Paul Wiseman will join fellow spinner Daniel Vettori in New Zealand's side for the second Test against Australia on Friday as the tourists seek to level the two-match series after a heavy first Test defeat.

Australia eased to an innings and 156-run win in Brisbane, persuading New Zealand to dump batsman Craig McMillan and swing bowler Kyle Mills in favour of Wiseman and left-arm seamer James Franklin, who has recovered from a groin strain.

Off spinner Wiseman has 55 wickets in 21 Tests.

"We always had in our minds that we would probably play two spinners in this Test," New Zealand coach John Bracewell said.

"Franklin was always going to play the first Test until he was injured. We are reverting to who we consider to be our number one swing bowler."

With hot weather forecast, the Adelaide pitch is likely to favour spin after heavy scoring in the first few days and New Zealand have been working on combating Australia leg spinner Shane Warne, who took eight wickets in the first Test.

"We can play him better. He's the world's leading wicket taker," captain Stephen Fleming said.

"Just facing leg spinners in the nets is not going to increase our chances of playing Shane Warne, because he is so much better than anything else that you face."

Fleming knows his side had the better of the early exchanges in Brisbane and wants to make sure they do not let any advantage slip in the final Test.

"The mood is one of determination," Fleming added. "The first 2-1/2 days were pretty fair but once the ante was upped, again we fell short.

"We're hoping we can be in a situation where we get our noses in front and try to stay in front."

REMINDER

Australia captain Ricky Ponting said he was delighted at the way his team fought back in Brisbane to win so convincingly.

"The first Test match was a good thing for us," Ponting told a news conference on Thursday. "We didn't play well in the first two days. It was a very good reminder for us that if you are not 100 percent switched on, you will be found out.

"How quickly we changed that around was phenomenal."

Jacob Oram's century in New Zealand's first innings of 353 put the tourists in a good position but big scores from Adam Gilchrist and Michael Clarke, as well as a 114-run stand for the last wicket between Glenn McGrath and Jason Gillespie sapped the confidence of the Kiwis, who were then bowled out for 76.

Underlining their strength, Australia have named their fastest bowler Brett Lee as 12th man behind the pace trio of McGrath, Gillespie and Michael Kasprowicz.

"We're going with the same XI, which is unlucky for Brett Lee again," Ponting said. "All the guys who faced him in the nets yesterday know he is getting back towards his best."

Ponting, who has lost only one Test as captain since succeeding Steve Waugh in March, said he was surprised at the way New Zealand crumbled in the first Test but realised the power of his side.

"When we get on a bit of a run we can be hard to stop. We respect the fighting qualities of the New Zealanders," he said.

"I would expect them to put up a much better show this time."