I just read this article by scientist who propose making giant snow machines to basically move the eroding ice shelf further inland. It’s been described as pretty much cost prohibitive (despite saving the coasts from rising water levels??) and would be on the same level of effort as putting a base on the moon.
Here’s the link: https://advances.sciencemag.org/content/5/7/eaaw4132
So instead of doing that, why not drill a large hole straight down into one end of a section of the ice shelf (closest to land but still a thick part of ice) and insert a large tap and then use large fresnel lens to melt a slope in the ice and funnel the melted ice into the hole and out the spout to be diverted further inland which would eventually refreeze later?
You would just have to melt the section of the ice shelf at a graded slope so that gravity does all the work. If you look at how water towers work and then consider the thickness of the ice shelf, you could calculate amount of water pressure and will see that it would suffice to move large quantities of water at a very fast pace.
Just a thot