Last time I had to do this, the remediation company also used some sort of super-dehumidifier (a big ol' thing) that sat on the carpet and pulled in the air at floor level. I was shocked at the amount of water that continued to drip out of that machine via a hose they routed into a sink, even after three days. They left all that equipment running for 4 days before the probe they used to check for moisture showed that the carpet and underlayment were dry enough to stop.You need those big blowers to dry it fast enough to avoid as much damage as possible. Also some warm air as well.
The example above was from a fairly small room and was paid for by the insurance company of the plumber who screwed up some work and, the day after they finished a job for me, one of their pipe fittings failed and dumped a moderate amount of water into a wall. I can't imagine what's required to fix an entire water heater's worth of moisture being dumped into the carpet of my house but it's clearly a hell of a lot more than I am capable of doing on my own.