Neither, Gibson or Grigorieva has commented on the picture.
The estranged couple is in the middle of a nasty custody battle over their 8-month-old daughter, Lucia.
The alleged attack against the 40-year-old Russian musician is said to have taken place on January 6 at Gibson's Malibu home. The two were reportedly involved in a heated exchange as part of the ongoing custody dispute.
"What kind of a man is that?" she is heard saying in the recording, posted on celebrity website RadarOnline.com (Warning: It contains strong language). "Hitting a woman when she's holding a child in her hands? Breaking her teeth twice in the face! What kind of man is that?"
RadarOnline has been releasing pieces of audio recordings that are laced with expletive and racial slur-filled rants.
On Thursday, an expletive-filled phone call referred to a sexual episode that never happened because someone fell asleep.
"I deserve to be ... (expletive deleted) first, before the ... (expletive deleted) jacuzzi," Gibson is heard saying in the recording, posted on celebrity website RadarOnline.com (Warning: It contains strong language). "Ok, I'll burn the goddamn house up, but ... (expletive deleted) me first! How dare you! How ... (expletive deleted) dare you," he screams.
The actor has not commented on the recordings. His attorneys do not dispute that it is the voice of the Oscar-winning actor/director.
Attorneys for Gibson and Grigorieva did not speak to reporters after a hearing on Thursday.
The actor did get some support from his estranged wife, Robyn, who filed a brief declaration stating that the actor had never physically abused her or her children. Mel and Robyn Gibson have seven children together, only one of whom is younger than 18 years old.
Like all documents in the custody dispute, Robyn Gibson's declaration is sealed.
Robyn Gibson filed for divorce in April 2009. The case is ongoing.
Meanwhile, detectives investigating Gibson for a possible domestic violence case have received the audio recordings from the court.
Sheriff's spokesman Steve Whitmore said CDs were turned over during the court hearing. The hearing was attended by several sheriff's investigators, including detectives who look in possible child abuse.
Whitmore said investigators would try to authenticate the recordings, but declined to say how much audio was received from the court.
The Associated Press contributed to this story.