Froome, 30, leads the race but has had to defend himself against accusations of using performance-enhancing drugs.
On Sunday, a commentator on French TV questioned his dominant Stage 10 win.
"We thought we'd give people concrete numbers and facts," said Brailsford.
On Tuesday - the race's second rest day - Brailsford invited Team Sky's head of performance Tim Kerrison to reveal the real numbers behind Froome's display at La Pierre-Saint-Martin.
It took place on 14 July and saw Froome launch a devastating attack with 6.4km left that culminated with the Team Sky rider winning the stage and also taking significant time out of all his major rivals.
