A Danish inventor has been charged with the murder of a Swedish journalist who police said had been on his submarine before it was wrecked on Friday.
The navy initially said the sub was "found sailing" south of Copenhagen, but Mr Damgaard later said the 40-ton, 60ft-long submarine had sunk.
Madsen said "a minor problem with a ballast tank" a compartment that holds water to provide stability "turned into a major issue" that ultimately caused the submarine to sink.
In a statement to Swedish paper Aftonbladet, Ms Wall's family said: "It is with great dismay we received the message that Kim is missing".
Peter Madsen was arrested Friday on preliminary manslaughter charges after his 40-ton, almost 18-meter-long (60-foot-long) submarine sank off Denmark's eastern coast.
Judge Kari Soerensen announced the ruling Saturday after a two-hour custody hearing held behind closed doors.
"My client denies the allegations", Betina Engmark, lawyer for 46-year-old inventor Peter Madsen told AFP, adding that he was "hurt" to be suspected of involvement in her death.
Kristian Isbak, who had responded to the Navy's call to help locate the ship, sailed out immediately Friday and saw Madsen standing wearing his trademark military fatigues in the submarine's tower while it was still afloat.
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The journalist was born in Sweden and studied at the London School of Economics, Columbia University in NY and the Sorbonne in Paris.
"He then climbed down inside the submarine and there was then some kind of air flow coming up and the submarine started to sink", Isbak told The Associated Press.
Its owner Madsen was rescued shortly before, but there was no sign of the Swedish journalist.
"It took about 30 seconds for Nautilus to sink, and I couldn't close any hatches or anything", he said.
Peter Madsen was arrested Friday on preliminary manslaughter charges after his 40-ton, almost 18-meter-long (60-foot-long) UC3 Nautilus sank.
They described her as "160cm tall, 56kg, 30 years old, with reddish-brown hair and green eyes".
The woman's boyfriend alerted authorities that the submarine was missing early on Friday.
Madsen told authorities he had dropped Wall off on an island in Copenhagen's harbour a few hours into their Thursday night trip.