You have four batteries each of 12 x 250 watt hour capacity; so the total is 12 kWh. However, that would mean totally discharging all the batteries. Lead acid batteries do not behave well when you do this, and need to be specially designed so that you can draw as much energy as possible from the battery without shortening their life. Such batteries are known as deep cycle batteries. Even so, I don't think they stand continual deep charging and discharging as well as, say, Li-Ion. Basically you will have to keep a residual charge in the battery - maybe 25% of its rated capacity, and this charge is useless as far as the external circuit is concerned. It in effect increases the cost of a storage system by, in that case, 25%.
A deep cycle battery is a type of lead acid battery, but it is designed for completely discharge, its mostly use for solar system's because there is no need of sudden spike for running the system..that's why its life cycle is more.. For example AGM is best deep cycle battery...and when we connect 2 batteries in series then current will be the same in output but voltage become double as the capacity of battery. Once deep cycle battery is fully charged then run it at no load conditions for some time to enhance its efficiency..and after 90 days measure or check the water level of battery to maximize the life time efficiency..thanks..if you have more detail needed, kindly contact me..i have advance reaseach on it in Delft Institute Netherland Renewable Energy Lab.
Walid Emar , you appear to be asking two different questions. First, two 12v batteries in series will increase the voltage to 24v at the same amp-hour rating. In parallel, potential will be consistent at 12v but Ah will be additive, therefore 250Ah + 250Ah = 500Ah.
Deep cycle batteries (solar/renewable batteries) are associated with types of batteries that are not lead acid batteries, i.e. flooded lead acid, sealed (AGM, Gel-cell), or lithium ion. These types of batteries are used because of their ability to be cycled versus being used during continuous generation. This means that discharge can occur anytime and to an extent beyond that what is recommended for lead acid batteries.