I think you are trying to describe a Lumbar Puncture, which is performed in the lower (lumbar) region of the spine.
Bronchocentesis is the medical term meaning surgical puncture of the bronchus. Broncho- refers to the bronchus, and -centesis to surgical puncture.
Uterine perforation is used for accidental puncture of the uterus. Hysterocentesis is the medical term meaning surgical puncture of the uterus.
Laryngocentesis is the medical term meaning surgical puncture of the larynx.
Venipuncture is the medical term meaning surgical puncture of a vein. It's a very common medical, not surgical, procedure. It describes the procedure used to take a blood sample, typically from the antecubital (front of elbow) space.
Craniostomy.
centesis- is the suffix meaning a surgical puncture to remove fluid. An example would be amniocentesis. punturing of the aminotic sac to remove amnion for testing. -centesis
Arthrocentesis is the term meaning surgical puncture of a joint. This procedure is usually done to remove fluid for analysis or to increase comfort.
Ovariocentesis
-centesis is the medical terminology combining form meaning surgical withdrawal of fluid from a body cavity. So arthorcentesis is withdrawal of fluid from a joint, and tympanocentesis is withdrawal of fluid from behind the eardrum.
The medical term for surgical puncture of the spine is "lumbar puncture" or "spinal tap." This procedure involves inserting a needle into the spinal canal to collect cerebrospinal fluid for diagnostic or therapeutic purposes.
keratorrhexis
The medical term for surgical puncture of the pleural cavity to remove fluid is thoracentesis. This procedure involves inserting a needle through the chest wall to drain excess fluid from around the lungs for diagnostic or therapeutic purposes.