A lot of people talk about gas as "obstructing the pipe", but that is not really accurate. I think of it as disrupting the pressure rebound on the downstream side of the hill.
When a line is liquid-full (disregarding friction) the pressure at a given upstream elevation will be the same as the pressure at the downstream of the hill at the same elevation. If the line is not liquid full, then the pressure at the upstream bottom of the hill will include the hydrostatic head of however much liquid is in the upstream leg (usually pretty close to the height of the hill). The pressure at the bottom of the downstream leg will be less because the downstream leg is farther from full. Sometimes the pressure at the bottom of the downstream leg will be very low for a significant hill.
Bottom line of all this is that if you are just jogging a few feet to get over the foreign line in pretty flat country then you are not going to see a huge problem. It can be big if there are significant elevation changes.
To evaluate the net effect of multi-phase flow, I generally get very close to actual conditions by doing a 4 step process: (1) calculate the single-phase pressure drop in the line (for gas I use the Isothermal Gas Equation, for liquid I use Darch-Weisbach); (2) calculate the 2-phase friction using Duckler (see GPSA Engineering Field Data Book); (3) I use the Flannigan Correlation to get the dP due to elevation changes; and finally (4) I add the three dP's together and am always within 20% of observed conditions (better than the high-dollar multi-phase flow models generally do). The second step for you probably isn't applicable since you don't seem to have much gas. The third step is important for your process. It is also described in GPSA. In this step you add together all the up-hill portions of your line traverse (disregard downhills). It can result in a big dP. In your case if the dP is more than you can tolerate put in the vent. If not, ignore it.
David Simpson, PE
MuleShoe Engineering
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