Archbishop Charles J. Chaput, who will make the decisions, hopes to be able to announce the final list of school closings in mid-February.
"We are going to try and do this relatively quickly," Farrell said.
On Friday, when the closings were announced, Chaput said that while he had faith in the commission's recommendations, he would review cases in which individual schools believed decisions were based on incorrect information.
Some schools that say they plan to ask for reconsideration assert that the commission used outdated enrollment and financial information.
Under the process the archdiocese has set up, pastors are responsible for filing appeals for elementary schools and should request to meet with a review committee that will handle elementary challenges.
High school presidents should ask to meet with the high school review committee.
Farrell said both committees would be made up of archdiocesan administrators and members of the commission that recommended the closings.
During the closed-door sessions, the committee will present information the commission used to make its findings.
"The school will have an opportunity to present any contrary information," Farrell said.
The affected school will have a chance to present the reasoning for its request as well as supporting documents.
In the cases where schools being closed are set to consolidate with another school, the partner school will be invited to participate as well, Farrell said.
Three representatives from each school will be permitted to meet with the review committees, she said. Pastors, principals, and parish business managers will present the cases for their elementary schools.
The high school sessions will be limited to the school's president, principal, and advisory board chair.
The review committees will make recommendations and present all information to Chaput, and he will decide.
Farrell said she did not know how many schools already had filed appeals or had indicated they were planning to submit challenges.
Bishop Michael J. Fitzgerald, who oversees education in the archdiocese, explained the appeal process to school administrators Tuesday.
The review sessions will begin Thursday.
Contact staff writer Martha Woodall at 215-854-2789 or at martha.woodall@phillynews.com.