Here is a picture I took from 2nd floor window. Just noticed the "dry rivers" on my lawn. Do I have a mole somewhere in the lawn?
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This does not really look like moles. We had an infestation of these things 3 or 4 years ago, and they left "raised" trails all over the yard. You might check the yard closely, and look for any holes, about the size of a silver dollar, where they have come to the surface. If you do find any such holes, stick the garden hose into the hole, and let it run, while watching the area closely. The water will get them moving, and you can easily follow them as they move through their tunnel, and eventually surface. I spent weeks getting rid of them, and so far, so good. I used the water hose, and stomped them as they surfaced. Then I put Mole bait into their holes, and over the course of the Summer, I finally got rid of them. They can sure make a mess of the yard.
If these trails are Not "raised", I would suspect that you have some sort of insect/beetle/grub infestation, and you may have to spread some insect killer (Sevin, etc.) around.