A mathematical model relevant for weakening of chalk reservoirs due to chemical reactions. - Steinar Evje; Aksel Hiorth; Merete V. Madland; Reidar I. Korsnes (Networks Heterog. Media, 2009)

A mathematical model for dynamic wettability alteration controlled by water-rock chemistry. - Steinar Evje; Aksel Hiorth (Networks Heterog. Media, 2010)

An improved lattice Boltzmann method for simulating advective-diffusive processes in fluids. - Olav Aursjø; Espen Jettestuen; Jan Ludvig Vinningland; Aksel Hiorth (J. Comput. Phys., 2017)

History-Matching of Imbibition Flow in Multiscale Fractured Porous Media Using Physics-Informed Neural Networks (PINNs). - Jassem Abbasi; Ben Moseley; Takeshi Kurotori; Ameya D. Jagtap; Anthony R. Kovscek; Aksel Hiorth; Pål Østebø Andersen (CoRR, 2024)

Challenges and Advancements in Modeling Shock Fronts with Physics-Informed Neural Networks: A Review and Benchmarking Study. - Jassem Abbasi; Ameya D. Jagtap; Ben Moseley; Aksel Hiorth; Pål Østebø Andersen (CoRR, 2025)