The phrase "a vast rush" is correct and usable in written English.
It can be used to describe a large or overwhelming influx of something, such as people, emotions, or events.
Example: "As the concert began, there was a vast rush of fans eager to get closer to the stage."
Alternatives: "a massive surge" or "a great influx".
But ideas are like a vast, rushing body of water that will uproot checkpoints and reconfigure a landscape – if barriers are placed in its way.
It's letting your thoughts flow away from you in a vast, soothing rush until you feel one with everything around you and you're living in the moment.
Now there was a jump ahead, a vast wall rushing towards her, but it was too late to stop.
The animation shows a vast, roiling cloud of rain rushing across a prairie.
Tehran's streets at the height of the morning rush hour resemble a vast, sprawling car park.
To commemorate Motörhead's frontman Lemmy, who finally performed at Glastonbury last year before his death in December, Rush has built a vast structure for the Other stage.
One of the most dramatic developments ("Natural Gas Changes the Energy Map") was the rush to exploit a vast new resource; new drilling technologies have made it possible to economically recover natural gas from shale deposits scattered throughout the country, including in Texas and parts of New York, Pennsylvania, and Ohio.
Rene Henery, California science director for Trout Unlimited, a party to the lawsuit, said the state lost sight of the river's essential role in its rush to develop a vast system of dams, reservoirs and canals that spawned a thriving farm economy.
A vast array of solutions are being rushed forward.
A vast mass of matter it was, bulky, heavy, rushing without warning out of the black mystery of the sky into the radiance of the sun.
