You need to calculate the headwater depth of the downstream pipe. It will extend as far as that contour, which, as you suspect, could affect your upstream pipe. Your tailwater depth of the upstream pipe will be equal to the headwater depth of the downstream pipe.
Really, though, this shouldn't be a problem, because if the pipes are 50m apart, you're not getting much additional flow to the second pipe and it'll only have to deal with the water coming out of the first. As long as the pipes are the same size, or the downstream one is bigger, and there's no significant change in flow, then you should be fine between pipes, but may have headwater issues upstream.