Typically, the codes tell you to compute a horizontal "g" factor. The load case to be examined consists of this horizontal load, plus 2/3 of this load in the vertical direction.
A seismic event is really a wave moving through the soil, so there are components in all three directions.
If the piping system is predominately in one direction (either X or Z), many analysts would run two cases (XY and ZY), where the Y value is 2/3 the horizontal. If the system didn't have a predominate direction, and you wanted to look at a direction of 45deg in the horizontal plane, then you could setup a case such as (.707X, .667Y, .707Z).
I would then have CAESAR II summarize the restraint loads from all my cases (using the "MAX" combination method) for support design.
You would not want to run a case such as (X, .667Y, Z), since this results in a horizontal load 1.4 times larger than necessary.
_________________________
Regards,
Richard Ay - Consultant