PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 4
Communication Breakdown; Situational Awareness
ATC Issue All Types; Deviation / Discrepancy - Procedural Clearance; Inflight Event / Encounter CFTT / CFIT
Human Factors
Clearance delivery gave Aircraft X his clearance. He was issued the ODP [Obstacle Departure Procedure] climbing to 5;000 [feet]. Clearance Delivery coordinated with me the release at which time I gave a release. Upon departure; Aircraft X checked on with me and stated his altitude leaving and stated that he was climbing to 3;100 [feet]. I did not pay much attention to this because he was assigned 5;000 [feet] and Clearance Delivery reassured me of his correct read back. See as the ODP [Obstacle Departure Procedure] initial altitude was climb runway heading to 3;100 [feet] then climbing left turn direct to VOR. When the aircraft reported climbing to 3;100 [feet]; I assumed that only meant initially and then would continue his climb per his clearance and the ODP. The aircraft didn't seem to be climbing very fast; so I re-inquired with him the altitude he was climbing to. After stating again 3;100 [feet]; I reissued 5;000 [feet]. Because he was not making a turn; I then complied by the 900 feet rule and climbed him once leaving 3;300 [feet] in a 4;200 [feet] MVA.  QA/QC deemed that because he told me that he was only climbing to 3;100 [feet] even though his clearance was to 5;000 [feet] and I did not immediately correct this; that I had a significant MVA event. I would recommend not punishing a controller for a pilot deviation.
TRACON Controller reported a clearance problem which led to an aircraft being below the Minimum Vectoring Altitude.