Abstract: Can computers do the job as geologists do by a mode of thinking, judging and reasoning? This is an important goal which mathematical geologi-sts are seeking for. As viewed with new informations combined with the characters of geological science and the recent developments in mathematical geology at home and abroad, the author of this paper describes the reasons why'the artificial intelligence' is introduced into the researches of mathe-matical geology, It emphasizes to open up a frontier for the quantification of geologist intelligence and weed through recent data processings to bring forth the knowledge processings. It is proposed that we are coming into the time of ‘Second Wave' of mathematical geology. Based on the developments of geologist intelligence in mathematical geology, i.e. the combination of precision in value quantification with the activated thinkings, it will provide a flexible solution for the complicated researches of geology in wider and profound degree. Finally, the introduction is briefly made on the expert system and PROLOG language, so that it will help to keep abreast current developments in geology at home and abroad.