Whats the best way to drain standing rainwater out of my backyard without re-grading?

I bought a new house recently and when it rains there is water left standing in my back and side yards and it takes a day or two to drain out. All my sod is brand new and its getting ruined. Would burying a plastic drain conduit (with perforations on top) work to help drain some of the excess water out? The water seems to be collecting at a low point in the yard and turning the area around it into mud, which my dog is beginning to discover on her bathroom breaks. The rest of my yard is uneffected for the most part but I want to make sure that this will solve my problem before I go digging up my yard.