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The phrase "a second well" is correct and usable in written English.
It can be used when referring to an additional well, either in a literal sense (like a water well) or in a metaphorical sense (like a second source of information or resource).
Example: "After drilling the first well, the team decided to explore a second well to increase their chances of finding oil."
Alternatives: "another well" or "a second source".
Exact(37)
It'll take just a second — well, sixty of them.
Water circulation through a second well (injection well) additionally increases the productivity of the production well.
Drilling for a second well was expected to begin in two weeks.
Shell had asked to drill a second well just nine miles away.
If the review allowed it to proceed, AltaRock had planned to drill a second well after the first was completed.
A second well was installed 2,000 feet north, but within five years, the salt levels rose there as well.
Similar(23)
In contrast, in a second well-studied B-cell epitope, there were no serotype-dependent differences in synonymous or non-synonymous nucleotide substitutions.
A second well-characterized minor virulence factor that is widespread among Vibrio species14 is hemolysin (HlyA), which is also known as V. cholerae cytolysin or vacuolating toxin.
A second, well-established distinction between the two clases of quasar is in their X-ray properties: radio-loud quasars are more X-ray luminous, and recent results have shown that they also have systematically flatter soft X-ray slopes.
A second well-known hacking group, Team Poison, has also declared cyberwar on LulzSec and claims to have broken into a website of one of the hacking group's leaders.
The 33-year-old student, Karl Helge Hampus Svensson, having been banished from the medical school of the Karolinska Institute in Stockholm on the ground that he falsified his high school records, has now been admitted to a second well-known medical school — Uppsala, Sweden's oldest university.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com