Geoenergy has a significant effect in optimizing the analysis of mechanical phenomena during drilling, exploration, production and even release of an oil field. Identifying the technological capabilities of geomechanics in Iran's oil and gas industry is effective in improving the exploration and production process. Therefore, the current research has extracted, categorized and interpreted the basic, organizing and inclusive themes using a multi-method qualitative approach (theme analysis and gray Delphi). Therefore, first, semi-structured interviews were conducted with 14 industrial and academic managers and experts, and using the theme analysis approach based on the inductive strategy, technological capabilities in the field of oil and gas geomechanics were identified and categorized into 7 organizing themes and 34 basic themes. . The themes of the organizer include investment capability with 4 basic themes, linking/networking capability with 5 basic themes, learning capability with 6 basic themes, human resources capability with 4 basic themes, management and strategic capability with 7 basic themes, technical and executive capability with 4 themes Basic, complementary capability is formed by 4 basic themes. Then, by doing gray Delphi, these themes were classified into five classes in order of importance. Credibility in senior managers, the existence of a strategic plan and access to sufficient credit resources were of the highest importance.