Well of course you could just throw it out and put it in a landfill but I don't think that's very responsible. If you take them to be crushed and reused that's much better isn't it? The place I go is big- they make and sell aggregate- it has a minimum $15 charge for dumping. Sometimes free if you smile nicely, you don't have much and it's a quiet day. Check your city for recycling options- it is increasingly in the interest of municipalities/counties to steer people away from their landfills and help them recycle. Good luck.

Ceramic tile is known to do stuff like this (tenting) because it is slightly porous. Porcelain tile has LESS chance of tenting because its porosity is extremely low - almost impervious to moisture. It is much lower than ceramic. And yes, it can take as much as 10 years for a "bad" install to show itself in wet conditions. It can take that long to get the tile so wet that it's expansion is so great it breaks the bond of the adhesive. And yes...cut back adhesive is a poor substrate to bond to (for the Original Poster). Both of these photos (OP and andreadell79) are complete redos. Once a section starts to tent, you have to assume the WHOLE THING is going to go to he!! in a hand basket. Sorry but these are complete redos.

Edie, I am NOT an expert in this. Only advice I can offer for you would be to post this question (if you have not done so) in the John Bridge forum. Hope that helps.

Here is a link. It's for a specific company but should give you some guidelines on care and maintenance of your tile. https://glaze-n-seal.com/seal-maintain-saltillo-mexican-tile/