An image of Damian Chlywka is available here.
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Detectives have now identified a man whose body was discovered in a well in Warlingham on 15 November.
Officers are satisfied the deceased is Damian Chlywka (21/09/1981) a Polish national who came to the UK in 2008.
Police have also made two further arrests for murder. Two men - [H] - 41ys and [I] - 33ys - were arrested on 29 November and taken into custody at south London police stations. They have now been bailed to return on a date in mid-January, pending further investigation.
Police were called after workmen discovered his body in a well outside an address in Audley Drive, Warlingham at around 13:50hrs on 15 November.
Specialist officers, including Metropolitan Police divers, attended the scene and recovered Damian's body which had sustained injuries consistent with an assault, prior to being placed in the well.
Mr Chlywka's body was bound before being placed in the well and it is believed he had been there for around two years.
A post-mortem examination which took place on Sunday, 17 November did not provide a cause of death and further tests are being conducted.
Detective Chief Inspector Cliff Lyons, who leads the investigation, said: "Damian had lived at various addresses across London including two known to be in the Croydon area. At one point he had lived at 11A Audley Drive.
"Our focus now is to build up a fuller picture of Damian's life in the UK.
"We have given the difficult and heartbreaking news to his family who are distraught that this has happened to their loved one.
"I am appealing to anyone who knew or previously worked with him to contact the police and help us to piece together a picture of Damian's life and how it came to end in these distressing circumstances."
Any witnesses or anyone with any information is asked to call the incident room on 020 8721 4961 or call Crimestoppers anonymously on 0800 555 111.
= Officers initially arrested seven men, aged between 21 and 27, on suspicion of murder - they were interviewed and subsequently released on bail until a date in late December.