"Turbulence" is a technical term with a precise definition (i.e., Reynolds Number greater than 6000) that is used in many no-technical discussions (e.g., "the airplane experienced turbulence"). Turbulence is manifested as a random three dimensional motion imposed on the flow. The 22 psid you are talking about is not "turbulence" as much as it is "interference" or "phase interactions".
Each of your three inputs is moving at its own bulk velocity, which means it is at a different dynamic pressure (very very small differences, granted, but different nonetheless). Until these streams homogenize themselves, they will act like a multi-phase flow, which means that they will expend a lot of energy changing flow regime, just like a multi-phase stream..
The useful flow area of a line is a very complex subject, but a rule of thumb that works is 2X8"=10", 8"+10"<12", 2X10"=12". This is not obvious from combining flow area and converting the combined area to an effective diameter (e.g. 8+8=11.3), but the wetted area (i.e. the place where the no-flow boundary occurs) is 3/5 as big in the 10" which makes the big pipe more effective than the two smaller pipes. CFD runs supports that the reduction in the volume of the no-flow boundary theoretically makes the pipe more efficient. Putting two 8-inch streams into an 8-inch pipe significantly increases the velocity of the combined stream. If you had known you were going to combine these three streams at design time, the departing pipe should have been 12" instead of 10", nothing you can do about that now.
As a general rule, I would have tied the new production unit into the second stub instead of the first stub (the models show slightly better mixing with a side stream instead of a head-to-head stream, but not big enough to change it if already built, the head-to-head configuration is probably costing you 2-3 psid of the 22 you are losing. The rest is just too much gas in too little space, the reservoir will fix that for you over time.
David Simpson, PE
MuleShoe Engineering
In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual. Galileo Galilei, Italian Physicist