Abstract: A matrix system for performing hydrocarbon operations involving exploration, production, transportation, and delivery of hydrocarbons. The matrix system includes a matrix unit, a user terminal, a tag, and a gatekeeper. The matrix unit includes a multi-dimensional matrix including bins to receive hydrocarbon materials, with fields including rows, columns, levels, and themes. Each bin corresponds to one of the rows, columns, levels, and themes. The user terminal includes a user input to upload the hydrocarbon materials to the matrix unit and a user output to receive the hydrocarbon materials from the matrix. The tag is operatively connectable to the hydrocarbon materials. The gatekeeper includes reviewers to review the hydrocarbon materials and to define access criteria and the plurality of fields for each of the tags, and a system custodian to selectively apply the tag to the hydrocarbon materials based on the review whereby the hydrocarbon materials are selectively accessible by users.