Guidelines for suction piping design for centrifugal pumps are provided by the Hydraulics Institute Standard and the Pump Handbook (Sect. 11 on Intakes and Suction Piping in the 1976 edition) among other sources in terms of inlet velocities rather than pipe sizes. Generally, recommended velocities are 2-7 fps. I've not seen any guidelines for transitional suction area velocity changes between piping, suction flanges and impeller eye diameters. Practically, complex high flowrate plants with multiple pumps and suction plenums such as electric powerplants cannot live with such low suction pipe velocities due to space, weight and cost considerations and must somehow accomodate pump suction and discharge velocities in the 20-30 fps range. Pressurized, closed systems with ample NPSH margins can easily accomodate such velocities. Low NPSH margin applications near or at two-phase flow conditions cannot do so as readily and need the lower suction velocities or else compensating measures like 1st stage impeller inducers.
For your application, the suction head of 18 feet alone appears to be inadequate for a 4500 GPM average flowrate if your closed system is not pressurized and your pump running speed is more than 900 RPM synchronous. Calculations based on pump specific speed using Stepanoff's Sigma parameter equation 12.14 give, for 4500 GPM and 110 ft. of head, approximate (and not certainly conservative) NPSHR values of 20.5, 35.1 and 88.3 ft. for pump running speeds of 1164, 1746, 3492 RPM (all 3% motor slip). For suction piping velocities of 4, 7 and 20 fps, the required suction pipe diameters at 4500 GPM are 21.5, 16.2 and 9.5 inches, respectively. Where does your cited large NPSH margin come from?