A method for cleaning a plugged gravel pack in a subterranean wellbore is provided. The method comprises the steps of using a pressure pulsating jet and a tangential vortex to deliver a pressure pulsating treatment fluid into the gravel pack wherein soluble plugging materials in the gravel pack are dissolved by the treatment fluid and insoluble plugging materials are moved through the gravel pack and circulated out of the wellbore. The treatment fluid is driven into the gravel pack to dissolve soluble fines and displace insoluble fines from the interstitial pore spaces of the gravel pack.