Sounds like you are talking about doing a french drain. Theoretically it should do exactly what you want. You may want to make them deeper depending on what your static water level is. If you actually have water 5 ft down I'm not sure that just a french drain would work. You could also put a perforated pipe down the middle of your drain with a sump pump to actually move the water somewhere useful, like a pond of irrigation water tank.
If nothing else you could load it up into barrels and ship it out to California, we can use all the water we can get.
-Cosmostrator