Cellular automata modeling of pipeline corrosion on triangulation grids
The main cause for the deterioration of oilfield equipment and communications is corrosion. In addition to the development of technological methods of equipment protection, modeling of the metal surface corrosion mechanisms is being actively developed today and the involvement of cellular automaton models can serve as an addition to the already used methods. We consider the cellular automata on triangulation grids modeling three-dimensional natural processes, in particular corrosion, on a cylindrical surface that simulates a fragment of a pipeline. The described approach can serve as a basis for the modeling of various phenomena, not limited to diffusion processes. Obtained results are used to construct more complex compositional CA, in which diffusion acts as one of the transition rules, CA-models of the diffusion front propagation and diffusion limited aggregation are constructed. We also created an application that implements the constructed models, and allows the transition from boolean values to continuous functions of the particle concentration distribution, performed by averaging the state values of the automata cells with neighboring cells values, as well as an inverse process called discretization. The results of computational modeling show that the implemented cellular automata are not qualitatively inferior to CA on rectangular grids and at the same time allow the modeling of processes on the surfaces with complex geometry, for example, the surfaces of pipeline communications.