Methodology
Placement follows AWWA Manual M51 guidance: combination valves at high points and at the base of long descents, air/vacuum valves where an ascent's grade eases, and periodic valves every 380-760 m (1,250-2,500 ft) along long uninterrupted runs, scaled by pipe diameter. Grade changes under one pipe diameter in elevation are ignored, since flow simply flushes the trapped air through.
Sizing uses the widely-cited rule of thumb of roughly 1 inch of valve size per 1 foot of pipe diameter, snapped to standard nominal sizes — a preliminary estimate, not a substitute for manufacturer fill-rate/drain-rate SCFM sizing tables. Anti-slam recommendations flag points where operating velocity exceeds 2.4 m/s (8 ft/s), fill velocity exceeds 0.6 m/s (2 ft/s), or the point is a pump discharge or steep-grade location.