The present disclosure relates to a measuring device including a measuring pipe for conducting a flowable medium. The measuring pipe has an inner lateral surface is designed to be, at least in portions, electrically insulating, and at least one monitoring electrode. The at least one monitoring electrode is arranged on the electrically insulating portion of the inner lateral surface in a medium-contacting manner. The measuring device also includes a measuring apparatus for determining a process property of the medium, and an abrasion detection device which is designed to determine at least one variable corresponding to an abrasion of on the at least one monitoring electrode.