"Deep puddles" refers to large and filled with water areas on the ground. It means that the puddles are not shallow, but rather have a significant amount of water in them. Full definition
I've stepped in deeper puddles of water, but the filmmaking is agreeably old - fashioned and the performances — except for Ben Foster, who appears to have already reached his expiration date — are equally sturdy, with Russell Crowe redeeming himself, retroactively in my case, after the abomination that is Ridley Scott's witless American Gangster. (slantmagazine.com)
Electrical connections and body openings are sealed, and the air intake is positioned higher up to protect your Jeep as you traverse the overflowing creeks, streams and unfortunately deep puddles of mud. (landerscdjrnorman.com)
As I held Harper's hand to wade through a particularly deep puddle, my mind focused back to my own steps on this ground. (soulemama.com)