It may be possible to detect the source using thermography but I don't think it is a very good bet. Even then, a solution to the problem would still need to be developed and implemented. The issue you'd need to contend with is whether the water is primarily surface (you might have a chance of seeing that from outside, say from the roof) or subsurface (you might see that from inside); both would be very, very tough.
That said, solutions should not be that difficult regardless of the source. Roof runoff and sump pump discharge should definitely be made to flow well away from the house. Ground water from the from the grade out back could be intercepted by a "French" drain, essentially a ditch filled with gravel to an outflow. I've seen this combination used very successfully in many cases. I don't mean to be practicing engineering on this messageboard but would suggest a visit by a good engineer or drainage expert is probably the best way to do. A flooded basement, especially if mold becomes involved, is probably at least as expensive as solving the problem itself.
Thermally Yours,
John
ASNT NDT Level III #48166
The Snell Group
www.thesnellgroup.com
www.thermalsolutions.org
800-636-9820