Jules,
Defining skin depth (for purposes of attenuation of alternating magnetic fields) as the thickness required to attenuate that signal to 37% of the original level -
for copper, Cu
50 Hz...9.3mm
1 kHz...2.1mm
10 kHz...0.66mm
for aluminum, Al
60Hz .... 10.9mm
1kHz .... 2.67mm
10kHz .... 0.845mm
Sorry, I can't provide the formulas nor the 60hz value for Cu... I can't find my copy of Ott's book.