The phrase "highly well" is grammatically correct and can be used in written English. It is typically used to express the degree or level of something being done or performed exceptionally well. Example: The team was highly well prepared for the competition, resulting in a resounding victory.
That accolade goes to disgraced evangelical Ted Haggard, once a familiar fixture in America's fundamentalist ranters' circuit: a highly well-paid gig, incidentally (it's easier for a camel to go through the eye of a needle than a rich man to enter the gates of Heaven, but the Lord will always make the odd exception).
Topologically [28] and chemically patterned surfaces [29], solvent annealing [30, 31], temperature gradients [32] and electric fields are some of the techniques which utilize physical and chemical constraints to direct self-assembly of block copolymers into highly well-ordered geometries.
Finally, we also defined a non degenerate primer (Retro1+) conserved among DIRS1-like elements of Alvinocarididae and that spans the highly well-conserved YLDD motif that is present in both LTR retrotransposons and DIRS-like elements.
Yuppies with a French twist: highly educated, well paid, well traveled with deep concerns about issues like sustainable development.
For 17 years, she has counseled professionals, business managers, engineers, accountants, scientists — people who are mature, middle-aged, highly motivated, well-educated, well-spoken.
"[Altrincham girls'] is full of highly able, well motivated girls who are financially and socially secure.
"In the eastern part of Aleppo, the population will have to resort to highly contaminated well water.
An existing company would have to be highly specialised, well protected, or foolish to ignore these disruptions.
They point out that these men are highly trained, well connected and dangerous militant operatives.
