She was flown to Royal Adelaide Hospital and is still in a critical condition.
"Right before she landed something went wrong, we believe it may have been turbulence. If it was that, it was severe," Club Safety Officer Richard Timperon toldmedia at the time.
"We had several witnesses, including myself, see an experienced skydiver have a hard landing."
It is believed the woman was part of a skydiving group when the accident occured.
It's understood the Australian Parachute Federation is investigating the jump.
Earlier, a spokesman for the Adelaide skydiving school told reporters the woman had completed more than 150 jumps.
"It's understood her parachute deflated 30 metres before landing," a SA Police spokesman told the Daily Mail.
"Police have taken statements from a number of witnesses and the Australian Transport Safety Bureau will be investigating."
Adelaide Tandem Skydiving School, one of the few places to learn the craft in South Australia, is run by Allan Gray.
In its business description, Gray is described as having "over 30 years of military service including as an instructor at the Australian Army Parachute Training School".
"Our Instructors have over 50,000 skydives between them and we have the highest number of National and World skydiving record holders in South Australia," the business description reads.
"Our Chief Instructor has two World records, a European record and over eight National skydiving records. Our highly experienced and professional instructors can take you for a tandem or teach you to skydive solo. We tailor the adrenaline rush to suit you."