IDENTIFY PARAMETERS OF DUAL POROSITY/PERMEABILITY MODELS BASED ON THE DFN SIMULATIONS

• Grant number: 25/15173-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: September 01, 2025
• End date: August 31, 2029
• Field of knowledge: Engineering - Mechanical Engineering
• Principal Investigator: Marcelo Souza de Castro
• Grantee: Victor Manuel Villegas Salabarria
• Host Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Company: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Mecânica (FEM)
• Associated research grant: 17/15736-3 - Engineering Research Centre in Reservoir and Production Management, AP.PCPE

Abstract

This doctoral research project will be carried out in collaboration with a master's projectwhere both students will work together with the goal of generating Finite Elements (FE) meshesfrom data of CT-scan of rock, as shown in Xu et al (2008). This mesh will then be used in thisresearch to assess the material properties of the rock samples such as porosity and permeability.The numerical simulation of the problems generated will involve Darcy flow, Stokesflow, fracture flow, and the coupling between them. Some of these topics were studied by Ewing(1991), Devloo et al (2019), Duran et al (2019) and Guosheng and Yang (2022). To generate arobust, accurate, and efficient software that solves this complex system, several mathematicaland computational concepts will be studied and analyzed such as: multiscale methodologies, forinstance the MHM described in the work of Araya et al (2013), creation of optimalapproximation spaces (De Siqueira et al, 2013), direct and iterative methods for solving linearsystems, hybridization techniques (Devloo et al, 2019), and optimal time integrators.Additionally, the coupling between Darcy and Stokes equations can be very challenging andwill require substantial focus and research.Lastly, the student will generate a methodology to automate the entire process such that,given the CT scan of a rock sample, a mesh is automatically generated, imported into the NeoPZenvironment (Devloo, 1997), a coupled Stokes-Darcy simulation is run, and the results areanalyzed to generate permeability and porosity data. (AU)