Richard and his doubles partner Fabrice Santoro battled to victory in their first round doubles match on Tuesday.
The French duo dropped the first set against Spaniards Fernando Verdasco and David Ferrer, but recovered well to take the second and hung tight to edge out the match tie-break. Final Score: 6-7(5), 6-2, 17-15.
In the quarterfinals they will face second seeds Simon Aspelin and Julian Knowle, last year's US Open champions.
