An innovative model, based on Cellular Automata (CA) computing, is proposed for flows in unsaturated soils. Transport processes in unsaturated porous formations are normally governed by strongly nonlinear partial differential equations. Numerical simulations remain the most feasible means of solving these equations, for practical problems. Cellular Automata, a mathematical technique based solely on Boolean algebra, is proposed as an alternative modeling tool for these nonlinear equations. In recent years, CA modeling has been successfully applied to a variety of problems, ranging from hydrodynamics to plasma physics. The computational intensity is a fraction of that involved in other numerical modeling methods. The end product of the research will be an efficient tool for simulating flows in agricultural lands.
Anticipated Results:The result will be a CA model for simulating flows in unsaturated soils. This will greatly facilitate the development of methodologies for conserving water resources, and restoring water quality. Potential users will consist of engineers, hydrogeologists, and scientists whose responsibilities include the management, monitoring, and design of water resources systems. The simplicity and efficiency of the CA model will endear the product to thousands of analysts. The final product will be of immense we within the water resources and environmental industries.
