BMW Blown Head Gasket
In general engine repair, when a head gasket "blows", it is leaking someplace, as in: From the cooling system to the outside, into the oil (ending in the crankcase), into an adjacent cylinder, or combinations of the above.
Cooling system: use a radiator pressure tester to check the integrity of the system, including the cap...outright leakage visible, sound of air from oil fill cap hole from communication of cooling system to adjacent oil passagel.
Oil system: A Leakdown tester, or just an adaptor that introduces air pressure into the cylinder thru the spark plug hole will suffice....sound from the crankcase (see above), or radiator (see above).
Adjacent cylinder: compression check, cold or hot, will show bleeding from one to another...low readings on adjacent cylinders. Also check for sound sources listed above.
Water leaking into the oil will leave residue in the oil, and the broken gasket can allow oil into the coolant, leaving a residue in the coolant.Note: Any combination of the above.
Check the cap carefully, to see that it also holds pressure properly.
Hope this helps.
Bill