Dig out a hole right beside the tank 2 or 3 feet deep. Right at the edge, you'll either see loads of water straight away or the hole will fill up very quickly. If it doesn't fill with water that quick say two hours it's probably not your water table being too high.
Water often flows off the (hard)ground into the tank where the lid is not sealed. That is the main concrete lid. This would often be the case where there is nicely cut grass around the tank. A cheap and hopefully quick solution is to dig out all around the lid of the tank and try and seal it (don't know what with), then put in a drainage pipe covered with stone, then you would need a soak hole or better still feed that drainage pipe into your rain water system. Best not to do that if you have persistent water filling the tank as you may polute the rain water system with sewage.