Bella Te Pania, 33, was found inside a vehicle at an Air New Zealand engineering and maintenance facility at Christchurch International Airport on New Year's Eve.
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Emergency services were called to the Air NZ base at Orchard Rd just before 6.50am. However, she died a short time later, police said.
A 42-year-old plasterer arrested at the scene has appeared in court charged with her murder.
Te Pania's cell phone - a black Huawei Y5 with a cracked touch screen and no cover - has not yet been located by police.
Anyone with information that may help with the investigation is urged to phone the police on 105 and quote the file number 191231/9680.
The man charged with murder is due to reappear in the Christchurch High Court on Friday, February 7.