Lot's of good technical information has been provided here.
I would like to add a few non-technical issues speaking as a special inspector and as a code enforcement consultant:
1.) Integrity: Special inspectors are notorious for NOT being at the job site, but still sign off paperwork including reports, trip tickets, etc. The excuse of "... I have to cover 2 or 3 jobs per day..." is not a good excuse for not monitoring work in progress which requires special inspection contractually or mandated by the code. Others get the contractor to take grout samples or cylinders on the inspectors' behalf, etc. The term "continuous inspection" is the verbage used in the UBC/IBC. Periodic inspection is another story all together. Worse cases include signing COC's for work that has never been inspected, but the contractor paid to get a field report by someone willing to attest to monitoring the work. I actually have a photo of a special inspector sleeping behind the masonry structure he was supposed to be monitoring. I really dwell on the subjects of integrity and honesty in my SS&W classes.
2.) Documentation: Many inspectors submit "generic" reports noting "...visit to jobsite, observed cells being pumped..." etc. The report is inconclusive and does not specify clear and concise information such as: what time the work was in progress, or time of gouting, ambient temperature, gridlines or elevations, etc. (Was there any vibration to ensure consolidation and complete fill?)
3.) Continuing Education: Upon recept of their card and wall certificate, most inspectors call it quits as far as further training or studying goes. Many trades are evolving quite rapidly with regards to raw materials used, workmanship, techniques and current industry practices. Many often scoff at the idea of attending code update courses, the codes do evolve as well. So do inspection procedures and requirements in addition to the technical advances.
I could go on, but...