Porous-DeepONet: A deep learning framework for efficiently solving reaction-transport equations in porous media
Porous media play a critical role in various industrial fields due to their complex pore networks and considerable specific surface areas. The transport and reaction phenomena within porous media are key factors influencing fundamental parameters such as energy storage efficiency, catalytic performance, and adsorption rates. To accurately describe these complex transport and reaction processes, solving parameterized partial differential equations (PDEs) is necessary. However, due to the complex structure of porous media, traditional methods, such as the finite element method (FEM), require substantial computational resources. There is an urgent need for innovative methods to accelerate the solution of parameterized PDEs in porous media. Researchers have developed a novel deep operator network, Porous-DeepONet, which can efficiently capture the complex features of porous media and thereby more precisely and effectively learn the solution operators, providing a robust alternative for sol...