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If your mattress is very wet (having been dunked in a bath or used a hose on it), cover with towels and walk up and down on it until the excess is soaked up. If the mattress is only slightly damp (spot cleaned), do either same as previous or use a Wet Vac to soak up excess.
Finally stand mattress on side next to radiator and rotate as necessary. It will dry within the day. This has worked with single mattresses raging from 5 - 12 inches thick.
By jshaft13 
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Here are questions related to Cleaning a Memory Foam Mattress.
How do you remove odor and other type of deep odor from a Memory Foam Mattress
By Tom M from california
How do I clean and deodorize my Sealy Posturepedic mattress? It smells like sweat!
By Mary M
By just jen09/06/2013
I totally believe in white vinegar. I would think on a sunny or dry day you should try to spray it on the exposed mattress (wash the cover with white vinegar in place of bleach and in place of softner)... cheap try!
How do you get blood stains off a memory foam mattress?
By Doug from Belleville, MI
How do I remove sweat from a memory foam mattress?
By Linda from Belfast
How do I get the urine smell and stain out of a memory foam mattress?
By Judy from Lincoln, NE
By erin 12/13/2010
I used natures mirical on my daughters new mattres when my cat peed on it. I poured it right from the bottle. It worked. No smell at all. great stuff for every thing. Got it in the pet store.
My house caught on fire, but we were able to save my newly purchased bed. It is a memory foam bed and smells badly like smoke. How do I remove the smell without damaging the mattress?
By hopesanddreams42 from City, PA
By angie 08/28/2010
I would try a no vaccum foam carpet cleaner & get some hair refresher spray by tresseme fresh start. It gets smoke smell out of your hair without shampooing. Maybe even a catalytic oil lamp & use to clean purify & refresh room. A carpet cleaning company can maybe do cleaning for you.
Milk was spilled on my seat, which has memory foam in it. I wanted to know if I am going to have to replace the foam in order to get the milk smell out. Is there anything else I can try? Please help me. Thanks.
Sheryl from Oklahoma City
By Debi savicky03/02/2009
Go to your local pet store and buy Natures Miracle. It is guaranteed so no worries, and it works on any odor, on any fabric safely. It's an enzyme that will even remove skunk odors. I have used it for so many things, I would never be without it!
How do you clean memory foam mattress pads?
Kathleen from Houston
By k w (Guest Post)02/28/2009
I suggest to use ammonia to clean most things, good luck.
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My son is still a bed-wetter and he and his brother sleep in bunk-beds with the "memory foam" type mattresses. I don't know exactly how to get the damp urine stains out of his mattress. Does anyone have any helpful ideas at all?
My son is still a bed-wetter and he and his brother sleep in bunkbeds with the "memory foam" type mattresses. About 3 times a week he wakes up in the morning to a wet bed. I've tried putting several towels under his sheets, a waterproof mattress cover, and a sleeping bag, but no matter what I do his urine soaks all the way through to his mattress. (I don't let him drink any liquids whatsoever after 6 pm and I make him use the bathroom at least 3 times before bed.) He's just a pee-pee factory! Anyhow, I don't know exactly how to get the damp urine stains out of his mattress (it's no ordinary mattress, it's absorbent).
Does anyone have any helpful ideas at all?
Help me please! ARRRRRGH!