The couple will apparently file divorce papers in the LA County Superior Court early next week, TMZ reported.
The website said German supermodel Heidi, 38, will cite ‘irreconcilable differences’ as the reason for the split.
The reports have shocked fans of the couple who often make public displays of affection at red carpet events, and are a picture of happiness with their four children.
The couple or their management are yet to comment on the reports.
They were last seen together on December 27, with Heidi tweeting a picture of her and her husband smiling against the backdrop of mountains in Aspen, Colorado.
They met in 2004 while Heidi was pregnant with her daughter Leni, now seven, with Italian businessman Flavio Briatore.
London-born crooner Seal, 48, was present for Leni’s birth and later adopted her.
He proposed on December 23, 2004, in an igloo he had built on a glacier in Whistler, British Columbia.
The couple married on the beach on May 10, 2005 in Mexico, near Seal’s home on Mexico’s Costa Careyes.
They have three children, Henry, six, Johan, five, and Lou, two.
The couple is famous for renewing their vows every year on their anniversary in a lavish ceremony.
In 2010, Seal gushed about the tradition.
‘Each year, Heidi and I get remarried,’ he said.
‘It’s a great party, but for about an hour, we go off on our own down to a private beach. We sit there with the kids and read vows to each other as the sun sets. It’s a very special moment to us.’
Splitting up their assets may prove to be a lengthy process.
According to Forbes, Heidi raked in $20 million last year. It’s unclear how much Seal made.
Heidi was previously married to stylist Ric Pipino in 1997 but the couple divorced in 2002.
Seal was spotted arriving at LAX yesterday morning, after promoting his new album in London.
His wife attended the Golden Globes alone on Sunday.
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