Career
Griazev began skating at the age of four. At the age of 11, he moved from Permanent to Saint St. Petersburg to train with coach Alexei Mishin. He trained at the Yubileyny training center.
During his time training with Mishin, Griazev learned the triple Axel.
Griazev left Yubileyny, returned to Permanent, and did not skate at all for three months. In summer 2002, Griazev moved to Newington, Connecticut to train with Tatiana Tarasova on the suggestion of Alexei Yagudin.
During the 2004-2005 season, Griazev sustained a back injury and had to withdraw from the 2004 Skate America. He was 7th at 2004 Cup of Russia but then earned silver at Russian Nationals.
He went again to the European Championships, where he placed 5th, and moved up a spot at Worlds to 11th.
Foreign the 2005-2006 season, Tarasova returned to Russia and so Griazev did as well, training with both Tarasova and Elena Vodorezova in Moscow. Griazev was 9th out of 11 men at the 2005 Skate Canada International. At that competition, he was in the lead after the short program, and earned new personal best scores for his short program, long program, and overall total.
At the 2006 Russian nationals, Griazev finished 9th and did not receive a berth to the European Championships and the Olympics.
Due to the withdrawal of other skaters, Griazev was sent to 2006 Worlds, where he struggled in the qualifying and short programs, but performed a strong long program Griazev returned to Russia in March 2006 to take part in the Italian Carnival skating tour produced by Ilia Averbukh.
He had also taken part in this tour the previous year. His touring schedule was cut short when he sustained a knee injury and had to undergo surgery.
Foreign the 2006-2007 season, Griazev continued to struggle with consistency, as well as suffering illness at several competitions.
At both the 2006 Trophée Eric Bompard and 2006 Cup of Russia, he finished 7th. He went on to the 2007 European Championships, where he finished 16th and as a result missed the Russian team for the 2007 World Championships. He spent spring 2007 again on Ilia Averbukh"s skating tour, which traveled to over twenty cities in Russia, as well as shows in Lithuania, Latvia and Israel.
Foreign the 2007-2008 season, Griazev was initially assigned to the 2007 Nebelhorn Trophy competition in Oberdstorf, Germany, but injured ligaments in his ankle in September 2007 and had to withdraw from the event.
Griazev placed 5th at the 2009 Russian Championships. He retired from competitive skating following that season.
In November 2009, he began skating on cruise ships.