I am not familiar with mudjacking to prevent wildlife nuisance issues with skunks, so I contacted Bob Massey, a District Wildlife Biologist with the Illinois Department of Natural Resources. He provided this response:
Mud jacking is the use of heavy duty, specially designed pumping equipment, to fill gaps under various substrate. In addition to merely filling the voids, it can actually be used to lift pavement, sidewalks and even foundations. Generally speaking, a very flowable mix more akin to grout is used for this process. As such, extreme care should be used and a reputable contractor called and made well aware of all potential drain tile issues. You could also check out other materials, besides mortar, for the process. Urethane materials that expand to fill voids may also be used, and may not present the hazard filling the drain tiles. Although I have not heard of anyone using a contractor to "mud jack" for animal barriers, it is common for landowners to pour thin concrete mixes down holes around foundations to fill them to keep animals out. My guess would be expense is the primary reason this process is not used more often. The equipment and manpower would likely make the process cost prohibitive. The cost should be weighed versus the discomfort of this happening again in the future. Reinstalling the wire more securely and deeper than the first attempt would likely be much more cost effective and not chance filling the drain tile. Breaking out the current concrete and repouring may also be more cost effective than mud jacking, so several contractors should be called for each of the processes.