I think you need to look into some of the advice that David Hall gives in the lawn forum, about ways to aerate the soil (he has a method using clear shampoo, but there are also physical aeration devices) and after that, adding a layer of compost, lavasand, and maybe even mulch to improve the soil.
If gjc5tx can put up photos that show us what is growing in the yard, of what is or isn't growing in that particular area, and also show us a view of the slope involved, etc. that would help. Also a photo of the sprinkler setup, any information that lets us get a look at the circumstances and to consider the options. The water runoff may partly be a sprinkler issue, but I suspect the runoff is demonstrating a soil issue first and foremost.
_________________ Northwesterner
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