01/08/2010 at 12:00 AM EST
The husband of The Real Housewives of Orange County
star Tamra Barney
has filed for divorce, alleging she cheated on him and is verbally abusive, court documents filed Thursday reveal. Simon Barney
alleges in his filing that Tamra "has been verbally abusive and has committed acts of disloyalty and adultery."
However, in a message on her Facebook page, Tamra says, "Thank you to everyone who understands and supports me. For the record, all accusations are false."
The Barneys' marital troubles come as no surprise to fans of The Real Housewives of Orange County
. In Thursday's episode
, the couple argued -- and Tamra told her mother, "We're seriously heading towards divorce."
The couple, married for almost 12 years, have two daughters, ages 11 and 4, and one son, 9.
Simon is seeking joint custody of the children and is asking the court to deny his soon-to-be-ex-wife any spousal support.
A rep for Bravo, which airs The Real Housewives of Orange County
, had no comment.