The next time there's a heavy rain, put on your boots and raincoat, and grab an umbrella. Then go outside and watch the water run off your roof, into your gutters (so to speak), and out your downspouts. Hopefully, your gutters aren't overflowing and your downspouts have no leaks. If either do, either caulk them with gutter-caulk or replace them. If the DO or DON'T leak, watch where the water flows. If it's flowing TOWARDS the house, then you have what's called Negative Sloping. You need to have the landscape at the foundation SLOPE AWAY from the foundation, at least 1/4" per foot.
The items I've asked you to look into may 'fix' your leaking wall. IF the problem persists after the aforementioned fix(es), post up with MORE info about the area in question and what, and where, the water comes from and goes.
My best to ya and hope this helps.
PS: I don't answer your question directly, but again, you may not have to dig.