These included allegations that he failed to report adequately to the board, conducted operations without approval (in some cases negligently), entered into improper related-party dealings and made inappropriate recruitment decisions.
Dunphy and Masfen sought orders that Sturgess' interests sell their stake in the Greymouth group and sought damages for the now-former director's alleged negligence.
After a seven-week trial Sturgess - and interests associated with him - were ordered to sell their shares at fair market value by Justice Murray Gilbert.
In his decision last May, the judge said Sturgess had a "readiness to ascribe responsibility to others when things went wrong" and listed examples of this.
"These instances, and others like them, combined with Mr Sturgess' inadequate, evasive and sometimes misleading reporting, led to the destruction of trust that was essential to the working relationship between Mr Sturgess and the other two directors. This had become a major issue by the end of 2010. I consider that Mr Sturgess must take primary responsibility for this," Justice Gilbert said.
Dunphy, and interests he represents, hold 52 per cent of the company while Masfen - with his wife - owns 34 per cent. Sturgess and interests associated with him own 14 per cent.
The value of the 14 per cent stake - presently due to be sold - will be determined after an arbitration hearing, scheduled for next month.
In the meantime, Sturgess has launched a "wide-ranging appeal" and is challenging the findings that he was negligent and breached reporting obligations.
In turn, Greymouth Petroleum Holdings is appealing against "the High Court's failure" to order damages, or an inquiry into damages.
The trustees of a family trust associated with Sturgess - Jet Trustees Ltd - is also making an appeal.
The appeals are due to begin this morning and will be heard together by Justices Anthony Randerson, Forrest Miller and Douglas White.