Bianca Rinehart has been given the green light to sue her estranged mother Gina for alleged misconduct in managing the multibillion-dollar family trust, including allegations she "improperly spent company money on personal expenses".

Ms Rinehart, who replaced Mrs Rinehart as the trustee following a protracted legal battle, asked the Supreme Court for judicial advice as to whether she would be justified in taking further action against her mother for alleged underpayment of mining royalties.

Bianca Rinehart outside the Supreme Court in 2015. Credit:Ben Rushton

The mining mogul's eldest children will claim Mrs Rinehart's flagship company Hancock Prospecting failed to pay them and their younger siblings dividends from certain tenements. The unpaid dividends amount to approximately $500 million, of which the trustee would receive about $120 million.

They will also allege Mrs Rinehart breached her fiduciary duties when she was trustee of the Hope Margaret Hancock Trust by failing to ensure dividends were paid by Hancock Prospecting to the trust. Further, they claim she actively took steps to deny appropriate dividend payments.