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http://www.brickboard.com/FAQ/700-900/FuelSystem.htm

The noisy fuel pump makes me suspect the little in-tank fuel pump is not
running. The main pump would be trying to suck fuel from the tank. The pump
can fail or the fuel pump relay that controls the pump may have failed.

A lot of people say they can hear the pump running by removing the gas cap
and listening to the tank when the ignition is on (whether or not the engine
is running). I can't hear it, myself.

Also, if this is the problem, you will have worse symptoms when the fuel
level in the tank is low. With a full tank it should be noticeably better.

Mike

Is this happening at all speeds? Have you tried it with a full tank of
gas and then tested it idling, slow moving, and then opening the
throttle up?

I would first buy a can of Sea Foam from the local hardware/auto store
and pour 1/2 can into the fuel tank and run the tank. This will clean
the injectors and fuel system. From there I'd replace the exterior fuel
filter.

Next I'd test to see if the fuel injector seals are dried and might be
leaking. After that it might be time to look at the in-tank fuel
filter.

Also, the fuel pump relay is cheap - I'd replace that for peace of
mind.

Lastly, is it time for new plugs and wires? And, if you're handy with a
wrench, pull the distributor off and check the points and rotor.

Jamie
1987 Volvo 740 GLE (B230F)
199,000 miles.

PS: How many miles are on this car?