Computational Modelling of Multi-scale Solute Dispersion in Porous Media

Focusing on stochastic calculus, this research monograph addresses the critical issue of predicting dispersivity from hydraulic conductivity covariance in porous media. It emphasizes the significance of this problem for applications like tracer analysis and enhanced recovery via gas injection. The book offers a comprehensive mathematical model and effective numerical methods, beginning with an overview of dispersion coefficient scale dependence. It also reviews relevant stochastic calculus topics and details a generalized solute transport model applicable across scales, avoiding Fickian assumptions.