Computer science tecniques, methodologies, and approaches, are directly applied to improve other enginnering disciplines. Construction is no exception, where software and data analysis are used to improve the processes of control and monitoring of construction projects. Most of the analysis are based on a key-value perspective analysis of the data. However, an emerging Process Mining discipline has proven to be able to capture a different process perspective. This interdisciplinary work is a step on this direction, proposing the Constraint Bag Process Model (CBPM), a novel use of Process Mining for answering process-oriented questions on construction projects.