The pair are both members of the South and Mid Wales Cave Rescue Team.
"They had already been doing the most extraordinary dives through the cave and laying the very robust rope which made all subsequent dives to the soccer team not only possible, but safe", he wrote.
"Great work and we really appreciate it", a Thai military official said as he bestowed on the men the souvenir medals during a ceremony at Chiang Rai airport.
The team became captured within a cave in Thailand on June 23 and survived for 18 long days before being miraculously rescued by a courageous group of worldwide divers.
It's an inspiring story fit for Hollywood: 12 fearless young soccer players trapped in a flooded cave for two weeks, dauntless rescuers risking life and limb to save the team, a wave of support from dozens of countries as the world watched with bated breath for the rescuers to emerge victorious with the Wild Boars safe in hand.
The Thai authorities are planning to set up a museum at the cave site to showcase the daring rescue operation, and a Hollywood production house has announced plans for a film version of the group's ordeal.
The boys were described as generally being in normal condition in a Chiang Rai hospital, though their levels of recuperation varied because they were removed from the cave over three days.
That was British cave diver John Volanthen, who found the boys nine days after they went missing.
"We're not heroes", he told the BBC after arriving back in London.
"We were very very pleased it worked out quite so well, it worked out, the results speak for themselves. Initially we weren't certain they were all alive - as they were coming down I was counting them until I got to 13", he said.
Mr Jewell said: "Our role was to help transport the boys under water through the cave to bring them out".
Meanwhile, thousands of people have joined the call for Dr Harris and Dr Challen to be presented with the Cross of Valour, Australia's highest civilian bravery award with a change.org petition taking more than 33,000 signatures. And then the miracle: they got out.
Twelve members of the Wild Boars junior soccer team and their 25-year-old coach were freed from Thailand's Tham Luang Cave earlier this week after spending two weeks trapped inside the flooded cave system.
Sadly, soon after Dr Harris left the cave his father passed away suddenly.
The Thai Navy SEAL commander said the Royal Thai Navy is always prepared to respond to disasters in the country, stressing his belief in the capabilities of all officials, and thanked for the dedication from all personnel and support from the general public.