@michelle426 The required minimum for CA residents is 3.0. But in reality admission to the UC is competitive and many students have a lot higher GPA. The average UW of admitted students to UCSB is 3.71, and low UW is 3.16 (2015). In the OP case, the high test scores will help to offset the low GPA 3.1. See the scattergram here:
http://www.collegedata.com/cs/admissions/admissions_tracker_result.jhtml?schoolId=635&classYear=2013
The scattergram shows that students with UW GPA below 3.50 and SAT scores below 1800 were denied.