Pore-network modeling is a computational approach used to simulate fluid flow and transport in porous materials such as rocks, soils, and biological tissues. It involves representing the complex network of interconnected pores within the material as a simplified mathematical model, typically using graph theory. This model can then be used to study various properties of the porous material, such as permeability, porosity, and fluid saturation, and to predict how fluids will flow through the material under different conditions. Pore-network modeling is widely used in various fields including geology, petroleum engineering, and materials science. It provides valuable insights into the behavior of porous materials and can help optimize processes such as oil recovery, groundwater management, and drug delivery.