Ok if its not a constant noise then summat aint right, 1st thing to do is remove and clean up all the electrical connections to the lift pump and the main pump. Then try a different fuel pump relay, if that don't fix it replace is the in tank pump first as its the cheaper of the 2, then look at the one under the car.
If yours is a later one >87 it'll be a digi, earlier and it'll be a K-Jet. An 8v/16v K-Jet pump is suitable for both types, but a Digi pump wont be man enough to run a K-Jet engine.
You might want to do the fuel filter at the same time, but thats up to you