Is a tibial plateau break caused by being hit by a dog considered personal injury?

I took my dog to a dog park operated by the city I live in. There's no sign indicating that people come at their own risk. However, I've always believed that people are liable for the behavior of their pets. Within ten minutes of arriving at the dog park, another person's 80lb dog running at full speed mowed me down. I took a VERY hard hit and a HARD fall. I suffered a tibial plateau fracture, possiblity damaging nerves throughout my leg. I had surgery about three weeks ago and have suffered great pain and frustration. I am non-weight-bearing for at least three months, hence either wheelchair-bound or on crutches. I need physical therapy for the next three to six months. I cannot properly care for my household, dogs, myself and have incurred numerous out-of-pocket expenses.