I have been reading up on batteries for boats. Not start batteries but the type and capacity of batteries one needs to live on a boat where your power is stored in batteries and one might have 1,000-2,000 Amp Hours of 12 volt batteries. Reading what electricians that deal with these batteries have to say, there are many companies selling deep cycle batteries but few companies that make them. There is no regulation on batteries and companies will just slap a label on a battery that says it is marine deep cycle when in fact it is not.
Lead acid batteries have a limited lifetime which is reduced when a decent amount of power is taken from the battery. The battery lifetime, i.e., number of cycles the battery can go through, is also reduced if the battery is not fully charged before it is cycled down again. For instance, using 50% or more of the power stored in the battery will greatly reduce the life of the battery compared to only using 30% of the power in the battery. As power is drawn out of the battery, voltage decreases and around 50ish% of the battery capacity it the voltage might be under 12 volts.
Rolls is one of the well respected battery OEMs and here is the spec sheet on a small 85 AH battery.
http://www.rollsbattery.com/wp-content/uploads/batteries/12FS85.pdf
If the battery is only drawn down 10%, it has a lifetime of about 1,800ish cycles. If 30% of the power is used the number of cycles is about 1,300ish. But using 50% of the battery's energy drops the the lifetime of the battery to 1,000 cycles. If 90% of the energy in the battery is used, the number of cycles is about 300-400.
For a sump pump battery that is only used during a power outage this might be a who cares.
With the above in mind, check how many Amp Hours the pump will use and figure/guess how long the pump will run. Then buy a battery that has at least double the number of Amp Hours if price permits. More Amp Hours is better if the money makes sense.
It is also critical the battery is fully charged before the next draw down cycle and the battery should be charged correctly.
I would just use an AGM battery so one would not have to worry about the battery's water level.
If flooding was a real risk when the power was out, one could buy batteries with larger Amp Hour capacity and/or connected them together to produce much larger capacity.
Later,
Dan