probably at American Scientist, select the article The Sounds of Spacetime.

Direct link to the articles may open at Sounds, but there are some access limitations based on membership and/or subscription status. (It works for me, but I have a cookie from them.) The article in pdf format is available, but it's free only to Sigma Xi members, $5 to nonmember Am Scientist subscribers, and $12 for the general public.

If you get to the Table of Contents (first link) there may be other articles of interest, but most of them appear to require "credentials."

John