Difference between Heave Up and Gouge Out

HEAVE UP vs GOUGE OUT: VERB

Rake up, Rake in, Keep down, Do away with, Hike up, Chuck out, Take hold, Reel off, Upblow, Whittle down, Carry off, Knock over, Heft up, Heft, Heave

Snaphead, Triblet, Peck at, Exscind, Malleate, Pertuse, Rake up, Drawbore, Gouge, Saxicavous, Whittle down, Thirl, Center punch, Scrobiculate, Hew out

Keep apart, Parbuckle, Rake up, Rake in, Keep down, Do away with, Hike up, Chuck out, Take hold, Reel off, Upblow, Whittle down, Carry off, Knock over, Heave

Snaphead, Triblet, Peck at, Exscind, Malleate, Pertuse, Rake up, Drawbore, Gouge, Saxicavous, Whittle down, Thirl, Center punch, Scrobiculate, Hew out

And far upon the beach heave up the sand; Then backward rapidly they take their way, Repulsed from upper ground, and seek the sea.

A picture posted on WFXT-TV's website showed a gouge out of the Southwest jet's wingtip, the vertical part at the end of the wing.
My mother would gouge out the eye of a passing stranger if she heard someone end a sentence with a preposition.
It sort of worked but it seemed to gouge out soft areas in the counter top.
Non gouge out Sapphire crystal is work on all our Rolex Carbon copy watches.
As this plasma explosively expands, it will gouge out the same sized crater.
Thick paper, using a stylus to gouge out lines, form and textures.
To gouge out, scoop out, pluck, extract; to shell, as beans; to reach up at.