Heidi Klum Files for Divorce From Seal

Heidi Klum has just filed for divorce from Seal ... TMZ has learned.

Heidi cites "irreconcilable differences" in her divorce petition, filed in L.A. County Superior Court.

According to the docs filed by Heidi's lawyer, disso-queen Laura Wasser, the couple signed a post-nup -- meaning they made an agreement after they got hitched to separate their assets. As a result, sources say there is no community property to be divided.

Heidi is asking for joint legal custody of their 4 kids, but she wants primary physical custody ... with Seal getting visitation rights.

Heidi is asking the judge to restore her maiden name -- that would be Klum, although she always used it professionally.

Heidi, who is worth a fortune, is asking the judge to reject any claim for spousal support by either her or Seal. And she wants Seal to pay his lawyer's fees. She'd gladly pay Wasser herself.