In an exclusive interview with Eyewitness News, the woman asked that her face and name not be shown.
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The 36-year-old, who only wants to go by Aurora, recalled the incident that happened on Easter Sunday. She was relaxing on the sand at Venice Beach.
"I remember screaming so I was definitely in pain, but I don't remember specific sensations of pain. I just remember that it was awful," she said.
Aurora said she had fallen asleep just off the boardwalk, by other sunbathers, when an LAPD vehicle patrolling on sand ran over not just her head, but the length of her body.
"I think when he saw me, he was like, 'Oh my gosh, there's a person.' And he said, 'Are you OK?' And I told him, 'You're on my leg.' So the tire did kind of land on my leg for a while," Aurora said.
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Police say the officers did not see her lying on the sand.
An off-duty E.R. physician who happened to be at the beach stayed with Aurora until paramedics arrived.
After three days in the hospital, she said she's nursing broken ribs and still suffers dizziness, but she said it could have been so much worse.
"I'm really happy to be alive right now," Aurora said.
The LAPD said it does not have an alert system or broadcast system to warn people when cruisers are patrolling on the beach. The department said the accident remains under investigation.